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3 years ago

9

Kyle made a down payment of $850 towards his car loan. He will be paying $415 every month for 24 months. What will the car cost

Kyle in total?

2 answers:

Alenkasestr [34]3 years ago

6 0

I'm pretty sure the car will cost Kyle $10810

adell [148]3 years ago

4 0

Answer:

The car will cost $10810

Step-by-step explanation:

When you make a down payment, you first pay a percentage of the total cost and then you finish paying the rest every month.

So, in this case

Kale pay $850 when he bought the car, and then 24 payments of $415

Cost=$850+(24 x $415)

Cost=$850+$9960

Cost=$10810

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the length of a rectangle is 5 less than twice the width. If the perimeter of the rectangle is 146 centimeters, find the dimensi

d1i1m1o1n [39]

Answer:

26x47

Step-by-step explanation:

To calculate the length of the rectangle we would do 2(2x - 5) + 2(x) = 146

We simplify and get 6x - 10 = 146,

then divide both side by 6 and plus 10 both sides,

we will get

x = 26

Now we've found one of the length,

to find the other side we do 26 * 2 = 52, and subtract 52 from 146,

which would get 94, then we divide it by 2

94/2 = 47

The dimensions is 26x47

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3 years ago

The perimeter of the square at the right is 48 inches. What is the area of the square at the right? Explain how you found your a

velikii [3]

Perimeter of square is 48 inches.
Square has 4 side so one side is 48/4= 12 inches.
Then the area of square is 12*12 = 144 inches^2

8 0

3 years ago

Answer the question to become the brainliest

olya-2409 [2.1K]

Answer:

a) The distance travelled on the cycle in the first 14 seconds is 96 meters.

b) The acceleration in the first 4 seconds is 2 meters per square second.

Step-by-step explanation:

a) The distance travelled by the cycle is equal to the area below the curve, which is the sum of the first triangle and the rectangle:

$\Delta x = \frac{1}{2}\cdot \left(8\,\frac{m}{s} \right) \cdot (4\,s-0\,s)+\left(8\,\frac{m}{s}\right)\cdot (14\,s-4\,s)$

$\Delta x = 16\,m +80\,m$

$\Delta x = 96\,m$

The distance travelled on the cycle in the first 14 seconds is 96 meters.

b) The acceleration is represented by the slope of the line, which is determined by definition of secant line:

$a = \frac{v(4\,s)-v(0\,s)}{4\,s-0\,s}$ (1)

$a = \frac{8\,\frac{m}{s}-0\,\frac{m}{s}}{4\,s-0\,s}$

$a =2\,\frac{m}{s^{2}}$

The acceleration in the first 4 seconds is 2 meters per square second.

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3 years ago

Families USA, a monthly magazine that discusses issues related to health and health costs, survey 19 of its subscribers. It foun

s344n2d4d5 [400]

Answer:

a

$10,151 $< \mu$ $11448.12

b

$n = 158$

Step-by-step explanation:

From the question we are told that

The sample size is n = 19

The sample mean is $\= x =$ $10,800

The standard deviation is $\sigma =$ $1095

The population mean is $\mu =$ $225

Given that the confidence level is 99% the level of significance is mathematically represented as

$\alpha = 100 -99$

$\alpha = 1$ %

=> $\alpha = 0.01$

Now the critical values of $\alpha = Z_{\frac{\alpha }{2} }$ is obtained from the normal distribution table as

$Z_{\frac{0.01}{2} } = 2.58$

The reason we are obtaining values for $\frac{\alpha }{2}$ is because $\alpha$ is the area under the normal distribution curve for both the left and right tail where the 99% interval did not cover while $\frac{\alpha }{2}$ is the area under the normal distribution curve for just one tail and we need the value for one tail in order to calculate the confidence interval

Now the margin of error is obtained as

$MOE = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }$

substituting values

$MOE = 2.58* \frac{1095 }{\sqrt{19} }$

$MOE = 648.12$

The 99% confidence interval for the population mean yearly premium is mathematically represented as

$\= x -MOE < \mu < \= x +MOE$

substituting values

$10800 -648.12 < \mu < 10800 + 648.12$

$10800 -648.12 < \mu < 10800 + 648.12$

$10,151 $< \mu$ $11448.12

The largest sample needed is mathematically evaluated as

$n = [\frac{Z_{\frac{\alpha }{2} } * \sigma }{\mu} ]$

substituting values

$n = [ \frac{ 2.58 * 1095}{225} ]^2$

$n = 158$

6 0

4 years ago

Write the following set in roster form and in set-builder notation.

Vlad1618 [11]

Answer:

Roster Form of M = {-2, -1 , 0, 1}

Set Builder Form of M = {x : x is an integer and -3 < x ≤ 1 }

Step-by-step explanation:

Roster Form: A set is said to be in roster form if each element of the set is written distinctly in the set with commas in between them.

Set Builder Form: A set is said to be in set builder form if all the set elements are represented by describing their properties.

Now, here M is the set of integers that are greater than -3 and less than or equal to 1.

So, by definition of the set forms,

Roster Form of M = {-2, -1 , 0, 1}

Set Builder Form of M = {x : x is an integer and -3 < x ≤ 1 }

4 0

4 years ago