Quadrilateral ABCD with AB = 5.5cm, BC = 3.5cm, CD = 4cm, AD = 5cm, and <A = 45°.​

The expression shows the total amount in Diego's savings account after m months is 500 - 20m.

What is the total amount?

Two numbers are added together to form the sum. It is simple to figure out the sum of small integers. You can add two numbers using your fingertips. When two or more numbers are added together, a mathematical sum or maths sum is the outcome. It is the sum of the numbers when they are added up.

Here, we have

Given: Deigo has $500 in his saving account each month he takes out $20 to pay for karate class.

Let m be the number of months. Write an expression to show the total amount in Diego's savings account after m months.

The expression:

= 500 - 20m

Here m is the number of months

Hence, the expression shows the total amount in Diego's savings account after m months is 500 - 20m.

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Answer:

Step-by-step explanation:

To get the y values all you need to do is substitute the x value in the equation y=-2/3x+7.

For example:

y=-2/3(-6)=7

-2/3x6=-4

-4+7=3

(-6,3)

You can double check your work by filling the x and y coordinates in the equation and when solved if it it true you know you were correct.

To get the x value, you need to fill in the y in the equation y=-2/3x+7

for example:

5=-2/3x+7

-2=-2/3x

3=x

(3,5)

y=-2/3x+7

y=-2/3(15)+7

y=-10+7

y=-3

(15,-3)

y=-2/3x+7

15=-2/3x+7

8=-2/3x

-12=x

(-12,15)

The percentage change in GDP is 2.04%

Percentage Change is the difference coming after subtracting the old value from the new value and then divide by the old value and the final answer will be multiplied by 100 to show it as a percentage. Generally, to convert a fraction into a percent, we multiply it by 100.

The formula of percentage change is given as

Percentage change =[ (New increase - old value) / old value] * 100

Percentage change = [(14.72 - 14.42) / 14.72] * 100

Percentage change = 2.04%

In this case, there is a percentage decrease of 2.04%

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Answer:

Step-by-step explanation:

Answer:

None

Step-by-step explanation:

it would simplify to 3=2x-3, which has no solutions.

Answer: One

Step-by-step explanation: Answer to math problem= x=3

For a curve to be a density curve, it must meet certain conditions such as it should be non-negative, and the area under the curve should equal 1. Furthermore, the curve should be continuous and smooth, and there should be no values outside the range of the data.

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If you start at (0,-4) and you move left 1 unit and right 4 units, you end at (3, -4)

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

Start = (0, -4)

Also, we have

You move left 1 unit and right 4 units

Mathematically, this can be expressed as

(x, y) = (x - 1 + 4, y)

Substitute the known values in the above equation, so, we have the following representation

Endpoint = (0 - 1 + 4, -4)

Evaluate the expression

Endpoint = (3, -4)

Hence, the endpoint is (3, -4)

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Answer:

A≈107902

Step-by-step explanation:

The $107,902 will be in account after 7 years if Ian invested $90,000 in an account paying an interest rate of 2.6% compounded quarterly

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

\(\rm A = P(1+\dfrac{r}{n})^{nt}\)

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          n = how many times interest is compounded per year

          t = How long the money is deposited or borrowed (in years)

We have:

p = $90,000

r = 2.6% = 0.026

n = 4

t = 7 years

\(\rm A = 90,000(1+\dfrac{0.026}{4})^{4\times7}\)

A = $107,901.71 ≈ $107,902

Thus, the $107,902 will be in account after 7 years if Ian invested $90,000 in an account paying an interest rate of 2.6% compounded quarterly.

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Answer:

83°

Step-by-step explanation:

-4m+51-4m+42= 158°

-8m+94= 158

-8m= 64

m= -8

JMK= -4m+51

      = -4(-8)+51

      = 32=51

      = 83°

Answer:

The perimeter of a regular heptagon is 21m. Each side is 3 m long.

Step-by-step explanation:

in the given heptagon,

perimeter(p)=21m

length(l)=?

We know that,

HEPTAGON HAS 7 SIDE

So that,

length=21/7

=3m#

Answer:

x≤-2 or x≥4

Step-by-step explanation:

Its because the direction the arrow is facing depends on the sign. So if the sign is ≤ it would go backward(or into the negatives) and its the opposite for the other sign. If the dot on the arrow it filled in then it will have a line under the sign like this: ≤. If it is a open circle it looks like this:  <.

Answer:

19 degrees, 70 degrees, and 91 degrees.

Step-by-step explanation:

The interior angles of a triangle sum to 180 degrees. 19 plus 91 is equal to 110, add 70 to 110 and you'll get 180. :)

There is no change in its slope as initial and final slope is 1.

What is slope?

In arithmetic, the slope or gradient of a line may be a variety that describes each the direction and therefore the abruptness of the line.

Main body:

formula for slope with two points form is =

y -y₁ =( y₂-y₁ /x₂-x₁ )(x - x₁)

according to question ,

points are (0,0) and (3,3)

y - 0 = (3-0/3-0)(x -0)

y = 3/3 *x

y = x

hence slope of line is 1.

Now points are (0,0) and (-3,-3).

y - 0 = (-3-0/-3-0)(x -0)

y =- 3/-3 *x

y = x

hence slope of line is 1.

So there is no change in its slope.

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Answer:

The common difference in the given sequence is 5.

Step-by-step explanation:

The common difference in the sequence is 5 because they all add by 5 each time for example 5 + 5= 10 and 10+5=15

Answer:

91

Step-by-step explanation:

due to PEMDAS, exponents first ('to the power of _')

since 3^4 is 3 * 3 * 3 * 3

3 * 3 = 9

9 * 3 = 27

27 * 3 = 81

therefore

3^4 = 81

then mutliplication (*)

2 * 5 = 10

then addition (+)

81 + 10 = 91

your answer is 91

hope this helps:)

Answer:

The Answer is 91

Step-by-step explanation:

I hope this helps Have a great day!!!!!

Saving for a down payment was worth it for Isabel. It reduces the total amount paid for the car by lowering the loan amount, resulting in less interest paid over time.

When evaluating whether saving for a down payment on a car was worth it for Isabel, we need to consider the difference in the total amount paid for the car in two scenarios: with a down payment and without a down payment. Let's analyze the two scenarios to make a judgment.

Scenario 1: With a down payment

In this scenario, Isabel saved up and made a down payment on the car. As a result, her monthly loan payment fits within her budget. By making a down payment, she reduces the principal amount borrowed and, subsequently, the interest charged on the loan.

The benefits of saving for a down payment include:

Lower loan amount: By making a down payment, Isabel reduces the total amount borrowed from the lender.

Reduced interest: With a lower loan amount, the interest charged on the loan is also reduced.

Shorter loan term: A down payment can help Isabel secure a shorter loan term, reducing the overall interest paid over time.

Scenario 2: Without a down payment

In this scenario, Isabel does not make a down payment and finances the entire purchase price of the car. As a result, her monthly loan payment may be higher, as she is borrowing a larger sum and potentially paying more interest over the loan term.

The drawbacks of not saving for a down payment include:

Higher loan amount: Without a down payment, the entire purchase price is financed, leading to a higher loan amount.

Increased interest: With a higher loan amount, more interest may accumulate over the loan term, resulting in a higher total cost of the car.

By comparing the two scenarios, we can assess the impact on the total amount paid for the car. Generally, having a down payment reduces the loan amount, decreases interest charges, and may result in a shorter loan term. This, in turn, can lead to substantial savings in the long run.

To determine the exact difference in the total amount paid for the car in each scenario, we would need specific details such as the purchase price of the car, the interest rate, and the loan term. With these figures, we could calculate the total cost of the car, including interest, in both scenarios and compare the results. Based on this analysis, we can then determine if saving for a down payment was worth it for Isabel.

In conclusion, saving for a down payment on a car can offer financial benefits such as lower loan amounts, reduced interest charges, and potentially shorter loan terms. Considering the potential cost savings and improved financial stability, it is generally advisable for Isabel to save for a down payment, making it worth the effort and consideration.

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Question

The down payment makes the monthly loan payment fit into Isabel's budget. Besides this benefit, do you think saving for a down payment on the car was worth it for Isabel? Use each monthly payment with and without a down payment) to find the difference of the total amount paid for the car in each scenario to justify your answer.

Answer:

\(B' = (-96,-24)\)

Step-by-step explanation:

Given

\(A(0,6)\)

\(B(-8,-2)\)

\(C(8,-2)\)

Required

Determine the coordinates of B' if dilated by a scale factor of 12

The new coordinates of a dilated coordinates can be calculated using the following formula;

New Coordinates = Old Coordinates * Scale Factor

So;

\(B' = B * 12\)

Substitute (-8,-2) for B

\(B' = (-8,-2) * 12\)

Open Bracket

\(B' = (-8 * 12,-2 * 12)\)

\(B' = (-96,-24)\)

Hence the coordinates of B' is \(B' = (-96,-24)\)

Answer:

Bit late but the answer is (-4,-1)

Step-by-step explanation:

Took the test in k12

The statement that is correct regarding their solutions is A. Salina combined the x squared y terms correctly but then left the Plus x squared y term in her answer.

From the information, Salina and Nessa combined like terms using the same expression.

The expression given is illustrated as.

6x²y - 3 + x²y + 2xy² + 2xy - 6

It should be noted that the like terms are:

6x²y and x²y as well as -3 and -6.

Combine the like terms

6x²y + x²y = 7x²y

Also, -3 + (-6) = -9

Therefore, the value will be 7x²y + 2xy² + 2xy - 9

The correct option is A as it illustrated the mistake Salina made.

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Answer:

A is the answer

Step-by-step explanation:

a) The radius of the sphere is given as follows: 27.13 ft.

b) The surface area can be checked as follows: S = 4 x 3.14 x 27.13² = 9244.

The surface area for a sphere of radius r is given by the equation presented as follows:

S = 4πr².

The surface area for this problem is given as follows:

9244 ft².

Hence the radius is given as follows:

\(r = \sqrt{\frac{9244}{4 \times 3.14}}\)

r = 27.13 ft.

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the answer is 28

hope this helps :)

If the normal price is x and the normal price is reduced by 12%

0.12x = 9 ⇒ x = 75

The normal price of the coat was £75 in the clothes shop.

The percentage is defined as a ratio expressed as a fraction of 100.

A clothing store is having a sale. Normal prices are discounted by 12% during the sale. In the sale, the price of a coat is decreased by £9.

We have to determine the normal price of the coat.

Let the normal price of the coat would be £x

We have to evaluate 12% of x = 9

So, 12% of x = 9

12%  is expressed as 12/100 in fractional form

⇒ (12/100)(x) = 9

12/100  is expressed as 0.12 in decimal form

⇒ (0.12)(x) = 9

⇒ x = 9/0.12

Apply the division operation, and we get

⇒ 75

Thus, the normal price of the coat was £75.

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Answer:

the answer would be A :) just took the test

Step-by-step explanation:

A certified retirement planner can assist in making retirement accounts, and the further discussion is as follows:

A retirement planner is a specialist who assists people in creating a pension program.

Their main goal is to ensure that clients have enough money to live comfortably in retirement but are well equipped to confront any challenges that come with aging.

It involves making preparations now for your future life so that you can continue pursuing all of your goals and objectives on your own.

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Answer:

I think plan b

Step-by-step explanation:

It starts at 1.5% and increases by 8.5% every year.

Please let me know if this is wrong!

Have an amazing day!

PLS MARK BRAINLIEST!

Answer:

C

Step-by-step explanation:

Seems right also pls try this move if you are sure of the answer close your eyes and see what answer pulls you in

Answer:

\(18\pi\)

Step-by-step explanation:

This is the same as finding the volume of the cone.

\(V=\frac{1}{3}\pi(3)^2(6)=18\pi\)

the right answer should be A

The cardinal number of the set Q containing all digits that make up the number q=58,368,964,277 is 8.

Cardinal number of a set is defined as the number of distinct elements in the set. A finite set has a finite number of elements, let it be n. Then the cardinal number of that set is N.

Given number is q=58,368,964,277.

The set containing the digits of q can be represented as,

Q = {5, 8, 3, 6, 9, 4, 2, 7}

The repeated elements are only written once.

Number of elements in the set = 8

So the cardinal number of the set = 8

Hence the cardinal number of the set containing the digits of q=58,368,964,277 is 8.

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Given a function:

To find the inverse of a function, replace x and y and then solve for y.

Thus, option B is correct.

Answer:

3

9

Step-by-step explanation:

(2x-6)(x-9)=0

lesser x = 3

greater x = 9

Answer:

i

Step-by-step explanation: