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## Best answer get Brainliest. 50 points. Emerson earns money from walking dogs and answering surveys. He earns \$5 a week for each dog he walks and \$0.10 for each survey he answers. Last week, Emerson answered 100 surveys and earned \$35. Part A: Create an equation that will determine the number of dogs he walked. (3 points) Part B: Solve this equation justifying each step with an algebraic property of equality. (6 points) Part C: How many dogs did Emerson walk last week? (1 point)

Step-by-step explanation:

5x + 10 = 35 is your equation

5x = 35 – 10    bc u brought the 10 to the other side so its symbol changes

5x = 25         now were going to bring 5 to the other side to do that we have to divide both sides by 5 (same thing like the 10)

5x/5 = 25/5

x = 5

5 dogs

~batmans wife dun dun dun…..

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## A bank offers two interest account plans. Plan A gives you 6% interest compounded annually. Plan B gives you 13% annual simple interest. You plan to invest \$2,000 for the next 4 years. Which account earns you the most interest (in dollars) after 4 years? How much will you have earned? Plan A; \$524.95 Plan B; \$524.95 Plan A; \$1,040.00 Plan B; \$1,040.00

Plan A
The formula is
A=p (1+r)^t
A=2,000×(1+0.06)^(4)
A=2,524.95 ( future value )

Interest earned=A-p
Interest earned=2524.95-2000
Interest earned=524.95

Plan B
Use the simple interest formula
I=prt
I interest earned?
P principle 2000
R interest rate 0.13
T time 4years
I=2,000×0.13×4
I=1,040

Plan B; \$1,040

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## The advantage of the dividend discount model is that: a. it is simple b. dividends are easily observable c. capital gains can be earned instead of dividends d. firms publish their dividend policies e. all of the above

The advantage of the dividend discount model is that: a. it is simple b. dividends are easily observable c. capital gains can be earned instead of dividends d. firms publish their dividend policies e. all of the above

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## Carissa works as a babysitter during her summer vacation. She gets paid one rate for daytime hours and a higher rate for nighttime hours. One week, she worked 12 daytime hours and 4 nighttime hours and earned \$120. The next week, she earned \$60 for a total of 4 daytime hours and 3 nighttime hours. Let x represent the hourly daytime rate and y represent her hourly nighttime rate.

Carissa works as a babysitter during her summer vacation. She gets paid one rate for daytime hours and a higher rate for nighttime hours. One week, she worked 12 daytime hours and 4 nighttime hours and earned \$120. The next week, she earned \$60 for a total of 4 daytime hours and 3 nighttime hours. Let x represent the hourly daytime rate and y represent her hourly nighttime rate.

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## Mrs. Ming invested an amount of money in two accounts for one year. She invested some at 8% interest and the rest at 6% interest. Her total amount invested was \$1,500. At the end of the year, she had earned \$106.40 in interest. How much had Mrs. Ming invested in the account paying 6%?A.\$117B.\$680C.\$760D.\$820

Mrs. Ming invested an amount of money in two accounts for one year. She invested some at 8% interest and the rest at 6% interest. Her total amount invested was \$1,500. At the end of the year, she had earned \$106.40 in interest. How much had Mrs. Ming invested in the account paying 6%?A.\$117B.\$680C.\$760D.\$820

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## On Ms. Smith's last math test, 60% of her 25 students earned an 83% or better. How many of Ms. Smith's students earned an 83% or better on the last math test? A. 17 B. 14 C. 20 D. 15

On Ms. Smith’s last math test, 60% of her 25 students earned an 83% or better. How many of Ms. Smith’s students earned an 83% or better on the last math test? A. 17 B. 14 C. 20 D. 15

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## A student earned 23 out of 30 points on a quiz. What percent of the points did the student earn?

A student earned 23 out of 30 points on a quiz. What percent of the points did the student earn?

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## An employee earned \$45,200 during the year working for an employer when the maximum limit for social security was \$117,000. the fica tax rate for social security is 6.2% and the fica tax rate for medicare is 1.45%. the employee’s annual fica taxes amount is:

Employee                                 Mary      Zoe         Greg         Ann           Tom

Cumulative Pay                       \$6,800   \$10,500  \$8,400    \$66,000   \$4,700

Pay subject to FICA S.S.         \$421.60  \$651.00  \$520.80 \$4092.00 \$291.40
6.2%, (First \$118,000)

Pay subject to FICA Medicare \$98.60 \$152.25    \$121.80    \$957.00    \$68.15
1.45% of gross

Pay subject to FUTA Taxes      \$40.80  \$63.00     \$50.40    \$396.00  \$28.20
0.6%

Pay subject to SUTA Taxes   \$367.20  \$567.00  \$453.60  \$3564.00 \$253.80
5.4% (First \$7000)

Totals                                     \$928.20 \$1,433.25 \$1,146.60 \$9,009.00 \$641.55

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## Tracy, a recent college graduate who earned straight as as a history major, is applying for a job as a legal assistant. although she does not have a background in law, she hopes to land the job because of the _____.

The answer to the question: Although she does not have a background in law, she hopes to land the job because of the:___, would be: Screening effect.

Explanation:

The screening effect is a theory that is used by companies and recruiters in order to effectively select and screen the best candidates for a specific position, even if these candidates may not fulfill all the requirements for that position. What the theory does is propose that candidates who have completed a college degree show their capacities, even if these are not specifically related to an expected topic, by simply achieving this goal, and are therefore worthy to be taken into account for selection. In the case of Tracy, she has not just fulfilled the part of the theory of finishing her degree, but she has overachieved by obtaining the best degrees in topics that are related to a job as a legal assistant. The screening effect will allow recruiters to see Tracy´s records and take her into account, even if she has never had any legal experience, due to her achievements in related topics.

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## Marcus earns money from feeding cats and answering emails. He earns \$7 a week for each cat he feeds and \$0.20 for each email he answers. Marcus answered 140 emails and earned \$49 last week. Part A: Create an equation that will determine the number of cats he fed. (3 points) Part B: Solve this equation justifying each step with an algebraic property of equality. (6 points) Part C: How many cats did Marcus feed last week? (1 point)

127=7 (mod n) means when 127 is divided by n, the division leaves a remainder of 7.

The statement is equivalent to
120=0 (mod n), meaning that n divides 120.

All divisors of 120 will satisfy the statement because 120 divided by a divisor (factor) will leave a remainder of 0.

Factors of 120 are:
n={1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120}, |n|=16.
You can count how many such values of n there are, and try to check that each one satisfies 127=7 mod n.

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## Meike earned \$1565 in tips while working a summer job at a coffee shop. She wants to use this money to take a trip to Europe next summer. If she places the money in an account which pays 6.5% compounded continuously, how much money will she have in nine months?

Meike earned \$1565 in tips while working a summer job at a coffee shop. She wants to use this money to take a trip to Europe next summer. If she places the money in an account which pays 6.5% compounded continuously, how much money will she have in nine months?

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## How much money will you have if you started with \$1000 and put it in an account that earned 5% every year for 15 years

How much money will you have if you started with \$1000 and put it in an account that earned 5% every year for 15 years

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## I spent 25 Points, PLEASE HELP! In a graph, x represents the number of months since a business opened, and y represents the total amount of money the business has earned. The following three points are from the graph: (2, 1990) (5, 4225) (9, 7205) Find the slope and y-intercept. Explain what each represents.

The polinomials only can have positive whole exponents, that is: 1, 2, 3, 4, 5, 6, … (you can include 0 also, because it iis the independent term).

So, if you are told that one term of the polynomial is 9 x ^ (negative something), it is necessary that the number after the negative sign be negative, given that negative times negative is positive.

Therefore, the only possible option from the answer choices is the option 3) -9.

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## A scatter plot below shows the profit earned each month by a new company over the first year of operation.

Employee                                 Mary      Zoe         Greg         Ann           Tom

Cumulative Pay                       \$6,800   \$10,500  \$8,400    \$66,000   \$4,700

Pay subject to FICA S.S.         \$421.60  \$651.00  \$520.80 \$4092.00 \$291.40
6.2%, (First \$118,000)

Pay subject to FICA Medicare \$98.60 \$152.25    \$121.80    \$957.00    \$68.15
1.45% of gross

Pay subject to FUTA Taxes      \$40.80  \$63.00     \$50.40    \$396.00  \$28.20
0.6%

Pay subject to SUTA Taxes   \$367.20  \$567.00  \$453.60  \$3564.00 \$253.80
5.4% (First \$7000)

Totals                                     \$928.20 \$1,433.25 \$1,146.60 \$9,009.00 \$641.55

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## Mike is considering investing \$18,500 in an investment that will have a maturity value of \$32,500 in 8 years. if the interest is compounded monthly, what is the annual rate of return earned on the investment?

The Contribution Margin per unit (CM) can be calculated
from the difference of Selling Price per unit (SP) and Total Expenses per unit
(TE).

First, let’s calculate the value of SP:

SP = Sales / Units sold

SP = \$1,043,400 / 22,200 units sold

SP = \$47

Second, calculate all expenses:

Direct materials per unit = \$234,948 / 27,970 units
manufactured = \$8.4

Direct labor per unit = \$131,459 / 27,970 units
manufactured = \$4.7

Variable manufacturing overhead per unit = \$240,542 / 27,970
units manufactured = \$8.6

Variable selling expenses per unit = \$113,220 / 22,200
units sold = \$5.1

TE = \$26.8

Therefore the CM is:

CM = SP – TE

CM = \$47 – \$26.8

CM = \$20.2 per unit

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## Mrs. Ming invested an amount of money in two accounts for one year. She invested some at 8% interest and the rest at 6% interest. Her total amount invested was \$1,500. At the end of the year, she had earned \$106.40 in interest. How much had Mrs. Ming invested in the account paying 6%? \$117 \$680 \$760 \$820

The correct option is B) \$680.

Step-by-step explanation:

Consider the provided information.

Her total amount invested was \$1,500. At the end of the year, she had earned \$106.40 in interest.

Let she invested x amount with 8% interest rate.

Total amount she invested was \$1,500, thus the amount she invested with 6% interest rate was 1500-x.

Total interest she earn was \$106.40

Write this information into mathematical form.

Hence, she invested \$820 with 8% interest rate.

The amount she invested with 6% interest rate was 1500-x.

Substitute the value of x in above.

1500-820=680

Hence, she invested \$680 with 6% interest rate.

The correct option is B) \$680.

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## 4. If you have earned income, which of the following retirement devices must you contribute to, by law?

The correct option is B) \$680.

Step-by-step explanation:

Consider the provided information.

Her total amount invested was \$1,500. At the end of the year, she had earned \$106.40 in interest.

Let she invested x amount with 8% interest rate.

Total amount she invested was \$1,500, thus the amount she invested with 6% interest rate was 1500-x.

Total interest she earn was \$106.40

Write this information into mathematical form.

Hence, she invested \$820 with 8% interest rate.

The amount she invested with 6% interest rate was 1500-x.

Substitute the value of x in above.

1500-820=680

Hence, she invested \$680 with 6% interest rate.

The correct option is B) \$680.

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## On two investments totaling \$10,500, Brian lost 6% on one and earned 8% on the other. If his net annual receipts were \$497, how much was each investment?

On two investments totaling \$10,500, Brian lost 6% on one and earned 8% on the other. If his net annual receipts were \$497, how much was each investment?

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## On two investments totaling \$11,500, Peter lost 3% on one and earned 4% on the other. If his net annual receipts were \$⁢201, how much was each investment?

On two investments totaling \$11,500, Peter lost 3% on one and earned 4% on the other. If his net annual receipts were \$⁢201, how much was each investment?

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## Each week, Alfonso earns \$85 for every shift he works at the theater and \$15 for every dog-walking job. He uses the expression 85x + 15y to keep track of his earnings. Part A: Identify the coefficients and variables in the expression. (3 points) Part B: How many terms are in the expression, what are they, and how do you know? (4 points) Part C: Which term in the expression shows the total earned from the dog-walking jobs? (3 points)

To answer this problem, we will use the formula of
hypotenuse:

c^2 = a^2 + b^2

Where,

c = total distance traveled / displacement = 119 miles

a = distance traveled north = 5 hours * x mph =  5 x

b = distance traveled west = 4 hours * (x + 5) mph = 4 (x
+ 5)

Substituting to the equation:

119^2 = (5 x)^2 + [4(x + 5)]^2

14,161 = 25 x^2 + 16 (x + 5)^2

14,161 = 25 x^2 + 16 (x^2 + 10 x + 25)

14,161 = 25 x^2 + 16 x^2 + 160 x + 400

0 = 41 x^2 + 160 x – 13,761

x =[ – b ± sqrt (b^2 – 4ac)]/ 2a

x = [- 160 ± sqrt (160^2 – 4 * 41 * (– 13,761))] / 2 * 41

x = – 1.95 ± 18.42

x = -20.37 , 16.47

Since speed cannot be negative, therefore x = 16.47

Therefore the speed of the ship travelling west is:

x +

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## Rose earned a gross pay of \$426 last week. From her gross pay, the following deductions were subtracted: federal income tax of \$48, social security taxes of 6.2%, Medicare taxes of 1.45%, health insurance premiums of \$45.80, and union dues of \$12.56. What was Rose’s net pay

1. We are asked to simplify the expression :

2. First thing we can do is to flip the second expression, so make the division a multiplication, and also factorize 3 in the numerator and 12 in the denominator of the second expression as follows:

3. Now factorize each of the quadratric expressions using the following rule:

when we want to factorize , we look for 2 numbers m and n, whose sum is a, and product is b:
for example: in , the 2 numbers we are looking for are clearly -5 and 4, because (-5)+4=-1, (-5)*4=-20, so we write the factorized form (x-5)(x+4)

Now apply the rule to the whole expression:

4. Simplify equal terms in the numerator and denominator:

we get:

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## Nikhil gets paid a 5 percent commission on every pair of shoes that he sells. He earned \$1.00 on the last pair of shoes that he sold. The expression that can be used to represent x, the price of the shoes, is mc005-1.jpg What was the price of the shoes?

Nikhil gets paid a 5 percent commission on every pair of shoes that he sells. He earned \$1.00 on the last pair of shoes that he sold. The expression that can be used to represent x, the price of the shoes, is mc005-1.jpg What was the price of the shoes?

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## How much interest is earned in 2 years on an investment of \$2000? The interest rate is 3%

The correct answer is option B : Change the interest to 5.5%

## Step-by-step explanation:

Giselle wants to buy a condo that has a purchase price of \$163,000.

She earns \$2,986 a month and wants to spend no more than 25% of her income on her mortgage payment.

Means the maximum she will spend is dollars.

She has saved up \$33,000 for a down payment.

So, loan amount or principle will be = dollars

Giselle is considering the following loan option: 20% down, 30 year at a fixed rate of 6.25%.

Lets check the monthly payment for this option:

The EMI formula is:

p = 130000

n =

r =

Putting the values in formula we get:

= \$800.43

This option is not viable.

## So, lets check other options.

1. Change to a 15 year fixed loan means n will be and rest values will be same.

Putting the values in formula we get,

= \$1114.66

This is not viable.

b.  Change the interest to 5.5%

Now r =

Rest will remain the same and n = 360

Putting the values in formula we get,

= \$738.095

This is a viable option as EMI is less than \$746.50.

C. Change the down payment to 18% down

So, p =

n =

r =

Putting the values in formula we get:

= \$822.97

This is also not viable.

Therefore, the correct answer is option B : Change the interest to 5.5%

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## Jared gets paid \$7.15 an hour to help at his dad's shop. He also mows his neighbor's lawn each week for \$20. Jared earned \$167.25 in the last three weeks. How many hours did Jared work at his dad's shop in those three weeks?

Jared gets paid \$7.15 an hour to help at his dad’s shop. He also mows his neighbor’s lawn each week for \$20. Jared earned \$167.25 in the last three weeks. How many hours did Jared work at his dad’s shop in those three weeks?

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## Zinnia and Ruby earn \$58 per week for delivering pizzas. Zinnia worked for x weeks and earned an additional total bonus of \$13. Ruby worked for y weeks. Which expression shows the total money, in dollars, that Zinnia and Ruby earned for delivering pizzas? (5 points) 71x + 58y 58x − 13 + 58y 58x + 71y 58x + 13 + 58y

Total money Zinnia and Ruby earned for delivering pizzas is 58x + 13 + 58y .

Step-by-step explanation:

As given

Zinnia and Ruby earn \$58 per week for delivering pizzas.

Zinnia worked for x weeks and earned an additional total bonus of \$13.

Ruby worked for y weeks.

Thus

Money Zinnia earns = Money earns per week × Number of weeks + Additional total bonus .

Put all the values in the above

Money Zinnia earns = 58 × x + 13

Money Zinnia earns = 58x + 13

Thus

Money  Ruby earns = Money earns per week × Number of weeks

Put all the values in the above

Money  Ruby earns = 58 × y

Money Ruby earns = = 58y

Thus

Total Zinnia and Ruby earned for delivering pizzas = Money Zinnia earns  + Money Ruby earns

Total Zinnia and Ruby earned for delivering pizzas = 58x + 13  + 58y

Therefore the total money Zinnia and Ruby earned for delivering pizzas is 58x + 13 + 58y .