Find the present value of a loan with a MONTHLY payment of $530.65 and an interest rate of 5.90% APR over 29 years, compounded MONTHLY.

Give your answer to 2 decimal places.

The missing values in each of the given prime factorization are :

1.) 80 = __ × 2 × 2 × 2 × 5

2.) 198 = 2 × 3 × __ × 11

3.) 1750 = 2 × 5³ × __

4.) 665 = __ × 7 × 19

5.) 4968 = 2³ × 3³ × __

6.) 297 = __³ ×11

7.) 2639 = 7 × __ × 29

8.) 1331 = 11^p

Therefore, the value of p represents the missing value in the prime factorization given.

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It seems that the sequence you provided is the sequence of triangular numbers. The function that generates this sequence could be defined as:

f(n) = n*(n+1)/2

Where n is the position of the number in the sequence.

So, for example:

f(1) = 1*(1+1)/2 = 1

f(2) = 2*(2+1)/2 = 3

f(3) = 3*(3+1)/2 = 6

and so on.

Answer:

1)    \(\frac{4}{-3}\)

2) \(\frac{3}{2}\)

Step-by-step explanation:

To find the slope, we can use the slope formula:
\(\frac{y2 - y1}{x2 - x1}\)

1. Through (4,-3) and (-2,5):

Slope = \(\frac{5 - (-3)}{-2 - 4}\)

Slope = \(\frac{8}{-6}\)

Simplified to: \(\frac{4}{-3}\)

2. Through (2, -1) and (0, -4)

Slope = \(\frac{-4 - (-1)}{0 - 2}\)

Slope = \(\frac{-3}{-2}\)

Slope = \(\frac{-3}{-2} \cdot \frac{-1}{-1} = \frac{3}{2}\)

Meaning that the slope of 1) is    \(\frac{4}{-3}\) and the slope of 2) is \(\frac{3}{2}\).

Hope this helps!

Answer:

number is 5

Step-by-step explanation:

let the number be n, then

30 subtracted from 14 times the number is

14n - 30

the result is 20 more than 4 times the number, that is

4n + 20

the equation is then

14n - 30 = 4n + 20 ( subtract 4n from both sides )

10n - 30 = 20 ( add 30 to both sides )

10n = 50 ( divide both sides by 10 )

n = 5

the number is then 5

Answer:

A) 12 inches by 20 inches

Step-by-step explanation:

Dilation of a scale factor means to increase by a factor of 4.
That basically mean multiply the object by 4.

Therefore 3 inches x 4 = 12 inches

And 5 inches x 4 = 20

Answer:

18.3% x 238 megabytes

0.183 x 238 = 43.554 megabytes = 43.6 megabytes (rounded to the nearest tenth) or 43.55 (rounded to the nearest hundredth).

Step-by-step explanation:

The rate at which the depth of the liquid is increasing when the depth of the liquid reaches one-third of the height of the bowl is 1.25 cm s⁻¹.

The volume of the liquid in the bowl is given by the following integral:

\(V = \int\limitsx_{0}^{h} \, \pi r^{2}(y) dy\)

where r = radius of the bowl and y = height of the liquid.

The radius of the bowl is equal to the distance from the curve y = (4/(8-x)) - 1 to the y-axis. This can be found using the following equation:

r = √{(4/(8-x)) - 1}² + 1²

The height of the liquid is equal to the distance from the curve y = (4/(8-x)) - 1 to the x-axis. This can be found using the following equation:

h = (4/(8-x)) - 1

Substituting these equations into the volume integral:

\(V = \int\limitsx_{0}^{h } \, \pi {\sqrt{(4/(8-x)) - 1)^{2} + 1^{2} (4/(8-x))} - 1 dy\)

Evaluate this integral using the following steps:

Expand the parentheses in the integrand.

Separate the integral into two parts, one for the integral of the square root term and one for the integral of the linear term.

Integrate each part separately.

The integral of the square root term can be evaluated using the following formula:

\(\int\limits^{b} _{a} \, dx \sqrt{x} dx = 2/3 (x^{3/2}) |^{b}_{a}\)

The integral of the linear term can be evaluated using the following formula:

\(\int\limits^{b} _{a} \, {x} dx = (x^{2/2}) |^{b}_{a}\)

Substituting these formulas into the integral:

V = π { 2/3 (4/(8-x))³ - 1/2 (4/(8-x))² } |_0^h

Evaluating this integral:

V = π { 16/27 (8-h)³ - 16/18 (8-h)² }

The rate of change of the volume of the liquid is given by:

dV/dt = π { 48/27 (8-h)² - 32/9 (8-h) }

The rate of change of the volume of the liquid is 7π cm³ s⁻¹. Also the depth of the liquid is one-third of the height of the bowl. This means that h = 2/3.

Substituting these values into the equation for dV/dt:

dV/dt = π { 48/27 (8-2/3)² - 32/9 (8-2/3) } = 7π

Solving this equation for the rate of change of the depth of the liquid:

dh/dt = 7/(48/27 (8 - 2/3)² - 32/9 (8 - 2/3)) = 1.25 cm s⁻¹

Therefore, the rate at which the depth of the liquid is increasing when the depth of the liquid reaches one-third of the height of the bowl is 1.25 cm s⁻¹.

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Answer:

-4

Step-by-step explanation:

negative 4

Answer:

If they are divisible by the numbers in the original shape, then try and see if the others sides of the scaled copy are scaled by the same factor. If they are, then they are a scaled copy.

Step-by-step explanation:

Answer:

Cubic monomial

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

5x³

Step 2: Identify

Quadratic are ax²

Cubics are ax³

We know we are given a cubic, so A and C are incorrect.

Monomials are 1 term: ax³

Binomials are 2 terms: ax³ + ax³⁻ⁿ

∴ Our answer is cubic monomial

Answer:

x = -20/97

Step-by-step explanation:

f(x) = -53x is your output

so -53x = 10-9/2x

-53x - 10 = -9/2x

lets clear the fraction by multiplying each side by 2

-106x - 20 = -9x

-97x = 20

x = -20/97

When f(x) is equal to -53x, the value of x is approximately -0.2062. To find the value of x when f(x) is equal to -53x, we can set the two expressions equal to each other and solve for x:

Given: f(x) = 10 - (9/2)x , And: f(x) = -53x

Setting them equal to each other: 10 - (9/2)x = -53x

To solve for x, let's first get rid of the fraction. We can do this by multiplying the entire equation by 2: 2 * (10 - (9/2)x) = 2 * (-53x)

20 - 9x = -106x

Now, let's isolate the variable x on one side of the equation. Let's move the -9x term to the other side by adding 9x to both sides:

20 - 9x + 9x = -106x + 9x

20 = -97x

Finally, to find x, divide both sides by -97: x = 20 / -97

x ≈ -0.2062 (rounded to 4 decimal places)

So, when f(x) is equal to -53x, the value of x is approximately -0.2062.

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Answer:

Step-by-step explanation:oop

Answer:

-3 1/4 is also -3.25 so on the number line it is in the middle of -3.5 and -3.

3.8 on the number line wil be about a cm behind 4.

Step-by-step explanation:

the number 3.8 is between 3.5 and 4

the number -3 1/4 is between -3 and -3.5

which number is between -5 and -6 on a number line

is b. -25/6

Answer:

x = 45/8

Step-by-step explanation:

8x – 3y = 36

Let y=3

8x – 3*3 = 36

8x - 9 = 36

Add 9 to each side

8x -9+9 = 36+9

8x = 45

Divide each side by 8

8x/8 = 45/8

x = 45/8

Answer:

x = 45 / 8

Step-by-step explanation:

8 x - 3 y = 36

8 x - 3 × 3 = 36 ( given :- y = 3 )

8 x - 9 = 36

add 9 to both side

8 x - 9 + 9 = 36 + 9

8 x = 45

Divide each side by 8

8 x / 8 = 45 / 8

X = 45 / 8

Answer:

Step-by-step explanation:

To earn an average score of 90, the score on the fourth test needs to be 98.

The core value of a set of data is expressed mathematically as the average of a list of data. It is defined mathematically as the ratio between the total number of units in the list and the sum of all the data. The term "mean" in statistics also refers to the average of a particular set of numerical data.

Given the score of the first three tests as:

91, 84, 87.

The average is given by the following formula:

Average = Sum of scores ÷ total number of tests

Let us suppose the score of fourth test as x.

Given that A = 90:

90 = (91 + 84 + 87 + x) ÷ 4

x = 98

Hence, the score on the fourth test must be equal to 98, to get an average score of 90.

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Work Shown:

9+15 = 24 students total

9 have glasses, so 9/24 = 0.375 = 37.5% of the class wears glasses.

Answer:

uhmmmmm... i no understand...

Step-by-step explanation:

Answer:

25 baggies; each bag has 2 blueberry scones, and three cranberry scones.

Step-by-step explanation:

The question format is a bit bugged, but I assume the question is asking "You have 50 blueberry scones and 75 cranberry scones. You want to make as many identical bags as possible. What is he greatest number of bags you can fill?"

The first thing to realize when solving this question is that whatever the answer is equal to, it must be able to be equally divided from both 50 and 75, otherwise it will have a remainder, and at least one bag will have too many or not enough scones.

This means that the answer must be a factor of both 50 and 75.

The factors of 50 includes {1, 2, 5, 10, 25, 50}

The factors of 75 includes {1, 3, 5, 15, 25, 75}

In the two sets, only 1, 5, and 25 are common factors. Of the three factors, 25 is the greatest number, and thus the greatest number of bags that can you can fill.

Answer:

Area: x^2 + 6x

Step-by-step explanation:

1. This figure resembles a parallelogram, with it's dimensions parallel to the point of congruency. Even if it wasn't a parallelogram however, you would get the basic idea of calculating it's area by height * length.

2. Knowing the dimensions to be ( x + 6 ) by x, you can multiply them through algebra as such: x ( x + 6 ) ⇒ x^2 + 6x

3. Answer: x^2 + 6x

Answer:

c

Step-by-step explanation:

C is the only equality that no matter what, the value would be $75 or less

Answer: negative one third

Answer:

-1/3

Explanation:

There's a formula that I'll use to find the slope - it's called the slope formula.

\(\sf{m=\dfrac{y_2-y_1}{x_2-x_1}}\)

Plug in the data:

\(\sf{m=\dfrac{8-4}{-4-8}}\\\\\sf{m=\dfrac{4}{-12}\)

Simplify:

\(\sf{m=-\dfrac{4}{12}}\)

\(\sf{m=-\dfrac{1}{3}}\)

Hence, the slope is negative one-third.

Answer:

Step-by-step explanation:

how many did he sell in the first place

The correct answer is Option C. The graph represents the function f (x) = StartFraction 1 Over x EndFraction minus 1 is On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = negative 1, and the horizontal asymptote is at y = 0.

On a coordinate plane, the graph of a hyperbola is shown.

In quadrant 1, one curve opens up and to the right, while in quadrant 3, the other curve opens down and to the left.

The vertical asymptote is at x = -1, and the horizontal asymptote is at y = 0. This hyperbola is symmetrical across both the x and y axes.

The function f(x) = 1/x - 1 has a vertical asymptote at x = 0 because the denominator approaches zero as x approaches zero.

A fraction with a denominator of zero cannot exist.

The horizontal asymptote of this function is y = -1 because as x approaches infinity or negative infinity, f(x) approaches -1.

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Answer

A few ways we could stop racism against black people in this country is to stop the perpepuation of black stereotypes in media. Such as the loud, aggressive black man, or the rude, catty black woman. It causes a harmful view on black people and can result in racial profiling. Another way to combat this racism is to fight off systemic racism. Black people who have unique names, usually African names, are more likely to get turned down for a job when they turn in their resume to an establishment. This is because they automatically assume that they'll be trouble, and won't be a good worker.

The values nearest to these middle elements are 60 and 63 inches.

The dataset is given as:

62 33 50 90 80 50 40 70 50 63 74 53 55 64 60 60 78 70 43 82

Then, we sort the information elements in ascending request

33 40 43 50 50 50 53 55 60 60 62 63 64 70 70 74 78 80 82 90

The length of the dataset is 20.

Thus, the elements at the middle are the tenth and the 11 elements.

From the arranged dataset, these elements are: 60 and 62

Thus, the values nearest to this median are 60 and 63

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Answer:

b) 2 (x - 4) = 6x

Step-by-step explanation:

equation:

⇒ 2 (x - 4) = 6x

use distributive property:

⇒ 2 (x - 4) = 6x

⇒ 2x - 8 = 6x

subtract x from both sides:

⇒ 2x - 2x - 8 = 6x - 2x

⇒ -8 = 4x

divide both sides by 4:

⇒ \(\frac{-8}{4} = \frac{4x}{4}\)

⇒ -2 = x

to check, substitute -2 for x: answer should be the same

2 (x - 4) = 6x

2 (-2 - 4) = 6 x -2

-4 - 8 = -12

-12 = -12

Answer:

i got A and B.

Step-by-step explanation:

for a, subtract 6 from both sides and your new equation should be 2x=-4

the divide -4 by 2 which is -2

for b, you multiply 2 by each number in the parenthesis so your new equation should be 2x-8=6x. then subtract 2x from 6x and get 4x then divide -8 by 4 to get -2. im 100% sure abt A but i was a little confused on B good luck tho

Answer:

49 dollars

Step-by-step explanation:

700 times .07