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maks197457 [2]
3 years ago
13

April decided to purchase a $12,000 MSRP vehicle at a 5% interest rate for 4 years. The dealership offered her a $1500 cash-back

incentive, which she accepted. If she takes all these factors into consideration, what monthly payment amount can she expect?
Mathematics
2 answers:
Maksim231197 [3]3 years ago
5 0
10,500÷((1−(1+0.05÷12)^(−12×4))÷(0.05
÷12))=241.81
sergey [27]3 years ago
3 0

Answer:

She can expect the monthly payment of $ 241.81 ( approx )

Step-by-step explanation:

Since,

The original price of the vehicle = $ 12,000

After getting $1500 cash-back incentive,

The price of the vehicle, P.V. = $ 12,000 - $ 1,500 = $ 1,050,

Now, the annual rate = 5 % = 0.05,

⇒ The monthly rate, r = \frac{0.05}{12},

Time = 4 years,

⇒ Number of months, n = 4×12 = 48   ( 1 year = 12 months )

Now, the monthly payment would be,

P=\frac{P.V.(r)}{1-(1+r)^{-n}}

=\frac{10500(\frac{5}{1200})}{1-(1+\frac{5}{1200})^{-48}}

=\$241.807582492\approx \$ 241.81

Hence, she can expect the monthly payment of $ 241.81.

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Answer:

D. 3 and -4

Step-by-step explanation:

Given the expression, x² - x - 12, let's factorise to find the value of p and q using the table, for which we would have the expression simplified as (x + p)(x + q)

From the table, let's find the values of p and q that would give us -12 when multiplied together, and would also give us -1 when summed together.

Thus, from the table given, the row containing the values of p(3) and q(-4) gives us = -1 (p+q) . p = 3, q = -4 would be our values to use to factor x² - x - 12, as multiplying both will also give us "-12".

Thus, x² - x - 12 would be factorised or simplified as (x + 3)(x - 4)

Therefore, the answer is: D. 3 and -4

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Answer:

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Step-by-step explanation:

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A school's playground, measuring 33 metres, 43 metres, 50 metres and 25 metres, is enclosed by a chain link fence. How many metr
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What is the solution to this system of equations, and what does it mean to the contractor? The solution (0, 20) tells the contra
oksano4ka [1.4K]

The question is incomplete. Here is the complete question:

A contractor has two choices for billing a completed job.

· $500 flat rate, regardless of the number of hours worked

· $20 per hour worked

The graph shows the relationship between pay per hour and number of hours worked for both scenarios.

What is the solution to this system of equations, and what does it mean to the contractor?

A.The solution (0, 20) tells the contractor the minimum amount that can be charged.

B.The solution (0, 500) tells the contractor the maximum amount that can be charged.

C.The solution (25, 20) tells the contractor the number of hours on a job where the hourly rate is the same for both billing options.

D.The solution (20, 25) tells the contractor the number of hours on a job where the hourly rate is the same for both billing options.

Answer:

The graph is attached below.

C.The solution (25, 20) tells the contractor the number of hours on a job where the hourly rate is the same for both billing options.

Step-by-step explanation:

As per the graph, the x-axis represents the number of hours worked and the y-axis represents the rate in dollars per hour.

The hourly rate is given as $20.

The solution to the given lines drawn on the graph is the point of intersection of the two curves.

As we observe from the graph, the point of intersection of the two curves is at (25,20). The point tells the contractor that when the hourly rate is $20, then the number of hours worked will be 25.

So, when the hourly rate is same for both the billings, then the number of hours worked will be 25.

Hence, the correct option is (C).

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