Select 2 of the 3 work problems in this section. Use the approprate formula below:
3
3
3
Question 16
16.
OPTIONAL: Logan is taking out a loan to buy a $4000 ring for his girlfriend. He has the two finance options listed below. Which option should he choose? Justify your answer by giving the amount of money Logan will save:
Option A- a five year loan with a 7% interest rate compounded quarterly
Option B- An eight year loan with a 5.5% interest rate compunded annually.
Which equation best represents this graph;
f(x)=\frac{1}{2}log(4x)
f(x)=2\sqrt{4x}
f(x)=2(4)^x
f(x)=2(\frac{1}{4})^x
Solve for a:
8
1
2
4
Solve for m:
log_5(24)-log_5(3)=3\cdot{log_5(m)}
Sorry! You will all get credit for this one becuase I made a typo....I just changed the right hand side to base 5 to make it work.
8/3
7
2
1/7
Solve for y: 2\cdot{log(y+4)}=log7+log(y+4)
{-4}
{-4,3}
{3}
{-3,4}
OPTIONAL: Solve for x: 3^{x^2+7x}=(\frac{1}{27})^{x-8}
{-4,6}
{-12,2}
{-2,12}
{-6,4}
Solve for c:(\frac{1}{4})^{c-7}=64^{c+9}
-5
-17/2
17
10
Solve for v to the nearest ten-thousandth:
5^{v-1}-19=56
3.1761
1.1761
1.6825
3.6826
Question 13
13.
An investment of $12,000 is losing value at a rate of 4% each year. Write and exponential function to model the situation, then find the value of the investement after 9 years. (round your answer to 2 decimal places)
Question 14
14.
A baseball card that was valued at $200 in 1980 has increased in value by 7% each year. Write a function to model this situation, then find the vlaue of the card in 2016.
Question 15
15.
Kevin borrowed $32,500 to purchase a new car. If the rate on the loan is 6% compounded semi-annually (twice per year), how much will he pay in total over the course of the 5 year loan?