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kow [346]
3 years ago
8

Please help me with my assignment ​

Mathematics
1 answer:
jeka57 [31]3 years ago
3 0
-50 and +50

Not 100% sure
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An equation for the depreciation of a car is given by y = A(1 – r)t , where y = current value of the car, A = original cost, r =
avanturin [10]

Answer:

D

Step-by-step explanation:

We know that the equation for the depreciation of the car is:

y=A(1-r)^t

Where y is the current cost, A is the original cost, r is the rate of depreciation, and t is the time, in years.

We are told that the value of the car now is half of what it originally cost. So:

y=\frac{1}{2}A

Substitute this for y:

\frac{1}{2}A=A(1-r)^t

We also know that the rate of depreciation is 10% or 0.1. Substitute 0.1 for r:

\frac{1}{2}A=A(1-0.1)^t

So, let's solve for t. Divide both sides by A:

\frac{1}{2}=(1-0.1)^t

Subtract within the parentheses:

\frac{1}{2}=(0.9)^t

Take the natural log of both sides:

\ln(\frac{1}{2})=\ln((0.9)^t})

Using the properties of logarithms, we can move the t to the front:

\ln(\frac{1}{2})=t\ln(0.9)

Divide both sides by ln(0.9):

t=\frac{\ln(\frac{1}{2})}{\ln(0.9)}

Use a calculator. So, the car is approximately:

t\approx6.6\text{ years old}

Our answer is D.

And we're done!

7 0
3 years ago
Find the length of the arc intercepted by an angle of 36 in a circle with radius 12 inches
Gre4nikov [31]
Answer Choices please??

8 0
3 years ago
The vertices of quadrilateral MNPQ are M(−3,−2),N(−1,4),P(2,4), and Q(4,−2). Translate quadrilateral MNPQ using the vector ⟨3,−4
muminat

Answer:

see explanation

Step-by-step explanation:

A translation using the vector < 3, - 4 > , means

Add 3 to the x- coordinate and subtract 4 from the y- coordinate, so

M (- 3, - 2 ) → M' (- 3 + 3, - 2 - 4 ) → M' (0, - 6 )

N (- 1, 4 ) → N' (- 1 + 3, 4 - 4 ) → N' (2, 0 )

P (2, 4 ) → P' (2 + 3, 4 - 4 ) → P' (5, 0 )

Q (4, - 2 ) → Q' (4 + 3, - 2 - 4 ) → (7, - 6 )

4 0
3 years ago
If the scale factor of figure a to figure b is 7:2 find the perimeter of figure a whenever the perimeter of figure b is 35
Svetllana [295]

a        7           P

        -------= --------

b        2              35


Using cross products

7*35 = P*2

P = 7*35/2

P = 122.5

3 0
3 years ago
Read 2 more answers
Jason has two bags with 6 tiles each what are the chances that he draws a 2 and a 3 with 1 through 6 tiles
liubo4ka [24]
He has a 1/6 chance.
if there are two of 1-6 tiles each in separate bags, he has a chance (total) of 2/12 of getting a 2 and a . simplify the 2/12 to 1/6 and that is your answer.
(i hope D:)
3 0
4 years ago
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