Michael has a substantial student debt, but he recently got a new job, which came with a signing bonus. He calculates that with his new

job, he can put aside a fixed amount of money every month to pay off his debt. He also puts the entirety of his bonus towards paying off

his debt. He constructs the expression 36, 700 - (5,000+ 500m)to represent the size of his debt after m months. Which number

describes the value of his signing bonus?

I need help plz

Answers

Answer 1

Answer:

Michael needs to save $63.40, approximately.

Step-by-step explanation:

The given expression is

[tex]36,700 - (5,000 + 500m)=0[/tex]

Where [tex]m[/tex] is months.

We need to solve for the variable.

[tex]36,700-5,000-500m=0\\31,700=500m\\m=\frac{31700}{500} \approx 63.4[/tex]

Therefore, Michael needs to save $63.40, approximately.

Answer 2

Answer:

The number representing describing the value of his signing bonus = 5,000.

Step-by-step explanation:

Total debt = $36,700

He pays $500 every month from his monthly salaries, since m = months.

The $5,000 is the amount of his signing bonus, which puts entirely towards paying off his debt.

It is like the fixed payment.  While the 500m is the variable payment per month.

So, at the end of any number of months, you can easily calculate the remaining debt using the expression, 36,700 - (5,000 + 500m)


Related Questions

Pls help with this one I give brainliest thank you! Number 7

Answers

Answer:

length x width x height = volume

5.5 x 2 = 11 x 3 = 33

33 ft.

hope this helps

if you have any questions you can ask!

Step-by-step explanation:

The answer is B) 33
You have to times the height • width • length

Fifteen mothers were asked how many months old their babies were when they cut their first tooth. The results are shown below.

8, 8, 6, 8, 9, 10, 5, 7, 9, 5, 9, 7, 6, 8, 7

Find the range and the outlier(s), if any, of the data set.

Answers

range 5
there are no outliers

50 POINTS!!!!!!! WILL MARK BRAINLIEST! NO COPY/PASTE! TWO TO THREE SENTENCES AND EXPLAIN! WILL REPORT STUPID ANSWERS! According to Nikita Khrushchev, Premier of the Soviet Union, which of the three events had the potential to advance Soviet interests the most? The three events are the Cuban Missile Crisis, The Space Race, and The Berlin Wall.

Answers

Answer: Soviet leader Nikita Khrushchev had gambled on sending the missiles to Cuba with the specific goal of increasing his nation's nuclear strike capability.

Step-by-step explanation:

The Soviet Union signed a treaty with Hitler, the U.S. kept the atomic bomb a secret, and the U.S. took a long time to attack Hitler. France, Britain, and the United States wanted to reunify Germany, so they combined their areas into West Germany. Soviets cut off transportation to West Berlin. This lead to the United States and Britain using the Berlin airlift to bring food/supplies into the isolated part of Soviet occupied West Berlin.

Jason earned $54 at his job when he worked for 4 hours. What was his hourly pay rate in hours per dollar?

Answers

Answer:

$13.50

Step-by-step explanation:

$54 divided by 4 is $13.50.

-3b+7=13 solve for b

Answers

Answer:

b = -2

Step-by-step explanation:

Start with your given:

-3b + 7 = 13

Subtract 7 on both sides:

-3b = 6

Then, divide -3 on both sides and solve:

b = -2

Answer:

b = -2

Step-by-step explanation:

You start by subtracting the 7 on the left and move it to the other side. Then you have 6 on the right and -3b on the left. Then you divide the -3 on each side and that gives you b= -2.

Hope this helps.

Can anyone help please? With questions 4 please

Answers

Answer:

a. The area of the garden is 11.68 [tex]m^{2}[/tex]

b. $192 and then $177

Step-by-step explanation:

a. 7.5-2.6 = 4.9, so the rectangular part is 4.9 x 1.3 = 6.37

then [tex]\pi r^{2}[/tex] is the area of a circle, but the 2 ends together are 1/2 the circle

so [tex]\pi *1.3^{2}[/tex] = 5.31, The area of the garden is 11.68 [tex]m^{2}[/tex]

b. 11.68/.75=15.57, so you have to buy 16 bags (can't buy a partial bag)

16*$12=$192, then 5($33)+$12=$177

what's the solution to the inequality 1 2/3 > r - 7/12​

Answers

Answer:

r ≤ 2 1/4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality PropertiesRewriting Fractions

Step-by-step explanation:

Step 1: Define

1 2/3 ≥ r - 7/12

Step 2: Solve for r

Rewrite:                    5/3 ≥ r - 7/12Isolate r:                    9/4 ≥ rRewrite:                    r ≤ 9/4Reduce:                    r ≤ 2 1/4

Here we see that any number r less than or equal to 2 1/4 will work as a solution to the inequality.

Kelly needs 1/8 cups of sugar to make 1/4 of her cookie recipe. How much sugar does she need to make the entire recipe?

Answers

Answer:

1/2 cup of sugar

Step-by-step explanation:

She needs to multiply 1/8 cup of sugar by 4 to make the entire recipe since 18 cup of sugar is only good for a fourth of the recipe.

Which of the following is a ray as shown in the drawing?

Answers

Answer:

DH

Step-by-step explanation:

this is just to comment to tell everyone this is multiple choice meaning it could be ad or ij togethe.

find the value of p in the following equation: 6 * 2/4 = p * 1/4

Answers

Answer: [tex]p=12[/tex]

Step-by-step explanation:

[tex]6*\frac{2}{4}=p*\frac{1}{4}[/tex]

Solve the multiplication on the left side.

6 and 4 can be simplified.

6/2=3

4/2=2

Leaving it like;

[tex]3*\frac{2}{2}=p*\frac{1}{4}[/tex]

2 and 2 is 1 and 3 times 1 is 3.

[tex]3=p*\frac{1}{4}[/tex]

Multiply by 4 to eliminate the fraction and isolate p.

[tex]4*3=p*\frac{1}{4}*4\\12=p[/tex]

An equivalent equation has been written by multiplying the second equation by 2.
4x – 9y = 7 → 4x – 9y = 7
2(–2x + 3y = 4) → –4x + 6y = 8
What is the solution to the system?

Answers

Answer:

its A

Step-by-step explanation:

ED 2020


A bookstore had 60 copies of a magazine. Yesterday, it sold 1/3 of them. Today, it sold 1/4 of what remained. How many copies does the bookstore have left?

Answers

Answer:

30

Step-by-step explanation:

1/3 of 60 is 20

40 would be left

1/4 of 40 is 10 so 30 would be left

How to add or subtract this polynomial

Answers

Answer:

18x^2 + 9x - 5

Step-by-step explanation:

Combine like terms:

(9x^2-8) + (9x^2+9x+3)

= 9x^2 + 9x^2 + 9x - 8 + 3

= 18x^2 + 9x - 5

Which of the following expressions has the greatest value?
3^3 2^5 1^10 5^2

Answers

Answer:

2^5

Step-by-step explanation:

2^5 = 32

3^3=27

1^10 =1

5^2 = 25

Answer:

2^5

Step-by-step explanation:

Look at the attachment

Evaluate 12 ➗(0.9 -0.04

Answers

Answer:

13.9534883721

Step-by-step explanation:

12/(0.9-0.04)=12/0.86=13.9534883721

If AB = 10, what is the length of DE?
11
5
12
3


Answers

Answer:

11

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.

Answers

Answer:

1.  Understand your problem

2. Gather your resources

3. Come to an answer

4. Check your answer and present the solution

Step-by-step explanation:

Write an equation that is parallel to the line y=3x-5 and passes through the point (-1,2)

Answers

Two lines with same slopes are parallel.
So The slope must be 3.
2=3(-1)+a
a=5
y=3x+5

PLS HELP ME!
Um doing venn digrams so u have to set one up for it to work... TWENTY POINTS

Answers

Answer:

Creating a diagram..

Step-by-step explanation:

Alrighty, I've made a diagram. I've even uploaded it so everyone can see how good at drawing I am (not)

a. 7 do not own anything.

b. the probability that someone owns a bone or a stick is 50%.

c. the probability that someone owns a rock and a bone is 14%.

d. the probability that someone owns at least 2 items is 42%.

e. the probability that someone owns only 1 of these items is 51%.

Please tell me if im wrong! im only a student .m.

The table shows the number of cups of water required when cooking different amounts of rice.

Amount of
Rice
(cups) Amount of
Water
(cups)
2 5
3 7.5
5 12.5
8 20
Which statements apply to the ratio of rice and water? Choose two options.

The amount of rice is the dependent value.
The amount of water is the dependent value.
The amount of rice is the independent value.
The amount of water is the independent value.
The values cannot be labeled as dependent or independent without a given equation

Answers

Answer:

The amount of water is the dependent value.The amount of rice is the independent value.

Step-by-step explanation:

The wording "the amount of water required for different amounts of rice" suggests that the "output" value of the table is the amount of water, and the "input" value is the amount of rice.

That makes "water" the dependent variable, and "rice" the independent variable.

  The amount of water is the dependent value.

  The amount of rice is the independent value.

Answer:

The amount of water is the dependent value.

The amount of rice is the independent value.

Step-by-step explanation:

how are a common denominator and a common multiple alike and diferent

Answers

Answer:

To find a common denominator of two fractions, you have to find a number that both denominators of the given fractions will divide into. And to find a common multiple, you have to find a number that both given numbers will divide into.

Step-by-step explanation:

Answer:

To find a common denominator of two fractions, you have to find a number that both denominators of the given fractions will divide into. And to find a common multiple, you have to find a number that both given numbers will divide into.

Step-by-step explanation:

3.5.49 X 0.67 *
Your answer
What is the answer

Answers

Answer:

2.37783 or 23.7783

Step-by-step explanation:

What's your real rate of return if your savings account pays 2.5% interest and inflation is at 1%?
A. 1.5%
B. 2.5%.
C. 3.5%
D. Can't calculate.

Answers

Answer:

Real rate of return = 1.5%

Step-by-step explanation:

Given:

Savings account return = 2.5%

Inflation rate = 1%

Find:

Real rate of return = ?

Computation:

⇒ Nominal rate  of return = Real rate of return + Inflation rate

⇒ Real rate of return = Savings account return - Inflation rate

⇒ Real rate of return = 2.5% - 1%

⇒ Real rate of return = 1.5%

Yuri computes the mean and standard deviation for the sample data set 12, 14, 9, and 21. He finds the mean is 14. His steps for finding the standard deviation are below.

s = StartRoot StartFraction (12 minus 14) squared + (14 minus 14) squared + (9 minus 14) squared + (21 minus 14) squared Over 4 EndFraction EndRoot. = StartRoot StartFraction negative 2 squared + 0 squared + negative 5 squared + 7 squared Over 4 EndFraction EndRoot. = StartRoot StartFraction 4 + 0 + 25 + 49 Over 4 EndFraction EndRoot. = StartRoot StartFraction 78 Over 4 EndFraction EndRoot. = StartRoot 19.5 EndRoot.

What is the first error he made in computing the standard deviation?
A. Yuri failed to find the difference between each data point and the mean.
B. Yuri divided by n instead of n -1.
C. Yuri did not subtract 9 - 14 correctly.
D. Yuri failed to square -2 correctly.

Answers

Answer:

B. Yuri divided by n instead of n-1

Step-by-step explanation:

It was stated in the question that the dataset was sample dataset. For a sample dataset, the standard deviation is given by the formula,

σ = √ Σ (Xi - mean)²/(n - 1) where i = 1,2,3.....n

Since this is just a sample dataset and not the whole population, Yuri should have divided by n-1 instead of n.

Answer:

B.

Step-by-step explanation:

(Here's Answers for the Quiz I did so far!)

1. Abby is collecting rainfall data.

Answer: B.

2. The Monthly Mean Salaries

Answer: A.

3. The Number of Cars at a Dealer Ship

Answer: A. (6.9)

4. The Mean Set of Credit Card Scores.

Answer: C. (720)

A rectangular poster has a length of 24 inches , and it’s width is 12 inches. What is the perimeter of the poster.

Answers

Answer:

(24 + 12) x 2 = 72 inches


Two part-time employees share one full-time job. A girl works Mondays. Thursday, Wednesdays, and Fridays, and a boy works Tuesdays. The job pays an annual salary of $28,612. What annual salary does each employee earn?
The girls salary is______

Answers

One year is 52 week, days of work is 5, 5*52 week is 260 days. One year salary is 28,612, use 28,612/ 260 =110.05 a day. If the boy works only one day a week the he only work 52 day in a year, so is 52*110.05=5722.4 for the boys.
Then use 28612-5722.4= 22889.60 is the girls salary


What percentage of students who take honors English are taking a non-honors math class?

Answers

Answer:

B

Step-by-step explanation:

Took quiz GL

Answer:

the answer is not B

Step-by-step explanation:

the answer is A I actually took the quiz

Find the volume of a right circular cone that has a height of 12 cm and a base with a diameter of 18 cm.

Answers

Answer:1017.36 cm^3

Step-by-step explanation:

Diameter=18cm

Radius=r=18/2=9cm

Height=h=12cm

Volume of cone=1/3 x π x r^2 x h

Volume of cone=1/3 x 3.14 x 9^2 x 12

Volume of cone=1/3 3.14 x 9 x 9 x 12

Volume =(1x3.14x9x9x12) ➗ 3

Volume =3052.08 ➗ 3

Volume =1017.36

Volume of cone=1017.36 cm^3

Determine whether the distribution is a discrete probability distribution. x 0 100 200 300 400 Upper P (x )0 0 0 0 1 Is the distribution a discrete probability​ distribution? A. Yes comma because the sum of the probabilities is equal to 1. B. Yes comma because the sum of the probabilities is equal to 1 and each probability is between 0 and 1 comma inclusive. C. No comma because the sum of the probabilties is not equal to 1. D. No comma because each probability is not between 0 and 1 comma inclusive.

Answers

Complete Question

Determine whether the distribution is a discrete probability distribution.

xP(x)

0   0.100

1   0.200

2  0.300

3  0.400

Is the distribution a discrete probability​ distribution?

A. Yes , because the sum of the probabilities is equal to 1.

B. Yes , because the sum of the probabilities is equal to 1 and each probability is between 0 and 1 comma inclusive.

C. No , because the sum of the probabilties is not equal to 1.

D. No , because each probability is not between 0 and 1 comma inclusive.

Answer:

The correct option is B

Step-by-step explanation:

From the question the probabilites are

        [tex]p_1 = 0.100[/tex]

        [tex]p_2 = 0.200[/tex]

        [tex]p_3 = 0.300[/tex]

        [tex]p_4 = 0.400[/tex]

The sum of the probability is  

       [tex]\sum p(x) = 0.100 + 0.200+ 0.300+ 0.400 = 1[/tex]

The typical amount of sleep per night that adults get has a bell-shaped distribution with a mean of 7.5 hours and a standard deviation of 1.3 hours. About 68% of adults typically sleep between a minimum of ___ hours a night and a maximum of ____ hours a night. Please enter your answer in the following format and round to the first decimal place: (min_value, max_value)

Answers

Answer:

(6.2, 8.8).

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed(bell-shaped) random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 7.5 hours

Standard deviation = 1.3 hours

About 68% ...

By the Empirical Rule, within 1 standard deviation of the mean.

7.5 - 1.3 = 6.2

7.5 + 1.3 = 8.8

So in the format requested

(6.2, 8.8).

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