You have invested money in a savings account that pays a fixed monthly interest on the account balance. The following table shows the account balance over the first 5 months. Time in months Savings balance 0 $1600.00 1 $1619.20 2 $1638.63 3 $1658.29 4 $1678.19 5 $1698.33 (a) How much money was originally invested? $ (b) Show that the data are exponential. (Round your answer to three decimal places.)

Question

You have invested money in a savings account that pays a fixed monthly interest on the account balance. The following table shows the account balance over the first 5 months.

Time in months	Savings balance
0	$1600.00
1	$1619.20
2	$1638.63
3	$1658.29
4	$1678.19
5	$1698.33

(a) How much money was originally invested?
$

(b) Show that the data are exponential. (Round your answer to three decimal places.)

Each successive ratio of new/old is____________ , which shows that the data is exponential.

Find an exponential model for the account balance. (Let t be the time in months and B the savings balance in dollars. Round your parameters to three decimal places.)

B(t) =_______________

(f) How long does it take your money to double in value? (Round your answer to two decimal places.)
____________ months

How much longer does it take it to double in value again? (Round your answer to two decimal places.)