Answer:
(fog)(x)=f(g(x))=2(3x+2)−1=6x+4−1=6x+3=3(2x+1)
Answer:
x = 17
Step-by-step explanation:
Direct variation is given by
y = kx where k is the constant of variation
-35 = k*7
-35/7 = k
-5 = k
y = -5x
We know y = -85
-85 = -5x
Divide each side by -5
-85/-5 = x
17 =x
slope=(-16-5)/(-8-18)=21/26
Using simple interest, it is found that $13,872 was loaned at 9%.
<h3>Simple Interest</h3>
The amount of money after t years in simple interest is modeled by:

In which:
- r is the interest rate, as a decimal.
The interest earned is:

A bank loaned out $14000, in two parts, hence:

Part of it at the rate of 9% per year and the rest at 17% per year, hence:

The interest received in one year totaled $2000, hence:

Then:



Isolating
as a function of
, then we can replace on the equation for the first interest.



Then:






$13,872 was loaned at 9%.
To learn more about simple interest, you can take a look at brainly.com/question/25296782