Solve the system of equations and choose the correct ordered pair. y=-2x+4 y=x-2

The total interest for the loan is $4,550. This means that over the course of 5 years, you will pay back the original loan amount of $13,000 plus $4,550 in interest for a total of $17,550.

To calculate the total interest for this loan, we need to use the simple interest formula:
Monthly EMI formula :
Interest = Principal x Rate x Time

In this case, the principal (amount borrowed) is $13,000, the rate is 7%, and the time is 5 years.

So,

Interest = $13,000 x 0.07 x 5

Interest = $4,550

It's important to keep in mind that this calculation assumes that the interest rate remains constant over the entire 5-year period.

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The value of measure of ∠ RST is,

⇒ ∠ RST = 34°

We have to given that;

In circle S with m ∠RUT = 17°

Hence, We get;

⇒ ∠ RST = 2 × ∠ RUT

⇒ ∠ RST = 2 × 17°

⇒ ∠ RST = 34°

Thus, The value of measure of ∠ RST is,

⇒ ∠ RST = 34°

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Answer

-64

just use ur calculator since my teacher let us use the calculator i just typed in 16.(-4) and got -64  

Answer:

-64 is answer

Step-by-step explanation:

16.(-4)

= -64

Answer:

Step-by-step explanation:

1/2 is your answer

Answer:

you will need to know what's his gross monthly income and multiply by 25%that will give you the amount of taxes withheld and then subtract that from gross monthly income and that will give you Monthly take home pay.

Answer:

angle ced is a right ange

so the m angels debate =135 m angle aeb =35

so the answer is 135+35 =170

180 is a all side sim

=180-170=10 answer

Answer:

∠CED is a right angle.

∠CEA is a right angle.

m∠CEB = m∠BEA

m∠DEB = 135°

Answer:

Hi

please mark brainliest ❣️

Thanks

Step-by-step explanation:

10 + x / 3 = 12

Cross multiply

10 + x = 12× 3

10 + x = 36

Collect like terms

x= 36 - 10

x = 26

The proportion of 1040r tax forms completed in less than 77 minutes = 0.06301

How to find the proportion of the tax forms?

The time required to complete a 1040r tax form = normally distributed

Mean = \(\mu\) = 100 minutes

Standard deviation  = \(\sigma\) = 15 minutes

The proportion of 1040r tax forms completed in less than 77 minutes is given by ,

P( X< 77 ) = P ( Z < \(\frac{77-100}{15}\)  )

                = P( Z < - 1.53 )

                =0.06301

Cumulative probability in the normal distribution =0.06301 or 6.301%

What is normal distribution?

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Answer:

(4v + 3) and (v - 7)

Step-by-step explanation:

First rewrite 4v2 - 25v = 21 as 4v^2 - 25v - 21.

Let's now analyze -25v and -21.  We need to identify two integers whose product is 21 and whose sum is -25.  

Note that factors of -21 are ±1, ±3, ±7 and ±21.  Factors of 4 (the coefficient of v^2) are ±1, ±2 and ±4.

Check out the following trial factors:   (4v + 3) and (v - 7).  Does this product come out to the given 4v^2 - 25v - 21?  Yes.   So the desired factors of 4v2 - 25v = 21 are (4v + 3) and (v - 7).  Note how (3)(-7) = -21 and how 4(-7) + 3v add up to -25, the coefficient of the v term.

Answer:

\(\frac{1}{256}\)

Step-by-step explanation:

Geometric sequence means there is a common ratio. All that means is term divided previous term is the same across your sequence.

ONE WAY:

So we are given here that:

\(\frac{f(2)}{f(1)}=\frac{1}{2}\) and that the first term which is \(f(1)\) is 2.

\(\frac{f(2)}{2}=\frac{1}{2}\)

This implies \(f(2)=1\) after multiplying both sides by 2 and getting that \(f(2)=\frac{1}{2}(2)=\frac{2}{2}=1\).

So you have that

2,1,...

basically you can just multiply by 1/2 to keep generating more terms of the sequence.

Third term would be \(f(3)=1(\frac{1}{2})=\frac{1}{2}\).

Fourth term would be \(f(4)=\frac{1}{2}(\frac{1}{2})=\frac{1}{4}\).

...keep doing this til you get to the 10th term.

ANOTHER WAY:

Let's make a formula.

\(f(n)=ar^{n-1}\)

\(a\) is the first term.

\(r\) is the common ratio.

And we want to figure out what happens at \(n=10\).

Let's plug in our information we have

\(a=2\)

\(r=\frac{1}{2}\):

\(f(10)=2(\frac{1}{2})^{10-1}\)

Put into calculator or do by hand...

\(f(10)=2(\frac{1}{2})^9\)

\(f(10)=2(\frac{1^9}{2^9})\)

\(f(10)=2(\frac{1}{2^9})\)

\(f(10)=\frac{2}{2^9}\)

\(f(10)=\frac{2}{2(2^8)}\)

\(f(10)=\frac{1}{2^8}\)

Scratch work:

\(2^8=2^5 \cdot 2^3=32 \cdot 8=256\).

End scratch work.

The answer is that the tenth term is \(\frac{1}{256}\)

Answer:

For an nth term in a geometric sequence

\(U(n) = a ({r})^{n - 1} \)

where n is the number of terms

r is the common ratio

a is the first term

From the question

a = 2

r = 1/2

n = 10

So the 10th term of the sequence is

\(U(10) = 2 ({ \frac{1}{2} })^{10 - 1} \\ \\ = 2 ({ \frac{1}{2} })^{9} \\ \\ \\ = \frac{1}{256} \)

Hope this helps you

Answer:

42

Step-by-step explanation:

Answer:

Answer = 3/7

Step-by-step explanation:

(6/7) ×(1/2)

= 3/7

Answer:

don't know what you need

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

You are given two ordered pairs:

  (years after 1990, cost per credit hour) = (x, C) = (0, 99) and (7, 176)

(Note that 1997 is 7 years after 1990.)

__

The "slope" or "rate of change" of the linear model of this relationship is found from ...

  m = (change in C)/(change in x) = (176 -99)/(7 -0) = 77/7 = 11

Then the linear model will be ...

  C = mx + b . . . . . for some value of b

Using the first ordered pair (x, C) = (0, 99), we can find b:

  99 = 11×0 +b

  99 = b

So, the linear equation for cost of a credit hour can be written ...

  C = 11x +99

__

The year 2000 is 10 years after 1990, so the cost when x=10 is ...

  C = 11×10 +99 = 209

In the year 2000, tuition will be $209 per credit hour.

__

To answer the last question, we need to find x when C = 231. Put this in the equation, and solve:

  231 = 11x +99

  132 = 11x . . . . . . . subtract 99

  132/11 = x = 12 . . . divide by 11

12 years after 1990 is 2002.

In the year 2002, tuition will be $231 per credit hour.

Answer:

611

Step-by-step explanation:

\(\frac{24 customers}{64 staff} = \frac{229 customers}{? staff}\)

Solve for ? by cross multiplying and isolating ?staff.

You will get (64 x 229) / 24

Your answer will be ~ 611.

The grouping of all numbers with the formula a+bi is referred to as the complex number set. If b0, the number is also referred to as an imaginary number. The quantity is referred to be a real number if b=0.

A real number and an imaginary number added together is referred to by this phrase. It is symbolized by the letter z and has the formula a + bi.

Any number that is composed of both rational and irrational numbers is considered to be real. R is used to write these numbers, which may be native or positive.

Complex numbers are those that are expressed as a+ib, where a, b are actual numbers, and I is a fictitious number termed a "iota." I = (-1) is the value. A complex number, such as 2+3i, is one where the real number 2 (Re) and the imaginary number 3 I are both present (Im).

The number that is represented by the square root of a particular negative number is referred to by this phrase.

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Answer:   5

Step-by-step explanation:   P(broken bulb) = 1/20  =0.05

Estimated value E = np = 100·0.05 = 5

A salary slip for the month of March 2023 with information given below.

Salary Slip - March 2023

Employee Details:

Name: [Employee Name]

Employee ID: [Employee ID]

Designation: [Employee Designation]

Earnings:

Basic Salary: [Basic Salary]

House Rent Allowance (HRA): [HRA]

Dearness Allowance (DA): [DA]

Incentive: [Incentive]

Total Earnings: [Total Earnings]

Deductions:

Provident Fund (PF): [PF]

Insurance: [Insurance]

Loss of Pay (LOP): [LOP]

Total Deductions: [Total Deductions]

Net Pay: [Net Pay]

Breakdown:

Basic Salary: 50% of CTC (18L) = [Basic Salary]

HRA: 20% of Basic Salary = [HRA]

DA: 12% of Basic Salary = [DA]

Incentive: 75% of target completion = [Incentive]

Total Earnings = Basic Salary + HRA + DA + Incentive = [Total Earnings]

PF: 12% of Basic Salary = [PF]

Insurance: Rs. 2500 = [Insurance]

LOP: [LOP]

Total Deductions = PF + Insurance + LOP = [Total Deductions]

Net Pay = Total Earnings - Total Deductions = [Net Pay]

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Answer:

Answer choices: 1/2, 7/8, 19/24, 6/8.

Step-by-step explanation:

Answer:

-5x - 2

Step-by-step explanation:

Point slope form: y - y1 = m(x - x1)

y1 = y-point

m = slope

x1 = x-point

Using what we wrote above, we can solve the question.

y1 = -2

m = -2/3

x1 = 4

Therefore, the point is (4, -2) and the slope is -2/3

Best of Luck!

Answer:

$1,545

Step-by-step explanation:

3% of 1500 is 45

1500 + 45 = 1545

Answer:

I won't solve it, because you asked me to.

Step-by-step explanation:

The first question we should ask ourselves is "what are we looking to solve?"

We are looking for some sort of value that satisfies that equation. We'll call it x

Reading from left to right:

The sum of twice a number and 13 is 75

         +            2              x              13 = 75

2x + 13 = 75

The most appropriate conclusion is: A) This is convincing evidence of an association between longer hand and longer foot.

The chi-square test is a statistical test used to determine whether there is a significant association between two categorical variables. It is used to compare observed frequencies of data to the expected frequencies to determine if they differ significantly. The test is based on the principle of comparing the difference between the observed frequencies and the expected frequencies, and then determining if this difference is statistically significant.

Here,

At the 0.05 significance level, with a chi-square statistic of 11.942 and 4 degrees of freedom, the P-value is 0.018.

Since the P-value is less than the significance level, we reject the null hypothesis of no association and conclude that there is evidence of an association between longer hand and longer foot.

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Complete question:

Imani was curious if there was a relationship between one hand being longer than the other and one foot being longer than the other for 100 randomly selected students. Here is a summary of the data and the results from a chi-square test:

Answer:what

Step-by-step explanation:

Answer:

a = √5

b ∈ (−∞,∞)

Step-by-step explanation:

(7 + 3√5)/(3 + √5) - (7 - 3√5)/(3 - √5) = a + b√5

⇔ (7 + 3√5)(3 - √5)/(3 + √5)(3 -√5) - (7 - 3√5)(3 + √5)/(3 + √5)(3 -√5) = a + b√5

⇔ (7 + 3√5)(3 - √5) -  (7 - 3√5)(3 + √5)/(3 + √5)(3 -√5) = a + b√5

⇔ 4√5/4 = a + b√5

⇔ √5 = a + b√5

⇔ b = (5 - a√5)/5

Replace b with (5 - a√5)/5

⇒ a +  (5 - a√5)/5 = √5

⇔ a × 5 + (5 - a√5)(5)/5 = √5 × 5

⇔ a × 5 + 5 - a√5 = 5√5

⇔ a × 5 - √5 × a = 5√5 - 5

⇔ a(5 - √5) = 5√5 - 5

⇔ a = √5

Answer:   (-5, 5)

Step-by-step explanation:

J = (-3, 1)    K = (-8, 11)          ratio 2 : 3    --> 2 + 3  = 5 segments

x-distance from J to K: -8 - (-3) = -5 units

y-distance from J to K: 11 - 1 = 10 units

Divide those distance into 5 segments:

x = -5/5  = -1 unit per segment

y = 10/5 = 2 units per segment

The partition is 2 segments from J:

x = -3 +2(-1)  = -5

y = 1 + 2(2)   = 5

The partition is located at (-5, 5)

Answer:

5

Step-by-step explanation:

Answer: 1/2

Step-by-step explanation:

Kim ate 2/5 which is also equal to 4/10 and Courtney has eaten 1/10

4/10 + 1/10 = 5/10 = 1/2