Original bill is 100%/20% *5.8=29
(dollars)
Answer:
f(-)=29/11
Step-by-step explanation:
Even though you don't want an explanation, I'll just tell you the basics lol.
So what you have to do, is plug in -7 for the x's.
it should look something like the equation below.
![f\left(-7\right)=\frac{-29}{-7-4}](https://tex.z-dn.net/?f=f%5Cleft%28-7%5Cright%29%3D%5Cfrac%7B-29%7D%7B-7-4%7D)
After that all you need to is just to subtract :)
![f\left(-7\right)=\frac{-29}{-11}](https://tex.z-dn.net/?f=f%5Cleft%28-7%5Cright%29%3D%5Cfrac%7B-29%7D%7B-11%7D)
Then after that all you need to do is just let the negatives cancel out each other so you should get:
![f\left(-7\right)=\frac{29}{11}](https://tex.z-dn.net/?f=f%5Cleft%28-7%5Cright%29%3D%5Cfrac%7B29%7D%7B11%7D)
Hope this helps!
To solve this we are going to use the future value of annuity ordinary formula:
![FV=P[ \frac{(1+ \frac{r}{n} )^{kt} -1}{ \frac{r}{n} } ]](https://tex.z-dn.net/?f=FV%3DP%5B%20%5Cfrac%7B%281%2B%20%5Cfrac%7Br%7D%7Bn%7D%20%29%5E%7Bkt%7D%20-1%7D%7B%20%5Cfrac%7Br%7D%7Bn%7D%20%7D%20%5D)
where
![FV](https://tex.z-dn.net/?f=FV)
is the future value
![P](https://tex.z-dn.net/?f=P)
is the periodic payment
![r](https://tex.z-dn.net/?f=r)
is the interest rate in decimal form
![n](https://tex.z-dn.net/?f=n)
is the number of times the interest is compounded per year
![k](https://tex.z-dn.net/?f=k)
is the number of payments per year
![t](https://tex.z-dn.net/?f=t)
is the number of years
We know for our problem that
![P=6200](https://tex.z-dn.net/?f=P%3D6200)
and
![t=5](https://tex.z-dn.net/?f=t%3D5)
. To convert the interest rate to decimal form, we are going to divide the rate by 100%:
![r= \frac{6}{100} =0.06](https://tex.z-dn.net/?f=r%3D%20%5Cfrac%7B6%7D%7B100%7D%20%3D0.06)
Since the deposit is made semiannually, it is made 2 times per year, so
![k=2](https://tex.z-dn.net/?f=k%3D2)
.
Since the type of the annuity is ordinary, payments are made at the end of each period, and we know that we have 2 periods, so
![n=2](https://tex.z-dn.net/?f=n%3D2)
.
Lets replace the values in our formula:
![FV=P[ \frac{(1+ \frac{r}{n} )^{kt} -1}{ \frac{r}{n} } ]](https://tex.z-dn.net/?f=FV%3DP%5B%20%5Cfrac%7B%281%2B%20%5Cfrac%7Br%7D%7Bn%7D%20%29%5E%7Bkt%7D%20-1%7D%7B%20%5Cfrac%7Br%7D%7Bn%7D%20%7D%20%5D)
![FV=6200[ \frac{(1+ \frac{0.06}{2} )^{(2)(5)} -1}{ \frac{0.06}{2} } ]](https://tex.z-dn.net/?f=FV%3D6200%5B%20%5Cfrac%7B%281%2B%20%5Cfrac%7B0.06%7D%7B2%7D%20%29%5E%7B%282%29%285%29%7D%20-1%7D%7B%20%5Cfrac%7B0.06%7D%7B2%7D%20%7D%20%5D)
We can conclude that the correct answer is <span>
$71,076.06</span>