At the beginning of the year, Sadie had $70 in savings and saved an additional $18 each week thereafter. Jack started the year with $90 and saved $14 every week. Let S S represent the amount of money Sadie has saved t t weeks after the beginning of the year and let J J represent the amount of money Jack has saved t t weeks after the beginning of the year. Write an equation for each situation, in terms of t , t, and determine the amount of money Sadie and Jack have saved in the week that they have the same amount of money saved.

Answers

Answer 1

Answer:

$160

Step-by-step explanation:

Step one:

For Sadie

initial savings balance= $70

weekly savings = $18

Let S represent the amount of money Sadie has saved

and  t the number of weeks after the beginning of the year

The total amount in savings after t weeks is

S=18t+70-------1

For Jack

initial savings balance= $90

weekly savings = $14

Let J represent the amount of money Jack has saved

and  t the number of weeks after the beginning of the year

The total amount in savings after t weeks is

J=14t+90---------2

Step two

equation 1 and 2 to find t

18t+70=14t+90

18t-14t=90-70

4t=20

divide both sides by 4

t=20/4

t=5 weeks

so after 5 weeks Sadie and Jack will have the same amount of money

For Sadle t=5

S=18(5)+70-------1

S=90+70

S=$160

For Jack t=5

J=14(5)+90---------2

J=70+90

J=160

The two equations above shows that after 5 weeks their savings will be $160


Related Questions

Help please? Will mark correct and first answer as brainliest!! : )

Answers

Answer:

It Is O. 8

Step-by-step explanation:

Because you are suppose to round the number to the one in front of the other number

83/100 83%

.......................

what is the name of the triangle​

Answers

Answer:

What is the name of the triangle

Ans) triangle with all sides equal is called equilateral, a triangle with two sides equal is called isosceles, and a triangle with all sides a different length is called scalene. A triangle can be simultaneously right and isosceles, in which case it is known as an isosceles right triangle

Step-by-step explanation:

There shall be a picture so that you say its name

Hope it helps

Answer:

answer is C. isosceles

because of the two equal sides so it cant be equilateral and it can be right angle because it doesn't have a perpendicular bisector

Step-by-step explanation:

what is 3x3+27+27+27?

Answers

3x3+27+27+27. The answer is 90!

Answer:

its 90

Step-by-step explanation:

Alan compared the slope of the function y=3x+2 to the slope of the linear function that fits the values in this table. Which choice is true about the slopes of the two functions?

Answers

OPTIONS:

*The slope of the graph of the table is 1 more than the slope of the graph of the equation.

*The slope of the graph of the table is 2 more than the slope of the graph of the equation.

*The slope of the graph of the equation is 2 more than the slope of the graph of the table.

*The slope of the graph of the equation is 1 more than the slope of the graph of the table.

Answer:

The slope of the graph of the equation is 1 more than the slope of the graph of the table.

Step-by-step explanation:

The slope in the equation of the function, y = 3x + 2, is identified as 3.

We know this because, the equation for the function was given in the slope-intercept form, y = mx + b, where m represents the slope.

Therefore, the slope of the function is 3.

The slope of the function represented by the table of values can be calculated using any two given pairs on the table.

Using (1, 6) and (3, 10):

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_2} = \frac{10 - 6}{3 - 1} = \frac{4}{2} = 2 [/tex]

Slope of the function represented by the table of values is 2.

Therefore, comparing the slope of both functions, we can conclude that:

✅"The slope of the graph of the equation is 1 more than the slope of the graph of the table."

What is the equation of the vertical line through (-8, 5)

Answers

Answer:

The equation of the vertical line passing through the point (-8, 5) will be:

[tex]x=-8[/tex]

Step-by-step explanation:

As we have to determine the equations for the horizontal and vertical lines passing through the point (-8, 5).

To determine the equation for the vertical line passing through the point (-8, 5), we must observe that the vertical line will always have the same x-value regardless of y-values.

Therefore, the equation of the vertical line passing through the point (-8, 5) will be:

[tex]x=-8[/tex]

By how much does 2/3 of 12 exceed 3/7 of 5

Answers

Answer: 5.872

Step-by-step explanation:

Two thirds of twelve is eight and three sevenths of five is around 2.14 so subtract 2.14 from eight and you get the answer above

please helppppppppppp!

Answers

Answer:

3y - x = 21

Step-by-step explanation:

Answer:

3y - x = 21

Step-by-step explanation:

y = -3x - 8

The perpendicular line has the reciprocal slope.

So, the slope of this perpendicular line would be 1/3.

The equation that has the slope of 1/3 is 3y - x = 21.

Hope this helps!

1) Find the perimeter of the following
polygon
8 ft.
5 ft.

Answers

The answer is 21 :), the side without any number is also 8 because the line in it shows it’s congruent to the line on the opposite side so 8+8+5=21

5x-4y=-18 and x-4y=6

Answers

Answer:

x = -6 and y = -3

Step-by-step explanation:

x- 4y =6

x =4y +6......(i)

5x -4y =-18

20y +30 - 4y = -18

16y = -48

y = -3

x = -12+6

x = -6

Please help will brainlist

Answers

Answer:

14-C

15-B

16-D

17-C

Step-by-step explanation:

.......

a._x2 _ 25
How do you do this

Answers

Answer:

x=[tex]\frac{+}[/tex]5 or x=5, x=-5

Step-by-step explanation:

If the question is [tex]x^{2}=25[/tex] then you take the square root of both sides. [tex]\sqrt{x^{2}}=\sqrt{5^{2}}[/tex] because 25=5*5=[tex]5^{2}[/tex].

When you simplify you get x=[tex]\frac{+}[/tex]5

So x=-5, =5.

Apples are on sale for $3.12 per kilogram is the total cost of apples proportional to the total mass?

Answers

Answer:

proportional

Step-by-step explanation:

Answer: Yes it is proportional

Step-by-step explanation:

7k-3=6k what does k equal

Answers

Answer:

k = 3/13

Step-by-step explanation:

7k-3=6k

3 = 6k + 7k

13K = 3

k = 3/13

What is the m for this slope?

Answers

Answer: -1/4

Step-by-step explanation:

Slope=rise/run

We rise 1 up

We run 4 to the left (making it negative)

Answer:

Step-by-step explanation:

first of all m is slope and youre not giving me any numbers or resources to work with. Maybe pay attention just a bit in class

Identify the domain of the relation {(1,9), (2,5) (4, 6), (7, 1), (2,4)} .

Answers

The domain would be known as the list of the x which in this case would be listed as 1,2,4,7.

please show your working out for (x+2)(x+4)=

Answers

Answer:

.

Step-by-step explanation:

(x+2)(x+4)

=x(x+4)+2(x+4)

=x²+4x+2x+8

=x²+6x+8

Pick an lunch for every single day?

Answers

Answer:

The last one please.

I’m stuck between the chicken salad and the hamburger I’m probably leaning more towards the chicken salad because still has high protein and it’s healthy

How many real solutions does the function shown on the graph have?
A. no real solutions
B. one real solution
C. two real solutions
D. cannot be determined

Answers

Answer:

no real equations

Step-by-step explanation:

the line isnt touching the x intercept line meaning there wouldn't be any equations to begin with

what is the midpoint​

Answers

Answer: (-1,-3

the formula for midpoint is

((x+x)/2 , (y+y)/2)

=(-3+1)/2 , (-1+-5)/2
=-2/2 , -6/2
=-1,-3

Or you could just look at the graph and see that -1,-3 is where the exact middle of the line is

Which shape is similar to shape I? A. B. C. D.

Answers

the answer to your question is B!!
_____________
good luck on your assignment!! <3

E because it's in order

Can you guys please help me step by step ?2(2x-1)=6(x+2)

Answers

Answer:

Step-by-step explanation:

2(2x-1)=6(x+2)  PEDMAS

4x-2=6x+12  subtract 4x from both sides

-2=2x+12  subtract 12

-14=2x  divide by 2

x=  -7

Answer:

x = -7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

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

Step 2: Solve for x

Distribute:                                     4x - 2 = 6x + 12Subtract 4x on both sides:          -2 = 2x + 12Subtract 12 on both sides:           -14 = 2xDivide 2 on both sides:                -7 = xRewrite:                                         x = -7

Step 3: Check

Plug in x to verify it's a solution.

Substitute:                    2(2(-7) - 1) = 6(-7 + 2)Multiply:                        2(-14 - 1) = 6(-7 + 2)Subtract/Add:               2(-15) = 6(-5)Multiply:                        -30 = -30

Here we see that -30 does indeed equal -30.

∴ x = -7 is a solution of the equation.

I will give barinlest im not playing im frfr

Answers

M=32•3
M=96
She ran 96 miles O. o
Hope they helps!

Answer:

M= 32 x 3

M= 96

Carly ran 96 miles

Step-by-step explanation:

May I have brainliest please? :)

8.3 + 2.7 Adding and Subtracting Decimals

Answers

Answer:

your answer is 11

Step-by-step explanation:

Find the value of x.​

Answers

Answer:

x = 44°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Geometry

All angles in a triangle add up to 180°

Step-by-step explanation:

Step 1: Set up equation

x° + 104° + 32° = 180°

Step 2: Solve for x

Combine like terms:                    x + 136 = 180Subtract 136 on both sides:        x = 44°

Answer:

44°

Step-by-step explanation:

Because Sum of three angles of a triangle equals 180 °

So 180°-(104°+32°)

=180°-72°

=44°

Determine the type of triangle that is drawn below. PLZZ ASAP

Answers

Answer:

saclene obtuse

Step-by-step explanation:

sides all different and one angles is obtuse

Find the value of x so that f(x)=7.

Answers

Answer:

5

Step-by-step explanation:

At 7 on the y-axis, the x-axis is 5

Please helppppp me Idk how to answer this

Answers

c. Plug in 0 into the equation
y = (0)^2 + 10
y = 10
It would be (0,10)

Which of the following represent(s) an equation of the line passing through the points A(5, 6) and B(4,8). Select all that apply.​

Answers

Answer:

A, 6 and B, 4

2. How do you think the interaction between the
wind and the turbine blades result in electrical
energy? Explain your answer.

Answers

Answer:

Wind causes blade to move

Step-by-step explanation:

As blade moves, turbine work, and thus v get electricity from wind

Have a GOOD DAY.....

PLEASE HELP......rotate this image 90° counterclockwise and write the new coordinates for V’

Answers

Answer:

(1, 4)

Step-by-step explanation:

For people who are wanting to answer this question, just rotate this image three times to get the 90 degree counterclockwise image of the triangle :   )

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