Jordan is buying a car. She will borrow $19,000 at a simple interest rate of 6% for 7 years. How much interest will she pay?

The values of x, y and z for the right triangle are: x = √6, y = 3, and z = √10 respectively.

The perpendicular height of the right triangle divides the triangle in two triangles with the same proportions as the original triangle.

√15/(y + 2) = y/√15 {opposite/adjacent}

y(y + 2) = (√15)² {cross multiplication}

y² + 2y = 15

y² + 2y - 15 = 0

by factorization;

(y - 3)(y + 5) = 0

y = 3 or y = -5

by Pythagoras rule:

(√15)² = x² + y²

15 = x² + 3²

x = √(15 - 9)

x = √6

z² = (√6)² + 2²

z = √(6 + 4)

z = √10

Therefore, the values of x, y and z for the right triangle are: x = √6, y = 3, and z = √10 respectively.

Read more about right triangle here:https://brainly.com/question/2920412

#SPJ1

Answer:

B) 70°

because DE and BC are parallel

Step-by-step explanation:

brainliest plz

a. Length of AB = 7 units

Length of CDS = 3 units

Line segment AB and line segment CD are not congruent.

b. Length of AB = 7 units

Length of CD = 7 units

Line segment AB and line segment CD are congruent.

c. Length of AB = 9 units

Length of CD = 7 units

Line segment AB and line segment CD are not congruent.

Given two points on a coordinate plane, where the two points are on a horizontal or vertical line, the distance between the two points is the absolute difference between their coordinates.

a. Given:

A(10, -4)

B(3, -4)

C(-1, 2)

D(-1, 5)

Length of AB = |10 - 3| = |7|

Length of AB = 7 units

Length of CD = |5 - 2| = |3|

Length of CDS = 3 units

Line segment AB and line segment CD are not congruent.

b. Given:

A(-5, 6)

B(-5, -1)

C(-4, 3)

D(3, 3)

Length of AB = |6 - (-1)| = |7|

Length of AB = 7 units

Length of CD = |-4 - 3| = |-7|

Length of CD = 7 units

Line segment AB and line segment CD are congruent.

c. Given:

A(8, 3)

B(-1, 3)

C(5, 10)

D(5, 3)

Length of AB = |8 - (-1)| = |9|

Length of AB = 9 units

Length of CD = |10 - 3| = |7|

Length of CD = 7 units

Line segment AB and line segment CD are not congruent.

Learn more about the length of a segment on:

https://brainly.com/question/3337215

#SPJ1

There is not enough evidence to support the policymaker's claim.

Given that:

p = 0.6

n = 230 and x = 136

So, \(\hat{p}\) = 136/230 = 0.5913

(a) The null and alternative hypotheses are:

H₀ : p = 0.6

H₁ : p < 0.6

(b) The type of test statistic to be used is the z-test.

(c) The test statistic is:

z = \(\frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n} } }\)

  = \(\frac{0.5913-0.6}{\sqrt{\frac{0.6(1-0.6)}{230} } }\)

  = -0.26919

(d) From the table value of z,

p-value = 0.3936 ≈ 0.394

(e) Here, the p-value is greater than the significance level, do not reject H₀.

So, there is no evidence to support the claim of the policyholder.

Learn more about the p-value Approach here :

https://brainly.com/question/14651114

#SPJ4

The complete question is given below:

The proportion, p, of residents in a community who recycle has traditionally been 60%. A policymaker claims that the proportion is less than 60% now that one of the recycling centers has been relocated. If 136 out of a random sample of 230 residents in the community said they recycle, is there enough evidence to support the policymaker's claim at the 0.10 level of significance?

Answer:

20x-12

Step-by-step explanation:

distribute

Based on the given information, the chi-square value calculated from 8 samples is 0.153. To determine the validity of the factory's claim regarding the standard deviation of the sound absorption panels

To determine the critical region for the chi-square test, we need to consult the chi-square distribution table or a statistical calculator with the specified significance level. In this case, a significant level of 0.1 is used. Since it is not mentioned whether this is a one-tailed or two-tailed test, we consider the critical values for a two-tailed test.

For a chi-square distribution with 8 degrees of freedom and a significance level of 0.1, the critical values are found to be 2.167 and 14.067. The critical region for a two-tailed test is x2 < 2.167 or x2 > 14.067.

Given that the calculated chi-square value from the 8 samples is 0.153, which falls within the non-critical region, we do not have sufficient evidence to reject the factory's claim. Therefore, the statement "The claims by the factory are true" is the correct option. It is important to note that this test is not a testing of the mean, as stated in option d.

Learn more about values here:

https://brainly.com/question/30760879

#SPJ11

The amount of the annuity, which consists of 24 monthly payments of $500 each, compounded monthly at an interest rate of 8% per year ≈ $12,799.22.

To calculate the amount of an annuity that consists of 24 monthly payments of $500 each, compounded monthly at an interest rate of 8% per year, we can use the formula for the future value of an annuity:

FV = P * [(1 + r)^n - 1] / r

Where:

FV is the future value of the annuity,

P is the monthly payment amount,

r is the monthly interest rate, and

n is the total number of payments.

In this case:

P = $500,

r = 8% / 12 = 0.08 / 12 = 0.00667 (monthly interest rate), and

n = 24 (total number of payments).

Plugging in these values, we have:

FV = 500 * [(1 + 0.00667)^24 - 1] / 0.00667

Using a calculator or software, we can calculate the value of FV:

FV ≈ 500 * (1.00667^24 - 1) / 0.00667 ≈ $12,799.22

To know more about annuity refer here:

https://brainly.com/question/32669843#

#SPJ11

Part (a)

x and y are nonnegative whole numbers.

3x represents the total weight of all the bass, since one bass weighs 3 pounds. Similarly, 2y is the total weight of the trout with each one being 2 pounds.  Adding up all the weight of all the fish, we get 3x+2y. This is set equal to 34 pounds which is the total stated weight caught.

In short, we end up with the equation 3x+2y = 34

Now onto the second equation. The expression 5x represents how many points Pat gets from catching x bass, because he gets 5 points per bass. Then we subtract off 2y to represent Pat losing 2 points per trout he catches. Overall, his point total is 5x-2y. This is set equal to his point total of 14.

The second equation is 5x-2y = 14

------------

Answer:

3x+2y = 34

5x-2y = 14

Both equations are needed to form this particular system.

===================================================

Part (b)

We could use a number of methods to solve for (x,y). Possibly the most efficient is elimination. Why? Because note how we have 2y up top and -2y down below. They add to 0y which is just 0. The y terms go away, and are eliminated. Afterward, all we're left with is x in which we can solve for just like any other single variable equation. More info is in part (c).

===================================================

Part (c)

Refer to the answer in part (a). We'll add straight down. So that means we have these three sets of addition operations.

After those three sets of addition operations, we're left with the much simpler equation 8x = 48. To solve this, we divide both sides by 8 and we get x = 6. This says Pat caught 6 bass.

Use this value of x to find y. So we'll plug x = 6 into either equation involving x,y and solve for y

3x+2y = 34

3(6)+2y = 34

18+2y = 34

2y = 34-18

2y = 16

y = 16/2

y = 8

So we can see that Pat caught 8 trout as well.

The check portion is shown in the attached image below. Effectively, all we're doing is replacing x and y with 6 and 8 respectively. Then we're simplifying both sides. Getting the same number on both sides results in a true equation, and therefore verifies we have the correct (x,y) solution.

Solution: (x,y) = (6,8)

Interpretation: Pat caught 6 bass and 8 trout

Explanation:

Both functions are lines. The equation of a line in slope-intercept form is:

Where m is the slope and b is the y-intercept.

For function f(x) the slope is 1/2 and the y-intercept is -1.

For function g(x) the slope is 3/2 and the y-intercept is -3.

It is clear that the slope of function g(x) is three times the slope of function f(x). Also, the y-intercept of g(x) is three times the y-intercept of f(x). Therefore the constant k is 3

Answer:

k = 3

Answer:

Option A

Step-by-step explanation:

C and D are scattered showing no pattern, Therefore, it is either A or B. I say it's not B due the the fact more studying minutes made even less test grades. So A is the only option left.

Answer:

Please dont delete

Explanation:

Hello. I am sorry that I can not answer your question but I am doing this so I can get answers of my own. I appreciate your understanding and I hope you get your answer soon. Good luck!

The width of the original piece of sheet metal is (w^2 - l^2)/(3w + 3l), and the length is (l^2 - w^2)/(3w + 3l).

To solve this problem, we can use the formula for the volume of a rectangular box, which is V = lwh, where l is the length, w is the width, and h is the height.

First, let's find the height of the box. Since we cut squares from each corner, the height of the box is the length of the square that was cut out. Let's call this length x.

The width of the box is the original width minus the lengths of the two squares that were cut out, which is w - 2x.

Similarly, the length of the box is the original length minus the lengths of the two squares that were cut out, which is l - 2x.

Now we can write the volume of the box in terms of x, w, and l:

V = (w - 2x)(l - 2x)(x)

Expanding this expression, we get:

V = x(4wl - 4wx - 4lx + 8x^2)

Simplifying further:

V = 4x^3 - 4wx^2 - 4lx^2 + 4wlx

To find the dimensions of the original piece of sheet metal, we need to maximize this volume. We can do this by taking the derivative of the volume with respect to x and setting it equal to zero:

dV/dx = 12x^2 - 8wx - 8lx + 4wl = 0

Solving for x, we get:

x = (2wl)/(3w + 3l)

Now we can use this value of x to find the width and length of the original piece of sheet metal:

w - 2x = w - 2(2wl)/(3w + 3l) = (w^2 - l^2)/(3w + 3l)

l - 2x = l - 2(2wl)/(3w + 3l) = (l^2 - w^2)/(3w + 3l)

Know more about volume of a rectangle here:

https://brainly.com/question/21308574

#SPJ11

Answer:

Im pretty sure it's $39

Step-by-step explanation:

if x=0 it cancels out leaving y=39

\(\sf\purple{Mutual \:funds}\) collect money from investors, create capital, and offer various investment options.

\(\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘\)

Half the numbers on the die are even so you have a 1/2 probability of getting an even number. There is also. 1/2 probability of getting heads on a coin flip.

To find the probability of both happening, multiply the probability of each together:

1/2 x 1/2 = 1/4

The probability of getting an even number and heads is 1/4

To determine the amount of social security tax was paid we need to calculate how much is 7.65% of $815,600. For that we will convert the percentage to a fraction and multiply it by the total amount of gross wages. This is done below:

Since the tax was paid by the employees and employer we need to multiply it by 2.

The total amount paid was $124786.80.

The circumference of a circle of radius 5.7 cm is given as follows:

A. 11.4π cm

The circumference of a circle of radius r is given by the equation presented as follows:

C = 2πr.

The radius for this problem is given as follows:

r = 5.7 cm.

Hence the circumference of the circle is given as follows:

C = 2 x π x 5.7

C = 11.4 cm.

Meaning that option A is the correct option.

More can be learned about the circumference of a circle at brainly.com/question/12823137

#SPJ1

Answer:

x + y = 10

15x + 10y = 120

Step-by-step explanation:

The khakis and polos have to be added up to equal 10 like this: x + y = 10

Since it costs $15 for every khaki, multiply x by 15 like this: 15x

Since it cost $10 for every polo, multiply y by 10 like this: 10y

These all add up to $120, meaning we add up 15x and 10y to equal 120

15x + 10y = 120

After enlargement, the new photo would be 16 times larger. The answer is C: 16.

An enlargement can be described as a type of dilation in transformation which involves increasing the dimensions of an original image by a given scale factor, so that the new image is similar to the original image. Their sizes would be different while their shapes remain the same. Also, the ratio of their corresponding dimensions would be the same.

Given the following:

Dimension of original photo = 6 inches by 8 inches

Scale factor = 4

To find the new dimensions of the new photo, multiply the corresponding dimensions of the original photo by 4, thus:

6 × 4 = 24 inches

8 × 4 = 32 inches

New dimensions = 24 by 32

Area of original photo = 6 × 8 = 48 in.²

Area of new photo = 24 × 32 = 768 in.²

768/48 = 16

This means that the new photo is 16 times larger than the original photo.

The answer is: C. 16.

Learn more about the enlargement on:

https://brainly.com/question/16838059

#SPJ1

Answer:

I belive that you are trying to find the value of x.

Since we know that angle STR is equal to 90 degrees and we know that angle ATR is equal to 25 degrees. We can subtract 25 from 90 or angle ATR from STR and we get that x equals 65.

Step-by-step explanation:

Answer:

Step-by-step explanation:

y=10

Answer:

       \(\frac{2}{7}\)

Step-by-step explanation:

3.5 = \(\frac{7}{2}\)

swap the numerator and denominator (flip the fraction):

reciprocal of \(\frac{7}{2}\) is \(\frac{2}{7}\)

Answer:

x < -5 or x >= 6

Step-by-step explanation:

4x + 6 < -14 < subtract 6 and divide by 4 to isolate x.

x < -5

or

2x + 2 >= 14 subtract 2 and divide by 2 to isolate x

x >= 6

The average rate of change of g(x) over the interval 1 ≤ x ≤ 5
is 10.

The average rate of change of a function over an interval is a measure of how much the function changes on average for each unit of change in the input variable over that interval. It can be thought of as the slope of the line that connects the endpoints of the interval.

To find the average rate of change, we need to first find the change in the function over the interval, which is:

g(5) - g(1) = (5^2 + 2(5) - 5) - (1^2 + 2(1) - 5) = 40

The length of the interval is 5 - 1 = 4. Therefore, the average rate of change is:

average rate of change = change in function / length of interval = 40 / 4 = 10

So the average rate of change of g(x) over the interval 1 ≤ x ≤ 5 is 10.

Learn more about slope of the function here:-brainly.com/question/9554035
#SPJ11

Answer:

-34.2

Step-by-step explanation:

5.7

x 6

___

34.2 (add negative sign cuz the bigger number is negative)

Please mark me brainliest If I help :)

A right square pyramid formed by the junction of the solid would have a square-shaped cross section.

This is thus because a square pyramid has four triangular sides that meet at a shared vertex on its square base. The cross section of a pyramid formed when a plane meets it parallel to the base and perpendicular to one of the triangular sides is a square. Because the pyramid's base is square, the intersecting plane will cut all four of the triangle faces at the same distance from the peak, giving the pyramid a square shape.

Learn more about right angle triangles here:

brainly.com/question/3770177

#SPJ1

The required, Mmusi borrowed R3000 from Aggie as per the given conditions.

Simple interest is a quick and simple formula for figuring out how much interest will be charged on loan.

Amount = Principal [1 + rate×time]

Let's call the amount Mmusi borrowed from Aggie "P".

After two years, he has to pay back
= P + P * 18% * 2
= P + 0.18 * P * 2
= P + 0.36P
= 1.36P

So if he has to pay back R4080, we can set up an equation to solve for P:

1.36P = 4080

To find P, we can divide both sides by 1.36:

P = 4080 / 1.36 = 3000

So Mmusi borrowed R3000 from Aggie.

Learn more about simple interests here:

https://brainly.com/question/26457073

#SPJ9

The charity will make $367.50 if Greg's grandmother makes 15 bulky scarves with her yarn.

Two or more expressions with an Equal sign is called as Equation.

If Greg's grandmother has no more than 2,250 yards of yarn, and each bulky scarf requires 150 yards of yarn, then she can make at most 2,250/150 = 15 bulky scarves.

Each scarf will be sold for $24.50

If she makes 15 bulky scarves then the charity will make

15 x $24.50

= $367.50.

Therefore, the charity will make $367.50 if Greg's grandmother makes 15 bulky scarves with her yarn.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Answer:

Your correct answer should be D.

I graphed on Desmos.

Step-by-step explanation: