Find the surface area of a cube with side base length 10m.
1 answer:
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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=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>
where
We know for our problem that
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:
We can conclude that the correct answer is <span>$71,076.06</span>
Answer:
Step-by-step explanation:
Let the number of bags of potatoes be x.
We have been given that a grocery store receives a 180-pound crate containing six 10-pound bags of potatoes and an unknown number of 5-pound bags of potatoes.
The weight of 6 potato bags of 10 pound each will be pounds.
We can write an equation for the number of bags of potatoes by equating the weight of six 10-pound bags of potatoes and x 5-pound bags of potatoes with 180 pounds.
Therefore, the equation that represents the number of bags of potatoes in the crate is .