Answer:
$2,226.96
Step-by-step explanation:
You are going to want to use the compound interest formula, which is shown below.
![A=P(1+\frac{r}{n} )^{nt}](https://tex.z-dn.net/?f=A%3DP%281%2B%5Cfrac%7Br%7D%7Bn%7D%20%29%5E%7Bnt%7D)
<em>P = initial balance
</em>
<em>r = interest rate
</em>
<em>n = number of times compounded annually
</em>
<em>t = time
</em>
<em />
First, change 10% into its decimal form:
10% ->
-> 0.1
Now lets plug in the values into the equation:
![A=500(1+\frac{0.1}{12})^{15(12)}](https://tex.z-dn.net/?f=A%3D500%281%2B%5Cfrac%7B0.1%7D%7B12%7D%29%5E%7B15%2812%29%7D)
![A=2,226.96](https://tex.z-dn.net/?f=A%3D2%2C226.96)
The final amount after 15 years is $2,226.96
Answer:
The measure of angle CDE is 37 degrees
Step-by-step explanation:
Answer:
it is 192000 is got it right
Answer:
60
Step-by-step explanation:
Cot is the same as 1/tan so:
![1/tan(theta) = tan(30)](https://tex.z-dn.net/?f=1%2Ftan%28theta%29%20%3D%20tan%2830%29)
By rearranging the equation, we get:
![1/tan(30) = tan(theta)](https://tex.z-dn.net/?f=1%2Ftan%2830%29%20%3D%20tan%28theta%29)
By taking the inverse tan, we get:
![theta = tan^-1 (1/tan(30)) =60](https://tex.z-dn.net/?f=theta%20%3D%20tan%5E-1%20%281%2Ftan%2830%29%29%20%3D60)
Answer:
hour
Step-by-step explanation:
Let x represent time taken by dog to run the 1 and three tenths -mile state fair race.
We have been given that a dog won a race at the local fair by running 3 and one fourth miles in exactly 2 hours.
We will use proportions to solve our given problem as:
![\text{Speed}=\frac{\text{Distance}}{\text{Time}}](https://tex.z-dn.net/?f=%5Ctext%7BSpeed%7D%3D%5Cfrac%7B%5Ctext%7BDistance%7D%7D%7B%5Ctext%7BTime%7D%7D)
We will equate both speeds as:
![\frac{1\frac{3}{10}}{x}=\frac{3\frac{1}{4}}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%5Cfrac%7B3%7D%7B10%7D%7D%7Bx%7D%3D%5Cfrac%7B3%5Cfrac%7B1%7D%7B4%7D%7D%7B2%7D)
![\frac{\frac{13}{10}}{x}=\frac{\frac{13}{4}}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B13%7D%7B10%7D%7D%7Bx%7D%3D%5Cfrac%7B%5Cfrac%7B13%7D%7B4%7D%7D%7B2%7D)
![\frac{13}{10\cdot x}=\frac{13}{4\cdot 2}](https://tex.z-dn.net/?f=%5Cfrac%7B13%7D%7B10%5Ccdot%20x%7D%3D%5Cfrac%7B13%7D%7B4%5Ccdot%202%7D)
Cross multiply:
![13\cdot 10\cdot x=13\cdot 4\cdot 2](https://tex.z-dn.net/?f=13%5Ccdot%2010%5Ccdot%20x%3D13%5Ccdot%204%5Ccdot%202)
![10\cdot x=4\cdot 2](https://tex.z-dn.net/?f=10%5Ccdot%20x%3D4%5Ccdot%202)
![\frac{10\cdot x}{10}=\frac{4\cdot 2}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B10%5Ccdot%20x%7D%7B10%7D%3D%5Cfrac%7B4%5Ccdot%202%7D%7B10%7D)
Therefore, it will take
hour to complete
mile state fair race.