Answer: C) 10x + 25
<u>Step-by-step explanation:</u>
f(x) = <u> 2x + 5 </u>, g(x) = <u> 5 </u>
(fg)(x) = (2x + 5) * 5
= 10x + 25
I would the answer to x is 12
An exponential model can be described by the function

where: a is the initial population or the starting number, b is the base and x is the number of periods elapsed.
When the base of an exponential model is greater than 1 it is called a growth factor, but when it is less than 1 it is called a decay factor.
Given the exponential model

n is the final output of the exponential model, 20.5 is the starting number, 0.6394 is the base and t is the number of periods/time elapsed.
Here, the base is 0.6394 which is less than 1, hence a decay factor.
Therefore, <span>the
base, b, of the exponential model is 0.6394; It is a
decay factor.</span>
Answer:
their current cash flow is negative since their expenses are higher than their income:
- monthly net income = $56,000 / 12 = $4,667
- monthly expenses = $1,500 + $3,500 = $5,000
- monthly cash flow = ($333)
they have 3 options:
- Option 1 (which I personally dislike) is that Neil contributes $4,000 less per year to his retirement account in order to balance their net income and expenses. The problem is that once he retires, his income will be much lower.
- Option 2 is that they lower their expenses a little bit, only enough to balance their cash flows.
- Option 3 is that Nancy gets a part time job, maybe a couple of hours per day which will allow her to earn money that can be used to cover some expenses.
Personally I believe that option 2 is the best, but if they definitely cannot lower their monthly expenses, then option 3 would probably fit them.
Answer:he would arrive 0.2 miles faster.
Step-by-step explanation:
Distance = speed × time
Time = distance/speed
William cycles at a sped of 15 miles per hour. He cycles 12 miles from home to school. This means that the time it takes William to get to school from home would be
12/15 = 0.8 hours
If he increases his cycling speed by 5 miles per hour, his new speed becomes
15 + 5 = 20 miles per hour
Therefore, the new time it takes William to get to school from home would be
12/20 = 0.6 hours
The difference in both times is
0.8 - 0.6 = 0.2 hours
Therefore, he would arrive 0.2 miles faster.