Answer:
Step-by-step explanation:

Also,
&
The answer is 8%
Compound interest formula is:
A = P(1 + r/n)ⁿˣ
A - the final amount
P - the initial amount
r - interest rate
n - number of compoundings per year
x - time period
We have:
A = <span>$1389.08
P = </span><span>$1000
r = ?
n = 2 (it is semiannual)
x = 4
</span>A = P(1 + r/n)ⁿˣ
1389.08 = 1000(1 + r/2)²*⁴
1389.08 = 1000(1 + r/2)⁸
(1 + r/2)⁸ = 1389.08/1000
(1 + r/2)⁸ = 1.389
![\sqrt[8]{(1 + \frac{r}{2} ) ^{8}} = \sqrt[8]{1.389} \\ 1 + \frac{r}{2} =1.04 \\ \frac{r}{2} = 1.04-1 \\ \frac{r}{2} = 0.04 \\ r = 2*0.04 =0.08](https://tex.z-dn.net/?f=%20%5Csqrt%5B8%5D%7B%281%20%2B%20%20%5Cfrac%7Br%7D%7B2%7D%20%29%20%5E%7B8%7D%7D%20%20%20%3D%20%20%5Csqrt%5B8%5D%7B1.389%7D%20%20%5C%5C%20%0A1%20%2B%20%20%5Cfrac%7Br%7D%7B2%7D%20%3D1.04%20%5C%5C%20%0A%20%5Cfrac%7Br%7D%7B2%7D%20%3D%201.04-1%20%5C%5C%20%0A%20%5Cfrac%7Br%7D%7B2%7D%20%3D%200.04%20%5C%5C%20%0Ar%20%3D%202%2A0.04%20%3D0.08)
r = 0.08 = 8/100 = 8%
Let h = Hannah's age.
Hannah is older than her sibling, and their ages are consecutive odd integers. Therefore, h = an odd number and the sibling's age = h-2.
The sum of their ages is 92, therefore
h + (h-2) = 92
2h - 2 = 92
2h = 94
h = 47 years
Answer:
The equation to find Hannah's age is 2h - 2 = 92.
This yields Hannah's age as 47 years.
Answer:
D
x is less than or equal to -3
Step-by-step explanation:
I hope I was fast enough ^^
Answer:
C. 26°, 64°, 90°
Step-by-step explanation: