Mike and Kate plan to save money for their wedding over a 20 month period. They will need to save $8,000 to help pay for the wedding. They set aside the same amount each month. After a year they saved $4,000. Mike and Kate know they must adjust their plan in order to meet their goal, so they came up with the following options:
Option A: Stay with saving the same amount they've been saving each month but postpone the wedding 2 months.
Option B: Increase the amount of money they save each month by $80 from what they've been saving.
Which of the following is a true statement?

Answers

Answer 1

Answer:

The Answer is Actually D. I just took the Test and got it Correct! have a Great Day.!!

Step-by-step explanation:

Answer 2

The true statement is that both plans will not amount to $8000 in the end

The target savings is given as:

[tex]Target = \$8000[/tex]

The amount saved after a year is given as:

[tex]Savings = \$4000[/tex]

Start by calculating the amount saved each month (by dividing the saved amount by 12)

[tex]Monthly = \frac{\$4000}{12}[/tex]

For option (A): To increase the wedding by 2 months.

This means that the duration of savings would be 22 months.

So, the estimated savings would be

[tex]Estimate= \frac{\$4000}{12} \times 22[/tex]

[tex]Estimate= \$7333[/tex]

For option (B): Increase savings by $80.

This means that they have 8 months to complete their savings

The estimated savings would be

[tex]Estimate= \$4000 + (\$80 + \frac{\$4000}{12}) \times 8[/tex]

[tex]Estimate= \$7307[/tex]

For both plans, the estimated savings are short of the target savings of $8000.

Hence, none of the plans would amount to $8000 in the end

Read more about estimates and predictions at:

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Related Questions

f(x) = -6x + 4
f (x) = 28

Answers

Answer:

x = - 4

Step-by-step explanation:

Given f(x) = - 6x + 4 and f(x) = 28, then equating

- 6x + 4 = 28 ( subtract 4 from both sides )

- 6x = 24 ( divide both sides by - 6 )

x = - 4

HELP HAVING BAD DAY
Find the value of b if the graph of the equation y=−5x+b goes through the G(4, 3) point.

Answers

Answer:

b = 23

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step 1: Define

y = -5x + b

G(4, 3)

Step 2: Find y-intercept b

Substitute point: 3 = -5(4) + bMultiply: 3 = -20 + bAdd 20 to both sides: 23 = b

Step 3: Write linear equation

y = -5x + 23

Answer:

The answer is y=-5x+21.5 --- B=21.5

Step-by-step explanation:

Pls Mark Brainliest

[tex]\huge\boxed{Write\;equations\;for\;the\;following...}\\\\1...\;\;(0, -2) & (3,0)\\2...\;\;(0, -3) & (-4, -5)\\3...\;\;(-3,-4) & (4,3)\\\\\\\boxed{Please\;show\;work!}[/tex]

Answers

Answer:

1. y = -2/3x + 2

2. y = 2/4x + -3

3. y = 1x -1

Answer:  see below

Step-by-step explanation:

Step 1: Find the slope (m) using the formula:    [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Step 2: Plug in the slope (m) and one of the points (x₁, y₁) into the Point-Slope formula.      y - y₁ = m(x - x₁)

1.    (0, -2) and (3, 0)

Step 1:    [tex]m=\dfrac{-2-0}{0-3}\quad =\dfrac{-2}{-3}\quad =\dfrac{2}{3}[/tex]

Step 2:   [tex]y-0=\dfrac{2}{3}(x-3)[/tex]

                     [tex]y=\dfrac{2}{3}(x-3)[/tex]

                    [tex]\large\boxed{y=\dfrac{2}{3}x-2}[/tex]

2.    (0, -3) and (-4, -5)

Step 1:    [tex]m=\dfrac{-3-(-5)}{0-(-4)}\quad =\dfrac{-3+5}{0+4}\quad =\dfrac{2}{4}\quad =\dfrac{1}{2}[/tex]

Step 2:   [tex]y-(-3)=\dfrac{1}{2}(x-0)[/tex]

                     [tex]y+3=\dfrac{1}{2}x[/tex]

                            [tex]\large\boxed{y=\dfrac{1}{2}x-3}[/tex]

3.    (0, -3) and (-4, -5)

Step 1:    [tex]m=\dfrac{-4-3}{-3-4}\quad =\dfrac{-7}{-7}\quad =1[/tex]

Step 2:   [tex]y-3=1}(x-4)[/tex]

              [tex]y-3=x-4[/tex]

                   [tex]\large\boxed{y=x-1}[/tex]      

Ms. Lincoln has a bucket full of pencils that she would like to divide up equally to her 28 students. If each student got 3 pencils, how many did she start with

Answers

Answer:

84

Step-by-step explanation:

28*3= 84

3x16-12 divided by 6
Evaluate the Expression

Answers

Answer:

6

Step-by-step explanation:

3x16-12 divided by 6

3 (16) - 12

     6

= 48 - 12

       6

= 6

Describe the transformation using the values for slope (m) and the y-intercept b. Compare the graph to the parent y = x.

Answers

Answer:

See attached

Step-by-step explanation:

y = mx + b - slope-intercept form

m- is the slope, the greater the slope the steeper the line, it gets flatter when is getting closer to zero

b- y-intercept, if be is positive it indicates vertical shift up, when negative- vertical shift down

Can someone please help me?

Answers

Answer:

x = 23

Step-by-step explanation:

180 - 42 = 138

138/6 = 23

x = 23

What is the value of x

Answers

X=70 same side interior angles=180 soooo you do 45+(2x-5)=180.40+2x=180.2x=140.x=70.

7w + 6(3w + 9)
Help ASAP

Answers

Answer: 25w+54

Step-by-step explanation:

Distribute:

=7w+(6)(3w)+(6)(9)

=7w+18w+54

Combine Like Terms:

=7w+18w+54

=(7w+18w)+(54)

=25w+54

Answer:

=25w+54

Answer:

25w + 54

Step-by-step explanation:

7w + 6(3w + 9)

7w + 18w + 54

25w + 54

Write in standard form y=2(x-1)^2+6

Answers

Answer:

Y=2x+2

Step-by-step explanation:

Im not 100% sure this is correct but what I did was

Y=2(x-1)^2+6

2(x-1) = 2x -2

Y=2x -2^2 +6

Y=2x -4 + 6

-4 + 6 = 2

So y=2x+2 (y=mx+b)

I hope this helps you

2+6k-18=-3k+11
show work
thanks!! :)

Answers

Answer:

k=3

Step-by-step explanation

1.)Group like terms 2+6k-18= -3k+11

2.)Add/Subtract the numbers 2-18=-16 6k-16= -3k+11

3.)Add 16 to both sides

4.)Simplify 6k=-3k+27

5.)Add 3k to both sides

6.)Simplify 9k=27

7.)Divide both sides by 9

8.)Simplify k=3

:)Hope you enjoy this:)

find each percent change. tell whether it is a percent increase or decrease
8 to 10
50 to 20
120 to 54
12 to 96
72 to 108
2 to 1.3

Answers

The 1st, 4th & 5th are increasing while the others are decreasing

Someone please help me

Answers

Answer:

Yes what is the question I would surely love to help u

Step-by-step explanation:

Sure tell me what is wrong

What is the slope of the line that passes through the points (2, 1) and (17, -17)

Answers

Answer: -6/5

Step-by-step explanation:

Do the formula, change in y divided by the change in x.

(-17 - 1)/(17-2) = -18/15 = -6/5

Multiply 6i(4-6i). Write the result in the form a+bi

Answers

24i + 36

6i (4 - 6i)

(6i)(4) = 24i

(6i)(-6i) = -36i^2

i^2 = (-1)

(-36)(-1)= 36

24i + 36

Answer:

36+24i

Step-by-step explanation:

over the summer, you read 20 books. Eight of these books were biographies.
a. find the ratio of biographies to the total number of books.
b. find the ratio of non-biographies to biographies
c. find the ratio of non-biographies to the total of the number of books.

Answers

Answer:

A. [tex]\frac{2}{5}[/tex]

B. [tex]\frac{3}{2}[/tex]

C. [tex]\frac{3}{5}[/tex]

Step-by-step explanation:

A. 8:20

   4: 10

   2: 5 = [tex]\frac{2}{5}[/tex]

B. 12: 8

    3: 2 = [tex]\frac{3}{2}[/tex]

C. 12: 20

    3: 5 = [tex]\frac{3}{5}[/tex]

Use the table to find the ratio. Enter the ratio as a fraction in simplest form.

Color of socks white black blue brown
Number of socks 6 4 9 5


The ratio of white socks to brown socks is

Answers

Answer:

[tex]white \: socks \: number = 6 \\ brown \: socks \: number = 5 \\ \frac{w \: s \: n}{b \: s \: n} = \frac{6}{5} = 1.2 [/tex]

The ratio of white socks to brown socks is 6:5.

Given that,

The white socks number is 6 and the brown sock number is 5.

Based on the above information, the calculation is as follows:

= 6:5

Learn more: https://brainly.com/question/17429689?referrer=searchResults

Ruben bought 6 comic books for $21dollar , 21. Each comic book was the same price.
what was the price of 1 comic book

Answers

Answer:

3.5 dollars

Step-by-step explanation:

The price of one comic book is 3.5.

I got this by dividing 21 and 6  

Answer:

$3.5

Step-by-step explanation:

21/6=3.5

A map shows a section of Interstate 94 that forms a straight line. A family plans to drive 72 miles on Interstate 94 from St Paul, MN to Elk Mound, WI. They drive for 20 miles, and then decide they will stop halfway through their trip to eat. How much farther do they need to drive before they stop for dinner?

Answers

Answer:

16 miles

Step-by-step explanation:

Given that:

Total distance of the trip = 72 miles

They have decided to stop half way their trip i.e. they will stop at a distance [tex]\frac{72}{2} =36[/tex] miles from the starting point.

Also, given that they have already traveled for 20 miles.

To find:

How much farther do they need to drive before they stop for dinner?

Solution:

Distance already covered = 20 miles

Distance to be covered before stopping for dinner = 36 miles

Distance to be covered more = Total distance to be covered before stopping - Distance already covered

[tex]\Rightarrow 36-20 =\bold{16\ miles}[/tex]

Here is some information about the goals scored in some hockey games.

Each game has four quarters.

Goals in hockey games

Number

of goals 5

The mean number of home

goals scored is 2.5

The mean number of away

goals scored is 1.8

How many home and away

games have been played

in total?

3rd

2nd

Quarter

Away goals

Key:

Home goals

Answers

Answer:

48 goals

Step-by-step explanation:

From the attached image, we can see that:

Number of Home Goals = 9 + 6 + 8 + 7

= 30

Number of Away goals = 2 + 7 + 4 + 5

= 18

Total number of goals = 30 + 18

= 48

1.) Graph the function y = x + 1 for the domain of 2,-1,0,1​

Answers

Answer:

(2,3) (-1,0) (0,1) (1,2)

Step-by-step explanation:

ez

(8.5 times 10^3)(1.1 times 10^1)

Answers

Answer:

93,500 or 9.35 x 10^4

Step-by-step explanation:

(8.5 x 10^3)(1.1 x 10^1)

8,500 x 11

8,000 x 10 = 80,000

8,000 x 1 = 8,000

500 x 10 = 5,000

500 x 1 = 500

93,500 or 9.35 x 10^4

What is the product?
2• [-1 0]

Answers

Answer:

-20

Step-by-step explanation:

Answer: The answer should be [-2 and 0]

Step-by-step explanation: Multiply 2 by each value inside the bracket. 2 times -1 is -2 and 2 times 0 is 0.

PLSS HELP 100 points and brainliest

Answers

Answer:(AB)C=28 12

x=4/8

the last one

4/0

Step-by-step explanation:

Answer:

x=4/8

Step-by-step explanation:

A(b) , Its absolutely the last one. c- (2-1=0) is

9-18 36

{5 -10 16.} .   Please brainliest

Which unit is commonly used in both the Metric and the US Systems of Units?
A. hour
B. gallon
C. centimeter
D. kilogram

Answers

Answer:

calculator soup. com

Step-by-step explanation:

go to this site

Answer:

D kilogram to measure length, liquid volume, and mass, just as the U.S. customary system uses feet, quarts, and ounces to measure these.

-9 ration or irrational

Answers

Answer:

this is rational

Step-by-step explanation:

you are considering applying for a job as a server for a local restaurant you see this graph displayed in some company literature in which ways if any is this graph misleading?
A. The vertical axis does not begin at zero.
B. The vertical scale has unequal intervals.
C. It is misleading both because the vertical axis does not begin at zero and because the vertical scale has unequal intervals.
D. The graph is not misleading.

Answers

Answer:

the answered is c

Step-by-step explanation:

what the answered says its correct and i took the test

Alan makes a fruit salad using strawberries and blueberries. He uses 5 cups of strawberries for every 3 cups of blueberries. Which measure represents the amount of strawberries Alan uses for every 1 cup of fruit salad? A. 3/8 cup B. 3/5 cup C. 5/8 cup D. 5/3 cup PLEASE HURRY I NEED THIS.

Answers

Answer:

C. 5/8 cup

Step-by-step explanation:

5 + 3 = 8Strawberries/total amount = 5/8

I hope this helps!

A handyman charges $150 plus $25 per hour for house painting. A painter charges $55 per hour. How many hours would a job have to take for both fees to be the same?

Answers

Answer:

The numbefr of hours spent painting each house

Step-by-step explanation:

You know that the cost of painting will include the product of the hourly cost (55 or 25) and the number of hours.

The equations have x multiplied by 55 or 25, so it is reasonable to assume that ...

Answer: Five hours.

150 + (25 x 5) = 275 and 55 x 5 = 275. I hope this helps you out!

The expression (3x − 4y2)(3x + 4y2) is equivalent to:

Answers

Answer:

9x-16y2

Step-by-step explanation:

Combine like terms! 3 x 3= 9   -4y2 x 4y2= -16

9x-16y2

Answer:

[tex]point \\ (a + b)(a - b) = {a}^{2} - {b}^{2} \\ so \: we \: have \: \\ ({3x})^{2} - ({4 {y}^{2} })^{2} = 9 {x}^{2} - 16 {y}^{4} [/tex]

i hope i have been useful buddy.

good luck ♥️♥️♥️♥️♥️

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