Questions on Algebra: Decimal numbers, power of 10, rounding answered by real tutors!

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Question 1210354: The monthly salary of Mr. Johnson was ₦320,000 for each of the first three years. He then got an annual increment of ₦40,000 per month for each of the following successive 12 years. His salary remained stationary till retirement when he found that his average monthly salary during the service period was ₦698,000.

Required:
(a) Prove that there is an Arithmetic Progression (AP) in the first 3 years of service.
(b) Compute the total salary in the first 3 years of service.
(c) Calculate the monthly and annual salary for the fourth year of service.
(d) Determine the monthly and annual salary for the ninth year of service.
(e) Find the total salary up to the 12th year of service.
(f) Obtain the total salary up to the 15th year of service.
(g) Find the monthly salary at the end of the 15th year of service.
(h) Compute the period of service.
Click here to see answer by ikleyn(53028)

Question 1210284: The sum of three numbers in a geometric progression GP is 13 and there products is -64. Find the numbers.
Click here to see answer by greenestamps(13225)

Question 1210284: The sum of three numbers in a geometric progression GP is 13 and there products is -64. Find the numbers.
Click here to see answer by ikleyn(53028)

Question 1210268: A sum of money amounts to ₦5,280 in 4 years at a certain rate of simple interest. If the same amount is invested at a 2% higher interest rate, it amounts to ₦5,520 in the same time.
Find:
- The principal
- The original rate of interest
Click here to see answer by ikleyn(53028)

Question 1210236: 2^2x-3 — 2^2x-2 — 1 = 0
Click here to see answer by Edwin McCravy(20075)

Question 1210236: 2^2x-3 — 2^2x-2 — 1 = 0
Click here to see answer by ikleyn(53028)

Question 1210236: 2^2x-3 — 2^2x-2 — 1 = 0
Click here to see answer by mccravyedwin(413)

Question 1210236: 2^2x-3 — 2^2x-2 — 1 = 0
Click here to see answer by greenestamps(13225)

Question 1210237: In a basket u have balls numbered 1-47. Odd numbers are 15 even numbers are 22
What's the probability of picking 5 even numbers at random and 5 odd numbers
Click here to see answer by greenestamps(13225)

Question 1210225: Consider the sequence
1, 3, 4, 9, 10, 12, 13, ...
which consists of every positive integer that can be expressed as a sum of distinct powers of 3.
What is the first term that is greater than 20?
Click here to see answer by greenestamps(13225)

Question 1210226: Consider the sequence
1, 5, 6, 25, 26, 30, 31, ...
which consists of every positive integer that can be expressed as a sum of distinct powers of 5.
What is the first term that is greater than 50?
Click here to see answer by greenestamps(13225)

Question 1210180: Find the three digit number such that the sum of its digits is equal to 12, the product of its digit is equal to 48 and the number is divisible by 6.

Click here to see answer by CPhill(1987)

Question 1209801: Compute
1.11111 + 0.11111 + 0.01111 + 0.00111 + 0.00011 + 0.00001
Click here to see answer by Edwin McCravy(20075)

Question 1209801: Compute
1.11111 + 0.11111 + 0.01111 + 0.00111 + 0.00011 + 0.00001
Click here to see answer by CPhill(1987)

Question 1209410: Let S be the set of all real numbers of the form
(a_1)/(3) + (a_2)/(3^2) + (a_3)/(3^3) + ...
where (a_i) is equal to either 0, 1, or 2 for each i.
(a) Is the number 1/4 in the set S?
(b) Is the number 1/7 in the set S?
Click here to see answer by ikleyn(53028)

Question 1209409: Estimate 247^9 without using a calculator. I asked my teacher and she said a hint was 200 < 247 < 300. I'm still really stuck. Please help?
Click here to see answer by math_tutor2020(3824)

Question 1209369: A sum of money doubles itself in 10 years. The number of years it would triple itself is?
Click here to see answer by greenestamps(13225)

Question 1209352: Please help me solve this equation:
Click here to see answer by ikleyn(53028)

Question 1209349: Find the number of bases n \ge 2$ such that 100_n + 1_n is prime.
Click here to see answer by ikleyn(53028)

Question 1209349: Find the number of bases n \ge 2$ such that 100_n + 1_n is prime.
Click here to see answer by math_tutor2020(3824)

Question 1209351: A bank offers 5% compound interest calculated on half yearly basi. A customer deposit 1600 each on 1st January and 1st July of a year. Find the interest it would have gained at the end of the year

Click here to see answer by ikleyn(53028)

Question 1209277: A man makes a deposit of $50,000 into an account that pays an annual interest of 5%. How much money will be in the account after 10 years if:
I. The interest is compounded continuously
II. How long will it take for the money to triple itself if interest is compounded continuously?
Click here to see answer by math_tutor2020(3824)

Question 1209273: Please who could help solve this simple addition and multiplication
Explain 2(1-5(3+5))
Click here to see answer by josgarithmetic(39638)

Question 1208614: brad is currently $18 overdrawn in his account his knows that he needs to pay a $61.61 bill from his account tomorrow How much does he need to add to his account so he can pay his bill tomorrow?
Click here to see answer by timofer(113)

Question 1208275: Lee buys two buckets of paint, each containing 3.25 gallons of paint.
He uses 4.75 gallons of paint. How many gallons of paint were not
used?
Click here to see answer by ikleyn(53028)

Question 1208250: The total distance of a family road trip is 668.25 miles. After traveling 50.75 miles, a kid asked how much longer it would take to get there. If the car travels 65 miles every hour, how many hours will it take to finish the trip, if they do not stop?

Click here to see answer by josgarithmetic(39638)

Question 1208054: When expanded as a decimal, the fraction has a repetend (the repeating part of the decimal) that begins right after the decimal point, and is 976 digits long. If the last three digits of the repetend are ABC, compute the digits A, B, and C.
A=
B=
C=

Click here to see answer by Edwin McCravy(20075)

Question 1208055: Compute Last Three Digits of Repetend for
Click here to see answer by ikleyn(53028)

Question 1207782: 1. Suppose that you have entered an 87-mile biathlon that consists of a run and a bicycle race. During Explaining Concepts:Discussion and Writing your run, your average speed is 6 miles per hour, and during your bicycle race, your average speed is 25 miles per hour. You finish the race in 5 hours. What is the distance of the run? What is the distance of the bicycle race?

2. In the 1984 Olympics, C.Lewis of the United States won the gold medal in the 100-meter race with a time of 9.99 seconds. In the 1896 Olympics,Thomas Burke,also of the United States, won the gold medal in the 100-meter race in 12.0 seconds. If they ran in the same race repeating their respective times, by how many meters would Lewis beat Burke?

Click here to see answer by MathTherapy(10564)

Question 1207842: Find an equation for the line that is described. Write the answer in the two forms y = mx + b and Ax + By + C = 0.
A. Is parallel to 2x - 5y = 10 and passes through ( 1, 2)

B. Is parallel to 4x + 5y = 20 and passes through (0, 0)
Click here to see answer by greenestamps(13225)

Question 1207837: Brittany needed new tires for her truck. She went to the auto shop and bought 4 tires on sale for $85.95 each. The salesman told her that she saved a total of $96.16. If Brittany saved the same amount on each tire, what was the original price of each tire?
Click here to see answer by ikleyn(53028)

Question 1207835: Show that for all real numbers a and b, we have
|a| - |b| <= |a - b|

Hint:

Beginning with the identity a = (a - b) + b, take the absolute value of each side and then use the triangle inequality.
Click here to see answer by ikleyn(53028)

Question 1207761: A sugar molecule has twice as many atoms of hydrogen as it does oxygen and one more atom of carbon than oxygen. If a sugar molecule has a total of 45 atoms, how many are oxygen? How many are hydrogen?

Let me see.

Atoms = 2x

Hydrogen = x

2x + x = 45

Is this equation correct?
Click here to see answer by josgarithmetic(39638)

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