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3 years ago

Make a down payment of $1500 and finance the rest of $20000 at 1.9% interest rate, making equal monthly payments for 5 years.

1 answer:

3 0

We know that we have to make a down payment of $1500 and finance the rest of $20000 at a 1.9% interest rate, making equal monthly payments for 5 years. Our first step to solve this problem would be to convert 5 years into months.

1 year = 12 months

12 * 5 = 60 months

Therefore, in 5 years there are 60 months.

Now lets solve this problem step by step.

Subtract the down payment from $20,000

$20000-$1500=$18500

Multiply the remaining number by the interest rate.

$18500 *1.9 = $35150

Divide 35150 by number of months in 5 years (60)

$35150 / 60 = $585

Therefore, you have to pay $585 per month.

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What is the equation of the line h Th ya has a y intercept of (0,-3) and passes through the point (-9,-9)

Nikolay [14]

Answer:

The line equation is given as: 3 y = 2 x - 9

Step-by-step explanation:

Here, Y intercept is at point ( 0.-3)

So, at x = 0, y = -3

or, C = -3

Also, the point on the equation line is (x,y) = (-9,-9)

Now, by SLOPE INTERCEPT FORM of a line equation,we get:

y = m x + C : m = slope of line ......... (1)

So, substituting the values of C and (x,y) , we get:

-9 = m (-9) + (-3)

or, -9 + 3 = - 9 m

or, m = -6/-9 = 2/3

or, m = 2/3

Now, substitute the value of m back in to the line equation (1)

$y = m x + C \implies y = (\frac{2}{3}) x - 3\\\implies 3y = 2x - 9$

Hence, the line equation is given as: 3 y = 2 x - 9.

5 0

3 years ago

In a recent contest, the mean score was 210 and the standard deviation was 25. a) Find the z-score of John who scored 190 b) Fin

denpristay [2]

Answer:

a) $Z = -0.8$

b) $Z = 2.4$

c) Mary's score was 241.25.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 210, \sigma = 25$

a) Find the z-score of John who scored 190

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

$Z = \frac{190 - 210}{25}$

$Z = -0.8$

b) Find the z-score of Bill who scored 270

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

$Z = \frac{270 - 210}{25}$

$Z = 2.4$

c) If Mary had a score of 1.25, what was Mary’s score?

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

$1.25 = \frac{X - 210}{25}$

$X - 210 = 25*1.25$

$X = 241.25$

Mary's score was 241.25.

3 0

2 years ago

Read 2 more answers

A gas container in the shape of a cone has a height of 12 inches and a maximum diameter of 8 inches. When the container is fille

Nady [450]

Answer:

150.9 cubic inches

Step-by-step explanation:

volume of he gas = volume of a cone x 3/4

Volume of a cone 1/3(nr^2h)

n = 22/7

r = radius

h = height

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

8/2 = 4 inches

1/3 (22/7 x 4^2 x 12) = 201.142857 in^3

volume of the gas = 3/4 x 201.142857 in^3 = 150.9 in^3

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

3 0

2 years ago

ABCD is a rectangle. If AC = 2x + 10 and BD = 56, find the value of x.

TEA [102]

9514 1404 393

Answer:

(b) 23

Step-by-step explanation:

The diagonals of a rectangle are the same length, so ...

AC = BD

2x +10 = 56

x +5 = 28 . . . . . divide by 2

x = 23 . . . . . . . . subtract 5

7 0

2 years ago

If x + y is rational, must x and y each be rational?

In-s [12.5K]

No.

If a rational number can be an integer, x and y could be 5.5 and .5, or something that adds up to (number).0. This means, if the two non-rational numbers add up, they could be irrational, but the result isn't.

8 0

2 years ago