If you rewrite this phrase to be an equation, with N representing the missing number, it would be:
20% x N = 1581.01 or 0.2N = 1581.01
This equation basically says 20% of what number equals 1581.01.
To get to the answer, divide both sides by 0.2. -->
0.2N ÷ 0.2 = 1581.01 ÷ 0.2 -->
N = 1581.01/0.2
N = 7905.05
Answer:
a) 13913
b) 4913.82
Step-by-step explanation:
The compound interest formula is given by:
![A(t) = P(1 + \frac{r}{n})^{nt}](https://tex.z-dn.net/?f=A%28t%29%20%3D%20P%281%20%2B%20%5Cfrac%7Br%7D%7Bn%7D%29%5E%7Bnt%7D)
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
In this question:
Investment of 9000, so ![P = 9000](https://tex.z-dn.net/?f=P%20%3D%209000)
Interest rate of 8%, so ![r = 0.08](https://tex.z-dn.net/?f=r%20%3D%200.08)
Compounded quarterly, so ![n = 4](https://tex.z-dn.net/?f=n%20%3D%204)
5 years and 6 months, that is, 5 years and half, so ![t = 5.5](https://tex.z-dn.net/?f=t%20%3D%205.5)
(a) How much would the value of her savings at the end of the term?
![A(t) = P(1 + \frac{r}{n})^{nt}](https://tex.z-dn.net/?f=A%28t%29%20%3D%20P%281%20%2B%20%5Cfrac%7Br%7D%7Bn%7D%29%5E%7Bnt%7D)
![A(5.5) = 9000(1 + \frac{0.08}{4})^{4*5.5} = 13913.82](https://tex.z-dn.net/?f=A%285.5%29%20%3D%209000%281%20%2B%20%5Cfrac%7B0.08%7D%7B4%7D%29%5E%7B4%2A5.5%7D%20%3D%2013913.82)
(b) How much is the interest earned by your savings?
The amount subtracted by the principal. So
13913.82 - 9000 = 4913.82
Your answer should be, 3x= 22y to the tenth power...
Answer:
Step-by-step explanation:
The reflection preserves the side lengths and angles of triangle ABC. The dilation preserves angles but not side lengths.