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Makana invested $900 in a simple interest account that had an interest rate that was 1% more than that of her friend Marlys. If Marilys earned $34 after one year from an investment of $850, how much did Makana earn in one year?

Sagot :

We would apply the formula for calculating simple interest whch is expressed as

I = PRT

where

I is the interest

R is the interest rate

P is the principal or amount invested

T is the time in years

From the information given, Marilys earned $34 after one year from an investment of $850. We would find the interest rate, R. Here,

I = 34

P = 850

T = 1

By substituting these values into the formula, we have

34 = 850 x R x 1 = 850R

Dividing both sides of the equation by 850, we have

34/850 = 850R/850

R = 0.04

We would multiply by 100

R = 100 x 0.04 = 4%

The interest rate for Makana is 1% more than that of her friend Marlys. This means that Makana's interest rate is 4 + 1 = 5%

P = 900

T = 1

R = 5/100 = 0.05

By substituting these values, we have

I = 900 x 0.05 x 1

I = 45

Makana earned $45 in one year