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.
P = 2(L + W)
P = 200
L = W + 80
200 = 2(W + 80 + W)
200 = 2(2W + 80)
200 = 4W + 160
200 - 160 = 4W
40 = 4W
40/4 = W
10 = W.........the width is 10 yds
Lots of red herrings in this question! The beacon is circular, so you need to find the area of a circle with a diameter of 36 inches.
Area of a circle = pi x radius^2
remember radius is half the diameter!
Answer:
B 7feet
Step-by-step explanation:
Side a = 24
Side b = 25
Side c = 7
Angle ∠A = 73.74° = 73°44'23" = 1.287 rad
Angle ∠B = 90° = 1.5708 rad = π/2
Angle ∠C = 16.26° = 16°15'37" = 0.28379 rad
C=16.26°B=90°A=73.74°b=25a=24c=7
Area = 84
Perimeter p = 56
Semiperimeter s = 28
Height ha = 7
Height hb = 6.72
Height hc = 24
Answer:
a₄ = 1.25
Step-by-step explanation:
Given that,
First term of GP, a₁ = 10
The common ration of GP, r = 0.5
The nth term of the GP is given by :
So, the fourth term of the GP is 1.25.
