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SSSSS [86.1K]
3 years ago
8

Beverly Hills started a paper route on January 1. Every three months, she deposits $550 in her bank account, which earns 8 perce

nt annually but is compounded quarterly Four years later, she used the entire balance in her bank account to invest in an investment at 7 percent annually. How much will she have after three more years?
Business
1 answer:
aleksandrvk [35]3 years ago
6 0

Answer:

Total amount= $12,558.68

Explanation:

Giving the following information:

Every three months, she deposits $550 in her bank account, which earns 8 percent annually but is compounded quarterly Four years later, she used the entire balance in her bank account to invest in an investment at 7 percent annually.

First, we need to calculate the total accumulated money after four years with the following formula.

FV= {A*[(1+i)^n-1]}/i

A= deposit= 550

N= 16

i=0.08/4= 0.02

FV= {550*[(1.02^16)-1]}/0.02= 10,251.61

Now, we calculate the second investment:

FV= PV*(1+i)^n= 10,251.62*(1.07^3)= $12,558.68

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Hi, what we need to do here is to find the future value of all six payments, beginning when the child turns 12, which will end when he turns 17. One year later (when the child turns 18) he will receive $25,000 per year, for the next 4 years. This is the equation that we need to use (and solve for "r").

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Best of luck.

Download xlsx
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