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andreev551 [17]
3 years ago
5

Jordan has $275.00 in his bank account the bank will pay jordan 4% interest per year on the value of hois account if jordan does

n't add to his account or withdraw anhy money how much will he have in his account after one year
Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
8 0

Answer:

\$286.00

Step-by-step explanation:

we know that

The simple interest formula is equal to

A=P(1+rt)

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=1\ years\\ P=\$275.00\\r=4\%=4/100=0.04

substitute in the formula above

A=275.00(1+0.04*1)

A=275.00(1.04)

A=\$286.00

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Answer:

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Step-by-step explanation:

a) $28,482.19 . . . . future value of all deposits

__

b) The initial deposit was $3000, and there were 144 deposits of $100 each, for a total of ...

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__

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d) 60 monthly withdrawals were made in the amount $558.62, for a total of ...

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_____

<em>Additional information about (a) and (c)</em>

(a) The future value of the initial deposit is the deposit multiplied by the interest multiplier over the period.

  A = P(1 +r/n)^(nt) = 3000(1 +.066/12)^(12·12) = 3000·1.0055^144 ≈ 6609.065

The future value of $100 deposits each month is the sum of the series of 144 terms with common ratio 1.0055 and initial value 100.

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So, the total future value is ...

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__

(c) The withdrawal amount can be found using the same formula used for loan payments:

  A = P(r/n)/(1 -(1 +r/n)^(-nt)) = $28482.19(.0055)/(1 -1.0055^-60) ≈ $558.62

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