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Find principal amount at 5.6% for 4 years totaling 145.60

User BigBoy
by
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1 Answer

3 votes

Answer:

$118.95

Explanation:

Assuming simple increase:

Use the equation for amount for simple interest

A = P(1 + rt)

A is the total at the end of the time period.

r is the rate of interest in decimal form.

t is the time period length.

P is the principal amount.

Substitute values we know into the equation

5.6% in decimal form is 0.056

A = P(1 + rt)

145.60 = P(1 + (0.056)(4))

Simplify

145.60 = P(1.224)

Isolate P

P = 145.60/1.224

P ≈ 118.95 (Not equal because rounded to 2 decimal places)

The principal amount is $118.95.

User Dvdsmpsn
by
7.8k points