You priced buy a car for $26,635, including taxes and license fees. You will pay $7,000 for down payment and will finance the balance of the loan at 6.41% for three years. Compute a) your monthly payment; and b) total interest for the loan.

Answer:

Step-by-step explanation:

a = d before Anna gives away 50 marbles.

5 (a-50) = a +50 after Anna gives away 50 marbles.

5a - 250 = a + 50

4a = 300

a = 75

Anna has 75 marbles at the beginning and so did David.

Together they have 150 marbles.

:)

Answer:

150

Step-by-step explanation:

Originally, they had the same number, so they both had x marbles each.

David: x

Amrita: x

Amrita gives 50 marbles to David. Now they have:

David: x + 50

Amrita: x - 50

"he had 5 times as many marbles as her"

x + 50 = 5(x - 50)

x + 50 = 5x - 250

-4x = -300

x = 75

Each had 75 marbles to start with.

75 + 75 = 150

The total is 150.

Answer:

0.0015

Step-by-step explanation:

don't forget to follow rate like

Answer:

t >± 1.895

t= 0.1705

Step-by-step explanation:

The null and alternative hypotheses are

H0: μd=0 Ha: μd>0

Significance level is set at ∝= 0.05

The critical region for  t  df=7       t >± 1.895

The test statistic under H0 is

t = d/ sd/ √n

Which has t distribution with n-1 degrees of freedom

Employee        After  Before         d = after - before        d²

1                          6         5               1                                  1

2                         6          2               4                               16

3                         7          1                6                               36

4                         7           3              4                               16

5                         4          3              1                                 1

6                         3          6              -3                               9

7                         5          3              2                               4

8                          6        7               -1                                1      

∑                                                    14                              84    

d`= ∑d/n= 14/8= 1.75

sd²= 1/8( 84- 14²/8) = 1/8 ( 84 - 24.5) = 59.5

sd= 7.7136

t= 3/ 7.7136/ √8

t= 0.1705

Since the calculated value of t= 0.1705 < ± 1.895  therefore reject the null hypothesis at 5 % significance level . On the basis of this we cannot conclude that the number of absences has declined.

Answer:

c) 108

Step-by-step explanation:

All angles of a regular polygon are the same.

Answer:

53\(x_{123}\) == 134 cf

Step-by-step explanation:

A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a​

The height of the building is approximately 78.63 meters.

The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.

Therefore, the height of the building is approximately 78.63 meters.

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The given expression is:

It is required to write the expression in factored form.

Next, factor out 3 in the last two terms of the expression:

Factor out the binomial 2x+5 in the expression:

Answer:

it is too blury to read

Step-by-step explanation:

(a) The required sample size is 1.96.

(b) Sample size = n = 89

(c) Sample size = n = 62

What is standard deviation?

The standard deviation in statistics is a measurement of how much a set of values can vary or be dispersed. A low standard deviation suggests that values are typically close to the set's mean, whereas a high standard deviation suggests that values are dispersed over a wider range.

(a) Population standard deviation = σ = 3

Margin of error = E = 0.253

At 95% confidence level the z is,

α = 1 - 95%

α = 1 - 0.95 = 0.05

α/2 = 0.025

Zα/2 = 1.96

sample size = n = [Zα/2* σ / E]^2

n = [1.96 * 3 / 0.253]2

n = 540.14

Sample size = n = 541

b) Population standard deviation = σ = 24

Margin of error = E = 5

sample size = n = [Zα/2* σ/ E] 2

n = [1.96 * 24 / 5]2

n = 88.51

Sample size = n = 89

c) Population standard deviation = σ = 8

Margin of error = E = 2

sample size = n = [Zα/2* σ / E] 2

n = [1.96 * 8 / 2]2

n = 61.46

Sample size = n = 62

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Answer:

x=6

Step-by-step explanation:

Rearrange terms:

8+x=14

x+8=14

Subtract 8 from both sides and simplify.

Given :-

To find :-

Solution :-

8+x = 14

x = 14-8 (Signs change when transferred to opposite side)

x = 6

Answer:

x = 40

Step-by-step explanation:

Sum of interior angle of an n-polygon = (n - 2)*180

The polygon given is pentagon with 5 sides.

Sum of the polygon = (5 - 2)*180 = 540°

Therefore, sum of all its interior angles would be:

5x + 150 + (3x - 30) + 70 + (2x - 50) = 540°

Solve for x

5x + 150 + 3x - 30 + 70 + 2x - 50 = 540

Collect like terms

5x + 3x + 2x + 150 - 30 + 70 - 59 = 540

10x + 140 = 540

10x = 540 - 140 (Subtraction property of equality)

10x = 400

x = 400/10 (division property of equality)

x = 40

The equation of the function in the form y = mx + b, would be y = 5x + 15.

We can start by using the two data points to find the slope of the linear equation:

When x = 5, y = 40

When x = 12, y = 75

Using the slope formula:

slope = (y2 - y1) / (x2 - x1)

slope = (75 - 40) / (12 - 5) = 35 / 7 = 5

To find the y-intercept (b), we can plug in one of the data points:

y = mx + b

40 = 5(5) + b

b = 15

So the y-intercept is 15.

Therefore, the equation of the function in the form y = mx + b is:

y = 5x + 15

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Based on the information, we can infer that the tables are completed as follows: 5, 10, 15, 4, 8.

To complete the table of the ratios we must take into account the information provided in the fragment. According to the above, in box A for every two markers there are 5 pencils and in box B for every three markers there are 4 pencils. Then the ratios would be the following:

Box A

box B

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The fence in dead center is about 399 feet from the third base.

The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side,  is equals to the sum of the squares of the lengths of the other two sides.

Hence the equation for the theorem is given as follows:

c² = a² + b².

In which:

For the triangle in this problem, we have that:

Hence the distance is obtained as follows:

d² + 90² = 409²

\(d = \sqrt{409^2 - 90^2}\)

d = 399 ft.

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Step-by-step explanation:

I can't understand by the sentence

Answer:

83

Step-by-step explanation:

you need to think about the equation and think of the number closest to each number and decide which fits

Answer:

83.6

Step-by-step explanation:

You need to subtract 7.1 from 100, because it's a percentage, to get the resulting percent. Then multiply 90 with the answer you got in percent.

Answer:

2/3

Step-by-step explanation:

use point slope formula: \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)to find the slope.

3-1=2

8-5=3

your slope is 2/3

Answer:

2/3

Step-by-step explanation:

The formula for slope is y2 - y1 over x2 - x1.

If we plug our numbers in we get 3-1=2

and.

8-5= 3

so the answer is 2/3.

The percentages of returns are given as follows:

a. Greater than 33%: 2.28%.

b. Below -37%: 0.13%.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The parameters for this problem are given as follows:

\(\mu = 5, \sigma = 14\)

The proportion above 33% is the one subtracted by the p-value of Z when X = 33, hence:

Z = (33 - 5)/14

Z = 2.

Z = 2 has a p-value of 0.9772.

1 - 0.9772 = 0.0228 = 2.28%.

The proportion below -37% is the p-value of Z when X = -37, hence:

Z = (-37 - 5)/14

Z = -3.

Z = -3 has a p-value of 0.0013.

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Answer:

\(\boxed{\sf \ \ 25 \ \ }\)

Step-by-step explanation:

Hello,

we can see that

\(x^2-10x = x^2-2*5x\)

is the beginning of

\(x^2-2*5x+5^2=(x-5)^2\)

so we must add 5*5=25 to both sides of the equation to make the left side a perfect square trinomial

hope this helps

Answer:

25.

Step-by-step explanation:

To find the value that will make the left side a perfect-square trinomial, you need to find (b/2)^2. In this case, b = -10.

(-10 / 2)^2

= (-5)^2

= (-5) * (-5)

= 25

Once you add 25 to both sides, the left side becomes x^2 - 10x + 25, which is equal to (x - 5)^2.

Hope this helps!

Answer:

0.25..........................................................

.

Answer: 8.6?

Step-by-step explanation:

It takes 8 hours, for Jim to rake the yard alone.

Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.

Given:

Jim and Cara, working together, can rake the yard in 6 hours.

Working alone, Cara takes three times as long as Jim.

Let x be the amount of time it takes Jim to rake the yard alone.

His work rate is 1/x.

So, Cara takes 3x.

Cara's work rate is 1/3x.

According to the question,

1/x + 1/3x = 1/6

6 + 2 = x

x = 8.

Therefore, Jim takes 8 hours.

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Answer:5

Step-by-step explanation:

Answer:

Answer: 180 highway miles at 36 mpg (5 gals); 217 city miles at 31 mpg (7 gals).

Step-by-step explanation:

Answer: 37-07

Step-by-step explanation:

Answer:

I got the same question rn

Step-by-step explanation:

What did you end up with for the answer?

Answer:

tbh idek wth that is

Step-by-step explanation:

Answer:

Step-by-step explanation:

44.5

The value of the function (w · u)(2) and (u · w)(2) is 27.

Function is a type of relation, or rule, that maps one input to specific single output.

We have been given two function as;

u(x) = x² + 5

w(x) = √(x + 7)

We need to find the value of (w · u)(2)

(w · u)(2) = (√(2 + 7))((2)² + 5)

(w · u)(2)  = (√(9))(4 + 5)

(w · u)(2)  = (3)(9)

(w · u)(2) = 27

Similarly we need to find (u · w)(2)

(u · w)(2) = ((2)² + 5)(√(2 + 7))

(u · w)(2) = (4+ 5)(√(9))

(u · w)(2)  = (9)(3)

(u · w)(2)  = 27

The value of the function (w · u)(2) and (u · w)(2) is 27.

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The correct statement regarding the roots of unity is given as follows:

C. 1 is always the nth root of unit.

The roots of unity are the solutions to the following expression:

\(x^n - 1 = 0\)

The solution is then given as follows:

\(x^n = 1\)

\(x = \sqrt[n}{1}\)

\(x = 1\)

As the nth root of 1 is always 1, no matter the number(different of zero), we have that option c is the correct option for this problem.

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Explanation:

The formula for calculating the distance between two points is: d = √ ( x 2 − x 1 ) 2 + ( y 2 -y 1 ) 2  Substituting the points from the problem gives: d = √ ( 0 − 5 ) 2 + ( 4 − 1 ) 2   d = √ ( − 5 ) 2 + ( 3 ) 2 d = √ 25 9 d = √ 34 Or d =3 5.8 rounded to the nearest hundredth.