20. This week Raul's sales were $4000. Hisgoal was $5000 for the week. Last year'ssales for this same week were $3500.What percentage of his goal did Raulachieve this week?(1) 80%(2)87.5%(3) 11434%(4) 120%(5) 125%

The solution to the system of equations is x = 1 and y = -3.

To solve the system of equations using the substitution or elimination method, let's start with the substitution method.

Given equations:

y = 4x - 7

4x + 2y = -2

We'll solve equation 1) for y and substitute it into equation 2):

Substituting y from equation 1) into equation 2):

4x + 2(4x - 7) = -2

4x + 8x - 14 = -2

12x - 14 = -2

Now, we'll solve this equation for x:

12x = -2 + 14

12x = 12

x = 12/12

x = 1

Now that we have the value of x, we can substitute it back into equation 1) to find y:

y = 4(1) - 7

y = 4 - 7

y = -3

Therefore, the solution to the system of equations is x = 1 and y = -3.

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Answer:

6026

Step-by-step explanation:

6072 × (1 - 0.76%)

6072 × 0.9924

= 6025.8528

Round to the whole number.

The enrollment for next semester will be 6026.

Answer:

B.  8 donkeys and 20 horses..

Step-by-step explanation:

Because

2*4=8

5*4=20

Answer:

8 donkeys and 20 horses

Step-by-step explanation:

2/5 * 4 over 4 = 8/20

we have that

alternate exterior angles

< 1 and <5

<2 and <6

alternate interior angles

<3 and <7

<4 and <8

same side interior angles

<3 and <4

<7 and <8

corresponding angles

<1 and <7

<8 and <6

<2 and <4

<3 and <5

Pairs that are congruent------> all pairs are congruent except same side interior angles)

< 1 and <5

<2 and <6

<3 and <7

<4 and <8

<1 and <7

<8 and <6

<2 and <4

<3 and <5

pairs that are supplementary (same side interior angles)

<3 and <4

<7 and <8

The expression can be simplified to obtain as 9 + 6t.

An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.

The variable part of an algebraic expression can never be added or subtracted from the constant part.

The given algebraic expression is 9 + 12t – 6t.

It can be simplified as follows,

9 + 12t – 6t

Here 9 is a constant.

And, the terms 12t and 6t have the same variable t.

Which implies they are like terms.

Since the like terms in an expression can be added to subtracted, the given expression can be simplified as below,

9 + 12t – 6t

⇒ 9 + 6t

Hence, the simplification of the given expression results as 9 + 6t.

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b. f(x) = x + 5, which represents a vertical shift of 5 units upwards.  f(x-a) = (x-a)^2, where a is a constant.

9) The function f(x) = x represents a linear function with a slope of 1 and y-intercept of 0. To shift the graph vertically, we need to add or subtract a constant from the function. Thus, the function that represents a vertical shift of f(x) = x would be of the form f(x) = x + b, where b is a constant.

Out of the given options, the correct answer is b. f(x) = x + 5, which represents a vertical shift of 5 units upwards.

10) To shift the graph of f(x) = x^2 horizontally, we need to add or subtract a constant inside the function, affecting the position of the vertex of the parabola. Thus, the function that represents a horizontal shift of f(x) = x^2 would be of the form f(x-a) = (x-a)^2, where a is a constant.

Out of the given options, the correct answer is a. f(x) = (x+2)^2, which represents a horizontal shift of 2 units to the left.

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Step-by-step explanation:

total income=basic salary+commission

=4700+4% of 150000

=4700+6000

total income=10700

In response to the supplied query, we may state that Margo will thus interest have to repay a total of $2160 ($2000 + $160) every year until the debt is completely repaid.

By dividing the principal by the interest rate, the passage of time, and other factors, simple interest is determined. Simple return equals principle plus interest plus hours is the formula used in marketing. The easiest way to compute interest is by using this method. The principle balance divided by the interest rate is the most typical approach to compute interest.

Margo will be required to repay the $2000 she borrowed plus an additional 8% of that sum as interest each year if she borrows the money at an 8% annual interest rate.

principle multiplied by the interest rate equals interest.

where "principal" refers to the initial loan amount and "rate" is the interest rate in decimal form. The interest rate in this situation is 8%, or 0.08 in decimal form.

Margo will so be required to pay the following interest each year:

interest: $160 x ($2,000 x 0.08)

Margo will thus have to repay a total of $2160 ($2000 + $160) every year until the debt is completely repaid.

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Answer:

Graphed this on desmos, hope it helped!!

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

When rounding, the number 5 is rounded up. So the number 387.352 will be rounded up 387.4. Other options are not suitable. Correct answer is "D"

If you think my answer is the best, please mark it as the Brainliest.
Thank you! :))

Answer:

0.23

Step-by-step explanation:

Answer:

0.23

Step-by-step explanation:

Hi dear so It is spelled Divided and Estimated.

Answer:

65/100 that is the answer to this question

The balance in the account after the given period is \(\$6,872.74\)  

we know that

The compound interest formula is equal to  

\(\text{A}=\text{P}(1+\frac{\text{r}}{\text{n}})^{\text{nt}}\)

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

\(\text{t}= 8 \ \text{years}\)

\(\text{P}=\$4,000\)

\(\text{r}=0.07\)

\(\text{n}=1\)

substitute in the formula above

\(\text{A}=\$4,000(1+\frac{0.07}{1})^{1\times8}=\$6,872.74\)  

Answer:

1: -1/5 2: 2/6 3: 5/2

Step-by-step explanation:

big brain (rise over run)

Answer:

It is most likely that, out of 25 online readers, between 12 and 13 work in the business industry.

Step-by-step explanation:

Answer:

There is about a 0.046 chance that 9 or fewer online readers work in the business industry. This is unusual and is convincing evidence that less than 50% of online readers work in the business industry.

Step-by-step explanation:

I just took the test, The other person is very wrong!!!

Answer:

\(21.7 x 10^5\)

Step-by-step explanation:

(6.2 x 10²) x (3.5 x 10³)

First, multiply the coefficients: 6.2 x 3.5 = 21.7.

Then, add the exponents: 10² x 10³ = 10^(2+3) = 10^5.

Therefore, the result is 21.7 x 10^5.

Answer:

3286000

Step-by-step explanation:

Answer:9/41

SOH = opposite over hypotenuse

Step-by-step explanation:

Answer:

V= 74.09

Step-by-step explanation:

Multiply the Length, Width & The Height.

So, 4.2x 4.2x 4x2= 74.09

Answer:

74.09 m

Step-by-step explanation:

Volume = width*hight*length

4.2*4.2*4.2 ≈ 74.09

Answer:

Step-by-step explanation:

[x² + 2( \(\frac{7}{2}\) ) x + ( \(\frac{7}{2}\) )²] - ( \(\frac{7}{2}\) )² + 36 =

( x + 3.5)² + 23.75

or

( x + \(\frac{7}{2}\) )² + \(\frac{95}{4}\)

Answer:

----------------------

There are various combinations of coins.

In total there are:

Answer:

the answer will be 2 to 12

Answer:

2 to 12

Step-by-step explanation:

just did a quiz got it right

answer: 116⁰

z⁰ for y⁰ because it's

equal

Answer:

Slope=1

Step-by-step explanation:

Slope=y1-y2/x1-x2

Where x1,y1= (1, 1) and X2,y2=(-3, -3)

Slop=1+3/1+4

=4/4

=1

So the slope is 1.

Answer:

1

Step-by-step explanation:

Here,

x₁ = 1 and x₂ = (-3)

y₁ = 1 and y₂ = (-3)

Now,

Slope

= y₁ - y₂ ÷ x₁ - x₂

= ( 1 ) - (- 3) ÷ ( 1 ) - (- 3)

= 1 + 3 ÷ 1 + 3

= 4 ÷ 4 = 1

Thus, Slope is 1

-TheUnknownScientist

The amount of the last payment that Elroy will make is $710, which includes the $200 monthly payment and a balance of $510.

The last payment amount is the result of the mathematical operations of subtraction and multiplication.

The first mathematical operation was the subtraction of the down payment from the total cost of the video game system.

Using multiplication, the monthly payments are determined to be $3,400 for 17 months.  This is subtracted from the remaining balance to obtain the last payment amount.

The cost of a custom video game/virtual sound system = $4,210

Down payment = $100

The remaining balance for monthly payment = $4,110 ($4,210 - $100)

Payment period = 18 months (1¹/₂ years)

Monthly payments = $200

Payment for the first 17 months = $3,400 (17 x 200)

Last payment = $710 ($4,110 - $3,400)

Thus, if Elroy makes the minimum monthly payment of $200 till the last payment, then he will pay $710 to settle the account.

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He made a $100 down payment and agreed to pay the entire purchase off in 1 1/2 years The minimum monthly payment is $200 if he makes the minimum monthly payment up until the last payment what will be the amount of his last payment?

The value of a must be equal to (k + 2), and then the equation is only true if k = 6, then a = 8.

We want the equation:

(k + 2)x + 3k = ax + 18

To be true for all values of x, then we must have the same thing in both sides of our equation.

Now we wod want the dependence on x to dissapear, then:

(k + 2)x = ax

(k + 2) = a

That must be value of a, and then the equation becomes:

k*x + 2x + 3k = (k+ 2)x + 18

3k = 18

This is only true if k = 6, then:

k + 2 = a

6 + 2 = a

a = 8

That must the value of a.

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Explanation:

This problem is a simple percent chage problem. The absoluge change in price was $12−$8=$4. Relative to the original price, it was 412, which is 0.3333 or 33.33%.

The point-slope forms of the equation from the information given is 1. y + 2 = ï½(x-1), 2.y - 3 = 2(x+1) , 3.y - 5 = 1(x-8), 4. y + 7 = -5/7(x+1) and 5.y - 3/2 = -1(x-1/2).

1.

slope m = ï½ and  (h, k) = (1, -2)

The point slope is y + 2 = ï½(x-1)

2.

slope = 2 , point (-1, 3)

y - 3 = 2(x+1)

3.

The line goes through the points (8,5) and (9, 6).

slope m = 6-5 / 9-8

= 1/1

= 1

y - 5 = 1(x-8)

4.

The line goes through the points (-1, -7) and (-8, -2)

slope m = -2+7 / -8+1

= 5/-7

= -5/7

y + 7 = -5/7(x+1)

5.

The line goes through the points (1/2, 3/2) and (-1/4, 5/4)

slope m = 5/4 - 3/2 / -1/4 - 1/2

= 5 - 6 / 4 / -1 + 2 / 4

= -1/1

= -1

y - 3/2 = -1(x-1/2).

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Answer:

12/32 divide by 4 and get 3/8 you can’t simplify any further after that

Step-by-step explanation:

Answer:

B (1, -3)

Step-by-step explanation:

Step 1:  Use the midpoint formula to find the coordinates of the endpoint:

Normally, we find the midpoint of a segment using the midpoint formula, which is given by:

M = (x1 + x2) / 2, (y1 + y2) / 2, where

Since we're solving for the coordinates of an endpoint, we can allow (-5, 7) to be our (x1, y1) point and plug in (-2, 2) for M to find (x2, y2), the coordinates of the endpoint B:

x-coordinate of B:

x-coordinate of midpoint = (x1 + x2) / 2

(-2 = (-5 + x2) / 2) * 2

(-4 = -5 + x2) + 5

1 = x2

Thus, the x-coordinate of the endpoint B is 1.

y-coordinate of B:

y-coordinate of midpoint = (y1 + y2) / 2

(2 = (7 + x2) / 2) * 2

(4 = 7 + x2) -7

-3 = y2

Thus, the y-coordinate of the endpoint B is -3.

Thus, the coordinates of the endpoint B are (1, -3).