Solving Exponential Growth and Decay Applications with Logarithms

Caiden earned $475 from mowing lawns last summer. He deposited this money in an account that pays an interest rate of 3.8% compounded annually. What will be his balance after 15 year?

• $827.52
• $831.10
• $839.45
• $846.80

If $1,000 is invested at 16% interest, compounded continuously, for five years, what is the ending balance?

• $1,225,54
• $2,225.54
• $22,255.40
• $225.54

Principal: $5000
Interest Rate: 3.75%
Time: 25 years
Compounded Monthly
State the future account balance.

• $12712.31
• $12,749.30
• $12,657.59
• $12550.84

Ashleigh put some money into an account paying 4.5% compounded continuously for 10 years. She now has $3567.91 in the account. How much money did she start the account with?

• $2275

• $2725

• $2572

• $3275

Dash puts $4125 into an account using compounded continuously. If he keeps the money in the account for 5 years and now has a total of $4193.89. What is the interest rate?

• 0.033%

• 0.025%

• 0.053%

• 0.052%

Chelsea put $7500 into an account paying 5% compounded continuously. She now has $10,643.01. How long has the money been in the account?

• 7 years

• 6 years

• 5 years

• 4 years

What principal will amount to $4500 if invested at 4% interest compounded quarterly for 5 years?

• $3463.04
• $3366.58
• $3687.95
• $3903.18

What is the formula for continuously compounded interest?

• A = Pe^rt
• A = Pe^t

Riley invested $1,000 in savings bonds. If the bonds earn 6.75% interest compounded semi-annually, how much total will Riley earn in 15 years?

• $1,584.62
• $2,651.39
• $2,706.86
• $1,825.10

You invested $1,900 at 4% interest compounded annually for 3 years.  How much interest did you earn in 3 years?

• $2,372.40
• $237.24
• $2,137.24
• $3,197.60