Answer:
x = 74.2°
Step-by-step explanation:
Complementary angles are two angles whose sum is 90°.
Let x = the second angle
15.8° + x = 90°
x = 90 - 15.8°
x = 74.2°
After 6 years the investment is $5555.88
Step-by-step explanation:
A principal of $3600 is invested at 7.5% interest, compounded annually. How much will the investment be worth after 6 years?
The formula used to find future value is:
![A(t)=P(1+\frac{r}{n})^{nt}](https://tex.z-dn.net/?f=A%28t%29%3DP%281%2B%5Cfrac%7Br%7D%7Bn%7D%29%5E%7Bnt%7D)
where A(t) = Accumulated amount
P = Principal Amount
r = annual rate
t= time
n= compounding periods per year
We are given:
P = $3600
r = 7.5 %
t = 6
n = 1
Putting values in formula:
![A(t)=P(1+\frac{r}{n})^{nt}\\A(t)=3600(1+\frac{0.075}{1})^{6*1}\\A(t)=3600(\frac{1.075}{1})^6\\A(t)=3600(1.075)^6\\A(t)=3600(1.543)\\A(t)=5555.88](https://tex.z-dn.net/?f=A%28t%29%3DP%281%2B%5Cfrac%7Br%7D%7Bn%7D%29%5E%7Bnt%7D%5C%5CA%28t%29%3D3600%281%2B%5Cfrac%7B0.075%7D%7B1%7D%29%5E%7B6%2A1%7D%5C%5CA%28t%29%3D3600%28%5Cfrac%7B1.075%7D%7B1%7D%29%5E6%5C%5CA%28t%29%3D3600%281.075%29%5E6%5C%5CA%28t%29%3D3600%281.543%29%5C%5CA%28t%29%3D5555.88)
So, After 6 years the investment is $5555.88
Keywords: Compound Interest formula
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Answer: 32
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Step-by-step explanation:
were the five is how much times you multiply the number by it self
21 rounded to the nearest 10 is 20 :)
option 3
they are corresponding angles and are congruent