Diane owes $11901.00 to the bank after completing her college degree. With the funds from her new job she is paying back $153.00 per month. Her friend Teresa was given $4906.00 in the bank for college from her family, and she is spending $337.00 per month out of this college fund. If these were continuous functions, after how many months will Diane have the same bank balance than Teresa, rounded to the nearest tenth

Answers

Answer 1
On average, parents pay 10% of the total amount due with borrowed funds; students cover 14% with student loans and other debt-forming sources. The remaining 29% of the cost of college is mostly covered by scholarships and grants won by the student: 17% by scholarships and 11% by grants.

Related Questions

An equation is shown below:

−2(4x − 1) − 7 = 5

Which statement shows a correct next step in solving the equation?

Answers

-2(4x-1)=5+7
(4x-1)=12/-2
4x=-6+1
x=-5/4

Answer:

Distribute -2 into (4x-1) to get rid of the parenthesis.

Step-by-step explanation:

The first thing you should to in solving for 'x'  is to get rid of the parentheses by distributing.

[tex]-2(4x-1)-7=5\\\\-8x-2-7=5[/tex]

Of course, you would also combine like terms to completely simplify the equation to solve for x.

[tex]-8x-9=5[/tex]

Hope this helps.

rewrite 1/4 books over 1/3 hour as a unit rate. A. 1 1/3 bookss/hour B. 1/12 books/hour C. 3/4 books/hour D. 12 books/hour

Answers

Answer:

The Answer would be option C. 3/4 books per hour

Step-by-step explanation:

You would flip 1/3 to 3/1 which makes it a whole number. then multiply

1/4 and 3.

Therefore your answer is 3/4

I hope this helped you,

X3-6x-16=0 solve by factoring

Answers

Answer:

X  =  3  √ 2  ( 3 x + 8 )

Step-by-step explanation:

2x+4=8x-2 i don’t know

Answers

Answer:

x = 1

Step-by-step explanation:

2x+4=8x-2

2x - 8x = -4 -2

-6x = -6

x = 1

Steps to solve:

2x + 4 = 8x - 2

~Subtract 4 to both sides

2x = 8x - 6

~Subtract 8x to both sides

-6x = -6

~Divide -6 to both sides

x = 1

Best of Luck!

which words name the shape ?

Answers

Answer:

D

Step-by-step explanation:

It's these shapes because:

Rectangle- A quadrilateral with 2 pairs of congruent sides and only 90° angles is a rectangle.

Parallelogram- A quadrilateral with 2 pairs of parallel sides is a parallelogram.

Answer:

The fourth one

Step-by-step explanation: The fourth one because a parallelogram has four sides that are equal which makes a parallelogram and the second thing is it's a rectangle.

Ratio of wins to losses in 42 games with 35 wins.

Answers

oh wait no nvm sorry i got t wrong im so sorry dont listen to me im trash



3. Burns has a bank account with a balance of $65.00. Burns paid $35.00 to
his credit card and he spends $40.00 for a hamburger. What would Burns's
bank balance be, after both debits were paid?

Answers

60 dollars

65+35=100

100-40=60

Brainliest?


Solve the equation.
t + 25 = 26

Answers

Answer: t = 1

Step-by-step explanation:

Subtract 25 on both sides. t = 1

The solution to the equation t + 25 = 26 is t = 1.

The given equation is,

t + 25 = 26

To solve this equation,

Isolate the variable t,

Which means we need to get rid of the 25 on the left side of the equation.

To do that, Subtract 25 from both sides of the equation,

since what we do to one side, we must do to the other to keep the equation balanced.

So,

t + 25 - 25 = 26 - 25.

Simplifying this, we have t = 1.

Therefore, the solution to the equation t + 25 = 26 is t = 1.

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Given A (-3,5) and B (6,7) find AB

Answers

Answer:2/9

Step-by-step explanation:

AB=[tex]\frac{7-5}{6+3}[/tex]

    =[tex]\frac{2}{9}[/tex]

6n + 4 = -6 what does n equal

Answers

Answer:

-5/3 or -1.7

Step-by-step explanation:

Answer:

n=  [tex]-1\frac{2}{3}[/tex] or [tex]-\frac{5}{3}[/tex]

State if the given functions are inverses. f(x) = 1/x + 3 g(x) = 4/x + 2

Answers

Answer:

  they are not inverses

Step-by-step explanation:

f(1) = 1/1 +3 = 1 +3 = 4

g(4) = 4/4 +2 = 1 +2 = 3 ≠ 1

If the functions were inverses, we would have g(f(1)) = 1, which we do not.

The given functions  are not inverses.

_____

The same would be true if your functions were

  f(x) = 1/(x+3) and g(x) = 4/(x+2)

  f(1) = 1/(1+3) = 1/4

  g(1/4) = 4/(1/4 +2) = 4/(9/4) = 16/9 ≠ 1

What is 4 divided by 348?

Answers

Answer:

4/348 = 0.01149425287

348/4 = 87

Step-by-step explanation:

348 divided by 4 is 87

4 divided by 348 is 0.01149425287

Hope this helps you :)

A brother and a sister want to split 300 dolars by the ratio of their age.How much money does each get if the brother is 14 and the sister is 11?​

Answers

Answer:

Brother: $168.00

Sister: $132.00

Step-by-step explanation:

14 + 11 = 25

300/25=12

Brother gets (12*14) $168.00

Sister gets (12*11) $132.00

Write using exponents. Work from left to right on the grid. 6 • 6 • 6
6 * 6 *6 = 6^3.

Answers

Answer:

216

Step-by-step explanation:

Given the question :

6 × 6 × 6

This depicts the product of a certain number in three places

6 × 6 × 6 = 6³

6 * 6 = 36

36 * 6 = 216

Hence, 6³ = 216

Find the midpoint of the segment with the following endpoints.
(10,7) and (5, 4)

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{(7.5 \: , \: 5.5)}}}}}[/tex]

Step-by-step explanation:

Let the points be A and B

Let A ( 10 , 7 ) be ( x₁ , y₁ ) and B ( 5 , 4 ) be ( x₂ , y₂ )

Finding the midpoint

[tex] \boxed{ \sf{midpoint = (\frac{x1 + x2}{2} , \: \frac{y1 + y2}{2})}} [/tex]

[tex] \dashrightarrow{ \sf{( \frac{10 + 5}{2} \: , \: \frac{7 + 4}{2} )}}[/tex]

[tex] \dashrightarrow{ \sf{( \frac{15}{2} \: , \frac{11}{2}}} )[/tex]

[tex] \dashrightarrow{ \sf{(7.5 \: , \: 5.5)}}[/tex]

Hope I helped!

Best regards! :D

What effect does decreasing the temperature of a room have on a lifespan of a battery?


Which variable is highlighted in red, bolded tex?

Answers

This question is incomplete. There are options in the question (from reference) and no highlight in the red bolded text in the question.

What effect does decreasing the temperature of a room have on a lifespan of a battery?

Which variable is highlighted in red, bolded tex?  

a . Independent

b . Dependent

c . Control

d . None

But the answer to both the independent and dependent variables will be provided and explained in detail.

Answer:

Independent variable: decrease in temperature

Dependent variable: lifespan of battery

 Step-by-step explanation:

The independent variable in an experiment is defined as the variable that can be changed or manipulated in order to find an outcome while the dependent variable is defined as the variable that is influenced by the changes in the independent variable.

In the given example, a decrease in temperature  is the dependent variable as it is changing and the lifespan of battery  is the dependent variable as it is responding to the independent variable ?9decrease in temperature).

Find the value of x in each case:

Answers

Answer:

x=15

Step-by-step explanation:

5x+(180-9x)+(180-8x)=180

total of a triangle angles is 180

Answer:

15°

Step-by-step explanation:

Step 1:

180° - 8x + 5x + 180° - 9x = 180°    Sum of Triangle

Step 2:

360° - 12x = 180°     Algerbra

Step 3:

- 12x = 180°      Algerbra

Step 4:

12x = 180° Algerbra

Answer:

x = 15°

Hope This Helps :)

2p +5q = 21
3p-2q=-16

Answers

Answer:

p =− 2

q = 5

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

p =− 2

q = 5

Answer:

q = 5

p = -2

Step-by-step explanation:

I'm gonna use elimination

2p + 5q = 21  Multiply 3 ------> 6p +15q = 63

3p - 2q = -16  Multiply 2 -------> 6p -4q = -32

 6p +15q = 63

 6p -4q = -32                                                                                                                  -__________

19q = 95

q = 5

To find P use any of the equations and substitute q to 5

3p -2(5) = -16

3p -10 = -16

3p = -6

p = -2

Please help me with this!

Answers

A (-5, 6)
B (-5, 2)
C (-9, 2)
D (-9, 6)

As it is just a rotation around the origin by 180, you can just change the sign in front of the numbers :)

There are 160 deer on Manitow Island. The population of deer is growing by approximately 20% per year. Write an equation using decimal form that can be used to find the amount of years,y, it will take for there to be approximately 450 deer on the island.

Answers

I believe the equation would be
160+0.2y

Because 160 deer and you round the 20% into a decimal point.

How can I Solve this ?

Answers

Angle SMA is 24 degrees
I can help just give me a sec ill send you the answer in messages

What is the equation of the line that has a slope of -4 and goes through (-1,6)

Answers

Answer:

y = -4x + 2

Step-by-step explanation:

We know that the equation of slope is y = mx + bWe also know that the slope is -4 given in this problem So:y = -4x + bUsing the point (-1, 6), we can substitute this point into the above equation to solve for b. (6) = -4(-1) + b6 = 4 + bb = 2Therefore the equation of the line is y = -4x + 2

What is the quotient of StartFraction 6 Over 7 EndFraction and StartFraction 3 Over 14 EndFraction?
(A) 1/4
(B) 2
(C) 3 1/3
(D) 4

Answers

Answer:

The correct answer is (D) 4

Step-by-step explanation:

Hopes this helps!

Answer:

(D) 4

Step-by-step explanation:

6/7

÷

3/14

=  

6/7

×

14/3

=  

6 × 14

7 × 3

=  

84/21

=  

84 ÷ 21

21 ÷ 21

=  4

What are the next two terms in the sequence?
5, 16, 27, 38 ...

Answers

Answer:

the next two terms are 49, 60

       

Answer:

49, 60

Step-by-step explanation:

There is a common difference between consecutive terms in the sequence.

16 - 5 = 27 - 16 = 38 - 27 = 11

Thus to obtain the next term, add 11 to the previous term, that is

38 + 11 = 49

49 + 11 = 60

Find the slope “m” and the y-intercept “b”. a. y = 3x − 4 b. 4x − 5y = 15

Answers

Step-by-step explanation:

Equation of a line is y = mx + b

where

m is the slope

b is the y intercept

First question

a.)

y = 3x - 4

Comparing with the general equation above

Slope / m = 3

The y intercept / b = - 4

Second question

b).

4x - 5y = 15

First we must write the equation in the general equation above by making y the subject

That's

5y = 4x - 15

Divide both sides by 5

That's

[tex] \frac{5y}{5} = \frac{4}{5} x - \frac{15}{5} [/tex]

We have

[tex]y = \frac{4}{5} x - 3[/tex]

Comparing with the general equation above

Slope = 4/5

Y intercept = - 3

Hope this helps you

a woman buys a plot of land of area 0.36hectares she pays $8.50 per square meter for the land what is it's total cost​

Answers

Answer:

$30,600

Step-by-step explanation:

1 hectare = 10,000 [tex]m^2[/tex]

0.36 hectare = 0.36 * 10000 [tex]m^2[/tex] = 3600 [tex]m^2[/tex]

She pays $8.50 per square meter. Thus, the total cost is:

[tex]3600 * 8.50 = \$30,600[/tex]

Answer: $30,600

4x plus 1 divided by 3 equals x minus 5 divided 2

Answers

4x+1/3 = x-5/2

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

8x+2 = 3x-15

8x-3x = -2-15

5x = -17

x = -17/5 (Fraction form) x = -3.4

In fraction form the answer is X equals to negative 17 divided by 5 (x = -17/5)

In decimal form the answer is X equals to negative 3 point 4 (x = -3.4)

After solving the equation, the value obtained for x will be equal to -17/5.

What is an equation?

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given statement in the question,

The equation for the given statement will be,

(4x + 1)/3 = (x - 5)/2

8x + 2 = 3x - 15

8x - 3x = -15 - 2

Solve the equation for x.

5x = -17

x = -17/5

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I need help with this math problem please

Answers

Answer:

65 -3x = 55 -2.5x20 periods$5

Step-by-step explanation:

The value of the first card starts at $65 and decreases by $3 for each of x periods. Its value is ...

  65 -3x

The value of the second card starts at $55 and decreases by $2.50 for each of x periods. Its value is ...

  55 -2.5x

The equation that can be used to find x that makes the values equal is ...

  65 -3x = 55 -2.5x

__

The solution can be found by adding 3x-55 to both sides of this equation.

  10 = 0.5x

Multiplying by 2 gives ...

  20 = x

After 20 30-day periods. the cards will have the same value.

__

The value after 20 periods is ...

  65 -3×20 = 65 -60 = 5

Both cards will have a value of $5 when they have the same value.

Nick uses 1/4 cup of vinegar for every 1 cup of olive oil when making salad dressing.
Using this recipe, how much vinegar would he need to make salad dressing with 12 cups of olive oil?

Answers

Answer:

3 cups of vinegar

Step-by-step explanation:

∵ Nick uses the amount of vinegar for every 1 cup of olive oil = [tex]\frac{1}{4}[/tex] cup

∴ He will need the amount of vinegar for 12 cups of olive oil = [tex]\frac{1}{4}\times 12[/tex] cups

                                                                                                 = 3 cups

Therefore, Nick will need 3 cups of vinegar to make salad dressing.

57 toys are split into groups of 4 toys. What question do we need to answer here? pls answer quick! this test is already missing and I need to complete it! please no wrong answers :(( it's due in like 20 mins :/

Answers

Answer:

im thinking its how many toys you need in each group?

Step-by-step explanation:

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