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galben [10]
2 years ago
15

You are considering buying one of two brands of barbecue grills. Brand F costs $650 and will last for about fifteen years. Brand

G costs $200 and will last for about five years, so you will need to buy three of them over the years to equal one Brand F grill. In either case, you plan to pay for the grill with your credit card, which has an interest rate of 13.01%, compounded monthly. You will pay off a Brand F grill in five years of monthly payments, and you will pay off a Brand G grill in three years of monthly payments. Assuming that you have no other purchases on your credit card, over a fifteen-year period, which kind of grill will be cheaper, and how much cheaper will it be? (Round all dollar values to the nearest cent.) a. Brand G will end up costing $159.48 less than Brand F. b. Brand G will end up costing $50.00 less than Brand F. c. Brand F will end up costing $134.28 less than Brand G. d. Brand F will end up costing $91.08 less than Brand G.
Mathematics
2 answers:
3241004551 [841]2 years ago
5 0
a. Brand G will end up costing $159.48 less than Brand F.
alex41 [277]2 years ago
3 0

Answer:

a. Brand G will end up costing $159.48 less than Brand F.

Step-by-step explanation:

If you calculate the compound interest of paying the $650 barbecue to five years the cos would be around 1050 after paying the compound interests of 13.01% monthly, and when you calculate the cost of paying off a $200 over 3 years the cost of the three would be $898, so it would be cheaper to buy the three $200 barbecues over the spam of 15 years, that would be the answer.

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hodyreva [135]

Answer:

Each birthday card costs $2.2 ⇒ answer c

Step-by-step explanation:

* Lets explain how to solve the problem

- Package A contains 3 birthday cards and 2 thank-you notes

- It costs $9.60

- Package B contains 8 birthday cards and 6 thank-you notes

- It costs $26.60

- x represents the cost of birthday card and y represents the cost of

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* Lets change these information to two equations

∵ x represents the cost of each birthday cards

∵ y represents the cost of each thank-you notes

∵ Bag A contains 3 birthday cards and 2 thank-you notes

∵ Bag A costs $9.60

∴ 3x + 2y = 9.60 ⇒ (1)

∵ Bag B contains 8 birthday cards and 6 thank-you notes

∵ Bag B costs $26.60

∴ 8x + 6y = 26.60 ⇒ (2)

* Lets solve this system of equations to find x and y

- Multiply equation (1) by -3 to eliminate y

∵ -3(3x) + -3(2y) = -3(9.60)

∴ -9x - 6y = -28.8 ⇒ (3)

- Add equations (2) and (3)

∴ -x = -2.2

- Multiply both sides by -1

∴ x = 2.2

∵ x represents the cost of each birthday cards

∴ The cost of each birthday card is $2.2

* Each birthday card costs $2.2

6 0
2 years ago
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Two entertainment venues are planning to expand the size of their audiences and each has decided on the rate at which it can inc
NNADVOKAT [17]
Let us see... ideally we would like to have all equations with the same exponent or the same base so that we can compare the rates. Since the unknown is in the exponent, we have to work with them. In general, x^(y/z)= \sqrt[z]{x^y}.
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4 0
2 years ago
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Sonja [21]

Answer:

2.865

Step-by-step explanation:

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6 0
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A cafeteria used 63.50 kilograms of beans to make 5 batches of chili. How many kilograms of beans were used in each batch of chi
Vilka [71]
The word problem gives you the information you need to solve it.

5 batches of chili were made using 63.5 kg of beans total. You can assume the same amount of beans were used in each of the 5 batches, so ...

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Check step:

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6 0
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