Using the formula for compounded interest, it is found that an interest rate of 1.56% would be required.
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The compound interest formula is given by:
- 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.
- t is the time in years for which the money is invested or borrowed.
- Invest $11,000, thus
![P = 11000](https://tex.z-dn.net/?f=P%20%3D%2011000)
- 16 years, thus
![t = 16](https://tex.z-dn.net/?f=t%20%3D%2016)
- End up with $14,000, thus
![A(t) = 14000](https://tex.z-dn.net/?f=A%28t%29%20%3D%2014000)
- Compounded monthly, thus
.
![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)
![14000 = 11000(1 + \frac{r}{12})^{12(16)}](https://tex.z-dn.net/?f=14000%20%3D%2011000%281%20%2B%20%5Cfrac%7Br%7D%7B12%7D%29%5E%7B12%2816%29%7D)
![(1 + \frac{r}{12})^{192} = \frac{14}{11}](https://tex.z-dn.net/?f=%281%20%2B%20%5Cfrac%7Br%7D%7B12%7D%29%5E%7B192%7D%20%3D%20%5Cfrac%7B14%7D%7B11%7D)
![\sqrt[192]{(1 + \frac{r}{12})^{192}} = \sqrt[192]{\frac{14}{11}}](https://tex.z-dn.net/?f=%5Csqrt%5B192%5D%7B%281%20%2B%20%5Cfrac%7Br%7D%7B12%7D%29%5E%7B192%7D%7D%20%3D%20%5Csqrt%5B192%5D%7B%5Cfrac%7B14%7D%7B11%7D%7D)
![1 + \frac{r}{12} = (\frac{14}{11})^{\frac{1}{192}}](https://tex.z-dn.net/?f=1%20%2B%20%5Cfrac%7Br%7D%7B12%7D%20%3D%20%28%5Cfrac%7B14%7D%7B11%7D%29%5E%7B%5Cfrac%7B1%7D%7B192%7D%7D)
![1 + \frac{r}{12} = 1.0013](https://tex.z-dn.net/?f=1%20%2B%20%5Cfrac%7Br%7D%7B12%7D%20%3D%201.0013)
![\frac{r}{12} = 0.0013](https://tex.z-dn.net/?f=%5Cfrac%7Br%7D%7B12%7D%20%3D%200.0013)
![r = 0.0013(12)](https://tex.z-dn.net/?f=r%20%3D%200.0013%2812%29)
![r = 0.0156](https://tex.z-dn.net/?f=r%20%3D%200.0156)
An interest rate of 1.56% would be required.
A similar problem is given at brainly.com/question/23781391
Answer:
5
Step-by-step explanation:
They are looking for the y intercept. I am assuming that the scale on the x and y axis are counting by 1's. If you start at the origin (0,0) and count up, you will see that the dotting line is going through (0,5)
Formula for area of parallelogram:
A= Base x Height
Here Area, A= 18 1/3 ft²
Height, H=3 1/3 ft
Convert the mixed number into improper fraction.
18 1/3 = 55/3
and 3 1/3= 10/3
Put values in formula to get the length of base.
55/3=B x 10/3
Multiply both sides by 3.
55=10B
Divide both sides by 10.
55/10=B
or
B=11/2 ft
or
B= 5 1/2 ft
Answer: Base of window is 11/2 ft or 5 1/2ft
Answer:
one direction ♥
Step-by-step explanation:
I love their songs especially steal my girl