Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)
Question 441209: Bayside insurance offers two health plans. Under plan A, Giselle would have to pay the first $160 of her medical bills, plus 25% of the rest. Under plan B, Giselle would pay the first $240, but only 20% of the rest, for what amount of medial bills will plan B save Giselle money? Assume she has over $240 in bills
Click here to see answer by ikleyn(53419)   |
Question 436704: A plane flies 1500 miles against the wind in 3 hours and 45 minutes. The return trip with the wind takes 3 hours. Assume that the wind speed stays constant. Find the speed of the wind and the speed of the airplane with no wind.
Click here to see answer by greenestamps(13258)  |
Question 436704: A plane flies 1500 miles against the wind in 3 hours and 45 minutes. The return trip with the wind takes 3 hours. Assume that the wind speed stays constant. Find the speed of the wind and the speed of the airplane with no wind.
Click here to see answer by ikleyn(53419) |
Question 729652: Can you help me figure out the proper equations for the problems listed?
The perimeter of a rectangular piece of poster board is 96 in. The length is 8 in. greater than the width. Find the width and the length.
21. Joseph allocates $800 to hotel stays. This represents 36% of his expense budget. Find his expense budget.
22. A 19-ft board is cut into two pieces. One piece is 3 ft longer than the other. How long are the pieces?
23. Money is invested in a savings account at 5% simple interest. After 1 year, there is $262.50 in the account. How much was originally invested?
24. When 18 is subtracted from four times a certain number, the result is the original number. What is the number?
25. The second angle of a triangle is three times as large as the first. The third angle is 20 degrees less than the sum of the other two angles. Find the measure of the first angle.
Click here to see answer by mananth(16949)  |
Question 729652: Can you help me figure out the proper equations for the problems listed?
The perimeter of a rectangular piece of poster board is 96 in. The length is 8 in. greater than the width. Find the width and the length.
21. Joseph allocates $800 to hotel stays. This represents 36% of his expense budget. Find his expense budget.
22. A 19-ft board is cut into two pieces. One piece is 3 ft longer than the other. How long are the pieces?
23. Money is invested in a savings account at 5% simple interest. After 1 year, there is $262.50 in the account. How much was originally invested?
24. When 18 is subtracted from four times a certain number, the result is the original number. What is the number?
25. The second angle of a triangle is three times as large as the first. The third angle is 20 degrees less than the sum of the other two angles. Find the measure of the first angle.
Click here to see answer by josgarithmetic(39701) |
Question 729652: Can you help me figure out the proper equations for the problems listed?
The perimeter of a rectangular piece of poster board is 96 in. The length is 8 in. greater than the width. Find the width and the length.
21. Joseph allocates $800 to hotel stays. This represents 36% of his expense budget. Find his expense budget.
22. A 19-ft board is cut into two pieces. One piece is 3 ft longer than the other. How long are the pieces?
23. Money is invested in a savings account at 5% simple interest. After 1 year, there is $262.50 in the account. How much was originally invested?
24. When 18 is subtracted from four times a certain number, the result is the original number. What is the number?
25. The second angle of a triangle is three times as large as the first. The third angle is 20 degrees less than the sum of the other two angles. Find the measure of the first angle.
Click here to see answer by ikleyn(53419) |
Question 729564: I am trying to formulate an LP model for this problem and I am very lost.
Kiriakis Electronics produces three products.
Each product must be processed on each of three types of machines.
When a machine is in use, it must be operated by a worker.
The time (in hours) required to process each product on each machine and the profit associated with each product are shown in Table 59.
At present, five type 1 machines, three type 2 machines, and four type 3 machines are available.
The company has 10 workers available and must determine how many workers to assign to each machine.
The plant is open 40 hours per week, and each worker works 35 hours per week.
Formulate an LP that will enable Kiriakis to assign workers to machines in a
way that maximizes weekly profits.
Note: A worker need not spend the entire work week operating a single machine.
Click here to see answer by ikleyn(53419) |
Question 1187361: The human body contains approx. 30 trillion red blood cells. If these cells were placed tightly together, they would fit into a cube approx. 5 in. on each edge.
1) Determine outside surface of cube in sq. yds.
2)If the outside surface of cube was divided into 30 trillion pieces, determine outside surface in sq. yds.
Unsure how to solve.
Click here to see answer by ikleyn(53419) |
Question 731964: the tickets in a raffle are numbered 1, 2, 3, and so on. The Price of a ticket is the number of cents
equal to the number of the ticket. If the raffled article cost $100, what is the least number of tickets
that must be sold so that those conducting the raffle will not lose money?
Click here to see answer by ikleyn(53419) |
Question 1158791: A spacecraft can attain a stable orbit 300 kilometers above Earth if it reaches a velocity of 7.7 kilometers per second. The formula for a rocket's maximum velocity v in kilometers per second is v=-0.0098t+c ln R, where t is the firing time in seconds, c is the velocity of the exhaust in kilometers per second, and R is the ratio of the mass of the rocket filled with fuel to the mass of the rocket without fuel. Find the velocity of a spacecraft whose booster rocket has a mass ratio of 24, an exhaust velocity of 2.8 km/s, and a firing time of 20 s. Can the spacecraft achieve a stable orbit 300 km above Earth?
Click here to see answer by ikleyn(53419) |
Question 741761: How much money, invested at an interest rate of r% per year compounded continuously, will amount to A dollars after t years? (Round your answer to the nearest cent.)
A = 300,000, r = 3.2, t = 14
I've gotten $191671.4 as the answer but it's counted wrong
Click here to see answer by MathTherapy(10586)  |
Question 741761: How much money, invested at an interest rate of r% per year compounded continuously, will amount to A dollars after t years? (Round your answer to the nearest cent.)
A = 300,000, r = 3.2, t = 14
I've gotten $191671.4 as the answer but it's counted wrong
Click here to see answer by ikleyn(53419) |
Question 663902: At the 2006 Winter Olympics in Italy, the top medal winner was Germany, which won a total of 29 medals. Germany won 1 more silver medal than gold and 5 more gold medals than bronze. Find the number of each type of medal won. How do I solve this?
Click here to see answer by ikleyn(53419) |
Question 1210415: A neon bulb has the following description:
Current: 1.25 milliamperes.
0.1 watts.
Determine applied voltage.
Check my calculations, please.
Using the following data:
P = power (watts).
I = current (amperes).
E = voltage (volts).
Converting 1.25 milliamperes to amperes (amps.) 1.25 * 1000 = 1250.
P / I
0.1 / 1250 = 0.00008 volts.
Click here to see answer by ikleyn(53419) |
Question 1167599: Find an explicit formula in terms of n for a sequence
b0, b1, b2,
that satisfies
bk = 2b_k − 1 − 10b_k − 2 for each integer k ≥ 2
with initial conditions
b0 = 5
and
b1 = 5.
(Your answer will involve complex numbers.)
bn = for every integer n ≥ 0
Discrete math homework question
Click here to see answer by CPhill(2138)  |
Question 1167598: Let
b0, b1, b2, be the sequence defined by the explicit formula
bn = C · 5^n + D(−4)^n for each integer n ≥ 0,
where C and D are real numbers.
(a)
Find C and D so that
b0 = 0
and
b1 = −9.
b) Find C and D so that
b0 = 4
and
b1 = 11.
c)What is
b2 in this case?
Click here to see answer by Resolver123(6) |
Question 1166337: A company has $14,830 available per month for advertising. Newspaper ads cost $190 each and can't run more than 24 times per month. Radio ads cost $590 each and can't run more than 32 times per month at this price.
Each newspaper ad reaches 5700 potential customers, and each radio ad reaches 6700 potential customers. The company wants to maximize the number of ad exposures to potential customers.
Use x for number of Newspaper advertisements and y for number of Radio advertisements.
Click here to see answer by ikleyn(53419) |
Question 1167859: Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find P81, the 81-percentile. This is the temperature reading separating the bottom 81% from the top 19%.
p81=?
Click here to see answer by ikleyn(53419) |
Question 1210365: If the explorer Columbus could have invested $1 at 4% compound interest at the tine of discovery of the new world (1492) he would have x amount. Determine amount.
Statement does not indicate how interest is compounded.
Year of book information was in - 1965.
4% = .04
1965 - 1492 = 473 years.
Not sure how to solve.
Click here to see answer by ikleyn(53419) |
Question 1167858: Many electronics follow a failure rate described by an exponential probability density function (PDF). Solar panels are advertised to last 20 years or longer, but panels made in China are failing at a higher rate. The time-to-failure of this device is usually exponentially distributed with mean 10 years.
What is the probability of failure in the first 9 years?
Click here to see answer by CPhill(2138) |
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