Homework 8.6 & 8.7

Last updated over 3 years ago
10 questions
1

Solve the following equation. Round your answers to the nearest ten-thousanths.
6^{m}=92

1

Solve the following equation. Round your answers to the nearest ten-thousanths.
8^{m}=7

1

Solve the following equation. Round your answers to the nearest ten-thousanths.
2^{v}=35

1

Solve the following equation. Round your answers to the nearest ten-thousanths.
10^{x}=34

1

Solve the following equation. Round your answers to the nearest ten-thousanths.
19^{x}=3

1

Solve the following equation. Round your answers to the nearest ten-thousanths.
9^{a+10}-9=29

1

Solve the following equation. Round your answers to the nearest ten-thousanths.
e^{n+2}+9=96

1

Solve the following equation. Round your answers to the nearest ten-thousanths.
6\cdot19^{n-6}=15

1

Using the following formula for Compound Interest,
A=P(1+\frac{r}{n})^{nt}
Where:
A=Final Amount
P=Initial Amount
r=interest rate (as a decimal)
n=number of times interest is applied per period
t=number of time periods

Find how many years it would take to have $4,472.02 in the account that started with $1000 at an interest rate of 15% compounded every week per year.

1

The function
f(t)=b\cdot(\frac{1}{2})^{\frac{t}{h}}
gives the amount remaining, in milligrams, of a radioactive sample of b milligrams that has a half-life h after a period of time t.

A sample of 100 mg of Plutonium-238 has a half-life of 87.74 years. Find the amount of time until there is only 1 mg of Plutonium-238 remaining. Round your answer to the nearest year