Unit 8 Test

5

Write the rate as a percent for each of the given expressions:

y=A(1.33)^x, the rate is:

y=A(0.13)^x, the rate is:

y=A(1.01)^x, the rate is:

y=A(20)^x, the rate is:

y=A(0.354)^x, the rate is:

10

You are frozen in time for some amount of years with $12 in your bank account with 16% interest. When you get thawed out, you check your bank balance and find that you have $93,948,357.98 saved up. How long were you frozen?

7

Solve the equation:

x=\frac{3}{2}

x=-\frac{3}{4}

x=-1

x=-10

10

On the provided space, plot the following equation. Make sure to list at least 5 points:
y=2^{x+3}-3
You may use Desmos to get the graph and the points but you cannot screen shot

10

Determine the inverse of the function:
f(x)=\frac{2x^{2}+9}{8}-3

7

Choose the correct expansion for the Logarithm:
\log\frac{x^{6}}{y^{3}}

18y\log x

3\log y-6\log x

6 \log x-3\log y

3\log x+6\log y

7

Choose the correct condesement of the Logarithm
\log u-(5\log w+15\log v)

\log \frac{w^{5}u}{v^{15}}

\log \frac{u}{w^{5}v^{15}}

\log (w^{5}v^{15}\sqrt{u})

\log (\sqrt{w^{5}uv^{15}})

7

Solve the following equation. Round your answers to the nearest ten-thousanths.
8^{2m}=92

m=1.9638

m=1.0873

m=1.9639

m=1.5218

7

Solve the following equation. Round your answers to the nearest ten-thousanths.
3^{a-10}+3=29

a=12.9656

a=13.9638

a=11.3758

a=12.3624

10

Using the following formula for Compound Interest,
A=P(1+r)^{t}
Where:
A=Final Amount
P=Initial Amount
r=interest rate (as a decimal)
t=number of years
Find how many years it would take to have $12,170.57 in the account that started with $420 at an interest rate of 5%.

10

From the basic logarithmic equation f(x)=log(x), we transform it to: f(x)=0.25\cdot\log(x+6)+5. Pick the options which best describe how the graph is transformed:

Because of the 0.25, the graph is

Because of the +5, the graph is

x=\frac{3}{2}

x=-\frac{3}{4}

x=-1

x=-10

Unit 8 Test

You are frozen in time for some amount of years with $12 in your bank account with 16% interest. When you get thawed out, you check your bank balance and find that you have $93,948,357.98 saved up. How long were you frozen?

Solve the equation:

On the provided space, plot the following equation. Make sure to list at least 5 points:y=2^{x+3}-3You may use Desmos to get the graph and the points but you cannot screen shot

Determine the inverse of the function:f(x)=\frac{2x^{2}+9}{8}-3

Choose the correct expansion for the Logarithm:\log\frac{x^{6}}{y^{3}}

Choose the correct condesement of the Logarithm\log u-(5\log w+15\log v)

Solve the following equation. Round your answers to the nearest ten-thousanths.8^{2m}=92

Solve the following equation. Round your answers to the nearest ten-thousanths.3^{a-10}+3=29

Using the following formula for Compound Interest, A=P(1+r)^{t}Where:A=Final AmountP=Initial Amountr=interest rate (as a decimal)t=number of yearsFind how many years it would take to have $12,170.57 in the account that started with $420 at an interest rate of 5%.

On the provided space, plot the following equation. Make sure to list at least 5 points:y=2^{x+3}-3You may use Desmos to get the graph and the points but you cannot screen shot

Determine the inverse of the function:f(x)=\frac{2x^{2}+9}{8}-3

Choose the correct expansion for the Logarithm:\log\frac{x^{6}}{y^{3}}

Choose the correct condesement of the Logarithm\log u-(5\log w+15\log v)

Solve the following equation. Round your answers to the nearest ten-thousanths.8^{2m}=92

Solve the following equation. Round your answers to the nearest ten-thousanths.3^{a-10}+3=29

Using the following formula for Compound Interest, A=P(1+r)^{t}Where:A=Final AmountP=Initial Amountr=interest rate (as a decimal)t=number of yearsFind how many years it would take to have $12,170.57 in the account that started with $420 at an interest rate of 5%.

On the provided space, plot the following equation. Make sure to list at least 5 points:
y=2^{x+3}-3
You may use Desmos to get the graph and the points but you cannot screen shot

Determine the inverse of the function:
f(x)=\frac{2x^{2}+9}{8}-3

Choose the correct expansion for the Logarithm:
\log\frac{x^{6}}{y^{3}}

Choose the correct condesement of the Logarithm
\log u-(5\log w+15\log v)

Solve the following equation. Round your answers to the nearest ten-thousanths.
8^{2m}=92

Solve the following equation. Round your answers to the nearest ten-thousanths.
3^{a-10}+3=29

Using the following formula for Compound Interest,
A=P(1+r)^{t}
Where:
A=Final Amount
P=Initial Amount
r=interest rate (as a decimal)
t=number of years
Find how many years it would take to have $12,170.57 in the account that started with $420 at an interest rate of 5%.

On the provided space, plot the following equation. Make sure to list at least 5 points:
y=2^{x+3}-3
You may use Desmos to get the graph and the points but you cannot screen shot

Determine the inverse of the function:
f(x)=\frac{2x^{2}+9}{8}-3

Choose the correct expansion for the Logarithm:
\log\frac{x^{6}}{y^{3}}

Choose the correct condesement of the Logarithm
\log u-(5\log w+15\log v)

Solve the following equation. Round your answers to the nearest ten-thousanths.
8^{2m}=92

Solve the following equation. Round your answers to the nearest ten-thousanths.
3^{a-10}+3=29

Using the following formula for Compound Interest,
A=P(1+r)^{t}
Where:
A=Final Amount
P=Initial Amount
r=interest rate (as a decimal)
t=number of years
Find how many years it would take to have $12,170.57 in the account that started with $420 at an interest rate of 5%.