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

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 form, we are going to divide the rate by 100%:

Since the deposit is made semiannually, it is made 2 times per year, so

.
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

.
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>
Answer:
3d+2
Step-by-step explanation:
Because he is getting 3x the amount of his wages it would be 3xd, simplified to 3d. Then add 2.
Answer:
9.42 units (3 s.f.)
Step-by-step explanation:
Circumference of circle= 2πr
Radius
= diameter ÷2
= 3 ÷2
= 1.5
Circumference of circle
= 2(π)(1.5)
= 3π
= 9.42 units (3 s.f.)
Answer:
9
Step-by-step explanation:
"For each nickel, she has one dime"
That means she has the same number of nickels and dimes.
"for each dime she has one quarter"
That means she has the same number of quarters and dimes.
She has the same number of each coin.
Let's say she has x coins of each type.
The nickels are worth 0.05x; the dimes are worth 0.10x. The quarters are worth 0.25x. Altogether, the coins are worth
0.05x + 0.10x + 0.25x
We are told her coins are worth $1.20, so we set those two amounts equal and solve for x.
0.05x + 0.10x + 0.25x = 1.20
0.40x = 1.20
x = 1.20/0.40
x = 3
She has 3 coins of each type. Since there are 3 types of coins, she has 9 coins.
Answer:
9x+10-5z
Step-by-step explanation:
(9x + 3) – (5z - 7)
9x+3-5z + 7)
<u>9x+10-5z</u>