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GarryVolchara [31]
3 years ago
9

Write an equation below to express the cost (c) as a function of miles (m). The charge for a rental car is $20 plus $0.05 per mi

le.
Mathematics
1 answer:
vfiekz [6]3 years ago
8 0
F(m)=20+0.05m
f(m)=cost(c)
20=initial cost and will be the y-intercept
0.05=the cost per mile and will be the slope
m=the number of miles driven
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Two small circles lie on the diameter of a larger circle as shown. If AB=24cm, what is the approximate area of the shaded region
brilliants [131]

We have been given a diagram where two small circles lie on the diameter of a larger circle. The diameter of the large circle is 24 cm. We are asked to find the approximate area of the shaded region.

Since smaller circles are on diameter of larger circle, so the diameter of both smaller triangles will be half of 24 cm that is \frac{24}{2}=12 cm.

We know that radius is half the diameter, so radius of large circle will be 12 cm and radii of smaller triangles will be half of 12 that is \frac{12}{2}=6 cm.

The area of shaded part will be area of larger circle minus sum of areas of smaller circles.

Area of circle formula: A=\pi r^2

\text{Shaded area}=\pi(12)^2-(\pi(6)^2+\pi(6)^2)

\text{Shaded area}=144\pi-(36\pi+36\pi)

\text{Shaded area}=144\pi-(72\pi)

\text{Shaded area}=72\pi

\text{Shaded area}=72(3.14)

\text{Shaded area}=226.08

Therefore, the area of the shaded region is 226.08 square cm and option A is the correct choice.

3 0
3 years ago
What is the area in square centimeters in trapezoide
maria [59]
\bf \textit{area of a trapezoid}\\\\
A=\cfrac{h(a+b)}{2}~~
\begin{cases}
a,b=\stackrel{bases}{parallel~sides}\\
h=height\\
---------\\
a=8.6\\
b=12.9\\
h=6.4
\end{cases}\implies A=\cfrac{6.4(8.6+12.9)}{2}
\\\\\\
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What's the main reason for geometry
Tanzania [10]
To explain The mathematical basics of shapes and figures.
3 0
3 years ago
Add the following values.<br> (2.1 × 1016) + (3.2 × 1015)
qwelly [4]

Answer:

5381.6

Step-by-step explanation:

(2.1 × 1016) + (3.2 × 1015)

= 5381.6

8 0
3 years ago
Tariq bought a new mazda for $18600. He wants to sell it in some years' time. Using the declining balance method of depreciation
erik [133]

Answer:

  7 years

Step-by-step explanation:

The depreciation rate of 12% using the declining balance method means the car is worth 12% less at the end of the year than it was worth at the beginning. That is, each year the value is multiplied by (1 -12%) = 0.88. So, after n years, the value has been multiplied by 0.88^n.

We want to find n such that ...

  7600 = 18600·0.88^n

  7600/18600 = 0.88^n

  log(76/186) = n·log(0.88)

  log(76/186)/log(0.88) = n ≈ 7.00

It will take 7 years for the value of the car to decline to $7600.

_____

<em>Comment on declining balance depreciation</em>

Often, you will see declining balance depreciation specified in terms of an acceleration factor (often 150% or 200% ("double declining balance")) and a useful life. As with any depreciation, what is depreciated is the difference between the initial value and the salvage value. The percentage rate quoted above is essentially calculated as ...

  (acceleration factor)/(useful life) = depreciation rate per year

One way to get a 12% depreciation rate is using an acceleration factor of 150% and a useful life of 12.5 years (with a salvage value of 0).

6 0
3 years ago
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