When signing the lease for his $950.00 per month rental property, Stanley will have to pay for the first month's rent, last month's rent, and a security deposit equal to 40% of one month's rent. if Stanley currently earn an average bi-weekly net pay of $1,125.00, determine what percent of his monthly pay he will need to save if he wants to save enough money to sign a lease in 3 months. round to the nearest tenth. 22.3% 23.4% 25.9% 31.2%

The signature of the Principal Investigator on the final proposal does not imply responsibility for the availability of funding or the financial aspects of the project.

The complete question should be What does the signature of the Principal Investigator on the final proposal NOT imply responsibility for?

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Answer:

5446cm²

Step-by-step explanation:

the surface area = the 2 isosceles triangles + the 2 sides + the base

= 2 (24/2 X 35) + 2(37 X 47) + (47 X 24)

= 5446cm²

Answer: 5,446 cm²

Step-by-step explanation:

First, we will find the area of the two triangle sides.

       A = 2 * (\(\frac{bh}{2}\))

       A = bh

       A = (35 cm)(24 cm)

       A = 840 cm²

Next, we will find the area of the three rectangular sides. We have two that are congruent and a third that is not.

       A = 2 * (LW)

       A = 2 * ((47 cm)(37 cm))

       A = 2 * 1,739 cm²

       A = 3,478 cm²

       A = LW

       A = (24 cm)(47 cm)

       A = 1,128 cm²

Lastly, we will add all of these faces together.

       840 cm² + 3,478 cm² + 1,128 cm² = 5,446 cm²

Answer:

x = number of packages of peanuts

25 ≥ 10.81 + 10.00 + 0.38x

x = 11.03  Steven can

• Solve: 7 – x > 5.4

Solution:

x < 1.6

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

Let x and (x + 1) be the page numbers Josiah can see

Hint 1: x(x + 1) = 930

⇒ x² + x = 930

⇒ x² + x - 930 = 0

Using quadratic formula,

\(x = \frac{-b\pm\sqrt{b^2 -4ac} }{2a}\)

a = 1, b = 1 and c = -930

\(x = \frac{-1\pm\sqrt{1^2 -4(1)(-930)} }{2(1)}\\\\= \frac{-1\pm\sqrt{1 +3720} }{2}\\\\= \frac{-1\pm\sqrt{3721} }{2}\\\\= \frac{-1\pm61 }{2}\\\)

\(x = \frac{-1-61 }{2}\;\;\;\;or\;\;\;\;x= \frac{-1+61 }{2}\\\\\implies x = \frac{-62 }{2}\;\;\;\;or\;\;\;\;x= \frac{60 }{2}\\\\\implies x = -31\;\;\;\;or\;\;\;\;x= 30\)

Sice x is a page number, it cannot be negative

⇒ x = 30 and

x + 1 = 31

The two pages Josiah can see are pg.30 and pg.31

Hint 2: The page he is reading is an odd number

Out of the pages 30 and 31, 31 is an odd number

Thereofre, Josiah is reading page 31

Answer:

The Probability that a marble selected at random from the bag will NOT be green is 1/3

Step-by-step explanation:

The probability of selecting a green bag

                                            = Total No.of green bags/ Total number of bags

                                           =8/12

                                          = 2/3

Then the probability not of selecting a green bag  

                                                = 1 - The probability of selecting a green bag

                                                 = 1-(2/3)

                                                = 1/3

The value of x in the image above is equal to: C. 50.

In Mathematics, the Alternate Interior Angles Theorem states that when two (2) parallel lines are cut through by a transversal, the alternate interior angles that are formed are congruent.

The Linear Pair Postulate states that the measure of two (2) angles would add up to 180° provided that they both form a linear pair.

By applying the Linear Pair Postulate to the two (2) alternate interior angles, we have the following:

x + (x + 80) = 180

2x + 80 = 180

2x = 180 -80

2x = 100

x = 100/2

x = 50.

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Answer:

50

Step-by-step explanation:

The equation that represent the number of penguins is (6 ×  4) + (3 × 6) + (3 × 6) = p.

A building has 6 homes per floor and 3 floors. On the first floor, there are 4 penguins per home. On the second and third floor, there are 3 penguins per home.

Therefore, the equation that can be used to find the total number of penguins living in the building is as follows:

Hence,

(6 ×  4) + (3 × 6) + (3 × 6) = p

where

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Answer:

4-12x

Step-by-step explanation:

Answer: the answer is D

Step-by-step explanation:

Remember that the coordinates (3,7π6) tell us the radius r=3 and the angle θ=7π6. So the point should be on the circle labeled 3 and form an angle of 7π6 with the positive x-axis. Point D is the correct point.

Answer:

im pretty sure the answer is (-5,-7)?

If repetitions of colors are not allowed, there are 9,072 possible selections of collars for Dave's 5 cats.

If repetitions of colors are not allowed, we can use the concept of combinations to determine the number of selections of collars that are possible for Dave's 5 cats.

Since there are 9 different colors available and repetitions are not allowed, for the first cat, Dave can choose from 9 different collars.

For the second cat, there are 8 remaining colors to choose from. Similarly, for the third cat, there are 7 remaining colors, and so on.

To find the total number of selections, we multiply the number of choices for each cat together:

Total selections\(= 9 \times 8 \times 7 \times 6 \times 5\)

Calculating this expression:

Total selections = 15120

Therefore, there are 15,120 possible selections of collars if repetitions of colors are not allowed for Dave's 5 cats.

It's important to note that the calculations assume that the order of the cats does not matter.

If the order of the cats' collars matters, the total number of selections would be higher and would involve using the concept of permutations rather than combinations.

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Answer:

0.001 (one thousandth)

Step-by-step explanation:

hope this helps

Answer:

1 thousandth

Step-by-step explanation:

2 is in the ones place, 3 is in the tenths place, 9 is in the hundredths place, 1 is in the thousandths place.

Hope it helps!

The remaining credit after 63 minutes of calls is $19.92.

From the information illustrated, the remaining credit after 36 minutes of calls is $24.24, and the remaining credit after 55 minutes of calls is $21.20.

The rate will be:

= (24.24 - 21.20) / (55 - 36)

= 3.04 / 19

= 0.16

The remaining credit after 63 minutes of calls will be:

= $21.20 - ((63 - 55) × $0.16)

= $21.20 - $1.28

= $19.92

The credit is $19.92.

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According to the Pythagorean Theorem 1. b = 122. a = 1/4 for more detail scroll down.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. The theorem can be written as an equation: c^2 = a^2 + b^2, where c is the length of the hypotenuse and a and b are the lengths of the other two sides.

1. To use the Pythagorean theorem to find the length of side b, you can use the equation: c^2 = a^2 + b^2. In this case, c = 15 and a = 9, so you can substitute those values into the equation and solve for b:

15^2 = 9^2 + b^2

225 = 81 + b^2

b^2 = 225 - 81

b^2 = 144

b = sqrt(144)

b = 12

2. In the second case a is unknown and the other two sides are in fraction form, so we can use Pythagorean theorem to find the value of a.

The equation is c^2 = a^2 + b^2

(5/12)^2 = a^2 + (4/12)^2

25/144 = a^2 + 16/144

a^2 = 9/144

a = sqrt(9/144)

a = sqrt(1/16)

a = 1/4

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The rank of the matrix is 3, since there are three linearly independent rows.

The rank of a matrix is the maximum number of linearly independent rows or columns in the matrix. It is denoted by the symbol "rank(A)" for a matrix A.

To find the rank of the matrix:

[-2, -1, -3, -1] [ 1, 2, -3, -1] [ 1, 0, 1, 1] [ 0, 1, 1, -1]

We can perform row operations to reduce the matrix to row echelon form, which will help us determine the rank.

\(R_2 = R_2 + 2R_1 R_3 = R_3 + 2R_1 R_4 = R_4 + R_2\)

This gives us the following matrix:

[-2, -1, -3, -1] [ 0, 0, -9, -3] [ 0, -1, -1, 1] [ 0, 0, -4, -4]

We can see that the third row is not a linear combination of the first two rows, and the fourth row is not a linear combination of the first three rows. Therefore, the rank of the matrix is 3, since there are three linearly independent rows.

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Answer:

3 heartbeats per sec.

Step-by-step explanation:

Number of heartbeats / Total time will give the rate or number of heartbeats per sec.

The equation of a circle that is congruent to circle C and is centered at point P is (x - 5)² + (y - 1)² = 5².

In Geometry, the standard form of the equation of a circle is modeled by this mathematical equation;

(x - h)² + (y - k)² = r²

Where:

Based on the information provided, we have the following parameters for the equation of this circle:

By substituting the given parameters, we have:

(x - h)² + (y - k)² = r²

(x - 5)² + (y - 1)² = 5²

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The surface area of the solid is 281 ft².

Given that, a solid figure made of a rectangular prism and a square pyramid,

We need to find its surface area,

To find the same, we will find the lateral surface area of square pyramid, and total surface area of rectangular prism,

So,

Surface area = 2×side×slant height + 2(length·width+width·height+height·length)-base area of the square pyramid,

= 2×5×5 + 2(4·12+12·5+4·5)-5²

= 50+256-25

= 281 ft²

Hence the surface area of the solid is 281 ft².

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Answer:

9, 18, 27, 36, 45

Step-by-step explanation:

multiples is like finding the factors. like 1*9=9 and 2*9=18, 9*3=27, 4*9=36, 9*5=45

Answer:

I answered your duplicate question. Make sure to check out the answer, and I hope it helps!

the given line is,

-5x + 3y = 1

first of all lets establish the slope of the given line

the eqaution of a line in slope-intercept form is,

y = mx + b

where m is the slope, b is the y-intercept

lets arrange the given line eqaution in the form of the slope formular above

so,

3y = 1 + 5x

3y = 5x + 1

making y the subject of formular,

y = 5x/3 + 1/3

therefore:

a) a line that is parallel with slope m = 5/3

b) the slope that is perpendicular to the given line

the perpendicular slope is the opposite reciprocal

that is, m1 . m2 = -1

recall, m1 = 3/5

m2 = -1 X 3/5

= -3/5

therefore the perpendicular slope is -3/5

Answer:

\(\huge \boxed{\mathrm{Option \ D}}\)

Step-by-step explanation:

\(f(x)+k\)

Is the formula for upward vertical translation.

\(f(x)-k\)

Is the formula for downward vertical translation.

Where \(k\) is the units being translated.

Translation in the positive y-direction is upward vertical translation.

\(k=2\)

The translation is by 2 units.

The function becomes,

\(f(x)+2\)

Answer:

Step-by-step explanation:

D) ƒ(x) + 2 = x^5 + 2

Answer:

2 1/4 pizzas

Step-by-step explanation: 5 - 3 =2 so put 2 then 1/2-1/4= 1/4 so 2 1/4

Determining if the proportion is true. If is not true and correcting the error v/x = x/v+w is: B. false, it should be  w/x = x/v+w.

In order for us to know whether the proportion v/x = x/v+w is true or not we need to cross multiply and simplify both sides:

v(x + v + w) = x^2

Expand the left-hand side:

vx + v^2 + vw = x^2

Subtract vx from both sides:

v^2 + vw = x^2 - vx

Factor out v on the left-hand side and x on the right-hand side:

v(v + w) = x(x - v)

Divide both sides by (v + w)x:

v/(v + w) = x/(x - v)

Therefore the correct option is B.

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Answer:

domain:-16,-8,0,12

range:0,-11,12,14

Answer:

2.94

Step-by-step explanation:

A = 6a²

6 × .7² = 2.94

.7 × .7 = .49

6 × .7 = 2.94

\( a = 6a {}^{2} \)

a is the side

area -6 x 0.7

The equations will be solved by putting the values of the variables in the bracket.

1. (b + a) = 4; use a = 1 and b = 3

( 1 + 3) = 4

2) c(b + b); use b = 1 and c = 5

5(1 + 1)

= 5 × 2 = 10

3) 4+ pm; use m = 4 and p =3

= 4 + (4 × 3)

= 4 + 12

= 16

4) 5+ pm; use m = 4 and p = 2

= 5 + (2 × 4)

= 5 + 8

= 13

5) m(p + 2); use m = 5 and p = 2

= 5(2 + 2)

= 5 × 4

= 20

6) h+j²; use h = 1 and j = 4

= 1 + 4²

= 17

7) y-(x - 5); use x = 5 and y = 6

= 6 - (5 - 5)

= 6 - 0

= 6

8) 4xy; use x = 5 and y = 2

= 4 × 5 × 2

= 40

9) n(p + 3); use n = 2 and p = 2

= 2(2 + 3)

= 10

10) y +x+x; use x = 3 and y=5

= 5 + 3 + 3

= 11

11) 6+ a-b; use a = 4 and b = 4

= 6 + 4 - 4

= 6

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Answer:

E. When the sample size​ increases, because the standard deviation of the distribution of sample means better estimates the population standard deviation for larger sample sizes.

Step-by-step explanation: