The formula for the equation of y, the number of units sold as a function of x is y = 0.00625x + 250
<h3>How to illustrate the equation?</h3>
From the information given, when the company spends no money on advertising, it sells 250 units and for each additional $4000 spent, an additional 25 units are sold.
The formula for y will be:
y = (25/4000)x + 250
y = 0.00625x + 250
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Answer:
The area of the circle is 50.24 mm
²
Step-by-step explanation:
To solve this exercise we need to use the area formula of a circle:
a = area
r = radius = 4mm
π = pi = 3.14
a = π * r²
a = 3.14 * (4mm
)²
a = 3.14 * 16mm
²
a = 50.24 mm
²
The area of the circle is 50.24 mm
²
X= 11
If you plug in 1 for X in the equation, you will get:
f(x) =3+8
3+8=11
Hope this helps.
Answer:
f(x) = 26500 * (0.925)^x
It will take 7 years
Step-by-step explanation:
A car with an initial cost of $26,500 depreciates at a rate of 7.5% per year. Write the function that models this situation. Then use your formula to determine when the value of the car will be $15,000 to the nearest year.
To find the formula we will use this formula: f(x) = a * b^x. A is our initial value which in this case is $26500. B is how much the value is increasing or decreasing. In this case it is decreasing by 7.5% per year. Since the car value is decreasing we will subtract 0.075 from 1. This will result in the formula being f(x) = 26500 * (0.925)^x. Now to find the value of the car to the nearest year of when the car will be 15000 we plug 15000 into f(x). 15000 = 26500 * (0.925)^x. First we divide both side by 26500 which will make the equation: 0.56603773584=(0.925)^x. Then we will root 0.56603773584 by 0.925. This will result in x being 7.29968 which is approximately 7 years.
Answer:
2,025
Step-by-step explanation:
Given:
Third term ar² = 45
Seventh term ar⁶ = 3,645
Find:
ar x ar³
Computation:
From 7th term / 3rd term
ar⁶ / ar² = 3,645 / 45
r⁴ = 81
r = 3
So,
ar² = 45
a(3)² = 45
a = 5
So,
ar x ar³
(5)(3) x (5)(3)³
2,025
