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
It takes about 4 days for the temperature to decrease by 9°F.
An equation is an expression that shows the relationship between two or more variables or numbers.
Let x represent the number of days. Given that the temperature drop decreased by 1 1/2°F each day (- 1 1/2), for it to decrease by 9°F (-9):
-1 1/2 * x = -9
-1.5x = - 9
x = 4 days
It takes about 4 days for the temperature to decrease by 9°F.
Tan 21 44 = h / 13428.7
h = 13428.7 * tan 21 44
Height = 5353 feet
Answer:
The slope of line k is - 4 .
Step-by-step explanation:
The slope of given line p is 1/4
Let the slope of line k which is perpendicular to is m.
When the two line are perpendicular to each other, the product of the slopes is always negative 1.
So, the slope of line k is given by
