How much would you need to deposit in an account now in order to have $5000 in the account in 10 years? Assume the account earns 4% simple interest. Round your answer to the nearest cent.

Respuesta :

Answer:

$12500

Step-by-step explanation:

use si formula

SI=ptr/100

si=5000

t=10

r=4

Simple interest can be defined as the interest that accumulates on investment, savings, or a loan.

The amount you need to deposit in an account now in order to have $5000 to the nearest cent is $3,571.

From the question, we can see that we are to find the amount you need to deposit, this is also referred to as the Principal.

The formula to find the principal for simple interest is given as:

P = A / (1 + rt)

Where:

A = Final amount in the account = $5000

R = Interest rate = 4%

t = Time in years = 10 years

Calculation:

First, converting R percent to r a decimal

r = R/100 = 4%/100 = 0.04 per year.

Solving our equation:

P = 5000 / ( 1 + (0.04 × 10)) = 3571.4285714286

P = $3,571.43

Approximately to the nearest cent is $3,571.

Therefore, the amount you need to deposit in an account now in order to have $5000 to the nearest cent is $3,571.

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