Answer:
The possible values are a = -2.5 or a = 4.5.
Step-by-step explanation:
Composite function:
The composite function of f(x) and g(x) is given by:

In this case:


So

Value of a so that the y-intercept of the graph of the composite function (fog)(x) is (0, 25).
This means that when
. So


Solving a quadratic equation, by Bhaskara:



The possible values are a = -2.5 or a = 4.5.
Answer:
b. No x-intercept y-intercept is (0, -8)
Answer:

Hence, ption B is true.
Step-by-step explanation:
Given the expression

solving the expression

as


so the expression becomes

Group like terms

Add similar elements

Therefore, we conclude that:

Hence, option B is true.
Answer:
- a) P(x) = 32000*1.04^x
- b) $37435
- c) During year 7
Step-by-step explanation:
<u>Given</u>
- Initial pay = $32000
- Increase rate = 4%
a. <u>Formula</u>
b. Year 5 is after 4 years, so we are looking for the value of P(4)
- P(4) = $32000*1.04^4 = $37435
c. <u>P(x) = 40000, x = ?</u>
- 40000 = 32000*1.04^x
- 1.04^x = 40000/32000
- 1.04^x = 1.25
- log 1.04^x = log 1.25
- x = log 1.25 / log 1.04
- x = 5.69, this is 6 years after
The required number of the years is 6 + 1 = 7