Suppose $500 is invested in an account at an annual interest rate of r =5.5%, compounded continuously.

(a) let t denote the number of years after the initial investment and a(t) denote the amount of money in the account at time t. find a formula for a(t).
(b) find the amount of money in the account after 9 years and after 17 years. round your answer to the nearest cent (hundredths).

a) A(t)= $500(1.055)^t

b) Amount after 9 years A(9) = $809.55

Amount after 17 years A(17) = $1242.40

Step-by-step explanation: shown in the attachment.

$53.50

step-by-step explanation:

you have to subtract the amount of money chuck earned ($72.50) by the cost of the gas for the mower ($11.25) and the new string for the trimmer he bought ($7.75).

72.50-11.25=61.25

and then subtract $61.25 by the second thing he bought (the new string for the trimmer)

61.25-7.75=53.5

so in total it's $53.50 (53 dollars and 50 cents)

since proposition states that a number is greater than 25, if is true then the number must actually be greater than 25.

this implies that all possible options, except 24, can be accepted