When you were born, your grandma put $308 into a bank account for you to have when you turn sixteen. She has specific directions that you must follow in order to access the money. Starting on your 16th birthday, you must withdraw (take out) $14 a week for ‘fun money.’
a. Write an equation to represent this situation.
b. When will you run out of money? Show all of your work for calculating this problem and don’t forget to include your units!
c. Find the domain & range of this problem in the real-world context.

Answers

Answer 1

Answer:

$308 - 14r

Number of weeks = 22 weeks

Step-by-step explanation:

Given that:

Amount kept in bank = $308; which should be withdrawn weekly at $14 per week

Total amount in bank - weekly withdrawal * number rof weeks

Let number of weeks = r

$308 - 14r

When will the money run out

$308 - 14r = 0

-14r = - 308

Divide through by 14

14r/13 = 308/14

r = 22

Tne entire money can be withdrawn for 22 weeks at $14 per week without any leftover.


Related Questions

What percent of 185 is 70?
(please show work)

Answers

Answer:

37.84

Step-by-step explanation:

Step 1: We make the assumption that 185 is 100% since it is our output value.

Step 2: We next represent the value we seek with x.

Step 3: From step 1, it follows that 100%=185.

Step 4: In the same vein, x%=70.

Step 5: This gives us a pair of simple equations:

100%=185(1).

x%=70(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left-hand side) of both equations have the same unit (%); we have

100% / x% = 185 / 70

Step 7: Taking the inverse (or reciprocal) of both sides yields

x% / 100% = 70/185

---> = 37.84%

Therefore, 70 is 37.84% of 185.

put these fractions to least to greatest 8/9 6/9 5/9 7/9 please help

Answers

8/9, 7/9 6/9 5/9 is it from least to greatest form

plzzz help

-7/9 times 9/8 in fraction form

Answers

Answer:

7/8 (simplified)

Step-by-step explanation:

Answer:

-7/8

Step-by-step explanation:

-7/9*9/8

Simplify

-7/1*1/8=

-7/8

X/2+3/8=1
What does x equal

Answers

Answer: X = 5/4

X/2 + 3/8 = 1

Subtract 3/8 from both sides.

X/2 = 1 - 3/8

Simplify 1 - 3/8

X/2 = 5/8

Multiply both sides by 2.

X = 10/8

Simplify 10/8

X = 5/4

Answer:

x=5/4

Step-by-step explanation:

Subtract 3/8 from both sides.

Then simplify.

Multiply both sides by 2.

And then simplify again.

Hope this helped! :)

Line AB is 14 inches long. What is the approximate area of the circle?






615.44 inches
21.98 inches
153.86 inches
43.96 inches

Answers

Answer:

The third one is closest

Step-by-step explanation:

half of the diameter=the radius 14/2 = 7 and the formula for the area of a circle is r^2π so 49 × π is 153.93804

Compare 3+ (-4) to (-4) + 3. What happens to the sum when the addends are reversed?

Answers

Answer: = 16ot + 6

Step-by-step explanation: coz I juss know

Find the midpoint of the segment with the following endpoints(-8,-6) and (2,-10)

Answers

Answer:

(-3, -8)

Step-by-step explanation:

-8+2/2= -3

-6 -10/2= -8

(-3, -8)

Factorise Fully:
21b-3b^2

Answers

See attachment for math work and answer.

Drag and drop the angle pairs to correctly match their description.

Answers

Answer:

<XAW and <UAY are vertical angles

<XAW and <XAZ are complementary angles

equivalent fraction using the lcd 7/10 and 5/6 NEED ANSWE LIKE NOW PLZZZ HELP WILL MARK BRAINLIEST

Answers

Answer:

2 i think. :D

Step-by-step explanation:

Jonas has salary of $2,000 each month. He pays income tax at a rate of 15%. How much income tax Jonas pay each month in dollars and cents?

Answers

2000•.15=300
jonas pays 300$ each month

In solving for y in the equation, what is the first step? -6x+3y=12

Answers

Answer:

Step-by-step explanation:

-6x+3y=12

You have to separate y from the other terms.

So add (-6x) to both sides and you'll get:

3y=6x+12

It takes Brian 15 hours longer to build a model car than it takes John. If they work together, they can build the model car in 4 hours. Using complete sentences, explain each step in figuring out how to determine the time it would take Brian to build the car on his own. (10 points)

Answers

Answer:

1/x + 1/( x+15 ) = 1/4  / · x ( x+15 )

   x+15 + x = x ( x+15 ) /4      / · 4

   8 x + 60 = x² + 15 x

   x² + 15 x - 8 x - 60 = 0

   x² + 7 x - 60 = 0

   x² + 12 x - 5 x - 60 = 0

   x · ( x + 12 ) - 5 ·( x+ 12 ) = 0

   ( x + 12 ) · ( x - 5 ) =0

   x = - 12  ( not accepted ) or  x = 5

   The time taken by Brian:  5 + 15 = 20 hours

Step-by-step explanation:

A rectangular tank has a length of 12 feet, width of 8 feet, and height of 5 feet. Frankie filled the tank with water at a rate of 4 cubic feet per minute. At this rate, how long will it take Frankie to completely fill the tank without overflowing it?

Answers

Answer:

Step-by-step explanation:

12 x 8 x 5 = 480/4= 120 minutes or 2 hours  

15+6x=45+8x
what does x equal

Answers

Answer:

X=-15

Step-by-step explanation:

Do simple math

Answer:

-15=x

Step-by-step explanation:

15 + 6x = 45 + 8x

       -6x            -6x

15 = 45 + 2x

-45   -45

-30 = 2x

/2       /2

-15 = x

Hope this helps!

ExplainHow to find the product 3/8 x 7/9

Answers

Answer:

7/8

Step-by-step explanation:

well first when you put them together like 3/8 and 7/9 you have to simplfy first. You have to cross simplify 3 and 3. Since they are the saem both turn into one. Now you mulitpy. 7 times 1 is 7 and 8 times one is 8. 7/8

Answer:

[tex]\frac{7}{24}[/tex]

Step-by-step explanation:

To factor an integer, we need to repeatedly divide it by the ascending sequence of primes (2, 3, 5...).

The number of times that each prime divides the original integer becomes its exponent in the final result.   In our example,  Prime number [tex]2^3=8[/tex]

[tex]\frac{3*7}{2^3*3^2}[/tex]

We need to perform a multiplication. The following rule is applied:

[tex]\frac{A}{B}*\frac{C}{D}=\frac{AC}{BD}[/tex]

In our example, the factors in the new numerator are 3,7

The factors in the new denominator are [tex]2^3, 3^2[/tex]

Bob played a trivia game in which he lost 3 points for each incorrect answer and gained 8 points for each correct answer. If Bob answered 11 questions correctly and 4 questions incorrectly, what was his total score?

Answers

Answer:

76

Because 11*8=88 and 4*3=12

88-12=76

Lula Krobo is paid a commission of 7% commission on all sales over $15,000 in a month and a monthly salary of $2,300. Her last month’s sales were $29,700. What were Lula’s total earnings for the month?

Answers

Answer:   $33,029.00

Step-by-step explanation: 29700 + 1029 + 2300

sales = $29,700

commission = $1,029

salary = $2,300

Plz mark brainliest:)

Which number line best shows the position of 13?

Answers

The 3rd number line because the square root of 13 is 3.6!

lindsey and Oscar have been selling popcorn for a class fundraiser. Oscar sold three times as many bags of popcorn as Lindsey. together they have sold a total of 92 bags of popcorn. how many bags did Oscar sell?

Answers

Answer:

Oscar= 69

Step-by-step explanation:

92/4 = 23

23 times 3=69

2 + 6x equals 1 - x​

Answers

Answer:

x = -1/7

Step-by-step explanation:

simplify by bringing all the x to the left and all the constants to the right:

6x + x = 1 - 2

7x = -1  (divide by 7)

x = -1/7

x=1/5

Step-by-step explanation:

2+6x= 1-x

=> Transfer the same algebraic terms in one side

2-1 = -x+6x

{things get negavtive sign when they are transfered to another side}

1=5x

x=1/5

I figured iut the greatest power which is 5, and the difference for the function which is 10. but my questions are.
12.) what is the "a" value for the function in the chart?
13.) what is the equation for the function above?​
please explain work

Answers

Answer:

12) a = 5

Step-by-step explanation:

a is found by dividing the second difference by 2.

10 = 2a

5   = a

What Is The Slope Of the Line

Answers

Answer:

2/2.5 or 3/4 I pretty sure that's right

plss explain 30 points

Answers

Answer:

The height increases as the ferris wheel goes up.

Step-by-step explanation:

Answer:

The ferris wheel goes up and that is the height and when the ferris wheel goes down that is the time so the line goes up and down just like the graph shown

Step-by-step explanation:

PLEASE HELP, GIVING BRAINLIEST!!!

These triangles are congruent by _____.

A. ASA
B. AAS
C. SSS
D. Not enough information
E. None of these

Answers

Answer:

A. ASA

Step-by-step explanation:

There are two angles and sides marked as congruent\

The angles in the middle are congruent by the Vertical Angles Theorem

They have congruent side with congruent angles adjacent so it's Angle Side Angle

What is the slope of a line perpendicular to the line whose equation is
12x – 2y = 24. Fully reduce your answer.

Answers

Answer:

-1/6

Explanation:

The slope of the line is: 6
And if two lines are perpendicular to each other, the product of their slopes is: -1

Step-by-step explanation:

The angle between the slope of the line parallel to the line whose equation is

[tex]12x-2y=24[/tex] is [tex]-1/6[/tex]

The slope intercept form is represented as follows;

[tex]y = mx + b[/tex]

where

m = slope

b = y-intercept

For a line perpendicular to another line the product of there slope is negative 1. Therefore,

m₁m₂ = -1

m₁ 1/6 = -1

m₁ = - 1/ 5

The line's angle of slope is 6

Additionally, the slope product of two lines that are perpendicular to one another is -1.

To learn more on linear equation refer to:

brainly.com/question/21010397?referrer=searchResults

#SPJ2

If you roll a standard number
cube 30 times, how many times
can you expect to roll a number
greater than 4

Answers

1/26 chance to do so

Which equation shows an example of the associative property of addition?

A. (–4 + i) + 4i = –4 + (i + 4i)
B. (–4 + i) + 4i = 4i + (–4i + i)
C. 4i × (–4i + i) = (4i – 4i) + (4i × i)
D. (–4i + i) + 0 = (–4i + i)

Answers

Answer:

I am pretty it's A

Step-by-step explanation:

Basically the Associative Law of Addition means that the order that the numbers are added does not matter.

Answer:

A. (–4 + i) + 4i = –4 + (i + 4i)

Step-by-step explanation:

edge2020

Have a great day y'all :)

I need help fast solve; question: using the distributive property: 4(x+9)

Answers

Answer:

x = 9

Step-by-step explanation:

4 x X + 4 x 9 =

4x + 36

36/4 = 9

i need help plz help me

Answers

Answer:

3000g

hope this helps

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