7.2-7.3 Practice Honors (Exponentials and e)

If 2^x+8 = 2^3x-4, which of the following statements is TRUE?

• x = 6

• x = 2

• x = -6

• x = 3

27^2x = 3^x-7

• -7/3
• -1
• -5/7
• -7/5

Solve for a:
5^{a + 2} = 1/125

• -1
• -6/7
• -5
• 4

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 years?

• $827.52

• $831.10

• $839.45

• $846.80

Emily’s parents put $1,500 in her bank account for college tuition. At an interest rate of 8.25% compounded semiannually, what will be the balance after 18 years?

• $6,273.50

• $6,314.08

• $6,385.72

• $6,427.94

Kimi invests $8,000 at 2% interest compounded continuously. How much money will she have in 5 years?

Dash invested $1,000 at 10% interest compounded continuously. How much will he have after 10 years?