To solve this we are going to use the future value of annuity due formula:
![FV=(1+ \frac{r}{n} )*P[ \frac{(1+ \frac{r}{n} )^{kt} -1}{ \frac{r}{n} } ]](https://tex.z-dn.net/?f=FV%3D%281%2B%20%5Cfrac%7Br%7D%7Bn%7D%20%29%2AP%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

is the future value

is the periodic payment

is the interest rate in decimal form

is the number of times the interest is compounded per year

is the number of payments per year

is the number of years
We know for our problem that

and

. To convert the interest rate to decimal for, we are going to divide the rate by 100%:


Since the payment is made quarterly, it is made 4 times per year; therefore,

.
Since the type of the annuity is due, payments are made at the beginning of each period, and we know that we have 4 periods, so

.
Lets replace those values in our formula:
![FV=(1+ \frac{r}{n} )*P[ \frac{(1+ \frac{r}{n} )^{kt} -1}{ \frac{r}{n} } ]](https://tex.z-dn.net/?f=FV%3D%281%2B%20%5Cfrac%7Br%7D%7Bn%7D%20%29%2AP%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=(1+ \frac{0.1}{4} )*295[ \frac{(1+ \frac{0.1}{4} )^{(4)(6)} -1}{ \frac{0.1}{4} } ]](https://tex.z-dn.net/?f=FV%3D%281%2B%20%5Cfrac%7B0.1%7D%7B4%7D%20%29%2A295%5B%20%5Cfrac%7B%281%2B%20%5Cfrac%7B0.1%7D%7B4%7D%20%29%5E%7B%284%29%286%29%7D%20-1%7D%7B%20%5Cfrac%7B0.1%7D%7B4%7D%20%7D%20%20%5D%20)
We can conclude that the amount of the annuity after 10 years is $9,781.54
Answer:
35x^2 is a polynomial because it is a whole # and x is the product of the term, it also has a variable.
the other answer is x/5+2
Answer:
f(3)=5
f(0)= -7
Step-by-step explanation:
replace
4(3)-7
f(3)=5
f(0)=4(0)-7
f(0)=0-7
f(0)= -7
Hello, hope this makes some sense, the midpoint formula is what’s given in the picture and the rest is just substitution
30,00 watts.
Think of the metric system like this: K H D B D C M
Now. you have kilo at the begining and milli at the end. To transition from left to right you multiply by 10 each time. To transition from right to left, you divide by 10 each time.