In her last two years in college, Marlene received $42,000 in loans. The first year, she received a loan that was $6,000 less than three times the amount of the second year's loan. Call the amount that Marlene received her first year f and the amount she received in her second year s.

Answers

Answer 1

Answer:

First year = 30000

Second year = 12000

Step-by-step explanation:

Given

[tex]Loan = \$42000[/tex]

Represent first year with f and second year with s.

So, we have:

[tex]s + f = 42000[/tex]

and

[tex]f = 3s - 6000[/tex]

Required

Solve for f and S

Substitute 3s - 6000 for f in the first equation.

[tex]s + f = 42000[/tex]

[tex]s + 3s - 6000 = 42000[/tex]

[tex]4s - 6000 = 42000[/tex]

Collect Like Terms

[tex]4s = 42000 + 6000[/tex]

[tex]4s = 48000[/tex]

Solve for s

[tex]s = 48000/4[/tex]

[tex]s = 12000[/tex]

Substitute 12000 for s in [tex]f = 3s - 6000[/tex]

[tex]f = 3 * 12000 - 6000[/tex]

[tex]f = 36000 - 6000[/tex]

[tex]f = 30000[/tex]


Related Questions

Jocelyn bought 11 chicken wings for $18.70. What was the cost of the wings, in dollars per wing?

Answers

1.7 per you divide 18.70 by 11

Answer:

$1.70 per wing

Step-by-step explanation:

To find the cost per wing, take the total cost and divide by the number of wings

18.70/11

$1.70 per wing

4. Evaluate the following expression for r= 5.
2(r2 - 8)

Answers

Answer:

The expression is equal to 4

Step-by-step explanation:

Given the expression 2(r2-8) and the equality for the variable r = 5. It is best to substitute this equality into the expression to solve for its corresponding value:

2(r2-8) =

2(2(r)-8),

2(2(5)-8),

2(10-8),

2(2),

4

What integer divided by -5 equals -6?
-30
24
-24
30

Answers

Answer:

30

Step-by-step explanation:

30/-5=-6

due to integer rules the number would be negative

can anybody help me know the Pythagorean theorem

Answers

Answer:

[tex]8^{2} +U^{2} =17^{2}[/tex]

solve the squared numbers

[tex]8^{2} =64[/tex]

[tex]17^{2} =225[/tex]

[tex]64+U^{2} =225[/tex]

subtract 64 from 289

[tex]U^{2} =225[/tex]

square root 225

[tex]U=[/tex][tex]\sqrt{225}[/tex]

simplify that

[tex]U=[/tex][tex]\sqrt{15^2}[/tex]

[tex]U= 15[/tex]

What is the coefficient of the term below?
– 5x²yt
Enterlu
-

Answers

Answer:

The coefficient is: *-5*

in the -5x.

Step-by-step explanation:

Read the problem. The Sweet Dreams Hotel has a total of 125 rooms. If 25 are vacant, what percent of the rooms at the Sweet Dreams Hotel are vacant? Pick the model that represents the problem.​

Answers

Answer:

20%

Step-by-step explanation:

First of all I don't known what the model thing is but I'll tell you the percent

25 /25

125 /25

= 1/5

1/5 as a percent=

1 *20

5 *20

= 20%

13. To rent a car, you pay a one-time charge of $45 plus a charge of $0.29 for
every mile that you drive. If you drive 120 miles, how much is the total charge for
the rental car?
(c) $79.80
(a)' $75.29
(d) $74.71
(b) . $165.29
(e) none of these
Please show the work

Answers

Answer:

The correct choice is (c) $79.80

Step-by-step explanation:

The total charge for renting a car can be split into two parts:

A fixed one-time charge of $45

A variable charge of $0.29 per driven mile.

If I drive 120 miles, the variable charge will be 120*0.29 = $34.80

The total charge will be $45 + $34.80 = $79.80

The correct choice is (c) $79.80

HELP IM TIMED ROUND THE FACTOT AND ESTIMATE THE PRODUCT FOR EACH ONE

Answers

Answer:

The second one is 3,000 x 8,000 = 24,000,000 The first one is 700 x 100 = 70,000 then the third is 400 x 9,000 = 6,600,000 And the last is  9,000 x 57,000 = 513,000,000

Step-by-step explanation:

A recipe calls for 4 teaspoons of salt to 12 teaspoons of red pepper flakes. How many teaspoons of salt are needed for each tablespoon of red pepper flakes?​

Answers

Answer:

1 teaspoon of salt to 3 teaspoons of red pepper flake

Step-by-step explanation: 12 divided by 4

Points A and B lie on a circle with radius 1, and arc

AB
has a length of
π
3
. What fraction of the circumference of the circle is the length of arc

AB
?

Answers

Answer:

arc AB=16 circumference

Step-by-step explanation:

The circumference of a circle with radius

r=1

has a length

C1=2rπ=2π

An arc length of  π 3 represents π

32π = 132 + 16 of this circumference

Graph ​3x−y=6​.

Use the line tool and select two points on the line.

Answers

Answer:

Plot point -6 and 2 and just keep making the line straight off the graph  I think this should help

Step-by-step explanation:

Which of the following numerical expressions have the same value as 1-1024257

Answers

Answer:

125612

Step-by-step explanation:

Maria needs 23 ounces of water and 57 gallons of milk. The cost of the milk is $9.20 per gallon and the cost of the water bottles is $2.99. If The water is supposed to be measured in ounces how many ounces is the milk going to be measured in and how much would it cost,

Answers

Given :

Maria needs 23 ounces of water and 57 gallons of milk.

The cost of the milk is $9.20 per gallon and the cost of the water bottles is $2.99.

To Find :

How many ounces is the milk going to be measured in and how much would it cost.

Solution :

We know, 1 gallon = 128 ounces.

So, 57 gallon of milk = 57×128 = 7296 ounces.

Cost of 1 gallon milk = $9.20 .

So, cost of 57 gallon is = 57×9.20 = $524.4

Therefore, volume in ounces is 7296 and cost is $524.4 .

Hence, this is the required solution.

Why do people think maths as a hard subject
Do you feel math is hard

Answers

No, math is the easiest subject for me and my favorite ! But sometimes it can be hard if u don’t understand.
math is different for everyone. i personally enjoy math. also can you please thank this i need points lol

The sum of three numbers is 36. The first number is two times the second number, and the second number is
four less than the third number. What are the numbers?
o (8, 12, 16)
12<8, 16)
(12, 16,8)
o (16, 8, 12)

Please help out

Answers

Answer:

o (16, 8, 12)

Step-by-step explanation:

1st number: 8*2 =16

2nd number:12-4=8

3rd number: given

Answer:

16,8,12

Step-by-step explanation:

its 16,8,12 because:

8x2=16

12-4=8

youre welcome

Solve the equation 4(x – 2) = 3x + 1. Question 15 options: A) 3 B) 8 C) 9 D) 2

Answers

Answer:

x = 9

Step-by-step explanation:

Step 1: Write equation

4(x - 2) = 3x + 1

Step 2: Solve for x

Distribute 4: 4x - 8 = 3x + 1Subtract 3x on both sides: x - 8 = 1Add 8 to both sides: x = 9

Step 3: Check

Plug in x to verify it's a solution.

Substitute: 4(9 - 2) = 3(9) + 1Parenthesis (add): 4(7) = 3(9) + 1Multiply: 28 = 27 + 1Add: 28 = 28

A. The point (3.5, 210) is on the graph. Explain what this means in terms of the car.


B. Is the point (1, 60) on this graph? Yes or no. Explain how you know

Answers

Answer/Step-by-step explanation:

A. The point (3.5, 210) on the graph means the car travelled a distance of 210 miles, at constant speed, for 3.5 hours.

B. To find out if the point (1, 60) is on the line, first, calculate the slope of the line (rate of change), and then find the rate of change between the point (1, 60) and the point (3.5, 210). If you get the same value as the slope of the line, it definitely means (1, 60) is a point of the graph.

Calculating slope of the line using (3.5, 210) and (5, 300):

[tex] slope(m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{300 - 210}{5 - 3.5} [/tex]

[tex] slope(m) = \frac{90}{1.5} [/tex]

[tex] slope(m) = 60 [/tex]

Calculating the rate of change (slope) between (1, 60) and (3.5, 210):

[tex] = \frac{y_2 - y_1}{x_2 - x_1} = \frac{210 - 60}{3.5 - 1} [/tex]

[tex] = \frac{150}{2.5} = 60 [/tex]

Rate of change (slope) = 60

Since the average rate of change between (1, 60) and the given point on the graph, (3.5, 210), is the same as the slope of the graph, therefore the point (1, 60) is a point on the graph also.

The answer is, YES.

Which graph shows a proportional relationship between x and y?

Answers

Answer:the last one

Step-by-step explanation:

Answer:  B

Step-by-step explanation:

I HAVE DONE THIS ALREADY

A train traveled at a constant speed
for six hours and traveled a distance of
408 miles. What is the best estimate
of the number of miles the train could
travel in 2.5 hours?

Answers

Answer:

170

Step-by-step explanation:

you have to set up a proportion and cross multiply.

[tex] \frac{408 \: miles}{6 \: hours} = \frac{x \: miles}{2.5 \: hours} [/tex]

that would cross multiply to

[tex]408 \: miles \: \times 2.5 \: hours \: = 6 \: hours \: \times x \: miles[/tex]

which would simplify to

[tex]1020 = 6x[/tex]

then, you isolate x by dividing 6 from both sides to get the final answer of

[tex]170 \: miles = x[/tex]

Consumer Math Test
You borrow $13,000 to buy a car. You borrow the money for 4 years and the interest rate is 2.5%

Answers

Answer:

$1300                            hope this helps

Step-by-step explanation:

i= prn/100

i= 1300x2.5x4/100

i= $1300

A 2×2 square is divided into four 1×1 squares. Each of the small squares is to be painted either green or red. In how many different ways can the painting be accomplished so that no green square shares its top or right side with any red square? There may be as few as zero or as many as four small green squares.

Answers

Answer:

2

Step-by-step explanation:

Let's denote all the four square by 1, 2, 3, and 4 as shown in the figure.

Each of the small squares is to be painted either green or red

The total numbers of the possible cases are:

(1) The number of cases if there is no green color square = 1 (all red)

(2) The number of cases, if there is 1 green color square = 4 as either of 4 small squares can be green (1G,2G,3G,4G).

(3) The number of cases if there is 2 green color square = 2+4=6 as

for diagonal positions: 2 which are (1G,3G), (2G,4G).for non-diagonal positions:4 which are (1G,2G), (1G,4G), (2G,3G), (3G,4G)

(4) The number of cases, if there is 3 green color square = The number of cases, if there is 1 red color square= 4 as either of 4 small squares can be red (1R,2R,3R,4R).

(5) The number of cases if there is 4 green color square = 1 (all green)

So, the total numbers of possible cases = 1+4+6+4+1=16.

Now, possible positions for which no green square shares its top or right side with any red square are the diagonal positions as mentioned in point (3), i.e (1G,3G), (2G,4G)

So, the total numbers of favorable cases = 2

Hence the total number of different ways for painting each of the small squares so that no green square shares its top or right side with any red square is 2.

I listed possibilities:

1 Green Square:

RG

RR

2 Green Squares:

RG

RG

GG

RR

3 Green Squares

GG

RG

4 Green Squares

GG

GG

0 Green Squares

RR

RR

3.94x+36 =15.5236+
6x

Answers

Answer

i think its 9.94

Step-by-step explanation:

Answer:

x = 9.94

Step-by-step explanation:

I need this please fast!!!!!

Answers

Answer:

∠BEC = 54°

Step-by-step explanation:

ED and EA are opposite rays, which means that they form a straight angle.

Straight angle = 180°

Which means that,

∠AEB + ∠BEC +∠DEC = ∠AED

This is the equation we are going to use,

We also know that ∠CED = 72°

We know that BE bisects ∠AEC

Know, we know that ∠AEB =  (7x - 2)°

That means ∠BEC = (7x - 2)°  - This is because ∠AEB = ∠BEC

=>(7x - 2)° + (7x - 2)° + 72° = 180°

=> (14x - 4)° + 72° = 180°

=> (14x - 4)° = 180° - 72°

=> (14x - 4)° = 108°

=> 14x = 108° + 4°

=> 14x = 112°

=> x = (112 / 14)°

=> x = 8°

So, know we can find ∠BEC

(7x - 2)°

=> (7 * 8 - 2)°

=> (56 - 2)°

=> 54°

If my answer helped, kindly mark me as the Brainliest!!

Thank You!!

Find all solutions to 3x2 + 2x + 1 = 0

Answers

Answer:

x = -3.5

Step-by-step explanation:

3 x 2 + 2x + 1 = 0

6 + 2x + 1 = 0

2x + 7 = 0

2x = -7

x = -7/2 = -3.5

Hope this helped! If not, please let me know! <3

Only smart bros answer

Answers

Answer:

9 :/

Step-by-step explanation:

Answer:9

Step-by-step explanation:

3x9=27

27 divided by 3=9

1) x+30 = 40

2) 30-20+2x=10

3) 3x-10+13=-2x+28

4) 13x-23-45=-7x+12

5) 2(x+4) = 10x+24

6) 3(x-5) = 1-(2x-4)

7) 5X -10 = 15

2

8) X + 4 = X + 6

3 2

Answers

1)x+30=40

x=40-30

Answer :x=10

2)30-20+2x=10

10+2x=10

2x=0

Answer: x=0

3)3x-10+13=-2x+28

3x+3=-2x+28

3x+2x+3=28

3x+2x=28-3

5x=28-3

5x=25

x=5

4)13x-23-45=-7x+12

13x-68=-7x+12

13x+7x-68=12

13x+7x=12+68

20x=12+68

20x=80

x=4

5)2(x+4)=10x+24

2x+8=10x+24

2x-10x+8=24

2x-10x=24-8

-8x=24-8

-8x=16

x=-2

6)3(x-5)=1-(2x-4)

3x-15=1-(2x-4)

3x-15=1-2x+4

3x-15=5-2x

3x+2x-15=5

3x+2x=5+15

5x=5+15

5x=20

x=4

7)5x-10=15

5x=15+10

5x=25

x=5

8)x+4=x+6

4=6

no solution

PLEASE MARK ME AS BRAINLIEST

The side length of the square shown is tripled.
3 cm
Which percent of increase is greater the percent of increase for the perimeter of the square or the percent of increase for the area? How
much greater?
The percent of increase for the
is greater
It is
% greater

Answers

Answer:

The percentage increase for the area is greater

It is 600% greater

Step-by-step explanation:

Here, we have a square of side length 3 cm

The area of the square is L^2 = 3^2 = 9 cm^2

Perimeter of the square = 4L = 4 * 3 = 12 cm

When we triple the length of the square, its new length becomes 3 * 3 = 9 cm

Area here will be 9 * 9 = 81 cm^2

Perimeter = 4 L = 4 * 9 = 36cm

To calculate percentage change, we use the formula;

(new value - old value)/old value * 100%

For the perimeter;

(36-12)/12 * 100% = 24/12 * 100% = 2 * 100% = 200%

For the area;

(81-9)/9 * 100% = 72/9 * 100% = 8 * 100% = 800%

The percentage increase of the area is greater

How much greater? 800% - 200% = 600%

Subtract.
(2 + 7i)-(3-8i)

Answers

Answer is -1+15i that’s your answer

mark the error / s es de moninomios​

Answers

9514 1404 393

Answer:

  2x²2y³ -- Coefficiente: +4

  5xy -- Grado: 2

  -5x⁴y -- Grado: 5

Step-by-step explanation:

The coefficient of the literal part is the product of all of the numerical factors in the term.

  2x²2y³ = (2·2)x²y³ = 4x²y³ . . . . the coefficient is 4

As in the upper left box, the degree of the term is the sum of the exponents of the literals.

  5xy has a degree of 1+1 = 2

  -5x⁴y has a degree of 4+1 = 5

__

The remaining descriptions are correct.

Write 73.5 as a mixed number.

Answers

The answer is 73 1/2
Other Questions
Please help! I with give There is no answer choices Which of the following was NOT a Catholic Reformation leader?Ignatius of LoyolaMartin LutherPope Paul IIIPope Paul IV Which of the following statements about immigration to the United States aretrue?Check all that apply.I A. Early in the 20th century, European immigration was blocked.O B. Immigration is currently a major political issue.O C. The United States has mostly accepted Asian immigrants overthe years.OD. Immigration opponents warn that immigrants drive down U.S.wages. I need to find the missing angle of this triangle or whatever it is Read this excerpt from Poor Harold.A room in Washington Square South. By the light of a candle, a young man in tousled hair and dressing gown is writing furiously at a little table. A clock within strikes seven.A door at the back opens, and a young woman looks in, sleepily. She frowns. The young man looks up guiltily.SHE. What are you doing?HE. (innocently) Writing.SHE. So I see. (She comes in, and sits down. It may be remarked that a woman's morning appearance, in dishabille, is a severe test of both looks and character; she passes that test triumphantly. She looks at the young man, and asks) Poetry?HE. (hesitatingly) No. . . .SHE. (continues to look inquiry).HE. (finally) A letter. . . .SHE. (inflexibly) To whom?HE. (defiantly) To my wife!SHE. Oh! That's all right. I thought perhaps you were writing to your father.HE. (bitterly) My father! Why should I write to my father? Isn't it enough that I have broken his heart and brought disgrace upon him in his old age SHE. Disgrace? Nonsense! Anybody might be named as a co-respondent in a divorce case.HE. Not in Evanston, Illinois. Not when you are the local feature of a notorious Chicago scandal. Not when your letters to the lady are published in the newspapers. Oh, those letters!SHE. Were they such incriminating letters, Harold?HAROLD. Incriminating? How can you ask that, Isabel? They were perfectly innocent letters, such as any gentleman poet might write to any lady poetess. How was I to know that a rather plain-featured woman I sat next to at a Poetry Dinner in Chicago was conducting a dozen love-affairs? How was I to know that my expressions of literary regard would look like love-letters to her long-suffering husband? That's the irony of it: I'm perfectly blameless.Which excerpt uses direct characterization?The young man looks up guiltily_.HE. (hesitatingly) No. . . .HE. (defiantly) To my wife!That's the irony of it: I'm perfectly blameless. What does the dialogue show about Roberts character? 17-6r=25-3r answer it please 12c - 4c + 18 = 50 solving for variable just had a brain spat. help? Which of the following is not a roadway risk Can someone please help me on this math chart and graph above Ive already posted 3 pictures of it and no one is answering :( Ill mark as brainliest if you answer. Picture is above thank you. if a ramp is 12 meters long has a mechanical advantage of 6 whats its height brainly HELPP! PLEASE HELP ME!!!! l......... __________ 5. Chemical equilibrium is the result of A. all of the reactants being converted into products. B. stoppage of further reaction. C. formation of products equal in mass to the mass of the reactants. D. opposing reactions attaining equal rates. E. a loss of pressure in the system. In what type of government does the head of state serve a fixed term?In a(n)system, the head of state serves a fixed term. Describe the historical significance of Hernando de Soto's exploration of Georgia. You MUST use completa contar For addition, drag tiles onto the board.To form a group, place one tile on top of another.-5(-2) = Presented below is the trial balance of Sage Corporation at December 31, 2020. Debit Credit Cash $201,720 Sales $8,101,160 Debt Investments (trading) (at cost, $145,000) 154,160 Cost of Goods Sold 4,800,000 Debt Investments (long-term) 303,720 Equity Investments (long-term) 281,720 Notes Payable (short-term) 91,160 Accounts Payable 456,160 Selling Expenses 2,001,160 Investment Revenue 67,870 Land 261,160 Buildings 1,044,720 Dividends Payable 140,720 Accrued Liabilities 97,160 Accounts Receivable 436,160 Accumulated Depreciation-Buildings 152,000 Allowance for Doubtful Accounts 26,160 Administrative Expenses 904,870 Interest Expense 215,870 Inventory 601,720 Gain 84,870 Notes Payable (long-term) 904,720 Equipment 601,160 Bonds Payable 1,004,720 Accumulated Depreciation-Equipment 60,000 Franchises 160,000 Common Stock ($5 par) 1,001,160 Treasury Stock 192,160 Patents 195,000 Retained Earnings 82,720 Paid-in Capital in Excess of Par 84,720 Totals $12,355,300 $12,355,300 Required:Prepare a balance sheet at December 31, 2020, for Sage Corporation. What is 7x9? State your sentence below. The amount of force that is exerted on a balloon by the gas inside the balloon is.O A) temperatureOB) prlessureO C) volumeO D) heat