To model this situation, we are going to use the exponential function:

where

is the initial number of cars

is the growing rate in decimal form

is number of tames the growing rate is increasing per year

is the time in years
To convert the growing rate to decimal form, we are going to divide the rate by 100%


Since the growing rate is increasing quarterly,

. We also know that the initial number of cars is 920, so

. Lets replace all those values in our function:



We can conclude that:
Rate ---------> The quarterly rate of growth is 0.03 or 3%
Exponent --------> The compound periods multiplied by the number of years is 4t
Coefficient--------> The initial number of cars serviced is 920
Base------> The growth factor is represented by 1.03
Answer:
√71
Step-by-step explanation:
Simplify 42÷6 to 7
√64+7
Simplify 64+7 to 71
=√71
Answer:
- Length = 43 inches
- Width = 12 inches
Step-by-step explanation:
Perimeter of a rectangle = 2 * ( L + W)
The length of a rectangle is 5 inches less than 4 times the width.
Assume the width is x. Length is:
4x - 5
Equation is therefore:
2 * (4x - 5 + x) = 110
4x - 5 + x = 110/2
5x - 5 = 55
5x = 55 + 5
x = 60/5
x = 12 inches
If width is 12 inches, then length is:
= 4x - 5
= 4 * 12 -5
= 43 inches
All will apply except for (A, C, and E) because those lengths are less than 4/6. So (B, D and F) are the correct answers.
Answer:
B. Infinitely Many
Step-by-step explanation:
Step 1: Distribute
5x + 48 + 7x = 12x + 48
Step 2: Combine like terms
12x + 148 = 12x + 48
If the 2 lines are the same, which they are, they are the same lines. That means there are an infinite amount of solutions. If they had the same slope but different y-intercepts, there would be no solutions because the lines are parallel. Any other pair of equations would have 1 solution.