Colleen is 15 years from retiring. She opens an account at the Savings Bank. She plans to deposit $10,000 each year into the account, which pays 1.7% interest, compounded annually.
a. How much will be in the account in 15 years?
b. How much interest would be earned?
Please put how to work it out

9514 1404 393

  a) $169,234.59

  b) $19,234.59

Step-by-step explanation:

The first question you must answer is whether Colleen will earn interest on her first deposit in the first year. That is, does she deposit the money at the first of the year or the end of the year?

The usual "annuity" formula assumes the deposit is at the end of the year, so no interest at all is earned on the last deposit made. If the deposit is at the first of the year, an "annuity due" formula is used, that multiplies the entire ending account value by the annual multiplier, 1.017 in this case.

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a) Assuming an "annuity", the formula is ...

  A = P((1 +r)^t -1)/r . . . . . for annual compounding at rate r for t years

  A = $10,000(1.017^15 -1)/0.017 = $169,234.59 . . . . ending balance

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b) Colleen has made 15 deposits of $10,000, for a total of $150,000, so the amount of interest earned is ...

  $169,234.59 -150,000 = $19,234.59 . . . . interest earned

answer: since the question is talking about growth you have to use the growth formula which is inital amount (1 + growth)^time

step-by-step explanation:

the intial amount is 1200, the growth is 4.8, and the time is 7. plug those numbers into the equation, also i think you have to change 4.8 into a percent. but, i have forgotton how to do that. if this is a online class go on to the lesson.

answer: 0,6

step-by-step explanation:

this would make it the y intercept.