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Solving exponentials with logs

Total questions: 10

Worksheet time: 3hrs 30mins

Name
Class
Date
1.

Solve ln e

a)

10

b)

1

c)

5

d)

3

2.

5(6)3x=20

a)

2.3

b)

.26

c)

.04

d)

4

3.

To solve 24000 = 12000e0.03t , what would the next step be?

a)
b)
c)
d)
4.
a)
39.65 minutes
b)
35.11 minutes
c)
45.12 minutes
d)
62.78 minutes
5.
a)
about 7 years
b)
about 10 years
c)
about 18 years
d)
about 22 years
6.

The half-life for plutonium-241 is 13 years. How long does it take for an initial 25 mg to decrease to 4 mg? Round to the nearest whole year.

t = (a)   years

7.

How many years will it take $3500 to triple if it is invested at 5.64% compounded continuously? Round to the nearest whole year.

t = (a)   years

8.

Fayette Bank offers you 3.8% interest compounded annually. How long will it take for your money to triple if you use Fayette Bank?

a)

17 years and 10 months

b)

29 years and 2 months

c)

28 years and 11 months

d)

29 years and 6 months

9.
The poplulation of Eden is growing continuously at a rate of 1.9%. If the current population is 15,230, about how many years to reach 20,000?
a)
31
b)
2
c)
15
d)
68
10.

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?

a)

7 years

b)

6 years

c)

5 years

d)

4 years