Exponential Functions, Half-Life and Compound Interest

Find the total amount in the account to the nearest cent if the interest is compounded annually.

$2750 at 8% for 2 years

• $2200

• $3207.60

• $8910

• $3222.06

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

If $400 is invested at 35% interest, compounded continuously, for 2 years, what is the ending balance?

• $280

• $680

• $1,034.47

• $805.50

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

Estimate the half-life of the radioactive substance shown in the graph:

• 6 months

• 6 hours

• 1 year

• 1 minute

• 14,195.08 grams

• 26.2 grams

• 1.36 grams

• 2.93 grams

The half-life of chromium-51 is 28 days. If the sample contained 510 grams, how much chromium-51 would remain after 56 days?

• 127.5 g

• 164.3 g

• 23.45 g

• 287 g

The half-life of Zn-71 is 2.4 minutes. If one had 100.0 g at the beginning, how many grams would be left after 7.2 minutes has elapsed?  

• 11.5 grams

• 12.5 grams

• 13.5 grams

• 14.5 grams

A patient takes 300 mg of ibuprofen. The half-life of ibuprofen is 2 hours. How much ibuprofen remains in the blood after 6 hours? (Round your answer to the nearest tenth.)

Mathematical Equivalence

ON

half life

• A=p(1+r/n)^nt

• N=No(1/2)

• a(l+r)^t

• A=Pe^rt