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


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Answer:

M= 32 x 3

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Answer: Yes it is proportional

Step-by-step explanation:

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

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Answer: 5.872

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

k = 3/13

Step-by-step explanation:

7k-3=6k

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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

Find the value of x.​

Answers

Answer:

x = 44°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

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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°

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Answers

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Answers

Answer:

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1) Find the perimeter of the following
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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

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Answers

Answer:

Step-by-step explanation:

2(2x-1)=6(x+2)  PEDMAS

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

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Answer:

x = -7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

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Step 2: Solve for x

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Answers

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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Answers

OPTIONS:

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Answer:

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Step-by-step explanation:

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

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

Answer:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answer:

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Step-by-step explanation:

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Answers

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Answers

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Step-by-step explanation:

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Answers

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Answers

Answer:

What is the name of the triangle

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Step-by-step explanation:

There shall be a picture so that you say its name

Hope it helps

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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