Questions on Word Problems: Miscellaneous Word Problems answered by real tutors!

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Question 1118109: when z is divided by 8remainder is 5 what will be remainder when 4z is divided by 8
Click here to see answer by greenestamps(13195) About Me 

Question 1118113: An employment agency specializing on temporary construction helps pays heavy equipment operators $132 per day and general laborers $97 per day. Of thirty people were hired and the payroll was $3680,how many heavy equipment operators were employed? How many laborers?
Click here to see answer by stanbon(75887) About Me 

Question 1118140: compute a one-sample t-test comparing the age of your sample to the age of the general population of college students in traditional on-ground universities. Assume the population mean is 21.
Move your output into a Microsoft Word document and write a 1-paragraph, APA-formatted interpretation of the results.

Click here to see answer by ikleyn(52751) About Me 

Question 1118108:
Click here to see answer by Shin123(626) About Me 

Question 1118143: Using Minitab Express, compute a one-sample t-test comparing the age of your sample to the age of the general population of college students in traditional on-ground universities. Assume the population mean is 21.
Move your output into a Microsoft Word document and write a 1-paragraph, APA-formatted interpretation of the results.


ID Sex Age Height Year In College
1 M 19 63 freshman
2 M 20 68 Sophomore
3 F 18 62 Junior
4 F 21 65 Sophomore
5 M 19 69 freshman
6 M 20 72 Sophomore
7 M 23 60 Senior
8 F 23 63 Junior
9 M 20 68 Freshman
10 M 18 65 Freshman
11 F 21 62 Sophomore
12 F 19 60 Sophomore
13 F 23 64 Senior
14 M 19 67 Sophomore
15 F 18 61 Freshman
16 M 24 64 Junior
17 M 25 68 Senior
18 M 23 65 Junior
19 F 21 62 Sophomore
20 F 18 60 Freshman
21 F 24 67 Junior
22 F 25 66 Senior
23 M 18 67 Freshman
24 F 21 61 Junior
25 F 19 64 Freshman
26 M 20 63 Junior
27 M 19 68 Junior
28 F 23 65 Senior
29 F 22 66 Sophomore
30 F 21 63 Sophomore
31 F 18 69 Freshman
32 M 19 72 Sophomore
33 F 23 68 Senior
34 M 22 71 Senior
35 M 21 65 Junior
36 M 19 62 Sophomore
37 F 20 59 Sophomore
38 M 20 63 Junior
39 F 22 70 Senior
40 F 24 58 Junior






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Question 1118154: the time on a digital clock is 5.55. how many minutes will pass before the clock next shows a time with all digits identical?
Click here to see answer by josgarithmetic(39613) About Me 

Question 1118202: If $16,000 is the largest share when money is divided using the ration 2 : 3 : 5
i) How much is the smallest amount?
How much is the entire amount that was divided?

Click here to see answer by ikleyn(52751) About Me 

Question 1118210: The dimensions of a rectangle are such that its length is 5 in. more than its width. If the length were doubled and if the width were decreased by 2 ​in., the area would be increased by 162 in.squared. What are the length and width of the​ rectangle?
Click here to see answer by josgarithmetic(39613) About Me 

Question 1118134: The P-Value in your data output is ___________
a)The probability that you have a Type I error in your data

b)the alpha

c)the critical value

d)both the probability that you have a Type I error in your data and the alpha
: When you are computing a one-sample t-test, you are comparing the mean of your sample with the mean of the population.
a) True b) False
When you find a significant difference between the means, it is important to explain that difference in the formal report.
a) True b) False

Click here to see answer by Boreal(15235) About Me 

Question 1118248: Hi
if cos u = 2/3 u is not in the first quadrant then what is the solution to the following:
in the numerator cosu - 2cotu.
in the denominator tan u -3sinu.
thanks





Click here to see answer by Theo(13342) About Me 

Question 1118253: Hi
A is 5km from a lighthouse on a bearing N37W. B is 12km from the same lighthouse on a bearing of S53W.
find the distance and bearing of B from A.
thanks

Click here to see answer by Alan3354(69443) About Me 
Question 1118253: Hi
A is 5km from a lighthouse on a bearing N37W. B is 12km from the same lighthouse on a bearing of S53W.
find the distance and bearing of B from A.
thanks

Click here to see answer by addingup(3677) About Me 

Question 1118220: Brian buses tables at a local cafe. To bus a table, he must clear the dirty dishes and reset the table for the next set of customers. One night he noticed that for every three-fifths of a table that he bused, another table of customers would get up and leave. He also noticed that right after he finished busing a table, a new table of customers would come into the restaurant. However, once every table was empty (no diners were left in the restaurant), nobody else came into the restaurant. Suppose there were six tables with customers and one unbused table. How many new tables of customers would come in before the restaurant was empty? After the last table of customers had left, how many tables were unbused?
Click here to see answer by KMST(5328) About Me 

Question 1118351: Hi
Half of johns pocket money is 3/7 of toms pocket money. If tom has $2 more than john, how much does john have.
thanks

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Question 1118351: Hi
Half of johns pocket money is 3/7 of toms pocket money. If tom has $2 more than john, how much does john have.
thanks

Click here to see answer by greenestamps(13195) About Me 

Question 1118346: Differentiation
An empty open container in the shape of an inverted cone has a circular top of radius (r+3) m and a depth of h m, where r and h are constants. Water is poured in at a constant rate of 18pie m^3/s. After t seconds, the volume of water, V in the container is at a depth of (h-1) m.
(i) Show that h=[(r+k)/k], where k is a constant to be determined. Hence, express V in terms of r.
(ii) Given that the change of the radius increasing at the rate of (2r+1) m/s, show that r satisfies the equation 2r^3 + 13r^2 + 24r - 72 = 0. Hence, find the value of r.
(iii) Find the rate at which the depth of the water is increasing when t=3.

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Question 1118365: When Computing a t-test comparing males' and females' heights, which type of t-test would be appropriate to use?
Click here to see answer by Theo(13342) About Me 

Question 1118395: Hi
9 out of every 20 pupils take a bus to school. The rest either by car or van. The ratio of the pupils who go by bus to those by van is 3 to 1. How many pupils are in the school if 720 go by car.
thanks

Click here to see answer by josgarithmetic(39613) About Me 
Question 1118395: Hi
9 out of every 20 pupils take a bus to school. The rest either by car or van. The ratio of the pupils who go by bus to those by van is 3 to 1. How many pupils are in the school if 720 go by car.
thanks

Click here to see answer by greenestamps(13195) About Me 

Question 1118419: compare 2 groups of employees. One group would receive a bonus and the other would not. We would compare the means of these 2 groups on work productivity.
What issues do you see with this between subject approach?

Click here to see answer by ikleyn(52751) About Me 

Question 1118260: Is it problematic to change the alpha from .05 to .10?
What kind of error are we more likely to make (and why) by increasing alpha?
If we don't want to increase the alpha from .05 to .10, then what can we do to the critical regions to maintain an alpha of .05?

Click here to see answer by Boreal(15235) About Me 

Question 1118436: A triangular traffic island has a base half as long as its height. The island has an area of 196m^2

. Find the base and the height.

Click here to see answer by josgarithmetic(39613) About Me 
Question 1118436: A triangular traffic island has a base half as long as its height. The island has an area of 196m^2

. Find the base and the height.

Click here to see answer by MathTherapy(10549) About Me 

Question 1118457: Hi
steve has 20% more stamps than john. If steve has 150 stamps more than john, find their total number of stamps.
thanks

Click here to see answer by josgarithmetic(39613) About Me 

Question 1118462: Hi
bob had a total of 720 apples and oranges. 70% of them were oranges. He bought some more applesso that tthe percentage of apples increased to 40% of the total number of fruits. How many apples did he buy.
thanks

Click here to see answer by htmentor(1343) About Me 

Question 1118320: Anika's checking account had a balance of $3,100.55 on July 1. After looking at her bank statement, she noticed an NSF for $60.50, a service charge of $12.55, and a note collected for $600. There was one deposit in transit for $400 and no checks outstanding. What's the reconciled checkbook balance?

Click here to see answer by Alan3354(69443) About Me 

Question 1118530: Hi
60% of the buses in a city are owned by A and the rest by B. When B bought 80 new buses, the percentage of its buses increased to 52% of the total of the number of buses. How many buses did
B have after the increase.
thanks

Click here to see answer by greenestamps(13195) About Me 

Question 1118209: compute a one-sample t-test comparing the age of your sample to the age of the general population of college students in traditional on-ground universities. Assume the population mean is 21.
Move your output into a Microsoft Word document and write a 1-paragraph,
ID Sex Age Height Year In College
1 M 19 63 freshman
2 M 20 68 Sophomore
3 F 18 62 Junior
4 F 21 65 Sophomore
5 M 19 69 freshman
6 M 20 72 Sophomore
7 M 23 60 Senior
8 F 23 63 Junior
9 M 20 68 Freshman
10 M 18 65 Freshman
11 F 21 62 Sophomore
12 F 19 60 Sophomore
13 F 23 64 Senior
14 M 19 67 Sophomore
15 F 18 61 Freshman
16 M 24 64 Junior
17 M 25 68 Senior
18 M 23 65 Junior
19 F 21 62 Sophomore
20 F 18 60 Freshman
21 F 24 67 Junior
22 F 25 66 Senior
23 M 18 67 Freshman
24 F 21 61 Junior
25 F 19 64 Freshman
26 M 20 63 Junior
27 M 19 68 Junior
28 F 23 65 Senior
29 F 22 66 Sophomore
30 F 21 63 Sophomore
31 F 18 69 Freshman
32 M 19 72 Sophomore
33 F 23 68 Senior
34 M 22 71 Senior
35 M 21 65 Junior
36 M 19 62 Sophomore
37 F 20 59 Sophomore
38 M 20 63 Junior
39 F 22 70 Senior
40 F 24 58 Junior






Click here to see answer by ikleyn(52751) About Me 

Question 1117651: ID Sex Age Height Year In College
01 M 19 63 freshman
02 M 20 68 Sophomore
03 F 18 62 Junior
04 F 21 65 Sophomore
05 M 19 69 freshman
06 M 20 72 Sophomore
07 M 23 60 Senior
08 F 23 63 Junior
09 M 20 68 Freshman
10 M 18 65 Freshman
11 F 21 62 Sophomore
12 F 19 60 Sophomore
13 F 23 64 Senior
14 M 19 67 Sophomore
15 F 18 61 Freshman
16 M 24 64 Junior
17 M 25 68 Senior
18 M 23 65 Junior
19 F 21 62 Sophomore
20 F 18 60 Freshman
21 F 24 67 Junior
22 F 25 66 Senior
23 M 18 67 Freshman
24 F 21 61 Junior
25 F 19 64 Freshman
26 M 20 63 Junior
27 M 19 68 Junior
28 F 23 65 Senior
29 F 22 66 Sophomore
30 F 21 63 Sophomore
31 F 18 69 Freshman
32 M 19 72 Sophomore
33 F 23 68 Senior
34 M 22 71 Senior
35 M 21 65 Junior
36 M 19 62 Sophomore
37 F 20 59 Sophomore
38 M 20 63 Junior
39 F 22 70 Senior
40 F 24 58 Junior

Choose and run the appropriate descriptive statistics (graphic and numerical) to describe the sample's age, sex, height, and year in college. For continuous variables you need to report the mean and standard deviation. In addition you need to create a histogram. For categorical variables you need to report the frequencies (e.g. 20% of the sample were female, etc) and create bar charts.

Click here to see answer by ikleyn(52751) About Me 

Question 1117650: ID Sex Ethnicity Age Car Type of info Stresslevel Stressscore

1 F L 23 Blue Consistent Low 3
2 F AA 35 Blue Consistent Low 5
3 F AA 21 Blue Consistent Low 2
4 F C 42 Blue Consistent Low 9
5 F C 37 Blue Consistent Low 7
6 F AA 26 Blue Consistent Low 4
7 M O 24 Green Consistent Low 3
8 M C 19 Green Consistent Low 1
9 M AA 28 Green Consistent Low 4
10 M C 20 Green Consistent Low 2
11 M C 31 Green Consistent Low 5
12 M L 22 Green Consistent Low 3
13 F AA 25 Blue Consistent Medium 7
14 F C 32 Blue Consistent Medium 8
15 F C 27 Blue Consistent Medium 11
16 F C 36 Blue Consistent Medium 9
17 F AA 24 Blue Consistent Medium 13
18 F L 29 Blue Consistent Medium 10
19 M AA 18 Green Consistent Medium 15
20 M C 19 Green Consistent Medium 12
21 M L 21 Green Consistent Medium 10
22 M AA 22 Green Consistent Medium 14
23 M C 39 Green Consistent Medium 17
24 M O 33 Green Consistent Medium 16
25 F AA 23 Blue Consistent High 17
26 F L 25 Blue Consistent High 18
27 F AA 32 Blue Consistent High 21
28 F C 22 Blue Consistent High 19
29 F AA 45 Blue Consistent High 23
30 F C 49 Blue Consistent High 20
31 M C 36 Green Consistent High 25
32 M L 20 Green Consistent High 22
33 M C 19 Green Consistent High 17
34 M C 24 Green Consistent High 24
35 M L 27 Green Consistent High 21
36 M AA 24 Green Consistent High 18
37 F C 23 Blue Inconsistent Low 5
38 F L 35 Blue Inconsistent Low 4
39 F AA 21 Blue Inconsistent Low 3
40 F C 42 Blue Inconsistent Low 8
41 F O 37 Blue Inconsistent Low 9
42 F C 26 Blue Inconsistent Low 3
43 M L 24 Green Inconsistent Low 4
44 M AA 19 Green Inconsistent Low 3
45 M C 28 Green Inconsistent Low 2
46 M AA 20 Green Inconsistent Low 6
47 M C 31 Green Inconsistent Low 4
48 M C 22 Green Inconsistent Low 4
49 F AA 25 Blue Inconsistent Medium 6
50 F L 32 Blue Inconsistent Medium 9
51 F C 27 Blue Inconsistent Medium 13
52 F AA 36 Blue Inconsistent Medium 8
53 F C 24 Blue Inconsistent Medium 12
54 F C 29 Blue Inconsistent Medium 11
55 M C 18 Green Inconsistent Medium 14
56 M AA 19 Green Inconsistent Medium 13
57 M C 21 Green Inconsistent Medium 16
58 M C 22 Green Inconsistent Medium 15
59 M L 39 Green Inconsistent Medium 11
60 M AA 33 Green Inconsistent Medium 15
61 F C 23 Blue Inconsistent High 18
62 F AA 25 Blue Inconsistent High 16
63 F C 32 Blue Inconsistent High 20
64 F L 22 Blue Inconsistent High 21
65 F O 45 Blue Inconsistent High 22
66 F AA 49 Blue Inconsistent High 21
67 M C 36 Green Inconsistent High 25
68 M AA 20 Green Inconsistent High 23
69 M L 19 Green Inconsistent High 19
70 M AA 24 Green Inconsistent High 23
71 M C 27 Green Inconsistent High 22
72 M L 24 Green Inconsistent High 17

Choose and run the appropriate descriptive statistics (graphic and numerical) to describe the sample's age, sex, height, and year in college.
Report the descriptive statistics for the dataset (age, sex and ethnicity).
Then describe 2 of the dependent variables of interest (recall and misinformation effect). Explain what the variables are, how they were measured and why.






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Question 1115806: The accompanying data table lists measured voltage amounts supplied directly to a​ family's home. The power supply company states that it has a target power supply of 120 volts. Using those home voltage​ amounts, test the claim that the mean is 120 volts. Use a 0.10 significance level.
What are the null and alternative​ hypotheses?
A. Upper H 0​: mu not equals 120
Upper H 1​: mu equals 120
B. Upper H 0​: mu equals 120
Upper H 1​: munot equals120
Your answer is correct.C. Upper H 0​: mu equals 120
Upper H 1​: mugreater than120
D. Upper H 0​: mu not equals 120
Upper H 1​: mugreater than120
Calculate the test statistic.
83.682 ​(Round to three decimal places as​ needed.)
What is the range of values for the​ P-value?
Choose the correct answer below.
A. 0.01 less than Upper P dash value less than 0.025
B. 0.05 less than Upper P dash value less than 0.10
C. 0.10 less than Upper P dash value less than 0.20
D. Upper P dash value greater than 0.20
E. 0.025 less than Upper P dash value less than 0.05
F. Upper P dash value less than 0.01
Your answer F is correct.
Identify the critical​ value(s).
_____
​(Round to three decimal places as needed. Use a comma to separate answers as​ needed.)
This is the table of critical values to help solve the problem
t distribution: Critical t values
Area in One Tail
0.005 0.01 0.025 0.05 0.10
Degrees of Freedom Area in Two Tails
0.01 0.02 0.05 0.10 0.20
1 63.657 31.821 12.706 6.314 3.078
2 9.925 6.965 4.303 2.920 1.886
3 5.841 4.541 3.182 2.353 1.638
4 4.604 3.747 2.776 2.132 1.533
5 4.032 3.365 2.571 2.015 1.476
6 3.707 3.143 2.447 1.943 1.440
7 3.499 2.998 2.365 1.895 1.415
8 3.355 2.896 2.306 1.860 1.397
9 3.250 2.821 2.262 1.833 1.383
10 3.169 2.764 2.228 1.812 1.372
11 3.106 2.718 2.201 1.796 1.363
12 3.055 2.681 2.179 1.782 1.356
13 3.012 2.650 2.160 1.771 1.350
14 2.977 2.624 2.145 1.761 1.345
15 2.947 2.602 2.131 1.753 1.341
16 2.921 2.583 2.120 1.746 1.337
17 2.898 2.567 2.110 1.740 1.333
18 2.878 2.552 2.101 1.734 1.330
19 2.861 2.539 2.093 1.729 1.328
20 2.845 2.528 2.086 1.725 1.325
21 2.831 2.518 2.080 1.721 1.323
22 2.819 2.508 2.074 1.717 1.321
23 2.807 2.500 2.069 1.714 1.319
24 2.797 2.492 2.064 1.711 1.318
25 2.787 2.485 2.060 1.708 1.316
26 2.779 2.479 2.056 1.706 1.315
27 2.771 2.473 2.052 1.703 1.314
28 2.763 2.467 2.048 1.701 1.313
29 2.756 2.462 2.045 1.699 1.311
30 2.750 2.457 2.042 1.697 1.310
31 2.744 2.453 2.040 1.696 1.309
32 2.738 2.449 2.037 1.694 1.309
33 2.733 2.445 2.035 1.692 1.308
34 2.728 2.441 2.032 1.691 1.307
35 2.724 2.438 2.030 1.690 1.306
36 2.719 2.434 2.028 1.688 1.306
37 2.715 2.431 2.026 1.687 1.305
38 2.712 2.429 2.024 1.686 1.304
39 2.708 2.426 2.023 1.685 1.304
40 2.704 2.423 2.021 1.684 1.303
45 2.690 2.412 2.014 1.679 1.301
50 2.678 2.403 2.009 1.676 1.299
60 2.660 2.390 2.000 1.671 1.296
70 2.648 2.381 1.994 1.667 1.294
80 2.639 2.374 1.990 1.664 1.292
90 2.632 2.368 1.987 1.662 1.291
100 2.626 2.364 1.984 1.660 1.290
200 2.601 2.345 1.972 1.653 1.286
300 2.592 2.339 1.968 1.650 1.284
400 2.588 2.336 1.966 1.649 1.284
500 2.586 2.334 1.965 1.648 1.283
1000 2.581 2.330 1.962 1.646 1.282
2000 2.578 2.328 1.961 1.646 1.282
Large 2.576 2.326 1.960 1.645 1.282
Degrees of Freedom Area in One Tail
0.005 0.01 0.03 0.05 0.10
Area in Two Tails
0.01 0.02 0.05 0.10 0.20

Click here to see answer by ikleyn(52751) About Me 

Question 1115495: PLEASE HELP THIS IS A HUGE TEST QUESTION AND I'M LOST!!
A recent broadcast of a television show had a 15 share, meaning that among 5000 monitored households with TV sets in use, 15% of them were tuned to this program. Use a 0.01 significance level to test the claim of an advertiser that among the households with TV sets in use, less than 20​% were tuned into the program. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method. Use the normal distribution as an approximation of the binomial distribution.
Identify the null and alternative hypotheses. Choose the correct answer below.
A. H0: p equals 0.20
H1: p not equals 0.20
B. H0: p equals 0.80
H1: p less than 0.80
C. H0: p equals 0.80
H1: p not equals 0.80
D. H0: p equals 0.80
H1: p greater than 0.80
E. H0: p equals 0.20
H1: p less than 0.20
F. H0: p equals 0.20
H1: p greater than 0.20
The test statistic is zequals___. ​(Round to two decimal places as needed.)
The P-value is___.(Round to four decimal places as needed.)
Identify the conclusion about the null hypothesis and the final conclusion that addresses the original claim.
Reject? or Fail to reject? H0. There is not? or is sufficient evidence to support the claim that less than 20% of the TV sets in use were tuned to the program.

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Question 1118644: there are 100 students at a sports award dinner where soccer players and volleyball players are being honored. given any two players at least one is a soccer player. if there is at least one volleyball player, how many soccer players are there
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Question 1118655: Hi
pears are sold in groups of 3 for $2. What is the maximum number of pears one can buy for $25.50.
my answer is 38. The textbook solution is 36.who is correct?
Thanks

Click here to see answer by ikleyn(52751) About Me 
Question 1118655: Hi
pears are sold in groups of 3 for $2. What is the maximum number of pears one can buy for $25.50.
my answer is 38. The textbook solution is 36.who is correct?
Thanks

Click here to see answer by josgarithmetic(39613) About Me 

Question 1118668: Hi
Town A and B are 220km apart. A lorry driver and a taxi driver started off at the same time from town A. The taxi driver reached B 1 and 2/3 hours ahead of the lorry driver who still had 100km to go.
what was the speed of the lorry driver
what was the speed of the taxi driver.
Thanks

Click here to see answer by josgarithmetic(39613) About Me 
Question 1118668: Hi
Town A and B are 220km apart. A lorry driver and a taxi driver started off at the same time from town A. The taxi driver reached B 1 and 2/3 hours ahead of the lorry driver who still had 100km to go.
what was the speed of the lorry driver
what was the speed of the taxi driver.
Thanks

Click here to see answer by greenestamps(13195) About Me 

Question 1118685: How long would it take to go 30 miles, whilst going 70 miles per hour?
30miles/70miles= .4287 hrs
It would take approximately 42 minutes and 86 seconds. Based on input 30 miles traveling at a constant speed of 70 mph.

Click here to see answer by josgarithmetic(39613) About Me 
Question 1118685: How long would it take to go 30 miles, whilst going 70 miles per hour?
30miles/70miles= .4287 hrs
It would take approximately 42 minutes and 86 seconds. Based on input 30 miles traveling at a constant speed of 70 mph.

Click here to see answer by sparsh32(1) About Me 
Question 1118685: How long would it take to go 30 miles, whilst going 70 miles per hour?
30miles/70miles= .4287 hrs
It would take approximately 42 minutes and 86 seconds. Based on input 30 miles traveling at a constant speed of 70 mph.

Click here to see answer by Alan3354(69443) About Me 

Question 1118673: A certain brand of apple juice is supposed to have 64 oz. of juice. The juice varies from bottle to bottle though with a standard deviation of .06. The average amount of juice should be 64 oz though. After randomly selecting a bottle off the line the manager says the content is about 1.5 standard deviations below average. Approximately how much juice is in the bottle?
As part of her routine, she now samples 22 bottles of juice. The results are as followed:
63.97, 63.92, 63.93, 63.87, 63.94, 63.98, 64.03, 63.9, 63.95, 64.05, 64.02, 63.9, 63.95, 64.01, 64.01, 63.91, 63.9, 63.92, 64, 63.93, 64.01, 63.97
The sampling distribution of the sample must be normal. Why can she be confident that the normality requirement has been met here?
The sample mean of the sample statistics above is 63.958. What is the s, and n of the sample statistics above?
What is the mu and sigma of the population parameters above?

Click here to see answer by stanbon(75887) About Me 

Question 1118763: A man deposited P2,000 in a bank at a rate at 15% per annum from March 21, 1996 to October 25, 1997. Find the exact simple interest.?
Click here to see answer by Theo(13342) About Me 

Question 1118762: If P1,000 accumulates to P1,500 when invested at a simple interest for three years, what is the annual rate of interest?
Click here to see answer by Theo(13342) About Me 

Question 1118759: Determine the effective rate for each of the following:
a. 19% compounded semi-annually
b. 19% compounded quarterly
c. 19% compounded bi- monthly
d. 19% compounded monthly
e. 19% compounded annually

Click here to see answer by Theo(13342) About Me 

Question 1118761: What amount is accumulated after 3 years of P6,500 invested at a rate of 12% per year compounded semi annually.
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690