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Unit 8 Test

Last updated over 3 years ago
16 questions
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: _______
5

The amount of money in your bank account accrues interest at a rate of 22% a year. How much money would you have in your account after 25 years if you started with only $150 in the account? Round your answer to the nearest cent.
Use the formula: P(1+r)^t

2

Solve the equation:

2

On the provided space, plot the following equation:
y=2^{x+3}-3

3
Fill in the missing variables in the generic equation that would shift the graph to the right 5 spaces and down 7 spaces:

y=a\cdot2^{x-h}+k
a=_______
h=_______
k=_______
3

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

3

Determine the inverse of the function:
f(x)=(4-x)^{2}-5

3

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

3

Choose the correct expansion for the Logarithm:
\log_{2}(x^{2}\cdot y^{3})^{2}

3

Choose the correct condesement of the Logarithm
\frac{2\log x}{4}+\frac{3\log y}{4}+\frac{4\log z}{4}+\frac{5\log w}{4}

3

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

2

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

2

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

5

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)
n=number of times interest is applied per period
t=number of time periods

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%.

3
From the basic logarithmic equation f(x)=log(x), we transform it to: f(x)=0.25\cdot\log(x+6)-4. Pick the options which best describe how the graph is transformed:
Because of the 0.25, the graph is __________
Because of the (x+6), the graph is __________
Because of the +5, the graph is __________
3
From the basic logarithmic equation f(x)=log(x), fill in the blanks that will shift the new equation down 3 spaces, to the left 4 spaces and make it steeper by a factor of 5:
f(x)=a\cdot\log(x-h)+k
a=_______
h=_______
k=_______