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Juli2301 [7.4K]
3 years ago
13

Mike and Kate plan to save money for their wedding over a 20 month period. They will need to save $8,000 to help pay for the wed

ding. They set aside the same amount each month. After a year they saved $4,000. Mike and Kate know they must adjust their plan in order to meet their goal, so they came up with the following options:
Option A: Stay with saving the same amount they've been saving each month but postpone the wedding 2 months.

Option B: Increase the amount of money they save each month by $80 from what they've been saving. Which of the following is a true statement?

a. Only option A will allow them to meet their goal.
b. Only option B will allow them to meet their goal.
c. Both options A and B will allow them to meet their goal.
d. Neither option A nor option B will allow them to meet their goal.
Mathematics
2 answers:
Mumz [18]3 years ago
8 0
The answer i think it's <span>a. Only option A will allow them to meet their goal.</span>
Sophie [7]3 years ago
5 0

Answer: D (Neither option A nor option B will allow them to meet their goal.

Hope this helps!

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at the beginning of year 4, only 3 years have elapsed, the 4th year hasn't started yet, since it's at the beginning, so at the beginning of year 4 we can say only 4-1 years have elapsed.

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A=700\left( 1 + \frac{0.05}{1} \right)^{1\cdot 3}\implies A = 700(1+0.05)^3\implies A(4)=700(1+0.05)^{4-1} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill A(n)=700(1+0.05)^{n-1}~\hfill

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3 years ago
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