Answer:
First, write 80% as 80100. Then write an equivalent ratio that has the answer in the numerator and 200 in the denominator. 100 x 2 is 200, so 80 x 2 will be the answer. 80 x 2 = 160. The answer is $160.
$ 159,744.59 will be in the account after 20 years.
Answer: Option A
<u>Step-by-step explanation:</u>
Need to find out the amount present in the account after 20 years. The formula to find out the future value is,

Here
p : amount deposit monthly =$500
r : rate of interest =
= 0.0275
n : 12(compound monthly)
t : time =20
By substituting all the given datas in the above equation, we get



This can be done in two ways
One method is to check the answer options in both f(x) and g(x) and select the one that matches for both.
The second is to form a quadratic equation and solving as such:
f(x) = g(x)
-x² + 4x + 12 = x + 8
x² - 3x - 4 = 0
(x - 4)(x + 1) = 0
x = 4; x = -1
Only x = 4 is given in the options, so the answer is B
It will cost $115 for 7 hours of music practice
Answer:
Step-by-step explanation:
According to question
α−d+α+α+d=−3ba
3α=−3ba
α=−ba
α2−dd+α2+αd+α2−d2=3a
3α2−d2=3ca
3b2a2−h2=3ca
d2=3b2a2−3ca=3b2−3aca2
α(α2−d2)=−da
−ba(b2a2−(3b2−3aca2))=−da
b(b2−3b2+3aca2)=d
−2b3+3ab=a2d
2b3−3abc+a2d=0
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