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SSSSS [86.1K]
2 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]2 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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Answer: Elaine should take Dealership's financing option.

Explanation:

Option A

Car Sale Price = $46 585

Down Payment = $15000

Interest rate = 0%

Period = 66 months

Value of Dealer Financing = $46585 - $15000 = <u>$31585</u>

Option 2.

Elaine takes the loan to pay for the car

R = 3.24%

Car price = Loan Amount = $46585

Period (n) = 72 months

Value of Option 2 Loan Financing = Loan Amount (1 + r)^n

Value of Option 2 Loan Financing = $46585(1 + 0.0324^/12)^72

Value of Option 2 Loan Financing =  $46585(1 + 0.0027)^72

Value of Option 2 Loan Financing = 56566.482756

Value of Option 2 Loan Financing = $56566.48

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Overall Value of option 2 = $56566.48 - $10 000 = <u>$46566.48</u>

Let us assume Elaine Pays the Down Payment of $15000 AND take A Loan to finance the rest of the Car amount

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Loan Amount = $31585

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Option 2 Loan Financing = $31585(1 + 0.0324^/12)^72 + $15000

Option 2 Loan Financing = $31585(1+0.0027)^72 + $15000

Option 2 Loan Financing = 38352.524586 + $15000

Option 2 Loan Financing = $53352.524586

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Value of Option 2 with down payment = $53352.524586 - 10 000

Value of Option 2 with down payment = $43352.524586

Value of Option 2 with down payment =<u> $43352.53</u>

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