Please help and explain how you got the answer!

Answer:

x=-7

Step-by-step explanation:

-2(x+3)=8

-2x-6=8

-2x=8+6

-2x=14 -2x/-2=14/-2

x= -7

if you want to be sure do the following

-2(-7+3)=8

-2(-4)=8

8=8

Answer:

$9.27

Step-by-step explanation:

Answer:

9.77$

Step-by-step explanation:

32 - 22.33 = 9.77

Answer:

According to the question: 16-?=-2

Lets take the unknown value as 'x'

So, 16-x=-2

=  -x=-2-16

=  -x= -18

And now if we cancel the negative signs it will be, x= 18

Thus, we should subtract 18 from 16 to get -2

a) The amount you will repay is approximately $12,000.

b) The annual interest rate charged by the loan company is approximately 18.2715%.

To calculate the amount you will repay and the annual interest rate charged by the loan company, we can follow these steps:

Step 1: Calculate the number of $500 increments for the loan amount:

Number of $500 increments = loan amount / $500

= $1,693 / $500

≈ 3.386

Since we can't have a fraction of an increment, we round up to 4.

Step 2: Calculate the daily payment:

Daily payment = 25 © * Number of $500 increments

= 25 © * 4

= $100

Step 3: Calculate the total repayment amount:

Total repayment amount = Daily payment * number of days

= $100 * 120

= $12,000

Step 4: Calculate the annual interest rate:

Annual interest rate = (Total repayment amount - Loan amount) / Loan amount * (360 / Number of days)

= ($12,000 - $1,693) / $1,693 * (360 / 120)

Now, let's perform the calculations:

Amount you repay ≈ $12,000

Annual interest rate ≈ (($12,000 - $1,693) / $1,693) * (360 / 120)

Calculating the annual interest rate:

Annual interest rate ≈ (($10,307) / $1,693) * 3

Rounding to four decimal places:

Annual interest rate ≈ (6.0905) * 3

≈ 18.2715

Therefore,

a) The amount you will repay is approximately $12,000.

b) The annual interest rate charged by the loan company is approximately 18.2715%.

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Answer:

1

Step-by-step explanation:

Answer:

762*79=3871

7^2=49

Step-by-step explanation:

Answer:

7 x 7 x 79  x 7 x 7 = 1913597x^4

Step-by-step explanation:

Answer:

-2.7 is the correct answer.

Answer:

d. 132

Step-by-step explanation:

x + wz

= 12 + 8(15)

= 132

Answer:

$105.65

Step-by-step explanation:

828 / 25 = 33.12 gallons needed

33.12 x 3.19 = $105.65

Answer:

5

Step-by-step explanation:

Take the number of 6th graders and multiply by the percent that have red hair

100 * 5%

100 * .05

5

Answer:

on edg its 5!

Step-by-step explanation:

Answer:

y = 9

Step-by-step explanation:

To solve this question we will use the property of perpendicular lines,

[tex]m_1\times m_2=-1[/tex]

Where [tex]m_1[/tex] and [tex]m_2[/tex] are the slopes of two lines perpendicular to each other.

Slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope of a line which passes through the points A(4, 2) and B(-1, y) will be

[tex]m_1=\frac{y-2}{-1-4}[/tex]

     [tex]=-\frac{y-2}{5}[/tex]

Slope of the line given in the graph [passing through (2, 4) and (-5, -1)]

[tex]m_2=\frac{4+1}{2+5}[/tex]

[tex]m_2=\frac{5}{7}[/tex]

From the property of perpendicular lines,

[tex]\frac{-(y-2)}{5}\times \frac{5}{7}=-1[/tex]

[tex]\frac{5(y-2)}{35}=1[/tex]

5y - 10 = 35

5y = 45

y = 9

The Annual Percentage Yield (APY) for the savings account with an APR of 6.2% and monthly compounding is approximately 6.22%.

To calculate the Annual Percentage Yield (APY) for a savings account that compounds monthly, we can use the following formula:

APY = (1 + r/n)^n - 1

Where:

r is the annual interest rate expressed as a decimal (6.2% = 0.062)

n is the number of times the interest is compounded per year (monthly compounding = 12)

Let's plug in the values and calculate the APY:

APY = (1 + 0.062/12)^12 - 1

APY = (1.0051667)^12 - 1

APY ≈ 0.062161 (rounded to five decimal places)

To convert the APY to a percentage and round it to two decimal places, we multiply the result by 100:

APY ≈ 6.22%

Therefore, the Annual Percentage Yield (APY) for the savings account with an APR of 6.2% and monthly compounding is approximately 6.22%. This indicates the effective annual rate of return you would earn on your savings, taking into account the compounding of interest over the course of a year.

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When weighing the alternatives, the suitability of each alternative can be expressed using a scoring system. The scoring system assigns scores to each alternative based on how well they fulfill the variables to consider.

The following rating scale is used:

+2: Very suitable

+1: Quite suitable

0: Neither suitable nor unsuitable

-1: Not quite suitable

-2: Not suitable at all

These scores reflect the extent to which each alternative meets the criteria or variables being evaluated. A higher positive score (+2 or +1) indicates that the alternative is highly suitable and fulfills the variables well. A score of 0 suggests that the alternative does not strongly align with the variables, neither positively nor negatively. Negative scores (-1 or -2) indicate that the alternative is not suitable and fails to fulfill the variables effectively.

By assigning scores to each alternative, decision-makers can compare and evaluate the different options based on their suitability and alignment with the desired criteria. This helps in making informed decisions and selecting the most appropriate alternative that best meets the desired objectives or requirements.

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Answer:

x = -10

Step-by-step explanation:

Step 1: Write equation

2.50x + 15.00 = 1.00x

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

2.50(-10) + 15.00 = 1.00(-10)

-25 + 15.00 = -10

-10 = -10

Answer:

x = -10

Step-by-step explanation:

multiply both sides by 10:

2.50x*10+15*10=1.00x*10

Refine:

25x + 150 = 10x

Subtract 150 from both sides:

25x + 150 - 150 = 10x - 150

Simplify:

25x = 10x - 150

Subtract 10x from both sides:

25x - 10x = 10x - 150 - 10x

Simplify:

15x = -150

Divide both sides by 15:

15x/15 = -150/15

Simplify:

x = -10

Given parameters:

To solve this problem, we need follow it stepwisely.

Let the amount raised by Manny  = M

             amount raised by Ada  = A

Now, let us go through the problem sentence by sentence and interpret it algebraically;

Algebraically;

             M  = 2A - 7    ----- (I)

             M  = A + 45    ----- (II)

Now that we have established two equations we can equate them and solve for A;

             2A - 7 = A + 45

             2A - A  = 45 + 7

                 A  = 52

Ada raised $52 during the fundraiser event.

Answer: Subtraction Property of Equality

Step-by-step explanation: The Subtraction Property of Equality tells us that

we can subtract the same quantity, or equal quantities,

from both sides of an equation.

To get from the statement 7x + 11 = 39 to 7x = 28,

we subtract 11 from both sides to get 7x = 28.

Bisection can occur an infinite number of times before there are no floating-point numbers in the interval (a,b).

Bisection refers to dividing an interval into two equal subintervals, as shown below:

First, divide the interval in half, and if the function changes sign over the interval, repeat the process with the subinterval that has the sign change until the endpoints are adjacent floating-point numbers.Thus, the interval [1,2] can be divided into two subintervals: [1,1.5] and [1.5,2]. Since both subintervals include floating-point numbers, we can bisect them again.

We now have four subintervals: [1,1.25], [1.25,1.5], [1.5,1.75], and [1.75,2]. All four subintervals include floating-point numbers, so we can bisect each of them. We now have eight subintervals, and all of them include floating-point numbers. We can continue this process indefinitely because there are an infinite number of floating-point numbers in the interval (1,2).

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Answer:

B. 3

Step-by-step explanation:

Answer:

x = -7

Step-by-step explanation:

7 - 3x = 28

-3x = 21

x = -7

Best of Luck!

Answer:

15%

Step-by-step explanation:

Divide 750 by 5000 to get 0.15, which is 15%

The ellipsoid is defined by the equation x2 + y2 + 5z2 = 100. This equation can be rewritten as (x/10)^2 + (y/10)^2 + (z/2)^2 = 1. This is the equation of an ellipsoid with semi-axes of length 10, 10, and 2.

The volume of an ellipsoid is given by the triple integral of 1 over the ellipsoid. The bounds for the integral are determined by the semi-axes of the ellipsoid. In this case, the bounds are 0 <= x <= 10, 0 <= y <= 10, and 0 <= z <= 2.

The integral simply gives the volume of the ellipsoid. In this case, the integral is equal to 10000.

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7/10

Step-by-step explanation: Your welcome

L*W=A

L*4/7=2/5

Answer:

2.28 x 10^10

Step-by-step explanation:

(3.8 x 10^6) (6 x 10^3) do distributive property 3.8 to 6 and 10^6 to 10^3

22.8 x 10^9 since its 22.8 you have to make it in "once" place, therefore, move the decimal to the left and add the exponent "1"

2.28 x 10^10 is the answer

Answer:

fraction form is 7/50

Step-by-step explanation:

The experimental probability is 2/25, written as a fraction in simplest form.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required event / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

To find the experimental probability that you are elected president and your friend is elected treasurer,

We need to count the number of times the digits 1, 2, or 3 appear in the tens place and the digits 1 or 2 appear in the ones place.

We can then divide this count by the total number of digits (50) to get the experimental probability.

From the table,

We see that the digits 1, 2, or 3 appear in the tens place 12 times, and the digits 1 or 2 appear in the ones place 19 times.

However, we are interested in the number of times both events occur together, so we need to count the number of times that the digit 1, 2, or 3 appears in the tens place and the digit 1 or 2 appears in the ones place.

We can see that this occurs 4 times (tens place: 1, ones place: 1, 2, 1, 2).

The experimental probability that you are elected president and your friend is elected treasurer is:

4/50 = 2/25

Thus,

The experimental probability is 2/25, written as a fraction in simplest form.

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Answer:

506.7 ft

Step-by-step explanation:

plug into the equation:  C = πr2

C = (π)(12.7)^2

Answer:79.8

Step-by-step explanation:

3.1 To derive the demand functions for donuts (q1) and coffee (q2), we need to maximize Maria's utility subject to her budget constraint. The budget constraint is given by p1*q1 + p2*q2 = M, where p1 and p2 are the prices of donuts and coffee, respectively, and M is Maria's weekly allowance.

To maximize utility, we set up the Lagrangian function:

L = U - λ(p1*q1 + p2*q2 - M)

Taking partial derivatives with respect to q1, q2, and λ, we get:

∂L/∂q1 = 20q1*q2 - λp1 = 0

∂L/∂q2 = 10q1^2 - λp2 = 0

∂L/∂λ = p1*q1 + p2*q2 - M = 0

From the first two equations, we can solve for λ:

20q1*q2 / λp1 = 10q1^2 / λp2

2q2 / p1 = q1 / p2

Substituting this into the budget constraint, we have:

p1*q1 + p2*(2q1/p1) = M

p1^2*q1 + 2p2*q1 = p1*M

q1 = p1*M / (p1^2 + 2p2)

Similarly, we can find q2:

q2 = (2q1 / p1) * (p1 / p2)

q2 = 2q1 / p2

Therefore, the demand function for donuts is q1 = p1*M / (p1^2 + 2p2), and the demand function for coffee is q2 = 2q1 / p2.

3.2 Given that p1 = $10, p2 = $5, and Maria's weekly allowance M = $90, we can substitute these values into the demand functions to find the optimal consumption of donuts and coffee:

q1 = (10*90) / (10^2 + 2*5) = 6

q2 = 2q1 / 5 = 2(6) / 5 = 2.4

Therefore, her optimal consumption is 6 donuts and 2.4 cups of coffee.

3.3 If Maria's weekly allowance increases to $120, the new optimal consumption can be calculated using the demand functions:

q1 = (10*120) / (10^2 + 2*5) ≈ 7.2

q2 = 2q1 / 5 = 2(7.2) / 5 ≈ 2.88

Similarly, when her weekly allowance increases to $150:

q1 = (10*150) / (10^2 + 2*5) ≈ 9

q2 = 2q1 / 5 = 2(9) / 5 = 3.6

To draw the Income Offer Curve, we can plot the combinations of q1 and q2 for different levels of Maria's weekly allowance on a graph. The x-axis represents the quantity of donuts (q1), and the y-axis represents the quantity of coffee (q2). We connect the optimal bundles obtained for each level of allowance, creating a curve that represents Maria's choices as her income changes.

3.4 The Engel Curve shows the relationship between income and the quantity demanded of a good while holding prices constant. By using the optimal consumption bundles for different levels of Maria's weekly allowance, we can plot the Engel Curve for

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Answer:

t= 19/9

Step-by-step explanation:

A bar graph is used to represent categorical data, while a histogram is used to represent continuous data.

The appropriate graph for the frequency distribution of a group of patients in a weight loss program that ranges from 185 to 312 pounds would be a histogram. This is because a histogram is a graphical representation of a frequency distribution. It is used to represent the distribution of a set of continuous data. A histogram is a graph that shows the number of times that each value appears in a set of data by grouping the data into classes of equal size. The number of values that fall within each class is represented by the height of a bar on the graph. The area of each bar is proportional to the frequency of the class.The six age groups will be grouped into classes that have the same size interval. The number of patients that fall within each class interval will be represented on the vertical axis, while the class intervals will be represented on the horizontal axis. The bars of the histogram will be plotted at the midpoints of each class interval. The height of each bar will represent the frequency of the class interval. It is important to note that a histogram is not the same as a bar graph.

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