substitution method
4x + y = 14
6x - 3y = 3​

Answer:

I will give you three, but the answer is the number that has a 50

Step-by-step explanation:

52

654

7657

50 is the numbers that have a 5 in 10 times the value of the 13,725.

Place value is the value of each digit in a number.

For example, the 5 in 350 represents 5 tens, or 50; however the 5 in 5006 represents 5 thousands, or 5000.

Now the given number is,

13,725

10 times of the number is givens as,

13,725*10

or, 137,250

here place value of 5 in 137,250 is 5 tens or 50.

Therefore, 50 is the numbers that have a 5 in 10 times the value of the 13,725.

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Answer:

volume = 33.5 in³

Step-by-step explanation:

Formula:

\(\sf volume \ of \ a \ cone=\dfrac13\pi r^2h\)

Given:

Substituting the given values into the formula:

\(\sf \implies volume=\dfrac13 \times 3.14 \times 2^2 \times 8\)

                  \(=\dfrac13 \times 3.14 \times 4 \times 8\)

                  \(\sf =33.49333333...\)

                  \(\sf =33.5 \ in^3 \ (nearest \ tenth)\)

The answer is in the image below ↓

Hope this helps! :)

Answer:

We don't have the tax rate so I'll just explain how to do it

Step-by-step explanation:

158,500 multiplied by ( a unit of one subtracted (-) from the percentage of tax rate in decimal form ) is the total of money Miranda made after tax

The most reasonable conclusion based on the given information is: Salad Supreme is increasing the number of restaurants by 10% each year. Option B

Based on the given equation y = 195(1.10)^x, where x represents the number of years since 2005 and y represents the number of Salad Supreme restaurants, we can draw the following conclusions:

A. Salad Supreme had 110 restaurants in 2005: This conclusion is not supported by the given equation.

B. Salad Supreme is increasing the number of restaurants by 10% each year: This conclusion is supported by the equation.

C. Salad Supreme is increasing the number of restaurants by 195 each year: This conclusion is not supported by the equation.

D. Salad Supreme is increasing the number of restaurants by 110% each year: This conclusion is not supported by the equation. The growth factor of 1.10 (or 10%) indicates a 10% increase each year, not 110%.

Therefore, the most reasonable conclusion based on the given information is: Salad Supreme is increasing the number of restaurants by 10% each year.

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Skipper's finance charge at the end of the billing period is given as follows:

$14.77.

The finance charge is obtained using simple interest, as there is a simple compounding per year for the debt, and the charge is the amount of interest accrued during the period of one month.

The amount of interest accrued after t years, using simple interest, is given as follows:

I(t) = Prt.

The parameters for the equation are given as follows:

Considering a period of one month = 1/12 of an year, the values of these parameters for this problem are given as follows:

P = 933, r = 0.19, t = 1/12.

Hence the finance charge for Skipper's purchase is calculated as follows:

I = 933 x 0.19 x 1/12 = $14.77.

(rounding to the nearest penny = nearest cent).

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9514 1404 393

Answer:

  -1

Step-by-step explanation:

We notice that we want term a1 and have terms a17 and a33. These terms (every 16-th term) form an arithmetic sequence. The middle term (a17) is the average of the other two, so we have ...

  a17 = (a1 +a33)/2

  2a17 -a33 = a1 = 2(10) -21 = -1

  a1 = -1

_____

Additional comment

You could go to the trouble to find the general term of the sequence.

  an = a1 +d(n -1)

  a17 = a1 + d(17 -1) = 10

  a33 = a1 + d(33 -1) = 21

Subtracting the first equation from the second, we have ...

  16d1 = 11

  d1 = 11/16

Using the first equation, we find ...

  a1 +(11/16)(17 -1) = 10

  a1 = 10 -11 = -1 . . . . same as above.

Answer:

C) -4   1

   -2   -7

Step-by-step explanation:

I got it right on Edge 2021

The value of x in expression is,

⇒ x = [- 4, 1, - 2, - 7]

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

The expression is,

[-1, -2, 4, 8] + x = [-5,- 1, 2, 1]

Now, We can simplify as;

x = [- 5, - 1, 2, 1] - [ - 1, - 2, 4, 8]

x = [- 4, 1, - 2, - 7]

Thus, The value of x in expression is,

⇒ x = [- 4, 1, - 2, - 7]

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Answer:

5/6 - 1/3 = 5/6 - 2/6 = 3/6 = 1/2 more cups of flour. Hope this helps!

Answer:

1/3 x 2/2 = 2/6

5/6 - 2/6 = 3/6

3/6 / 3/3 = 1/2

1/2 more flour than sugar

Hope this helps. If you have any questions you can ask.

Step-by-step explanation:

On solving the provided question, we can say that  equation that has a solution of 4 is -8+16=0

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

If we solve   -8+16=0, we get

-4-4n+16=0

(-4)-4(-4)=0

(-4)(-4)=0

which give -4=0

=4

Hence, the equation  -8+16=0 has solution =4.

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To set up the amortization table, we can use the mortgage and interest formulas as follows:

Mortgage formula:

M = P [ i(1 + i)^n / (1 + i)^n - 1]

where M is the monthly payment, P is the principal (the amount borrowed), i is the monthly interest rate (APR divided by 12), and n is the total number of payments (20 years multiplied by 12 months per year).

Interest formula:

I = P * i

where I is the monthly interest payment, P is the remaining principal balance, and i is the monthly interest rate.

Using these formulas, we can set up the following amortization table for the first two months:

Month Payment Principal Interest Balance

1    $400,000

2    

To fill in the table, we need to calculate the monthly payment (M) and the monthly interest payment (I) for the first month, and then use these values to calculate the principal payment for the first month. We can then subtract the principal payment from the initial balance to get the balance for the second month, and repeat the process to fill in the remaining columns.

To calculate the monthly payment (M), we can use the mortgage formula:

M = P [ i(1 + i)^n / (1 + i)^n - 1]

where P is the principal amount, i is the monthly interest rate, and n is the total number of payments.

Plugging in the given values, we get:

M = 400,000 [ 0.00279 (1 + 0.00279)^240 / (1 + 0.00279)^240 - 1]

M = $2,304.14

Therefore, the monthly payment is $2,304.14.

To calculate the interest payment for the first month, we can use the interest formula:

I = P * i

where P is the remaining principal balance and i is the monthly interest rate.

Plugging in the values for the first month, we get:

I = 400,000 * 0.00279

I = $1,116.00

Therefore, the interest payment for the first month is $1,116.00.

To calculate the principal payment for the first month, we can subtract the interest payment from the monthly payment:

Principal payment = Monthly payment - Interest payment

Principal payment = $2,304.14 - $1,116.00

Principal payment = $1,188.14

Therefore, the principal payment for the first month is $1,188.14.

To calculate the balance for the second month, we can subtract the principal payment from the initial balance:

Balance = Initial balance - Principal payment

Balance = $400,000 -$1,188.14

Balance = $398,811.86

Therefore, the balance for the second month is $398,811.86.

Using these values, we can complete the first two rows of the amortization table as follows:

Month Payment Principal Interest Balance

1 $2,304.14 $1,188.14 $1,116.00 $398,811.86

2    

To fill in the remaining columns for the second month, we can repeat the process using the new balance of $398,811.86 as the principal amount for the second month. We can calculate the interest payment using the same method as before, and then subtract the interest payment from the monthly payment to get the principal payment. We can then subtract the principal payment from the balance to get the new balance for the third month, and repeat the process for the remaining months of the amortization period.

Answer:

After 11years there'll be$602.880

Step-by-step explanation:

Amount after 11years

=$400(1+3.8/100)¹¹

=$602.880

The after 11 years the amount will be $602.880

We have given that,

Ariana invested $400 in an account paying an interest rate of 3.8% compounded monthly.

\(A=p(1+r)^n\)

Amount after 11 years,

\(P=$400r=3.8\)

\(=\frac{3.8}{100} =0.38\)

\(=$400(1+3.8/100)^{11}\)

\(=$602.880\)

Therefore the after 11 years the amount will be $602.880.

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The mean installation time is either (40.78 or 44.66)

Mean is an essential mathematical and statistical concept. The mean is the average or most frequent value among a set of numbers.

It is a measure of the central tendency of a probability distribution based on the median and the mode. It is also known as the expected value.

It is a statistical concept with significant importance in finance. The concept is utilized in a variety of financial fields, such as portfolio management and business valuation.

The mean installation time is either (40.78 or 44.66)

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Answer: (40.76,44.64)

Step-by-step explanation:

Correct answers:

$\left(40.76,\ 44.64\right)$

A 95% confidence interval for μ is (x¯−zα/2σn−−√,x¯+zα/2σn−−√). Here, α=0.05, σ=7, and n=50. Use Excel to calculate the 95% confidence interval.

1. Open Excel, enter the given data in column A, and find the sample mean, x¯, using the AVERAGE function. Thus, the sample mean is x¯=42.7.

2. Click on any empty cell, enter =CONFIDENCE.NORM(0.05,7,50), and press ENTER.

3. The margin of error, rounded to two decimal places, is zα/2σn−−√≈1.94. The confidence interval for the population mean has a lower limit of 42.7−1.94=40.76 and an upper limit of 42.7+1.94=44.64.

Thus, the 95% confidence interval for μ is (40.76,44.64).

a) The definition of the composite function is: \((f \circ g)(x) = \frac{6}{12 + 2x}\)

b) The domain of the composite function is: (-∞, -6) U (-6, -2) U (-2,0) U (0, ∞).

The composite function of f(x) and g(x) is given by the function rule presented as follows:

(f ∘ g)(x) = f(g(x)).

For the composition of two functions, we have that the output of the inner function, which in this example is given by g(x), serves as the input of the outer function, which in this example is given by f(x).

The functions for this problem are given as follows:

Hence the composite function is obtained as follows:

\((f \circ g)(x) = f(\left\frac{6}{x}\right)\)

\((f \circ g)(x) = \frac{\frac{6}{x}}{\frac{6}{x} + 2}\)

\((f \circ g)(x) = \frac{\frac{6}{x}}{\frac{12 + 2x}{x}}\)

\((f \circ g)(x) = \frac{6}{12 + 2x}\)

The domain is all real values except x = 0, x = -2 and x = -6, as f(x) is not defined at x = -2 and g(x) is not defined at x = 0 and the composite function is not defined at x = -6, hence the interval notation is:

(-∞, -6) U (-6, -2) U (-2,0) U (0, ∞).

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We are given two curves on a graph paper and we have to find the y values for the given x.

From the graph we can check for a value of x, what is the value of y from the curve.

x     -3     -2     -1    0      1         2        3

Exp  8      4      2    1      0.5  0.25  0.125

Lin.   7.5   6    4.5   3      1.5     0     -1.5

We find that the two have the same values where the two curves intersect.

From the graph we find that near to -3 and near to 2 both have the same values.

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The missing graph is attached below.

Answer:

343

Step-by-step explanation:

f(x) = x - 1 and g(x) = x^3

g(f(8))

First find f(8) = f(8-1) = 7

Then find g(7) = 7^3 = 343

g(f(8) = 343

Answer:

I will assume that you meant to type (g o f)(8).

First we find f(8).

f(8) = 8 - 1 or 7.

We now find g(f(8)), which means g(7).

g(7) = 7^3 or 343

(g o f)(8) = 343:

Answer:

36

Step-by-step explanation:

Number of new houses  = 60

Number of houses sold last month = (1/4) of 60

                                                          \(= \frac{1}{4}*60\)

                                                          = 15

Remaining houses  = 60 - 15 = 45

Number of houses sold this month = (1/5) of 45

                                                          \(=\frac{1}{5}*45\\\\= 9\)

Number of houses that are left = 45 - 9 = 36

Step-by-step explanation:

7! = 5040 ways

The price of the bed after mark up is $475.00

Discount results in the reduction of the selling price of the product, which makes it more attractive for the customer.

The first discount given is 25% , therefore the price of the bed before mark up is

25/100 × 800

= 25×8

= 200

the price before mark up = 800-200 = $600

Another 25% is given after the first sale, there the price of the bed after mark up is

25/100 × 600

=$ 125

price after markup = 600-125

= $475.00

therefore the price of the bed after markup is $475.00

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Answer:

see explanation

Step-by-step explanation:

2

4x² + 64 ← factor out the common factor of 4 from each term

= 4(x² + 16)

3

(a - 10)² = 121 ( take square root of both sides )

a - 10 = ± \(\sqrt{121}\) = ± 11 ( add 10 to both sides )

a = 10 ± 11

then

a = 10 - 11 = - 1

a = 10 + 11 = 21

Bryan invested $1600 in the first account (earning 11% interest) and $4900 (6500 - 1600) in the second account (earning 7% interest).

Let's assume that Bryan invested an amount of x dollars in the first account, which earns 11% interest, and (6500 - x) dollars in the second account, which earns 7% interest.

The interest earned from the first account can be calculated as 0.11x, and the interest earned from the second account can be calculated as 0.07(6500 - x).

According to the problem, the total interest earned after one year is $519. So we can set up the equation:

0.11x + 0.07(6500 - x) = 519

Simplifying the equation:

0.11x + 455 - 0.07x = 519

0.04x + 455 = 519

0.04x = 64

x = 64 / 0.04

x = 1600

Therefore, Bryan invested $1600 in the first account (earning 11% interest) and $4900 (6500 - 1600) in the second account (earning 7% interest).

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The volume of the baseball, to the nearest cubic inch, is A. 6 inches³

Volume is a degree of occupied three-dimensional space. it is often quantified numerically as the usage of SI-derived devices or with the aid of various imperial units.

Whereas the fundamental method for the region of a rectangular form is period × width, the fundamental formulation for volume is duration × width × top. How you talk to the distinctive dimensions does no longer exchange the calculation: you may, as an example, use 'depth' instead of 'peak'.

Quantity is the measure of the capacity that an object holds. For instance, if a cup can keep 100 ml of water as much as the brim, its volume is said to be 100 ml. Quantity can also be defined as the quantity of space occupied by way of a three-dimensional object.

The volume of a sphere is calculated by the formula:

= 4/3 x π x radius ³

A baseball is a sphere and in this case, its radius is 1.13 inches.

The volume of the baseball is:

= 4/3 x 22/7 x 1.13³

= 4/3 x 22/7 x 1.442897

= 6.0464 inches³

To the nearest inch it is:

= 6 inches ³

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Answer:

237+496= 733

600-321= 279

993-294= 699

The expression representing the statement is 4 x.

Let the number be x.

We need to find the expression to the given statement.

When we will multiply the number by 8, we will get that:

8 × x

= 8 x

Now, we have to add 2 to the product. So, we get that:

= 8 x + 2

Now, we have to divide the sum by 2. So, we get that:

= (8 x + 2) / 2

= 4 x + 1

Now, we need to subtract 1 from the quotient. So, we get that:

= 4 x + 1 - 1

= 4 x

Therefore, the expression representing the statement is 4 x.

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The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Answer:

۴۶-(-۳۵)=۸۱

Step-by-step explanation:

We can use the formul

Remember that

1 ft=12 in

so

32 ft=32*12=384 in