Question

Vince borrows $900 to buy a couch. He will pay off the loan by paying 1.5% simple interest for 2 years. Vince incorrectly calculates the amount he will pay back using the expression below. 900 + 900(1.015 • 2) What is the correct amount Vince will pay back altogether? Explain the error in Vince’s expression.

Answer 1

Answer:

$972

Step-by-step explanation:

To calculate the amount that Vince should pay back, we can use the formula of 

A = P + PRT 

where A is amount (unknown), P is principal ($900), R is rate of interest (1.5%).

Which in this case, Vince did follow the correct formula, but what he did wrong, it that he incorrectly changed the rate to a decimal. Instead, 1.5% should be 0.015 in decimal form.

So, the correct formula should be

A = 900 + 900(0.015x2)

A = 900 + 27

A = 927

So, the correct amount Vince should pay is $927.

Answer 2

To calculate the amount that Vince should pay back, we can use the formula of 
A = P + PRT 
where A is amount (unknown), P is principal ($900), R is rate of interest (1.5%).

Which in this case, Vince did follow the correct formula, but what he did wrong, it that he incorrectly changed the rate to a decimal. Instead, 1.5% should be 0.015 in decimal form.

So, the correct formula should be
A = 900 + 900(0.015x2)
A = 900 + 27
A = 927

So, the correct amount Vince should pay is $927.