Samuel invested money in his bank account. he had a principal, p, of $100 in his account at the beginning of the period, which i
ncreased at a rate, r, of 0.15 per year. at the end of the period, he had interest, i, of $105 in his account. use the simple interest formula i = prt, to solve for the time, t, in months that it took to earn this amount. (1 point) 7 months 58 months 84 months 700 months
Simple interest is based on the principal amount of a loan or the first deposit in a savings account.
Simple interest doesn't compound, which means a creditor will only pay interest on the principal amount and a borrower would never have to pay more interest on the previously accumulated interest.
Given,
I = 105
P = 100
r = 0.15
Now use simple interest formula,
105=100×(0.15)×(t)
Swap sides so t is on the left.
100 ×(0.15)×(t)=105
Divide both sides by 100.
0.15t=1.05
Divide both sides by 0.15
t=700
So, we see that it takes 700 months to earn this amount.