Answer:
The balance is $5989.5
Step-by-step explanation:
The savings plan balance is given by the following formula:
![A = P*\left[\frac{(1 + \frac{APR}{n})^{n*Y} - 1}{\frac{APR}{n}}\right]](https://tex.z-dn.net/?f=A%20%3D%20P%2A%5Cleft%5B%5Cfrac%7B%281%20%2B%20%5Cfrac%7BAPR%7D%7Bn%7D%29%5E%7Bn%2AY%7D%20-%201%7D%7B%5Cfrac%7BAPR%7D%7Bn%7D%7D%5Cright%5D)
In which A is the savings plan balance, P is the monthly payment, APR is the annual percentage rate(decimal), n is the number of payments per year and Y is the number of years.
In this problem, we have that
Find the savings plan balance after 3 years with an APR of 7% and monthly payments of $150.
So we have to find A when 
.
So
![A = 150*\left[\frac{(1 + \frac{0.07}{12})^{12*3} - 1}{\frac{0.07}{12}}\right]](https://tex.z-dn.net/?f=A%20%3D%20150%2A%5Cleft%5B%5Cfrac%7B%281%20%2B%20%5Cfrac%7B0.07%7D%7B12%7D%29%5E%7B12%2A3%7D%20-%201%7D%7B%5Cfrac%7B0.07%7D%7B12%7D%7D%5Cright%5D)
The balance is $5989.5
2. The markup as a percentage of the original price is 8%
3. The price is $26.46
4. The selling price is $2.85
5. He paid $237
6. The percentage discount is 25%
Hope this helps
Answer:
GCF is 4ab
And the expression will be: 4ab ( 3a^2+2ab-5b^2)
Step-by-step explanation:
Factor the GCF :
12a^3b + 8a^2b^2-20 ab^3
We need to find the common terms that are common in each of the term given above
12,8 and 2 are all divisible by 4
a is common in all terms and b is also common in all terms,
So, GCF is 4ab
Taking 4ab common
12a^3b + 8a^2b^2-20 ab^3=4ab ( 3a^2+2ab-5b^2)
Answer: Length of his shadow is 18 feet.
Step-by-step explanation:
Since we have given that
Length of tall monument = 64 foot
Length of shadow = 16 feet
Length of pole where Kyle is standing = 6 feet 3 inch = 72 inches
So, we need to find the length of its shadow.
So, according to question, we get that
Hence, length of his shadow is 18 feet.
