Write the rate as a percentfor 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: _______
Question 2
2.
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?
Question 3
3.
Solve the equation:
Question 4
4.
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
Question 5
5.
Determine the inverse of the function:
f(x)=\frac{2x^{2}+9}{8}-3
Question 6
6.
Choose the correct expansion for the Logarithm:
\log\frac{x^{6}}{y^{3}}
Question 7
7.
Choose the correct condesement of the Logarithm
\log u-(5\log w+15\log v)
Question 8
8.
Solve the following equation. Round your answers to the nearest ten-thousanths.
8^{2m}=92
Question 9
9.
Solve the following equation. Round your answers to the nearest ten-thousanths.
3^{a-10}+3=29
Question 10
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%.
Question 11
11.
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 (x+6), the graph is __________
Because of the +5, the graph is __________
Question 12
12.
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: