When you have a power to a fraction, you simply take it by the top and then by the bottm.
So, split it into two: (2)^4 and (5)^4
Solve: (2)^4=16
(5)^4=625
So the fraction is: 16/625
Check to see if it reduces: It doesn't. (Odd and even numbers that have no common multiples).
Therefore, that's the answer.
Answer:
Both Wolverine and James Bond will have paid the same amount after 10 months.
Step-by-step explanation:
Let x denotes the number of months after which both Wolverine and James Bond will have paid the same amount.
As Wolverine makes a $1000 down payment for a motorcycle and then pays $300 per month,
Amount paid by Wolverine in x months is equal to ![1000+300x](https://tex.z-dn.net/?f=1000%2B300x)
As James Bond makes a $2500 down payment for a motorcycle and then pays $150 per month,
Amount paid by James Bond in x months is equal to ![2500+150x](https://tex.z-dn.net/?f=2500%2B150x)
To find number of months after which both Wolverine and James Bond will have paid the same amount,
solve ![1000+300x=2500+150x](https://tex.z-dn.net/?f=1000%2B300x%3D2500%2B150x)
![1000+300x=2500+150x\\300x-150x=2500-1000\\150x=1500\\x=\frac{1500}{150}=10](https://tex.z-dn.net/?f=1000%2B300x%3D2500%2B150x%5C%5C300x-150x%3D2500-1000%5C%5C150x%3D1500%5C%5Cx%3D%5Cfrac%7B1500%7D%7B150%7D%3D10)
So, both Wolverine and James Bond will have paid the same amount after 10 months.
The solution is D.
By plugging the x value, 5, into the equation:
6*5=30
30+1=31
y=31
the x value is 5 and the y value is 31
(5, 31)
hope that helps!
Answer:
$17,685.45
Step-by-step explanation:
We will use the compound interest formula to solve this:
![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 (decimal)</em>
<em>n = number of times compounded annually</em>
<em>t = time</em>
<em />
The first step is to change 12% into a decimal:
12% ->
-> 0.12
Next, lets plug in the values:
![A=8,000(1+\frac{0.12}{1})^{1(7)}](https://tex.z-dn.net/?f=A%3D8%2C000%281%2B%5Cfrac%7B0.12%7D%7B1%7D%29%5E%7B1%287%29%7D)
![A=17,685.45](https://tex.z-dn.net/?f=A%3D17%2C685.45)
After 7 years, you will have $17,685.45
To find the percent of change, subtract to find the amount of change
387 - 207 = 180. The increase is 207.
Then divide the amount of change by the original amount
207 ÷ 180 = 1.15
Change the decimal to a percent, and multiply the number by 100:
1.15 X 100 = 115
The answer is 115%