7th grade math help me plzzzzzz

The total amount Debra ended up paying for the equipment was $28,541.60 and the amount of interest Debra paid on the loan was $14,041.60

(a) To find the total amount Debra ended up paying for the equipment (including the down payment and monthly payments), we need to add the down payment to the total amount of the loan, and then add the total amount of the monthly payments made over the two years.

Total amount of the loan = $14,500 - $1,300 (down payment) = $13,200

Total amount paid = Down payment + Total amount of the loan + Total amount of monthly payments

Total amount paid = $1,300 + $13,200 + ($585.04 x 24) [since there are 24 monthly payments in 2 years]

Total amount paid = $1,300 + $13,200 + $14,041.60

Total amount paid = $28,541.60

Therefore, the total amount Debra ended up paying for the equipment (including the down payment and monthly payments) was $28,541.60.

(b) To find the amount of interest paid on the loan, we need to subtract the total amount borrowed from the total amount paid, and then subtract the down payment. This will give us the total amount of interest paid over the two years.

Total interest paid = Total amount paid - Total amount borrowed - Down payment

Total interest paid = $28,541.60 - $13,200 - $1,300

Total interest paid = $14,041.60

Therefore, the amount of interest Debra paid on the loan was $14,041.60.

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Answer: x^2+5x-18

Step-by-step explanation:

Based on the definition of bisection and appropriate theorems, the proof that shows ΔABE ≅ ΔCDE is shown below.

When two lines bisect each other, they divide each other into equal segments, that is congruent segments.

The proof that shows that triangles ABE and CDE are congruent is explained below:

Statement                                         Reasons                                  

1. BD and AC bisect each other      1. Given

2. AE ≅ CE and BE ≅ DE                 2. Definition of bisection

3. ∠AEB ≅ ∠CED                              3. Vertical angles theorem

4. ΔABE ≅ ΔCDE                              4. SAS congruence theorem

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Correction in point 1: Purchases of supplies for cash during December were $3,300. Supplies on hand at the end of December equal $2,800.

What is Journal Entry?

The act of recording any economic transactions is called a journal entry. An accounting journal lists transactions and displays a company's debit and credit balances. Each recording in the journal entry can be either a debit or a credit, and it can be made up of multiple recordings. The way an accounting transaction is entered into a company's accounting records is through an accounting journal entry.

This question is related to the account and finance subject.

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Answer:

x = 8, m2 = 78, m4 = 102, m6 = 78, m7 = 78,

Step-by-step explanation:

Answer:

Its A

Step-by-step explanation:

Answer:

Step-by-step explanation:

Sjaoa

The required cross-sectional area in a wireway is 12.8 In squared.

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

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

We have been given an 8"×8"×6' long wireway the conductors can occupy.

Since the NEC permits 20% of the cross-sectional area in a wireway to be occupied by conductors

So the required cross-sectional area in a wireway is

⇒ 20 % of ( 8"×8" )

⇒ 0.20 × (64 )

⇒ 12.8 In squared

Thus, the required cross-sectional area in a wireway is 12.8 In squared.

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Answer:

Your answer would be Phoenix. Phoenix had a temperature of 8 degrees.

Step-by-step explanation:

That's a question about quadratic function.

Any quadratic function can be represented by the following form:

\(\boxed{f(x)=ax^2+bx+c}\)

Example:

\(f(x)= -3x^2-9x+57\) is a function where \(a=-3\), \(b=-9\) and \(c=57\).

Okay, in our problem, we need to find the value of x when \(f(x)=0\). That's mean that the result of our function is equal to zero. Therefore, we have the quadratic equation below:

\(x^2+4x-5=0\)

To solve a quadratic equation, we use the Bhaskara's formula. Do you remember the value of a, b and c? They going to be important right now. This is the Bhaskara's formula:

\(\boxed{x=\frac{-b\pm \sqrt{b^2-4ac} }{2a} }\)

So, let's see the values of a, b and c in our equation and apply them in the Bhaskara's formula:

In \(x^2+4x-5=0\) equation, \(a=1\), \(b=4\) and \(c=-5\). Let's replace those values:

\(x=\frac{-b\pm \sqrt{b^2-4ac} }{2a}\)

\(x=\frac{-4\pm \sqrt{4^2-4\times1\times(-5)} }{2\cdot1}\)

\(x=\frac{-4\pm \sqrt{16-(-20)} }{2}\)

\(x=\frac{-4\pm \sqrt{16 + 20)} }{2}\)

\(x=\frac{-4\pm \sqrt{36} }{2}\)

\(x=\frac{-4\pm 6 }{2}\)

From now, we have two possibilities:

To add:

\(x_1 = \frac{-4+6}{2} \\x_1=\frac{2}{2} \\x_1=1\)

To subtract:

\(x_2=\frac{-4-6}{2} \\x_2=\frac{-10}{2} \\x_2=-5\)

Therefore, the result of our problem is: \(x_1 = 1\) and \(x_2=-5\).

I hope I've helped. ^^

Enjoy your studies.  \o/

Answer:

Given that the vertices of quadrilateral PQRS are P(6,3), Q(4,2), R(2,4) and S(4,5) and the quadrilateral is dilated with a scale factor of 2, about the origin.

Now, let's find the new vertices of the dilated image:

Vertex P is dilated by a scale factor of 2, its new coordinates will be (2 × 6, 2 × 3) = (12, 6). Therefore, the new vertex P' is at (12, 6).

Vertex Q is dilated by a scale factor of 2, its new coordinates will be (2 × 4, 2 × 2) = (8, 4). Therefore, the new vertex Q' is at (8, 4).

Vertex R is dilated by a scale factor of 2, its new coordinates will be (2 × 2, 2 × 4) = (4, 8). Therefore, the new vertex R' is at (4, 8).

Vertex S is dilated by a scale factor of 2, its new coordinates will be (2 × 4, 2 × 5) = (8, 10). Therefore, the new vertex S' is at (8, 10).

Therefore, the coordinates of the vertices of the final image are P’(12, 6), Q’(8, 4), R’(4, 8), and S’(8, 10).So, the correct option is D. P’(12, 6), Q’(8, 4), R’(4, 8), and S’(8, 10).

Step-by-step explanation:

Hope this helps you!! Have a good day/night!!

Answer: 3 baskets 6 oranges in each and 9 pears in each

Step-by-step explanation:

Answer:

252 cm²

Step-by-step explanation:

Lateral surface area = area of the 3 triangular surfaces (the base is not included)

Area of 1 triangular face = ½*bh

b = 12 cm

h = 14 cm

Area = ½*12*14 = 6*14

Area = 84 cm²

✅Lateral surface area = 3(84) = 252 cm²

Answer:

9

Step-by-step explanation:

f(4)=4-7=-3

Use the output of - 3 for the input of g(x)

g(-3) =(-3)^2 = (-3)(-3)=9

To find the limit of a convergent sequence, we can simply take the limit as n approaches infinity. Let's calculate the limits for each of the given sequences:

A. \(\sf\:\lim_{n \to \infty} \frac{5n}{n+7} \\\)

To find the limit, we divide the leading terms by n:

\(\sf\:\lim_{n \to \infty} \frac{5n/n}{(n+7)/n} = \frac{5}{1} = 5 \\\)

Therefore, the limit of the sequence A is 5.

B. \(\sf\:\lim_{n \to \infty} \frac{4-7n}{8+n} \\\)

Again, divide the leading terms by n:

\(\sf\:\lim_{n \to \infty} \frac{4/n - 7}{8/n + 1} = \frac{0 - 7}{0 + 1} = -7 \\\)

So, the limit of sequence B is -7.

C. \(\sf:\lim_{n \to \infty} \frac{8n - 500\sqrt{n}}{2n + 800\sqrt{n}} \\\)

Divide the leading terms by n:

\(\sf\:\lim_{n \to \infty} \frac{8 - 500\sqrt{n}/n}{2 + 800\sqrt{n}/n} \\\)

As n approaches infinity, the terms involving \(\sf\:\sqrt{n}/n \\\) tend to 0:

\(\sf\:\lim_{n \to \infty} \frac{8 - 500(0)}{2 + 800(0)} = \frac{8}{2} = 4 \\\)

Therefore, the limit of sequence C is 4.

To summarize:

A. The limit of sequence A is 5.

B. The limit of sequence B is -7.

C. The limit of sequence C is 4.

Answer:

20/121

Step-by-step explanation:

\(ab=\left(\frac{2}{11} \right) \left(\frac{10}{11} \right) \\ \\ =\frac{(2)(10)}{(11)(11)} \\ \\ =\frac{20}{121}\)

Answer:

\(r=4.38\)

Step-by-step explanation:

Step 1: Arrange the equation so that you are calculating rate (divide both sides by t)

\(\frac{d}{t} = \frac{rt}{t}\)

\(t\) cancels out on the right side.

Step 2: Substitute in the numerals

\(r=\frac{d}{t}\)

\(r=\frac{5.7}{1.3}\)

Step 3: Divide

\(r=4.38\) \(mph\)

There's your answer!

Hope this helps you!

Step-by-step explanation:

1/4 + 1/2 + ( 3 × 3/4) +( 3×1) + (4 × 1 1/4) + 1 1/2 = 12.5 hours

Answer:

76890000000 to 7.689 ×10^10

Step-by-step explanation:

The Number of Soccer Balls is 16 and the Number of T-Shirts is 68

What is Linear Equation in Two Variables?

A linear equation in two variables is one that is stated in the form         ax + by + c = 0, where a, b, and c are real integers and the coefficients of x and y, i.e. a and b, are not equal to zero.

Solution:

Let,

Number of Soccer Balls = x

Number of T-Shirts = y

Equation 1:

x + y = 84 -----------(i)

Equation 2:

25x + 9.5y = 1046 ----------(ii)

Multiplying Equation 1 by 25

25x + 25y = 2100 ---------(iii)

Substracting Equation2 from Equation 1

15.5y = 1054

y = 68

So, x = 16

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Step-by-step explanation:

Slope is 1/3 while the intercept is 10/3

Answer:

M<E = 62°

Step-by-step explanation:

Since (8x-34)° and (5x+2)° are alternate interior angles, it means they equal each other so...

(8x-34)°= (5x+2)°

if you drop the parenthesis, you get

8x-34= 5x+2

Then you just solve and simplify it

3x= 36 ----> x= 12

Now you know what x is, you would plug it in to either one and you get 62 as your answer meaning m<E is 62°

8(12)-34= 62 (since this angle and angle E are parallel, the angles are the same and that is why if you plug x into this equation, you can find out what the angle of E is)

5(12) +2= 62 ( and since this angle is across from angle E, it means the angles are the same... so that's why if you plugged in x which is 12 into this equation, you can also find E)

I don't know if this helped or not.. it's kind of confusing and hard to explain without being able to show you... sorry.

If you divide 11 by 2.5 you will end up with 4.4. Answer = 4.4

After solving the equations, we know that a total of 25 ladies attended the party.

A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation.

As in 3x + 5 Equals 15, for instance.

Equations come in a variety of forms, including linear, quadratic, cubic, and others.

So, take dudes as x and ladies as y.

Now, form the required 2 equations as follows:
2x + y = 45 ...(1)

x + y = 35 ...(2)

Work on equation (2):

x + y = 35

x = 35 - y

Now, substitute x = 35 - y in equation (1):

2x + y = 45

2(35-y) + y = 45

70 - 2y + y = 45

-y = -25

y = 25

Since ladies were charged $1 for each ticket, then 25 ladies attended the party.

Therefore, after solving the equations, we know that a total of 25 ladies attended the party.

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Then 1 - 3/5 = 2/5. This means that 2/5 of the frogs in that particular part of the rainforest are not poisonous. This fraction can also be expressed as 40/100 or 0.4 in decimal form.

In the given scenario, we know that 3/5 of the frogs in a particular part of the rainforest are poisonous. This means that the remaining fraction of the frogs are not poisonous.

To find this fraction, we need to subtract 3/5 from 1 (since the sum of the fractions of poisonous and non-poisonous frogs is equal to 1).

It's important to note that just because a frog is not poisonous, it doesn't mean it's safe to touch or handle them. It's always best to admire these beautiful creatures from a safe distance and leave them alone in their natural habitat.

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Since 10 is just a multiplicative constant, we can ignore it and focus on the exponential term.

If

\(y = 5^{-x}\)

we can rewrite this in terms of exp and log as

\(y = e^{\ln(5^{-x})} = e^{-\ln(5)x}\)

Then by the chain rule,

\(\dfrac{\mathrm dy}{\mathrm dx} = \dfrac{\mathrm d}{\mathrm dx}\left[e^{-\ln(5)x}\right] = e^{-\ln(5)x}\dfrac{\mathrm d}{\mathrm dx}[-\ln(5)x] = -\ln(5) e^{-\ln(5)x} = -\ln(5)\cdot5^{-x}\)

Multiply this by 10 to get the derivative of g(x) :

\(\dfrac{\mathrm dg}{\mathrm dx} = \boxed{-10\ln(5)\cdot 5^{-x}}\)

Answer:

Step-by-step explanation:

Traingle 72 LN

Answer:

D, g(x) = 1/4 x^2

Step-by-step explanation:

You can try plugging in the x and y values into each equation. The answer to this would be D, where if you plug in 2 as the x value, you get 1/4 * 4 which equals 1. This also makes sense because 2x would have a narrower curve while 1/2x would have a wider curve.

Step-by-step explanation:

xy/5

.........

....................

Answer:

1. The function is -2x^2 + x + 3.

Step-by-step explanation:

1. The point at (1,2) gives the equation:

a * (1^2) + 1b + c = 2

a + b + c = 2

The point at (-2,-7) gives the equation:

a * (-2^2) + (-2b) + c = 7

4a - 2b + c = -7

The point at (2,-3) gives the equation:

a * (2^2) + 2b + c = -3

4a + 2b + c = -3

Hence, all three equations are:

a + b + c = 2  

4a - 2b + c = -7  

4a + 2b + c = -3

Now, subtract the second equation from the third equation to get:

(4a + 2b + c) - (4a - 2b + c) = -3 - (-7)

4a - 4a + 2b + 2b + c - c = -3 + 7

4b = 4

b = 1

Hence, let's now update our previous equations:

a + 1 + c = 2         =>         a + c = 1

4a - 2(1) + c = -7         =>         4a + c = -5

4a + 2(1) + c = -3         =>         4a + c = -5

This can be further whittled down into two equations:

a + c = 1

4a + c = -5

Hence, we can now subtract the first equation from the second to get:

(4a + c) - (a + c) = -5 - 1

4a - a + c - c = -6

3a = -6

a = -2

Therefore, c = 3 (a + c = 1, -2 + c = 1, c = 1 + 2, c = 3).

And the function is -2x^2 + x + 3.

Hope this helped!

The correct equation of exponential function is  \(f(x) = 6 * (\frac{1}{3} )^x\)

What is an exponential function?

An exponential function is one that has the formula f (x) = \(a^{x}\), where x is a variable and a constant that serves as the function's base and must be greater than 0.

Given,

         starting value = 6

          constant ratio = 1/3

The general form of an exponential function

                \(f(x) = ab^{x}\)

      where a = starting value i.e when x = 0

                  b = rate of change in exponential equation

  So substituting our given values in the above equation, the exponential function is

           \(f(x) = 6 * (\frac{1}{3} )^x\)

Now the value 6 can be divided by 3 only if the value of x = 1

          \(f(1) =\frac{6}{3} = 2\)

If x = 5, then equation becomes,

          \(f(5) = 6 * (\frac{1}{3} )^5 = \frac{2}{81}\)

So we cannot simply divide 6 by 3 without considering the value of x.

Therefore the correct equation of exponential function is

           \(f(x) = 6 * (\frac{1}{3} )^x\)

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