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STALIN [3.7K]
3 years ago
8

The monthly payment for a car lease is $300 for 24 months. The down payment is $1,000. The residual value is $9,000. What is the

total cost of the lease? A. 17,200. B. 40,700. C. 8,200
Mathematics
2 answers:
elena55 [62]3 years ago
8 0
The total cost of the lease would be $17,200. This is because $300 payment for 24 months is equal to $7,200 + $1,000 (down payment) and + the residual value of $9,000 = $17,200.
Archy [21]3 years ago
5 0

Answer:

Option C - 8,200

Step-by-step explanation:

Given : The monthly payment for a car lease is $300 for 24 months. The down payment is $1,000. The residual value is $9,000.

To find : What is the total cost of the lease?          

Solution :

Total cost of the lease is the monthly payment times the number of months adding down payment.      

Monthly payment M=$300

Number of months n=24 months

Down payment  D=$1000          

\text{Total cost of lease}=M\times n+D    

\text{Total cost of lease}=300\times 24+1000  

\text{Total cost of lease}=7200+1000  

\text{Total cost of lease}=8200  

Therefore, Option C is correct.

The total cost of the lease is $8200.

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What is the inverse of y= 10^x +8?
shepuryov [24]

Answer:

x = \log_{10}(y - 8), where y > 8.

Step-by-step explanation:

The question is asking for an expression for x in terms of y.

The first step is to move as many constants away from the side with x as possible. In this question, that could be done by subtracting 8 from both sides of the equation.

y - 8 = 10^{x} + 8 - 8.

y - 8 = 10^{x}.

Notice how x is in the position of an exponent. Logarithms could help move x out of that position.

For any base b > 0:

\log_{b} b^{x} = x\, \log_{b}\, b = x.

In this question, 10 would be the base. That is: b = 10.

Take the logarithm (with 10 as the base) of both sides of the equation y - 8 = 10^{x}:

  • Left-hand side: \log_{10} (y - 8).
  • Right-hand side: \log_{10} \left(10^{x}\right) = x\, \log_{10}\left(10\right) = x.

Equate both sides to find an expression for x:

x = \log_{10}(y - 8).

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3 years ago
NEED HELP Solve.<br>y=2x-6<br>4x-2y=14<br>​
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Answer:

No solution

Step-by-step explanation:

Replace occurrences of y in 4x - 2y = 14 with 2x - 6

y = 2x - 6

4x - 2 (2x - 6) = 14

Simplify left side

y = 2x - 6

12 = 14

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Percent of decrease of 120 to 52
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2 years ago
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21m. what is the volume of the sphere.​
Goshia [24]

Answer:

The volume of the sphere is 14m³

Step-by-step explanation:

Given

Volume of the cylinder = 21m^3

Required

Volume of the sphere

Given that the volume of the cylinder is 21, the first step is to solve for the radius of the cylinder;

<em>Using the volume formula of a cylinder</em>

The formula goes thus

V = \pi r^2h

Substitute 21 for V; this gives

21 = \pi r^2h

Divide both sides by h

\frac{21}{h} = \frac{\pi r^2h}{h}

\frac{21}{h} = \pi r^2

The next step is to solve for the volume of the sphere using the following formula;

V = \frac{4}{3}\pi r^3

Divide both sides by r

\frac{V}{r} = \frac{4}{3r}\pi r^3

Expand Expression

\frac{V}{r} = \frac{4}{3}\pi r^2

Substitute \frac{21}{h} = \pi r^2

\frac{V}{r} = \frac{4}{3} * \frac{21}{h}

\frac{V}{r} = \frac{84}{3h}

\frac{V}{r} = \frac{28}{h}

Multiply both sided by r

r * \frac{V}{r} = \frac{28}{h} * r

V = \frac{28r}{h} ------ equation 1

From the question, we were given that the height of the cylinder and the sphere have equal value;

This implies that the height of the cylinder equals the diameter of the sphere. In other words

h = D , where D represents diameter of the sphere

Recall that D = 2r

So, h = D = 2r

h = 2r

Substitute 2r for h in equation 1

V = \frac{28r}{2r}

V = \frac{28}{2}

V = 14

Hence, the volume of the sphere is 14m³

4 0
3 years ago
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