1. Substitute the function f(x) into x in g(x)
2. Simply your results in 1. now you have (g o f)(x)
3. Now substitute 6 into your results in 2 to get (g o f)(6)
Using the monthly payment formula, it is found that her down payment should be of $1,419.
<h3>What is the monthly payment formula?</h3>
It is given by:

In which:
- n is the number of payments.
For this problem, the parameters are:
A = 250, r = 0.072, n = 72.
Hence:
r/12 = 0.072/12 = 0.006.
We solve for P to find the total amount of the monthly payments, hence:


0.0171452057P = 250
P = 250/0.0171452057
P = $14,581.
The total payment is of $16,000, hence her down payment should be of:
16000 - 14581 = $1,419.
More can be learned about the monthly payment formula at brainly.com/question/26476748
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Answer:
..
Step-by-step explanation:
a =
⇒ 670
b =
⇒ 301600
c =
⇒ 560
Answer:
The linear speed in which Darlene is traveling is 24.74 miles per hour.
Step-by-step explanation:
The wheel experiments rolling, which is a combination of translation and rotation. The point where linear speed happens is located at geometrical center of the wheel and instantaneous center of rotation is located at the point of contact between wheel and ground. The linear speed (
), measured in inches per second, is defined by following expression:
(1)
Where:
- Radius of the wheel, measured in inches.
- Angular speed, measured in radians per second.
If we know that
and
, then the linear speed, measured in miles per hour, in which Darlene is traveling is:


The linear speed in which Darlene is traveling is 24.74 miles per hour.
Answer:
8 years
Step-by-step explanation:
Compound interest formula

A(t) is the final amount 55000
A_0= 40000, r= 4% = 0.04, for quarterly n=4

divide both sides by 40000


Take ln on both sides

divide both sides by ln(1.01)

Divide both sides by 4
t=8.00108
So it takes 8 years