Answer:
Future Value = $ 12528.15
Step-by-step explanation:
The depreciation is applied to the car annually. The value of the car after depreciation in "n" no. of years can be given by the following formula:

where,
Future Value = ?
Present Value = $ 24000
Depreciation Rate = 15% = 0.15
n = no. of years = 4
Therefore,

<u>Future Value = $ 12528.15</u>
Answer:
<h3>5 seccs</h3>
Step-by-step explanation:
Given the modeled function of the height expressed as;
h(t)=-16t^2+64t+80
The ball hits the ground when h(t) = 0 (when the height is zero)
Substitute into the function and find t;
0 =-16t^2+64t+80
divide through by -16
0 = t²-4t-5
Factorize;
t²-4t-5 = 0
t²-5t+t-5 = 0
t(t-5)+1(t-5) = 0
(t+1)(t-5) = 0
t + 1 = 0 and t-5 = 0
t = -1 and t = 5
Time can't be negative
Hence it will take the ball 5secs before it hits the ground
Answer:
(x, y) = (-9, -1)
Step-by-step explanation:
Start by graphing two equations on the graph through the y-intercept and the slope.
Since they have different slope, they would intercept somewhere on the graph, which you can see clearly where they intercept from the drawing I included below.
*sorry for the terrible drawing
In Middle School math, it means to find out what number ' x ' must be in order for the equation to be a true statement. In middle school, it can only be one number.
Answer:
15.71 ft
Step-by-step explanation:
Given that:
width of the circular track = 2.5ft
Suppose the radius of the inner circle is 57 ft since it is not given
Then the radius of the outer circle = (2.5 + 57) ft = 59.5 ft
The circumference of a circle = 2πr
For inner circle now, the circumference = 2 × π × 57 ft
For inner circle now, the circumference = 358.14 ft
For the outer circle, the circumference = 2 × π × 59.5 ft
For the outer circle, the circumference = 373.85 ft
The difference between the circumference of the outer wheel from the inner wheel shows how farther does a wheel on the outer rail travel than a wheel on the inner rail of the track in one turn
∴
= ( 373.85 - 358.14 ) ft
= 15.71 ft