Answer:
<em>The interest earned is $302.18</em>
Step-by-step explanation:
<u>Compound Interest
</u>
It occurs when the interest is reinvested rather than paying it out. Interest in the next compound period is earned on the principal sum plus previously accumulated interest.
The formula is:
Where:
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
The investment described in the question is of P=$600 at a rate of r=6%=0.06 for t=7 years compounded annually. The compounding period coincides with the time of interest rate, thus n=1.
Applying the formula:
A = $902.18
The interest is:
I = A - P = $902.18 - $600 = $302.18
The interest earned is $302.18
(f o g)(x) is the composition of function where we substitute one function into other function.
So, (f o g)(x) = f( g(x) )
The given functions are f(x) = -8x+6 and g(x) = x³.
So,we need to plug in x³ for g(x) in f(x). Therefore,
(f o g)(x) = f( g(x) )
= f (x³) Replace g(x) with x³.
= -8x³ + 6 Replace x³ with x in f(x).
So, (f o g)(x) = -8x³ + 6.
Answer:
$80 is the 100% original price
The sale price is $56 with 30% off and $24 in savings.
Step-by-step explanation:
We can write a proportion. We know that $24 is a 30% off discount of an unknown original price. Let's call it x. We write equal ratios of comparing percent and comparing the 24 to the original price. We then set them equal.
We then cross multiply across the equal sign from numerator to the opposite numerator.
30(x)=24(100)
30x=2400
We divide to find x.
x=80.
Since we saved $24 as a discount, the sale price would be 80-24=56.
M=3n
divide both sides by 3
M/3=3n/3
on the left hand side, the numerator constant cuts the denominator 3
therefore, n=M/3
Answer:
-21.5
Step-by-step explanation: