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

Can you step by step solve 20x+12=4x-16

Answers

Answer:

x = - [tex]\frac{7}{4}[/tex]

Step-by-step explanation:

Given

20x + 12 = 4x - 16 ( subtract 4x from both sides )

16x + 12 = - 16 ( subtract 12 from both sides )

16x = - 28 ( divide both sides by 16 )

x = [tex]\frac{-28}{16}[/tex] = - [tex]\frac{7}{4}[/tex] [ = - 1.75 ]

4) Anna uses 4 gallons of gas to drive 160 miles on the
highway. If she travels at the same rate, how many miles can she drive on 7 gallons of gas
A. 40 miles
B. 80 miles
C. 200 miles
D. 280 miles

Answers

Answer:

D. 280miles

*Step by step explanation*

miles= 160miles × 7gallons / 4 gallons

miles = 280 miles

could be wrong but i believe D is your answer

Lisa is decorating the outside edge of a square picture frame. She needs to know the side length of the frame. The area of the frame is mm square inches. Which shows the side length, in inches, of the picture frame?

Answers

Answer:

Step-by-step explanation:

If you have the area just divide it by 4 and that will give you the answer .

A square has all equal sides

-5x - 16 + 3x = -23 - 9x

???Anyone I need help

Answers

Answer:

x=−1

Step-by-step explanation:

Let's solve your equation step-by-step.

−5x−16+3x=−23−9x

Step 1: Simplify both sides of the equation.

−5x−16+3x=−23−9x

−5x+−16+3x=−23+−9x

(−5x+3x)+(−16)=−9x−23(Combine Like Terms)

−2x+−16=−9x−23

−2x−16=−9x−23

Step 2: Add 9x to both sides.

−2x−16+9x=−9x−23+9x

7x−16=−23

Step 3: Add 16 to both sides.

7x−16+16=−23+16

7x=−7

Step 4: Divide both sides by 7.

7x

7

=

−7

7

x=−1

Answer:

x=−1

Answer: x= -1

Step-by-step explanation:

It cost Hudson $28.20 to send 188 text messages. How much would it cost to send 63 text messages? PLZ HELP

Answers

Answer:

9.45

Step-by-step explanation:

28.20/188=.15

.15x63=9.45

A racecar driver holds the record for the fastest speed of 212.809 miles per hour.

Part A
What is 212.809 rounded to the nearest hundredth? Enter your answer in the box.



Part B
Which explains how you round 212.809 to the nearest hundredth?
A.


Since the digit in the hundredths place is less than 5, keep the digit in the hundredths place. Then drop the digit in the thousandths place.
B.


Since the digit in the hundredths place is less than 5, keep the digit in the tenths place. Then drop the digit in the hundredths and thousandths places.
C.


Since the digit in the thousandths place is greater than or equal to 5, increase the digit in the hundredths place by 1. Then drop the digit in the thousandths place.
D.


Since the digit in the thousandths place is greater than or equal to 5, keep the digit in the hundredths place. Then drop the digit in the thousandths place.

Answers

Answer: 212.81

C. Since the digit in the thousandths place is greater than or equal to 5, increase the digit in the hundredths place by 1. Then drop the digit in the thousandths place

Step-by-step explanation:

What is 212.809 rounded to the nearest hundredth?

When we want to round off 212.809 to the nearest hundredth, the main thing that we will need to consider is for us to look at the thousandths value that is contained in the number of 212.809, and this is is 9.

Since 9 is more than 5, iteams that we will have to add 1 to the number at the hundredth place. This.meane we will add 1 to 0 which will give us 1 and we them drop the digit in the thousandths place. Therefore,

212.809 = 212.81 to nearest hundredths

.9274 is it rational, whole, or integer

Answers

Answer:

rational

Step-by-step explanation:

Answer:

.9274 is a integer

Step-by-step explanation:

rational numbers have to be able to be written as a fraction.

.9274 is not a whole number.

therefore it is an integer.

In a community garden shown to the right you want to plan a fence in a vegetable garden that is adjacent to your friends Garden you have at most 44 ft of fence and the fence must around all four sides of your garden what is the possible lengths of your garden ​

Answers

Answer:

Length of the garden = 13 ft

Width of the garden = 9 ft

Step-by-step explanation:

Let the length of my new garden = l ft

It's given in the question,

width of the garden = 9 ft

Formula to calculate the perimeter of a rectangle is,

P = 2(L + W)

Where L = length of the garden

W = width of the garden

P = perimeter of the garden

Length of the fence = 44 ft

By substituting values in the formula,

44 = 2(l + 9)

22 = l + 9

l = 22 - 9

l = 13 ft

Therefore, length of my new garden = 13 ft

Width of the garden = 9 ft

Please help me with this question

Answers

Answer: C

Step-by-step explanation:

To find f(g(x)), you plug in g(x) into f(x).

[tex]f(g(x))=\sqrt{(8x-12)+8}[/tex]                [combine like terms]

[tex]f(g(x))=\sqrt{8x-4}[/tex]                           [factor]

[tex]f(g(x))=\sqrt{4(2x-1)}[/tex]                      [square root of 4]

[tex]f(g(x))=2\sqrt{2x-1}[/tex]

Now, we know that the answer is C.

Enrico translates figure Q to get figure Q’. Then he rotates figure Q’ to get figure Q’. Explain why figure Q and figure Q’’ are congruent

Answers

Pls help I’m in 9th grade and I’m having an exam the Q and many more there is someit

What are some ratios that are not equivalent to 6/9 I need this before 7 pm pacif time!

Answers

Answer:

1:8

33:8

1:1

88:99

6:7

235:9

Solve |7x+42| =14x. Identify the solution and an extraneous solution.

Answers

Answer:

x = 140.3333333........

Step-by-step explanation:

17x+421 = 14x

move the numbers with x's to the left and 421 to the right so it makes

17x then 14x is positive but moved to the opposite side it becomes negative.

Then 421 is positive on the left so moved to the right makes it negative.

Which is 17x-14x=(-421)

then you do 17x mines 14x which is 3x

3x = (-421)

Now your goal is to isolate your variable x. So divide both sides by 3 because x is multiplied by three you need to do the opposite.

x = 140.3333333..........

Answer:

Solution: x = 6;

Extraneous Solution: x = - 2

Step-by-step explanation:

what is the answer to -5x-x

Answers

Answer:

- 6x

Step-by-step explanation:

Step 1:

- 5x - x

Answer:

- 6x

Hope This Helps :)

- 6x

Step 1:   - 5x - x

Answer:  - 6x

Please answer both I'm really struggling with my homework

Answers

1/64 & 16
hope that helped :)

Answer:

[tex]D. \frac{1}{64}[/tex]  C. 16

Step-by-step explanation:

Second question:

[tex]2^{3}[/tex] = 2 × 2 × 2 = 8Plug 8 in: 6 ÷ 3 × 86 ÷ 3 = 2Plug 2 in: 2 × 8 = 16

I hope this helps!

What is the area of this shape????

Answers

20cm^2 assuming that each box is one cm

find the area of the isosceles triangle.

Answers

Answer:

60 cm

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

Find the sum. (-7/2z+4)+(1/5z-15)

Answers

Answer:

-(33+110z)/10z

Step-by-step explanation:

(-7/2z +4)+(1/5z -15)

from BODMAS, solving the one in the bracket

First(-7/2z +4)+(1/5z -15)

Find the Lcm

[-7/2z +4] +[1/5z -15]

(7+8z)/2z +(1-75z)/5z

find the Lcm which is 10z

[5(-7+8z) + 2(1-75z)]/10z

[(-35+40z)+(2-150z)]10z

(-35+2+40z-150z)/10z

(-33-110z)/10z

-(33+110z)/10z

The sum of the expression {(-7/2z) + 4} + (1/5z) - 15} is - 6/5z - 11.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

The sum of {(-7/2z) + 4} + (1/5z) - 15}.

= (-7/2z) + (1/5z) + 4 - 15.

= (-14 + 2)/10z - 11.

= - 12/10z - 11.                                    (LCM of 2z and 5z is 10z)

= - 6/5z - 11.

learn more about numerical expressions here :

https://brainly.com/question/29199574

#SPJ2

Explain why the product of two
negative integers is not negative. Use (−1)(−1)
as an example.

Answers

Because if you want to know -2 *-2
The minus also have there multiplication
As we know (-*-)=(+)
(-*+)=(-)
(+*+)=(+)

Solve4(a+4) - 2 = 34

Answers

Answer:

a = 5

Step-by-step explanation:

You have to isolate the variable by dividing each side by factors that don't contain a variable.

Answer  or  i can giv u the ansur if you want it

Step-by-step explanation:

which figures do not have lateral area?

Answers

Cylinder
Cone
Sphere
I guess

help!!!..

Gina rented shoes, bowled 3 games, and bought 1 order of

nachos. She used a coupon for half off the price of her bowling

games. What was Gina's total cost?

Answers

Answer:

It would be $ 8.25 without the tax.

Step-by-step explanation:

If you add $2.75(the cost for bowling shoes) then multiply the cost for one bowling game by 3, since she played 3 games, then add that to the cost of shoes, then add the cost for the food, which gives your $12.00. Then take 50% of the price of bowling games. Which is $3.75. Then replace that with the original price of the 3 bowling games! Which gets you.....$8.2 for the total cost without tax

Which property justifies the statement (x)+(-x)=0

Answers

Answer:

additive inverse property

Step-by-step explanation:

(x)+(-x)=0

The additive inverse property states

a+ -a =0

Answer:

The absolute property.

Step-by-step explanation:

A number plus the opposite of the number will always equal 0.

3.
Andrew wants to buy 28 radio sets. Each radio set costs $229. Give a
quick estimate of the total cost of the radio sets.

Answers

well if he wants to buy 28, i hate when people don’t just give the answer but if you just do $229 x 28 you’ll get $6,412

If h(x) = x2 + 3x +2. what does f(2) equal?
13
10
12
11

Answers

Answer:

Step-by-step explanation:

h(2) = (2)^2 + 3(2) + 2 = 4 + 6 + 2 = 12

12 is the answer

PLEASE HELP


show all work

Answers

Answer:

[tex]8i^{22}[/tex] - 1

Explanation:

It's actually quite easy to tell which simplifies to a real number without working out the problem.

[tex]i^{2}[/tex] = -1

Any imaginary number with an even exponent is simplified to a real number. If it has an odd exponent, it cannot be simplified to a real number.

Some tips for fully solving the expression:

If the exponent is divisible by 4, then don't change the sign of the coefficient. You're just multiplying it by 1 because [tex]i^{4}[/tex] = [tex](i^{2})^{2}[/tex] = [tex](-1)^{2}[/tex] = 1

If the exponent is divisible by 2, change the sign of the coefficient because you're multiplying it by -1.

Find the length of the segment AB if points A and B are the intersection points of the parabolas with equations y=−x2+9 and y=2x2−3 . URGENT PLS HELP

Answers

Answer:

The length is 4

Step-by-step explanation:

Type in the equations into Desmos, and you will find the intersected points in the graph. Then just look at the distance between the 2 points

Answer:

AB=4

Step-by-step explanation:

1. Since you are finding the intersection points of two parabolas:

a. y=-x²+9

b. y=2x²-3

2. You have to set them equal to each other:

2x²-3= - x²+9

2x²+x=9+3

3x²=12

x²=4

This is the crucial part; the absolute value of x is equal to plus minus the square root of 4, since either -2 squared with parentheses or 2 squared is equal to 4.

√x²=±√4

x=±2

or

x=2; x=-2

3. Then you substitute them into each equation. For this step, any sign 2 will work.

a. y=-(2)²+9

y=-4+9

y=5

b. y=2(2)²-3

y=8-3

y=5

4. So our coordinates will be (2,5) and (-2,5). These are the points of intersection.

5. Now we use the distance formula:

[tex]\sqrt{(x₂-x₁)^{2} +(y₂-y₁)^{2} }[/tex]

The subscripts didn't work for this but I mean the square root of x 2 - x 1 in parentheses plus y 2 -y 1.

[tex]\sqrt{(2+2)^{2} +(5-5)^{2} }[/tex]=

√16=

4

The absolute value rule that I mentioned above doesn't work for this because its a distance and you can't have a negative distance.

So AB=4

A group of experimenters has 60 wasps in a large container and needs to assign 15 to each of four groups labeled A, B, C, and D for an experiment. They can capture the wasps one at a time when the wasps enter a side chamber in the container that is baited with food. Which of the following methods is most likely to result in four comparable groups of 15 wasps each? (4 points) a- Place each wasp in its own numbered container (numbered from 1−60) in the order that it was caught. Write the numbers from 1 to 60 on slips of paper, put the slips in a jar, and mix them well. Pick 15 numbers out of the jar. Assign the wasps in the containers with those numbers to group A. Pick 15 more numbers for group B. Pick 15 more numbers for group C. Assign the remaining 15 wasps to group D. b- Label the first 15 wasps caught as group A, the second 15 caught as group B, the third 15 caught as group C, and the fourth 15 caught as group D. c- Write the letters A, B, C, and D on separate slips of paper. Pick one of the slips of paper randomly and assign the first 15 wasps caught to that group. Pick another slip and assign the next 15 wasps caught to that group. Pick another slip and assign the next 15 wasps caught to that group. Assign the remaining wasps to the remaining group. d- When each wasp is caught, roll a die. If the die shows an even number, the wasp is labeled A. If the die shows an odd number, the wasp is labeled B. When 15 wasps have been labeled A and 15 have been labeled B, split the remaining 30 wasps into groups C and D. e- When each wasp is caught, roll a die. If the die shows a 1 or 2, the wasp is labeled A. If the die shows a 3 or 4, the wasp is labeled B. If the die shows a 5 or 6, the wasp is labeled C. Repeat this process for 45 wasps. Assign the remaining 15 wasps to group D.

Answers

Answer:

The correct answer is:

a-

Place each wasp in its own numbered container (numbered from 160) in the order that it was caught. Write the numbers from 1 to 60 on slips of paper, put the slips in a jar, and mix them well. Pick 15 numbers out of the jar. Assign the wasps in the containers with those numbers to group A. Pick 15 more numbers for group B. Pick 15 more numbers for group C. Assign the remaining 15 wasps to group D.

Step-by-step explanation:

Each other answer is affected by the order in which wasps were caught, which may be due to a confounding variable.

(I also got this question right on my test :) Please rate this answer to help others. If you believe I am incorrect please rate 1 star so that others will know).

- 12x + 10x
how can i simplify this ?

Answers

Answer:

- 2x

Step-by-step explanation:

Step 1:

- 12x + 10x

Answer:

- 2x

Hope This Helps :)

Answer:

-2x

Step-by-step explanation:

Like the other problem, we want to combine our like terms(in this case, all terms with x's). In order to do this, all you have to do is ignore the x's and then add the numbers together. -12 + 10 = 2. Now that we've added them together, you can add the x back to get 2x.

A parent volunteer group is raising money by making custom hats to sell at school activities they plan to sell the hats for $11 each hat costs $5 to make they spent $50 advertising

Answers

Answer:

(11 - 5)n - 50

Step-by-step explanation:

Cost of 1 hat = $5Selling price = $11Advertising = $50

Let the number of hats be n. Then money made is

Profit for each hat:

(11-5)

Profit for n hats

(11 - 5)n

Deduct cost of advertisement - 50

(11 - 5)n - 50

Option C is correct

A golf player is trying to make a hole-in-one on the miniature golf green shown. 19.2 ft12.8 ft Imagine that a coordinate grid is placed over the golf green. The golf ball is at (4, 3.2) and the hole is at (15.2, 3.2). The player is going to bank the ball off the side wall of the green at (9.6, 12.8). Part 1 out of 2 Enter an equation for the path of the ball. Enter the parameter a as a fraction in lowest terms. y =

Answers

Answer:

- 12/7|x-9.6|+12.8

Step-by-step explanation:

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