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Car dealerships claim to make most of their money from servicing cars. In a certain month, an Acura dealership sold fifteen less

MA_775_DIABLO [31]

Answer:

New cars sold = 20,

Used cars sold = 25

Cars serviced = 290

Step-by-step explanation:

In a month they sold fifteen less used cars than twice the number of new cars.

Lets say 'x' number of new cars were sold, then:

The number of used car sold is:

$2\times x-15=2x-15$

In the same month they serviced fifty more than twelve times the number of new cars sold. So the number of cars serviced is:

$12\times x+50=12x+50$

Altogether they sold or serviced 335 cars, so the sum of all the cars sold and serviced should be 335:

$x+(2x-15)+(12x+15)=335$

Solving for 'x' we get:

$x+2x+12x-15+50=335$

$15x+35=335$

$15x=335-35=300$

$x=\frac{300}{15}=20$

Therefore, the number of new cars sold in that month is 20.

Number of used car sold $=2x-15=2\times 20-15=40-15=25$

Number of cars serviced $=12\times x+50=12\times20+50=240+50=290$

We can also cross check by summing them up:

$290+25+20=335$

8 0

3 years ago

(Please show step by step workings)

matrenka [14]

Answer:

a. They will need $90,000.00 for the down payment

b. The mortgage amount (principal) will be $360,000.00

c. The monthly principal payment will be $1,500,00

The monthly interest payment will be $634.40

d. The total interest they will pay: $152,256.00

Step-by-step explanation:

house price= $450,000

down payment = 20%

20-year mortgage

Interest rate= 3.75%

a. How much they will need for the down payment?

The down payment (DoP) is 20% of the house price

DoP= 20% de $450,000

DoP= 0.20*450,000

DoP= $90,000

b. What will be the mortagage amount (the principal)?

The mortgage amount (MoA) (principal) is the difference between the house price and the down payment.

MoA= $450,000 - $90,000

MoA= $360,000

c. How much will their monthly payment be for the principal and interest?

This equation represents the monthly payment (M):

$M=P \frac{r(1+r)^{n} }{(1+r)^{n}-1}$

where

P= the principal = $360,000

r= monthly interest rate = 3,75% divided by 12 = 0,31%

n= number of payments = 20 years multiplied by 12 months = 240

Let´s input these data into the equation:

$M= 360,000\frac{0.0031(1+0.0031)^{240} }{(1+0.0031)^{240} -1}$

$M= 360,000\frac{0.0031(1.0031)^{240} }{(1.0031)^{240} -1}$

Solving the equation:

M= $2,134.40

the principal component of this M would be

$360,000 divided by the 240 months

So, the principal component of M = $1,500.00

And the interest component of M is the difference

$2,134.40 - $1,500.00

So, the interest component of M = $634.40

d. How much total interest will they pay if they take the full 20 years to pay off the mortgage?

With every payment, they will be paying:

$634.40 per month, multiplied by 240 months

The total interest will be $152,256.00

5 0

3 years ago

Answer: is Answer: is Y=2<br><br> bc its on the Y axis so you go up two

nevsk [136]

Answer:

wait hol up what

Step-by-step explanation:

but let's talk here :D

7 0

3 years ago

A set of mathematics exam scores are normally distributed with a mean of 80.280.280, point, 2 points and a standard deviation of

hichkok12 [17]

Answer:

0.3745

Step-by-step explanation:

Data

mean ( $\mu$ ): 80

standard deviation ( $\sigma$ ): 4

Normal distribution table is in figure attached .

$Z = \frac{x - \mu}{\sigma
}$

Z = (85 - 80)/4 = 1.25

Area below curve = 0.3944

Z = (82 - 80)/4 = 0.5

Area below curve = 0.0199

Proportion of exam scores between 82 and 85?

0.3944 - 0.0199 = 0.3745

5 0

3 years ago

Read 2 more answers

Solve x2 + 6x = 7 by completing the square. Which is the solution set of the equation?

Pavel [41]

X^2 + 6x = 7
Divide 6 by 2 and square the result and add to both sides of the equation.
6/2 = 3 3^2 = 9 x^2 + 6x + 9 = 7 + 9
x^2 + 6x + 9 = 16
(x+3)^2 = 16
x+3 = +- Sqrt 16) = +-4
x = -3+4 = 1
x = -3-4 = -7

3 0

3 years ago