What is the pattern in the values as the exponents increase?

The mortgage loan amount is $82,500. The closing costs are 3 percent of the loan amount. Therefore, the total closing costs are $2,475.

Sarah Wood and her husband are purchasing a house for $87,500.00, but they are making a down payment of $5,000.00. Therefore, the mortgage loan amount is $87,500 - $5,000 = $82,500. The closing cost for this mortgage loan is 3 percent of the loan amount. Thus, to calculate the total closing costs, we multiply the loan amount by 3%. Therefore, total closing costs are $82,500 * 0.03 = $2,475.00.

So, total closing costs are $2,475.00.

https://brainly.com/question/22757075

#SPJ12

The total closing costs are $2,475.00.

To calculate the total closing costs, we need to find 3 percent of the mortgage loan amount.

First, calculate the mortgage loan amount by subtracting the down payment from the house price: $87,500.00 - $5,000.00 = $82,500.00.

Then, find 3 percent of $82,500.00 by multiplying it by -

0.03: $82,500.00 * 0.03

= $2,475.00.

So, the total closing costs are $2,475.00.

https://brainly.com/question/22757075

#SPJ12

The answer is 6

Trust me!

It's not four nor 8 is 6

The 4 cookies can be divided into 6 pairs of cookie pieces:

4 divided by 2/3 = 6

Answer:

C.

Step-by-step explanation:

Answer:

Choice c is the answer.

Step-by-step explanation:

We have given a expression.

[tex]\frac{\sqrt{x} }{\sqrt{x}+\sqrt{5}}[/tex]

We have to find the rationalized form of above expression.

Multiplying and dividing by [tex]\sqrt{x}-\sqrt{5}[/tex] to given expression,we have

[tex]\frac{\sqrt{x} }{\sqrt{x}+\sqrt{5}  } \frac{\sqrt{x}-\sqrt{5}  }{\sqrt{x}-\sqrt{5}  }[/tex]

[tex]\frac{\sqrt{x}(\sqrt{x}-\sqrt{5})}{(\sqrt{x})^{2}-(\sqrt{5})^{2}}[/tex]

[tex]\frac{(\sqrt{x})^{2}-\sqrt{5}\sqrt{x}}{x-5}[/tex]

[tex]\frac{x-\sqrt{5x} }{x-5}[/tex] which is the rationalized form of given expression.

twenty seven percent.

The percent change in the price of gasoline from September to October is calculated using the formula for percent change. Subtracting the September price from the October price and dividing by the September price yields a 15% increase.

To calculate the percent change in the price of gasoline from September to October, we use the formula for percent change, which is
(New Price - Old Price) / Old Price
x 100%. In this case, the price in September was $1.80, and the price in October was $2.07.

The percent change can be calculated as follows:

Therefore, the percent change in the price of gasoline from September to October is 15%.

Answer:

yes

Step-by-step explanation:

Substitute x = - 10 into the equation and if the value obtained equals - 34 then the point satisfies the equation and lies on the line

x = - 10 : y = (3 × - 10) - 4 = - 30 - 4 = - 34 ← agrees

Hence (- 10, - 34) lies on the line y = 3x - 4

Answer:

  4 oz of water must be evaporated

Step-by-step explanation:

If we let x represent the amount of water to be evaporated, the relation between the solutions is ...

  0.08 · 36 oz = 0.09 · (36 -x) oz

  0.09x = 36(0.09 -0.08) . . . . . divide by oz; add .09x, subtract .08·36

  x = 36· 0.01/0.09 = 36/9 = 4

4 ounces of water must be evaporated.

Answer:

Step-by-step explanation:

the answer to the problem is c

The answer is actually B) 1.25

(-8)(-12)(2) = -8 • -12 • 2

192 //It's positive because - - = +.

Answer: 192

//Hope it helps.

Answer with explanation:

Here the meaning of equivalent expression is that, the value of the expressions after applying operations ,that is original expression and equivalent expression is Identical.

We have to find that expression which is equivalent to:

 (-8)×(-12)×(2)

Integers follows Associative Property, that is for any three Integers

→→ a × (b×c)=(a×b)×c=(a×c)×b

So, equivalent expression of   →→  (-8)×(-12)×(2)

1.→ [(-8)× (-12)]× (2)

2.→[(-8)×(2)]×(-12)

3.→[(2)×(-12)]×(-8)

4.→ 192

the lesser number is 5.

Let the first number = x

Let the second number = y

set up two equations

x + y = 17

2/3 x -3 = y

sub the second equation into the first one

x + 2/3 x - 3 = 17

collect like terms (1x = 3/3 x)

5/3 x - 3 = 17

add 3 to both sides

5/3 x = 20

multiply by 3 on both sides

5x = 60

divide by 5 on both sides

x = 12

sub back in one of the equations and solve to find the other number:

x + y = 17

12 + y = 17

y= 5

•have a good day• :) ~ ♡lipika♡

The lesser number is 5.

Let us consider that first number is x .

Since, second number is 3 less than 2/3 of the other number.

So that, second number [tex]=\frac{2}{3}x-3[/tex]

The sum of both number is 17.

             [tex]x+\frac{2}{3}x-3=17\\\\\frac{5}{3}x=17+3\\\\\frac{5}{3}x=20\\\\x=20*\frac{3}{5}=12[/tex]

Lesser number is. [tex]=\frac{2}{3}x-3=\frac{2}{3}*12-3=5[/tex]

Hence, the lesser number is 5.

Learn more:

https://brainly.com/question/16450098

Answer:

11.99 ft

Step-by-step explanation:

The formula for the volume of a cyl. of radius r and height h is V = πr²h.

Solving this immediately for h yields:

         V

h = ----------

         πr²

Inserting the known quantities results in:

         V           1356.48 ft³

h = ---------- = ----------------------      Note that r = (1/2)d, so r = (1/2)(12 ft) = 6 ft

         πr²         3.14159 (6 ft)²

   =   11.994 ft

The height of the cyl. is 11.99 ft (to the nearest hundredth foot)

Final answer:

To find the height of the cylinder with a volume of 1,356.48 cubic feet and a diameter of 12 feet, divide the volume by the area of the base (calculated with a radius of 6 feet) to get approximately 11.99 feet.

Explanation:

To calculate the height of a cylinder when the volume and diameter are given, we use the formula for the volume of a cylinder, V = πr²h, where V is the volume, r is the radius, and h is the height. In this case, we have a volume of 1,356.48 cubic feet and a diameter of 12 feet, meaning the radius is 6 feet (half of the diameter). So we can plug these values into our formula to solve for h.

First, calculate the area of the base (πr²): 3.14159 × (6 feet)² = 3.14159 × 36 = 113.0976 square feet. Then we divide the given volume by this area to find the height: 1,356.48 cubic feet / 113.0976 square feet = 11.99 feet. Therefore, the final answer for the height of the cylinder is approximately 11.99 feet.

Answer: [tex]f(x)=4^x[/tex]

Step-by-step explanation:

The general exponential function is given by :-

[tex]f(x)=Ab^x[/tex], where A is initial amount , b is multiplicative growth rate and x is time period.

Also, the multiplicative growth rate is the common ratio of the consecutive terms.

From the given table , [tex]b=\dfrac{256}{64}=4[/tex]

Substitute, x = 3 , f(x)=64 and b=4 , we get

[tex]64=A(4)^3\\\\\Rightarrow\ 64=A(64)\\\\\Rightarrow\ A=1[/tex]

Hence, the exponential function represents the data in the table is

[tex]f(x)=(1)(4)^x\\\\\Rightarrow\ f(x)=4^x[/tex]

You have to plug the values in the expression and see if it returns zero.

The only points where the function evaluates to zero are [tex] x=\pm 3[/tex] and [tex]x=6[/tex]

Answer:

5.94x10^1

Step-by-step explanation:

In scientific notation all numbers are written in the form of m×10n (m times ten raised to the power of n), where the exponent n is an integer, and the coefficient m is any real number, called the significand or mantissa. If the number is negative then a minus sign precedes m (as in ordinary decimal notation).

Answer:

~

Step-by-step explanation:

There isn't enough context information to solve the following problem.

Answer:

[tex]\large\boxed{(-5x^2-3x-7)+(-2x^3+6x-8)=-2x^3-5x^2+3x-15}[/tex]

Step-by-step explanation:

[tex](-5x^2-3x-7)+(-2x^3+6x-8)\\\\=-5x^2-3x-7-2x^3+6x-8\qquad\text{combine like terms}\\\\=-2x^3-5x^2+(-3x+6x)+(-7-8)\\\\=-2x^3-5x^2+3x-15[/tex]

Answer:

[tex]4x^{4}[/tex]

Step-by-step explanation:

Given in the question an expression,

[tex](256x^{16})^\frac{1}{4}[/tex]

As we know that,

[tex]x^{\frac{1}{4} }= \sqrt[4]{x}[/tex]

so

[tex]\sqrt[4]{256x^{16} }[/tex]

it could also be written as

[tex]\sqrt{\sqrt{256x^{16} } }[/tex]

First to solve inner square root

[tex]\sqrt{256x^{16} } = 16x^{16/2}[/tex]

[tex]\sqrt{16x^{8} }[/tex]

Second outer square root

[tex]\sqrt{16x^{8}}=4x^{8/2}[/tex]=[tex]4x^{4}[/tex]

Answer:

(3p-2)(2p+3).

Answer:

Step-by-step explanation:

-12x+x+26+15-2-3=0

-11x+36=0

-11x=-36

x=36/11

or x=3.2̅7̅

Answer:

y =0

Step-by-step explanation:

From the equation;

8³ × 8⁻⁵×8^y = 8⁻²= 1/8²

From the laws of indices;

aⁿ×aⁿ = a^2n

Therefore;

8³ × 8⁻⁵×8^y = 8^(3+-5+y)

8^(-2+y) = 8^-2 ; but the bases are the same and thus the exponents are the same;

-2 + y = -2

      y = 0

Answer:

The value of y is 0

Step-by-step explanation:

8³ * 8^-5*8^y = 8^-2 or 1/8²

Taking indices of both sides

From first law of indices;

Multiplication sign change to addition; i.e. x^a * x^b = x^(a + b).

So,

8³ * 8^-5*8^y = 8^-2

Becomes

8^(3 + (-5) + y) = 8^-2

Same base of 8 can cancel one another. So, we're left with

3 + (-5) + y = -2

Open the bracket

3 - 5 + y = -2

-2 + y = -2

Make y the subject of formula

y = 2 - 2

y = 0

Hence, the value of y in the equation is 0

Answer: OPTION A

Step-by-step explanation:

A relation is a function if for each value of x (input value) there is an unique value of y (output value).

For the equation given in the problem:

[tex]y=|x|+6[/tex]

There is an unique value of y for each value of x.

Therefore, the equation is a function and a function is also  a relation.

Then, the answer is the option A

Answer:

A

Step-by-step explanation:

Answer:

x equals six start fraction one over two end fraction

Step-by-step explanation:

Segments which are parallel have the same slope. Find the slope of of YZ. Then using that value, find the slope WX and solve for the value of x.

Slope of YZ is:

[tex]m = \frac{y_2-y_1}{x_2-x_1} = \frac{6-2}{5-2} =\frac{4}{3}[/tex]

Since they are parallel, then WX has a slope of 4/3 too.

Slope of WX is:

[tex]m = \frac{y_2-y_1}{x_2-x_1}\\\\\frac{4}{3} = \frac{-4--2}{5-x}\\\\\frac{4}{3} =\frac{-2}{5-x}\\\\ (5-x)\frac{4}{3} = -2\\\\ 20 - 4x = -6\\\\-4x = -26 \\\\ x = 6 \frac{1}{2}[/tex]

Answer: 60

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

5−

x

3

=−15

5+

−1

3

x=−15

−1

3

x+5=−15

Step 2: Subtract 5 from both sides.

−1

3

x+5−5=−15−5

−1

3

x=−20

Step 3: Multiply both sides by 3/(-1).

(

3

−1

)*(

−1

3

x)=(

3

−1

)*(−20)

x=60

Answer:

hey buddy theres no 60 in any of the choices.

Step-by-step explanation:

Answer:

30.6

Step-by-step explanation:

Area of Parallelogram = base x altitude

base = 6.8

altitude = 4.5

6.8 x 4.5 = 30.6

Answer:

28 and a=lenth times width

Step-by-step

mutiply 7 time 4 and it is 28

Answer:

D. (2,1)

Step-by-step explanation:

Fill in the value for y from the first eq (6x-11) into the second:

-2x - 3(6x-11) = -7

Now simplify:

-2x -18x + 33 = -7

-20x = -7-33

20x = 40

x = 2

Now that we have x, plug it into the top eq to get y:

y = 6*2 - 11 = 1

Et voila, x=2 and y=1, so the solution is (2,1).

Answer:

X= 2 and Y=1

Step-by-step explanation:

✯Hello✯

↪  So you know what y is so you can substitute into -2x-3y=-7

↪  -20x+33=-7 (thats after you expand the brackets)

↪ -20x=40

↪  this means that x=2. Therefore if u substitute y=1 and its on the options

❤Gianna❤

Answer:

He must sell $14000 of merchandise

Step-by-step explanation:

The salesperson earns a base salary of $800

This means that he must make

$3600 - $800 = $2800 worth of commisions

Let x, be the value of the mechandise that he needs to sell.

This means that

x*0.20 = $2800

x  = $2800/0.20

x = $14000

He must sell $14000 of merchandise

Answer:

-6

Step-by-step explanation:

-84=6(p-8)

-84=6p-48

+48       +48

-36=6p

-36/6=6p/6

-6

Hope this helps

Please mark me as Brainliest

Answer:

4

Step-by-step explanation:

You can divide all the x from the y like , 45/9 =4 so it equals four

Yes, the table does show a proportional relationship and the constant of proportionality is 4.

If the corresponding elements of two sequences of numbers have a constant ratio,

Known as the coefficient of proportionality or proportionality constant, then the two sequences of numbers are proportional or directly proportional.

We know constant of proportionality is when we have the same multiplicative or division factor between two variables.

Given, when x = 3, y = 12, So y = 4x.

Again when x = 6 , y = 24, so, y = 4x and from observation we can conclude that y is 4 times of x or y = 4x.

∴ The constant of proportionality is 4.

learn more about proportionality here :

https://brainly.com/question/8598338

#SPJ5

I think it's d but not sure

movies is 2.59 and videos is 5.944

//Hope this helps

The correct answer is $6.50 for each video game and $2.50 for each movie. My work:

3 x 2.50 = $7.50 and 5 x 6.50 = $32.50

32.50 + 7.50 = $40.00

12 x 2.50 = $30.00 and 2 x 6.50 = $13.00

30.00 + 13.00 = $43.00

Hope this helps.