What is 4,902 written in expanded form

Answer:

The question needs more information. We don't know what's the x. The number that represents the variable X in the parentheses. Or it could be like:

Step-by-step explanation:

Step-by-step explanation:

opening the bracket

5x-30=(2x+6)2

5x-30=4x+12

collecting like terms

5x-4x=12+30

x=42

(a). The Tanakas paid a total of $523,906.40 for the townhome.

(b). The Tanakas paid $206,906.40 in interest on their mortgage over the 15-year period.

Simple interest is the type of interest that is calculated on the principal amount only.

It is a fixed percentage of the principal amount that is charged or earned over a certain period of time, without any compounding of interest.

(a) The total amount they ended up paying for the townhome is the sum of the down payment and the total amount of the mortgage payments.

Down payment = $41,000

Total amount of mortgage payments = monthly payment x number of payments = $2675.04 x 12 months/year x 15 years = $482,906.40

Total amount paid = down payment + total amount of mortgage payments = $41,000 + $482,906.40 = $523,906.40

(b) The amount of interest paid on the mortgage can be calculated by subtracting the principal (the amount borrowed) from the total amount paid.

Principal = Total cost of townhome - Down payment = $358,000 - $41,000 = $317,000

Total interest paid = Total amount paid - Principal = $523,906.40 - $317,000 = $206,906.40

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Answer:

A. and B.

Step-by-step explanation:

A. $34 - $10= $24 hourly fee divided by 3= $8 per hour.

B. $66 - $12= $54 hourly fee divided by 6= $9 per hour.

C.$92-$8= $84 hourly fee divided by 7= $12 per hour.

D. $52.5-$0= $52.5 hourly fee divided by 3.5= $15 per hour.

E. $112-$2=$110 hourly fee divided by 5.5= $20 per hour.

So Mia and Alex are the cheapest .

Answer:

Explanation:

Here, we want to get the greatest common factor between the two numbers

This means we want to get the highest number that is a factor of the two

We can start by factoring both numbers as follows;

Looking at the factors, we can see that 2 * 2 is the highest we can take out as common to both numbers

That means the highest common factor of the two is 4

Answer:

c and d

reason:

they dont go over 40 hours

Answer:

Srry but i dont understrand

Step-by-step explanation:

Answer:

Step-by-step explanation:

3. The volume of the Pringle Chips container is approximately 2034.72 cubic inches.

4. The cake takes up approximately 7317 cubic inches of space.

5. The volume of foam in the model of the volcano is approximately 7234.08 cubic centimeters.

1. The units for Volume are always cubed.

2. Volume is the amount of space an object takes up. True.

3. To calculate the volume of the Pringle Chips container, we need to find the volume of a cylinder. The formula for the volume of a cylinder is V = πr^2h, where π is a constant (approximately 3.14), r is the radius, and h is the height. Given that the diameter is 9 inches, the radius would be half of that, which is 4.5 inches. Substituting the values into the formula, we have:

V = 3.14 * (4.5)^2 * 32

V = 3.14 * 20.25 * 32

V ≈ 2034.72 cubic inches

4. To find the volume of the 3-tier cake, we need to find the volume of each tier separately and then add them together. Since all the tiers are cylinders, we can use the formula V = πr^2h.

Tier 1:

V1 = 3.14 * (12)^2 * 10 = 4521.6 cubic inches

Tier 2:

V2 = 3.14 * (8)^2 * 10 = 2010.4 cubic inches

Tier 3:

V3 = 3.14 * (5)^2 * 10 = 785 cubic inches

Total volume:

Total V = V1 + V2 + V3

Total V = 4521.6 + 2010.4 + 785

Total V ≈ 7317 cubic inches

5. To find the volume of the Styrofoam model of the volcano, we can use the formula for the volume of a cone, V = (1/3)πr^2h. Given that the diameter is 48 centimeters, the radius would be half of that, which is 24 centimeters. Substituting the values into the formula, we have:

V = (1/3) * 3.14 * (24)^2 * 12

V = (1/3) * 3.14 * 576 * 12

V ≈ 7234.08 cubic centimeters

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Answer:

4275$

Step-by-step explanation:

3400 down pmt + 375 sec dep + 500 fee

The total cash due at signing is, $15300

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

Given, The MSRP of the car is,  $27,500.

Now, The monthly payment = $425 and it is for 36 months,

Therefore, The total monthly downpayment is, 36×425 = $15300.

So, The total cash due at signing is, $15300 the monthly installments.

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Answer:

A. 216

Step-by-step explanation:

Since 9720 divided by 45 equal 216.

Answer:

Option A

Step-by-step explanation:

Find the unit rate from the given information.

\(\frac{\text{words}}{\text{minute}}=\frac{9720}{45}=216\)

Hope this helps!

Answer:

I think you are missing something unless the answer is a horizontal line.

Step-by-step explanation:

Answer:

square root

Step-by-step explanation:

just took the test :)

Answer:

$980

Step-by-step explanation:

Answer:

$980

Step-by-step explanation:

This is 980.17 the 17 is the decimal spot. what is 17 rounded to? for tens place it will be 0. The number line pushes the numbers in the tens from 10 to 49. If it gets to 50 then it goes up. however if it stays at 49 or lower the number goes down.

980 is the answer. Hope This Helps!

Answer:

the answer is 105

Step-by-step explanation:

because 5×3=15 so 15×7 =105

Step-by-step explanation:

As my previous answer got deleted for being wrong (in which it was right), I will answer again.

The answer is 1. Why? Just plug it into the equation. F(1) = 2(1) + 5 = 7.

This is proof that it is right, and that there are some corrupt admins on brainly.

How to get to this solution?

Well notice how we are given what f(a) is. It is 2a + 5. So plug this in for f(a).

If we do so, we get 2a + 5 = 7.

Solving this equation, we get a = 1.

Step-by-step explanation:

OUT of  35 spins   4 + 15 + 3  = 22   were blue or green or purple

 22/35 probability  = 63%

Step-by-step explanation:

A car is on a slope of 10degree above the horizontal . a force 1000N is applied to the car up the line of the slope. the car has amass of 500 kg . what is the acceleration of the car

Step-by-step explanation:

The line is a vertical line of the form x = a, where a is a real constant.

Sincw the line passes through the point (-5, 0), the line equation is x = -5.

The number of club members who played both the piano and the guitar, using the idea of a Venn diagram, is 2.

A Venn diagram is a pictorial diagram that represents mathematical or logical sets that depict similar or different relationships.

A Venn diagram uses circles or other curves to show common elements of the sets in the intersections.

Number of club members = 18

Number of members who did not play any instrument = 4

Number of members who played the guitar = 6

Number of members who played the piano = 10

Total number of members who played either the guitar or piano = 16

Number of club members who played instruments = 14

Number of club members who played both piano and guitar = 2 (16 - 14)

Thus, we can conclude that 2 club members played both the piano and the guitar.

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Step-by-step explanation:

of a right triangle if the longer leg is 11 feet more than the shorter leg and the hypotenuse is 11 feet less than twice the shorter leg.

Using the concept of proportions and ratios on the similar triangles, the value of x is 48 units

Similar triangles are triangles that have the same shape but may differ in size. They have corresponding angles that are equal and corresponding sides that are proportional. In other words, the ratios of the corresponding sides of similar triangles are equal.

The concept of similar triangles is based on the fundamental property that corresponding angles in similar shapes are equal, and the corresponding sides are proportional.

To determine the value of x, we can apply the concept of proportions and ratio on the similar triangle;

x / 36 = 64 / x

Cross multiplying both sides

x * x = 36 * 64

x² = 2304

x  = √2304

x = 48 units

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Trigonometry is the branch of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given:

sin x= -3/√13

So, B = √13 - 9 = √4 =2

cos x= 2/ √13

So, sin 2x= 2 sin x cos x =2 (-3/√13 )(2/√13 ) = -12/√13

and, cos 2x= 1- 2 sin²x

                  = 1- 2( -3/ √13 )²

                  = -5/ √13

and, tan 2x = sin 2x/ cos 2x = 5/12

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The difference in height of the siblings is 11 / 18 ft

Difference in mathematics is the subtraction of one number from another.

Destiny is 5 5 /6 feet tall and his younger brother is 6 4 /9 feet tall. The difference in the height of the sibling can be computed as follows:

lets covert to improper fraction first. Therefore,

5 5 / 6 = 35 / 6

6 4  / 9 = 58 / 9

Therefore,

Therefore, the difference is 11 / 18 ft

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Answer:

$68.76

Step-by-step explanation:

price: $62.79

tax percent: 9.5%

total with tax : $62.79 + 9.5% of $62.79

= $68.755

Answer:

B. The​ t-distribution has less spread as the degrees of freedom increase​ because, as n​ increases, s becomes closer to sigma by the law of large numbers.

Step-by-step explanation:

The sample standard deviation, s gets considerably closer to the population standard deviation, σ, this trend follows the proposition of the law of large numbers whereby the mean or average value changes as the sample size, n increases. According to the law of large numbers, as the sample size increases, the sample mean gets continously closer to the population mean, sample standard deviation follows this same trend and thus variability or spread decreases as sample size increases.

The plausible reason that explains why the t-distribution will have a less spread as the number of degrees of freedom increases is because: as n​ increases, s becomes closer to by the law of large numbers. (Option B)

Note the following:

Therefore, the plausible reason that explains why the t-distribution will have a less spread as the number of degrees of freedom increases is because: as n​ increases, s becomes closer to by the law of large numbers. (Option B)

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Answer:

Nine is thirty-six percent of twenty-five

Answer:

The answer’s 25

The number the spinner is most likely to land on is 2

From the question, we have the following parameters that can be used in our computation:

The spinner

From the spinner, we have the number that covers the largest area to be 2

i.e.

Largest area = 2

This means that the number it is most likely to land on is 2 and it has the highest probability

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C. 8

8/3 = g/3

, x3 both side

8/3 x 3 = g

8/3 x 3/1 = g

24/ 3 = g

8 = g

Hope this helps!

In scatter plot, 12 .4 million is  the number of households with cable television in year 10.

What is  scatter plot?

A scatter plot is a collection of dots that have been plotted along a horizontal and vertical axis. Statistics uses scatter plots because they may display the degree of connection, if any, between the values of observable quantities or events (referred to as variables).

       slope = 9 - 5/7 - 1  = 4/6  = 2/3

             N - 5 = 2/3 (T - 1 )

             N(t) = 2/3 T + 13/3

when    t = 11

        N(11) = 2/3  * 11 + 13/3

               = 35/3

               = 12.4

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Answer:bals

Step-by-step explanation:25(number of hours worked) +80$ for initial charge

Answer:

25x+80

The number of hours is x for services

Step 1:

Concept

To be rational the decimal version must either terminate or have a piece that repeats over and over forever.

Step 2:

All rational numbers are real numbers, so this number is rational and real.

Final answer