Answer:
units.
Step-by-step explanation:
The given functions are:
![f(x)=3x-7](https://tex.z-dn.net/?f=f%28x%29%3D3x-7)
and
![g(x)=3x+8](https://tex.z-dn.net/?f=g%28x%29%3D3x%2B8)
The function
has y-intercept ,
.
The function
has y-intercept, ![8](https://tex.z-dn.net/?f=8)
If we shift the graph of g(x) up to obtain f(x), then the y-intercept must move from
to
.
This means that the graph will move up by;
units.
Answer:
Given: Principal(P) = $ 5000 , T = 3.5 years and R = 5%.
Using the formula of Simple Interest (I) given by;
.......[1] , where P is the Principal amount of money to be invested, R be the rate of interest and T be the time.
Substitute the given values of P , R and T in [1] we have;
![I = \frac{P \times R \times T}{100} = \frac{5000\times 5 \times 3.5}{100}](https://tex.z-dn.net/?f=I%20%3D%20%5Cfrac%7BP%20%5Ctimes%20R%20%5Ctimes%20T%7D%7B100%7D%20%3D%20%5Cfrac%7B5000%5Ctimes%205%20%5Ctimes%203.5%7D%7B100%7D)
![I = 50 \times 5 \times 3.5 = 250 \times 3.5](https://tex.z-dn.net/?f=I%20%3D%2050%20%5Ctimes%205%20%5Ctimes%203.5%20%3D%20250%20%5Ctimes%203.5)
Simplify:
![I = \$ 175](https://tex.z-dn.net/?f=I%20%3D%20%5C%24%20175)
An Ending balance is calculated by subtracting cash outflows, interest paid for financing and principal paid on financing.
Ending Balance = $ 5000 + $ 175 = $ 5,175.
Therefore, the ending balance is $ 5,175
Answer:
f(h(x)) = 2x - 4
Step-by-step explanation:
Substitute x = h(x) into f(x), that is
f(h(x))
= f(2x + 3)
= 2x + 3 - 7
= 2x - 4
If you want your answer in Scientific Notation it would be 4.5*10^11