2x18-5+15%5=32 Insert parentheses to make each equal true
1 answer:
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To solve this we are going to use formula for the future value of an ordinary annuity: ![FV=P[ \frac{(1+ \frac{r}{n} )^{nt} -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%7Bnt%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 years
We know from our problem that the periodic payment is $50 and the number of years is 3, so
and 
. To convert the interest rate to decimal form, we are going to divide the rate by 100%
Since the interest is compounded monthly, it is compounded 12 times per year; therefore,
.
Lets replace the values in our formula:
![FV=50[ \frac{(1+ \frac{0.04}{12} )^{(12)(3)} -1}{ \frac{0.04}{12} } ]](https://tex.z-dn.net/?f=FV%3D50%5B%20%5Cfrac%7B%281%2B%20%5Cfrac%7B0.04%7D%7B12%7D%20%29%5E%7B%2812%29%283%29%7D%20-1%7D%7B%20%5Cfrac%7B0.04%7D%7B12%7D%20%7D%20%5D)
We can conclude that after 3 years you will have $1909.08 in your account.
where
We know from our problem that the periodic payment is $50 and the number of years is 3, so
Since the interest is compounded monthly, it is compounded 12 times per year; therefore,
Lets replace the values in our formula:
We can conclude that after 3 years you will have $1909.08 in your account.
Answer:
The circle's circumference is 6.28 m.
Step-by-step explanation:
We have,
The circle has a radius of 1 meter.
It is required to find the circumference of the circle. The formula of the circumference of circle is given by :
r is radius
So, the circle's circumference is 6.28 m.