WHat is 64% as a fraction

For Rob Herndon to achieve his goal of paying off $430,000 in 10 years, he needs to make $34,186.97 at 5% compounded annually.

A future value refers to a value on a future date based on an assumed growth rate of interest over some period.

The future value can be determined using the FV formula or table.

We can also compute the future value using an online finance calculator as follows:

N (# of periods) = 10 years

I/Y (Interest per year) = 5%

PV (Present Value) = $0

FV (Future Value) = $430,000

Results:

PMT = $34,186.97

Sum of all periodic payments = $341,869.70

Total Interest= $88,130.30

Thus, for Rob Herndon to achieve his goal of paying off $430,000 in 10 years, he needs to make $34,186.97 at 5% compounded annually.

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Answer:

2Pm+Pn+2qm-qn-2rm+rn

Step-by-step explanation:

The probability that a sample of size n = 62 is randomly selected with a mean between 189.7 and 213 is approximately 0.9702.

To find the probability that a single randomly selected value is between 189.7 and 213, we can use the standard normal distribution.

Step 1: Calculate the z-scores for the given values using the formula:

  z = (x - μ) / σ

  For 189.7:

  z1 = (189.7 - 189.7) / 96.7 = 0

  For 213:

  z2 = (213 - 189.7) / 96.7 ≈ 0.2417

Step 2: Utilize a standard typical conveyance table or number cruncher to find the probabilities comparing to the z-scores.

  P(189.7 < X < 213) = P(0 < Z < 0.2417) ≈ 0.0939

Therefore, the probability that a single randomly selected value is between 189.7 and 213 is approximately 0.0939.

To find the probability that a sample of size n = 62 is randomly selected with a mean between 189.7 and 213, we use the central limit theorem. Under specific circumstances, the testing dispersion of the example mean methodologies a typical conveyance

Step 1: Calculate the standard error of the mean (σ_m) using the formula:

  σ_m = σ / sqrt(n)

  σ_m = 96.7 / sqrt(62) ≈ 12.2878

Step 2: Convert the given qualities to z-scores utilizing the equation:

  z = (x - μ) / σ_m

  For 189.7:

  z1 = (189.7 - 189.7) / 12.2878 = 0

  For 213:

  z2 = (213 - 189.7) / 12.2878 ≈ 1.8967

Step 3: Utilize a standard typical conveyance table or mini-computer to find the probabilities relating to the z-scores.

  P(189.7 < M < 213) = P(0 < Z < 1.8967) ≈ 0.9702

Therefore, the probability that a sample of size n = 62 is randomly selected with a mean between 189.7 and 213 is approximately 0.9702.

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Answer:

i can ans it

(-4,-1,-12)

Answer:

For 1 year Jeff pays $1200.

For 6 years he pays 7200 / 6 = 1200 per year.

For 9 years he pays 10800 / 9 = 1200 per year.

Jeff's unit rate is $1,200 per year.

Daniel pays $1,150 per year.

150 is less than 1200, so the answer would be:

A.  Daniel's unit rate is lower. It is $1,150 per year

The height of the can of cylinder shape is 9.14 cm.

What is a cylinder?

In mathematics, a cylinder is a three-dimensional solid that maintains two parallel bases separated by a curved surface at a specific distance. These bases frequently have a circular shape (like a circle), and an axis connects their respective centres.

We are given the diameter as 4 cm.

So, the radius is 2cm.

Also, it is given that the surface area of the can is 140 square centimeters.

So, using the surface area of cylinder, we get

⇒Area = 2πr (h + r)

⇒140 = 2π * 2 (h + 2)

⇒140 = 4π (h + 2)

⇒140 = 4 * 3.14 * (h + 2)

⇒140 = 12.56 * (h + 2)

⇒11.14 = h + 2

⇒h = 9.14

Hence, the height of the can of cylinder shape is 9.14 cm.

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Answer: B

Begin by simplifying the given equation, so it's rearranged into standard form. Move all the terms onto one side, so they equal 0. This would result with \(4x^{2}\)-3x-9=0. Quadratic formula is (-b±√(b²-4ac))/(2a). Standard form follow this variable format: \(ax^{2}\)+bx+c. Use the numbers that correspond with each variable to substitute them into the quadratic formula. This would be

(-(-3)±√(-3²-4(4)(-9)/2(4).

Answer:

x = 21°

Step-by-step explanation:

180 - 159 = 21

Alternate angles (see image below) are equal, so x = 21

Using corresponding angles and adjacent angles concept, the value of x from the given parallel lines is 21°.

Given that, straight line m parallel to straight line n and t is the transversal.

The corresponding angles definition tells us that when two parallel lines are intersected by a third one, the angles that occupy the same relative position at each intersection are known to be corresponding angles to each other.

Here, y°=159°

Now, y°+x°=180° (Adjacent angles on straight line)

159°+x°=180°

x°=21°

Therefore, the value of x from the given parallel lines is 21°.

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Answer:

1/8, 2/8

1/8+2/8= 3/8

0/8<3/8<4/8

Step-by-step explanation:

Step-by-step explanation:

w = width

2w + 2 =  Length

Area = W x L  = 84 = w (2w+2)

                          84 = 2w^2 + 2w

                            0 = 2w^2 + 2w - 84        Use Quadratic Formula

                                                                 a = 2    b=2    c = -84

to find  

W = 6      then     L =  14 inches

Answer:

10 5/8

Step-by-step explanation:

9 3/4 + 7/8 = 9 6/8+7/8=

10 5/8

The distance jumped by Chris in total would be as follows:

\(10\frac{5}{8}\)

Distance is denoted as the space that one covers from a particular place to the other.

Given that,

The distance jumped by Mark \(= 9\frac{3}{4}\) feet

The distance jumped by Chris \(= \frac{7}{8} + 9\frac{3}{4}\)

So,

The total distance covered by Chris would be:

\(= \frac{7}{8} + 9\frac{3}{4}\)

\(= \frac{7}{8} + \frac{39}{4}\)

\(=\) \(\frac{(7 + 78)}{8}\)

 \(= \frac{85}{8}\)

\(=\) \(10\frac{5}{8}\)

Thus, \(10\frac{5}{8}\) is the correct answer.

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Answer: 15y+50=x

Step-by-step explanation:

Answer:

The answer is -14.

Step-by-step explanation:

16-30

-(30-16)

=-14.

Hope that helped!

Answer:

2280 the volume

Step-by-step explanation:

So one box = 480

So then what about 6 boxes?

you do 480 x 6 =   2880

480+ 480+ 480+ 480+480+480= 2880

Answer:

C is correct.

The fundamental guidelines and procedures to simplify any algebraic statement are as follows:

By multiplying factors, remove any grouping symbols like brackets and parenthesis.

If the words contain exponents, use the exponent rule to eliminate grouping.

Add or subtract like terms to combine them.

Add the constants together. The provided expression's abbreviated form is 8q.

4 is the supplied expression (3q-q).

What exactly is a phrase?

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression.

We must make the supplied phrase simpler.

Now, 4(3q-q) (3q-q)

= 4×2q

= 8q

Therefore, 8q is the expression's reduced form.

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Answer:

The growth model that represents the population of this city is not linear--it is exponential:

\(f(t) = 10000( {1.025}^{t} )\)

\(t = 0 \: represents \: 2010\)

The expression representing the perimeter of the polygon is given as follows:

7mn³/3 + 4m² + 3mn².

The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.

Hence the perimeter for the polygon in this problem is given as follows:

mn³(1/3 + 2) + m²(1 + 3) + mn²(1 + 2) = 7mn³/3 + 4m² + 3mn².

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The fourth term a₄ of the sequence is 29933

From the question, we have the following definition of the function that can be used in our computation:

a₁= 3

aₙ = (aₙ₋₁)² + 4

The above definitions imply that we simply square the previous term and then add 4 to the squared result to get the current term

Using the above as a guide,

so, we have the following representation

a₂ = (3)² + 4

a₂ = 13

Also, we have

a₃ = (13)² + 4

a₃ = 173

Lastly, we have

a₄ = (173)² + 4

Evaluate the equation

a₄ = 29933

Hence, the value of a₄ is 29933

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Answer:

a=4

b=5

Step-by-step explanation:

The required feet added to both the length and width of the patio is 6 feet.

Given that,
A square patio had the same number of feet added to its length and width. The equation A(x) = x² + 12x + 36 represents the area of the new patio in square feet, where 'x' was the length and width of the original patio, in feet.

Here,

According to the question,
A(x) = x² + 12x + 36
A(x) = x² + 6x + 6x + 36
A(x) = (x + 6)(x + 6)

Length = width = x + 6

Thus, the required feet added to both the length and width of the patio is 6 feet.

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Answer:

m = 7; n = 12

Step-by-step explanation:

"a regular n-sided polygon has 5 sides more than a

regular m-sided polygon"

n = m + 5

The sum of the measures of the interior angles is

180(n - 2) for the n-sided polygon and

180(m  2) for the m-sided polygon.

"If the sum of interior angles of the regular

n-sided polygon is twice that of the latter"

180(n - 2) = 2(180)(m - 2)

We have a system of equations with 2 equations.

n = m + 5

180(n - 2) = 2(180)(m - 2)

Simplify the second equation:

n - 2 = 2m - 4

n + 2 = 2m

Substitute m + 5 for n.

m + 5 + 2 = 2m

7 = m

m = 7

n = m + 5 = 7 + 5 = 12

Answer: m = 7; n = 12

Answer:

I hope this will be helpful to you mark me as brainliest pls

Answer:

C

Step-by-step explanation:

- (\(\frac{28x+12}{8}\) ) < 6x - 30 ( multiply both sides by 8 to clear the fraction )

- (28x + 12) < 48x - 240 ← distribute parenthesis by - 1

- 28x - 12 < 48x - 240 ( subtract 48x from both sides )

- 76x - 12 < - 240 ( add 12 to both sides )

- 76x < - 228

divide both sides by - 76 reversing the symbol as a result of dividing by a negative quantity.

x > 3

The completed list of numbers would be: 1, 1, 1, 2, 1, 4, 1, 2

By examining the given list of numbers 1, 1, 1, 2, 1, 4, 1, we can observe a pattern emerging.

The pattern seems to involve alternating sequences. The first sequence is the number 1 repeated three times (1, 1, 1). The second sequence is a number that follows the pattern of increasing by 1 each time (2). The third sequence is the number 1 repeated once (1). The fourth sequence is a number that follows the pattern of doubling each time (4). This pattern of alternating sequences continues.

Based on this pattern, we can predict that the next number in the sequence will follow the alternating sequence pattern. Since the last number in the sequence is 1, the next sequence will involve a number that follows the pattern of increasing by 1. Therefore, the next number in the sequence would be:

1 + 1 = 2

Hence, based on the observed pattern, the next number in the sequence is 2.

Therefore, the completed list of numbers would be:

1, 1, 1, 2, 1, 4, 1, 2

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Answer:

50 degrees

Step-by-step explanation:

PLZ MARK BRAINLIEST

Answer:

720

Explanation:

\(2:125\)

\(x:45000\)

to go from 125 to 45000 we need to multiply by 360

that's why we will multiply 2 with 360 to balance both ratios

when we do that we get 720

2:125

\(\bold{720:45000}\)

Answer:

720

Step-by-step explanation:

Answer:

m<ECB = 34

Step-by-step explanation:

I will assume that the quadrilateral is a parallelogram because I don't think there is a unique solution without that assumption.

Look at triangle CDE.

The sum of the measures of a triangle is 180 deg.

m<DCE + m<CDE + m<CED = 180

30 + m<CDE + 90 = 180

m<CDE = 60

m<ADC = m<ADE + m<CDE

m<ADC = 56 + 60

m<ADC = 116

m<B = m<ADC = 116

Consecutive angles of a parallelogram are supplementary.

m<ADC + m<BCD = 180

116 + m<BCD = 180

m<BCD = 64

m<BCD = m<ECB + m<ECD

64 = m<ECB + 30

m<ECB = 34