10 Sandra deposited $2,500 into a simple interest account. She earned $75 in interest after 1 year. Ron deposited $8.000 into an account that has the same interest rate as Sandra's account. How much money did Ron earn in interest after 1 year?

Respuesta :

We have the next formula for simple interest

[tex]A=P(1+rt)[/tex]

where

A= amount

P= the principal

r=rate

t=time

for Sandra

A=2575

P=2500

t=1

[tex]2575=2500(1+r)[/tex]

we need to calculate the rate so we need to clear r

[tex]r=\frac{2575-2500}{2500}=\frac{75}{2500}=0.03[/tex]

the rate is 3%

for Ron

[tex]\begin{gathered} A=8000(1+0.03)=8240 \\ \end{gathered}[/tex]

Ron earn $240