Sharon and Tim each opene a savings account on the same day. Sharon started by putting $15 in her account, and she will deposit an additional $7 each week. Tim made an initial deposit of $35, and he will add $3 more each week. Eventually, Sharon and Tim will each have the same amount saved. What is that amount?

Answers

Answer 1
$50

$15 + $35 (5 weeks) = $50
$35 + $15 (5 weeks) = $50
Answer 2

Answer:

Step-by-step explanation:

Sharon y = 7x + 15

Tim  y = 3x + 35

7x + 15 = 3x + 35

4x + 15 = 35

4x = 20

x = 5 weeks

Sharon: 7(5) + 15 = 35 + 15 = $50

Tim: 3(5) + 35 = 15 + 35 = $50


Related Questions

The local gym charges a monthly membership fee of $5 and $2.25 Per day

Answers

Answer:

y=2.25x+5, where y is the total cost and x is the number of days

The temperature at 6:00am is -3°F.Over the next 12 hours, the temperature increases 15°F. Then, after 5 hours, the temperature decreases 8°F. What is the temperature at 11:00pm?

Answers

Answer:

??

         

Step-by-step explanation:

Given
y=x²+4x+3
find the vertex,
focus and
directrix

Answers

Answer:

Step-by-step explanation:

The given y=x²+4x+3 should be re-written in "vertex form," which is

y = a(x - h) + k, where (h, k) is the vertex.

Here y=x²+4x+3 = y=x²+4x + 4 - 4 +3 (completing the square), or

y = x^2 + 4x + 4 - 1. which condenses to   y = (x + 2)^2 - 1

Thus, h = -2 and k = 1, and so the vertex is at (h, k), or (-2, 1).  This parabola opens up.  The axis of symmetry is the vertical line  x = -2.

An alternative equation for a vertical parabola that opens up is:

y - k = 4p(x - h)^2.  Rewriting y = (x + 2)^2 - 1 to fit this form leads to:

y + 1 = 4p(x + 2)^2.  We must find the value of p that makes this equation true at any (x, y) on the graph.  Suppose we arbitrarily choose x = 1.  Then, according to y=x²+4x+3, y = 1^2 + 4(1) + 3, or y = 8 when x = 1.

Then y - k = 4p(x - h)^2 becomes 8 - 1 = 4p(1 + 2)^2, or

7 = 4p(9), or p = 7/36

The focus is thus 7/36 units above the vertex:  (-2 + 7/36), and the directrix is the horizontal line which is 7/36 units below the vertex:  y = -2 - 7/36.

Vertex:  (-2, 1)

Focus:  (-2, 2 7/36)

Directrix:  y = -2 7/36

i need help with this ASAP

Answers

Answer:

Step-by-step explanation:

1 and 2 are linear pairs

1 and 3 are verticle

4 and 5 are adjacent

Answer:

In order from top to bottom:

Adjacent

Vertical

Linear pair

Step-by-step explanation:

4 and 5 are Adjacent because they share a ray

1 and 3 are Vertical because they share a vertex and are the same measurement

1 and 2 are a linear pair because their angles add up to 180 degrees.

Σ (4m2 + 4)
= 1
how do i rewrite each series as a sum?

Answers

Answer:

what does that E thing mean

Step-by-step explanation:

Simplify and determine the coefficient of (- 2/3x)(-x)(3y)(-2x)

Answers

4x^2y the coefficient in 4

is 5/16 irrational or rational​

Answers

Step-by-step explanation:

m/n is a rational number if and only if both m and m are integers.

Since 5 and 16 are integers, the fraction 5/16 is rational.

will you get the same number of factors if you multiply a prime number by itself​

Answers

Answer:

Well i'm not very sure.. but to my knowledge, yes!

Step-by-step explanation:

1. Jose is planning a sixteenth birthday party for his friend. The invitations
cost $15, and each invitation will cost $0.39 to mail.
a. Write a linear function if C is the total cost and p is the number of
people invited.

Answers

Answer:

C= 0.39p

or

15=0.39p

Step by Step

$0.39 times the amount of people the invitation is being sent to

One month the family decides to shop around for "best buys" at different supermarkets
They are able to reduce the amount they spend on food from $700 that month to $615
What percent of their monthly income did they save? (Round your answer to the nearest
whole percent)

Answers

Answer:

12%

Step-by-step explanation:

85/700 × 100 = 12.14

Jesse plays table tennis for 60 minutes every week. how much time foes jessie spend time playing table tennis in 3 weeks?

Answers

Hey there! I'm happy to help!

Jesse plays for 60 minutes every one week. To find the amount in 3 weeks, we just multiply by 3.

60(3)=180

Jesse plays table tennis for 180 minutes in 3 weeks.

Have a wonderful day! :D

2x2= please get it right

Answers

Answer:

2x2 is equal to 4 for sure

Find the next 3 terms in the sequence -15,-11,-7,-3

Answers

Answer:

1,5,9

Step-by-step explanation:

2x+3y=7 solve for y.

Answers

Answer:

[tex]y=\frac{7}{3}-\frac{2}{3}x[/tex]

Step-by-step explanation:

To solve for y, we will have to get y by itself on one side of the equation, with all of the other variables and values on the other side.

2x + 3y = 7

Subtract 2x to both sides of the equation.

3y = 7 - 2x

Divide both sides by 3.

[tex]y=\frac{7}{3}-\frac{2}{3}x[/tex]

And now we have solved for y.

I hope you find my answer helpful.

Eleven less than seven times a number is five more than six times the number. Find the number.

Answers

Answer

x = 16

Step-by-step explanation:

7x-11=6x+5

Lorna is ordering more supplies she need to have the required supply amount how many covers does she need to order

Answers

Answer:

probaly about 3

Step-by-step explanat

5. Given that ABD and DBC form a linear pair, find the value of x if ABD = x° and DBC =80°.

Answers

Step-by-step explanation:

ABD+DBC=180°

x+80°=180

x=100°

(x²y³3)
What is the answer pls

Answers

Answer:

x•x•y•y•y•3

Step-by-step explanation:

I think you would have to put it in expanded form so the answer I gave should be correct.

Answer:

3x^2y^3

Step-by-step explanation:

Simplify the expression.

Solving square root equations
8 = square root of 15x + 4

Answers

Answer:

x is 4.

Step-by-step explanation:

8 times 8 is 64

64 minus 4 is 60

60 divided by 15 is 4

Please help!!
What is the value of the expression
?(2^4)^2

Answers

Answer:256

Step-by-step explanation:

A carpenter has a board that is 2/3 yard wide. He cuts the board into 5 pieces. If all the pieces are the same width, how wide is each piece?

Answers

Answer:

2/15 of a yard, or 4.8 inches wide each

Step-by-step explanation:

∠1 and ∠2 form a linear pair. If m∠1 = 5x + 9 and m∠2 = 3x + 11, find the measures of both angles.

Answers

Answer:

∠1 =109

∠2= 71

Step-by-step explanation:

if they are a linear pair that means they must both (when added together) equal 180 degrees, so this means we can add them and set them equal to 180!

8x+20=180

8x=160

x=20

then we just input them!

m∠1 = 5(20) + 9 = 109

m∠2 = 3(20) + 11 = 71

"8 cm I Circumference cm" can someone explain how to do this? plz?​

Answers

Answer:

The area of a circle is [tex]\pi r^{2}[/tex] which is given in the question. (r is radius)

The radius is the length from the centre of the circle to the border of the circle (8cm in this case)

Area of circle:

[tex]\pi r^{2} =\pi *8^{2} =64\pi =201.06cm^2[/tex] (2 decimal places)

Circumference of circle:

[tex]\pi d[/tex] (d is diameter)

The diameter is twice the radius and it is the length of a point on the circle to the opposite point of it.

[tex]\pi d=\pi *2*8=16\pi =50.27cm[/tex] (2 decimal places)

1-3x=3x+1 ANSWER NUMBER FORM NO WORDS AT ALL

Answers

Answer: x=0

Step-by-step explanation:

1-3x=3x+1

6x=0

x=0

A student worked out at a gym continuously for 50 minutes. The graph shows the remaining percentage of the workout as a linear function of x, the time in minutes.

Answers

Answer:

C. Domain:  All real numbers greater than or equal to 0 and less than or equal to 50. Range: All real numbers greater than or equal to 0 and less than or equal to 100

Step-by-step explanation:

Refer to attached

Continuation of the question:

Which answer choice best describes the domain and range of the function for this situation?

A

Domain: All real numbers greater than or equal to 0 and less than or equal to 100 Range: All real numbers greater than or equal to 0 and less than or equal to 50

B

Domain: (-2) Range: (100)

C

Domain: All real numbers greater than or equal to 0 and less than or equal to 50 Range: All real numbers greater than or equal to 0 and less than or equal to 100

D

Domain: (100) Range: (-2)

------------

As per the graph, the domain is x-values in the interval [0, 50] minutes and the range is y-values in the interval [0, 100] percentage.

Correct answer choice is therefore:

Option C

The rest are all incorrect

Answer:

C

Step-by-step explanation:

Facts

what property is this?

Answers

Answer:

i thinl its distributive property

Answer:

reflexive

reflexive property states that a number is equal to itself

hope this helps

Calculate the midpoint of segment EF if E (3, 4) and F (7,2).

Answers

Answer:

The answer is

( 5 , 3)

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

E (3, 4) and F (7,2)

The midpoint is

[tex]M = ( \frac{3 + 7}{2} \: , \: \frac{4 + 2}{2} ) \\ = ( \frac{10}{2} \: , \frac{6}{2} )[/tex]

We have the final answer as

( 5 , 3)

Hope this helps you

please help- I need this and don't understand it and some meanie didn't answer it with an acceptable answer :

Answers

Answer: [tex]|h-1.7| \le 0.5[/tex]

==========================================================

Explanation:

The endpoints of this compound inequality are 1.2 and 2.2

Add up the endpoints to get 1.2+2.2 = 3.4

Divide that result in half getting 3.4/2 = 1.7

The midpoint between 1.2 and 2.2 is 1.7

The distance from 1.7 to 1.2 is 0.5 units after we subtract the values (1.7-1.2 = 0.5). Also, from 1.7 to 2.2 is 0.5 units as well (2.2 - 1.7 = 0.5)

The compound inequality [tex]1.7 \le h \le 2.2[/tex] converts to the absolute value inequality [tex]|h-1.7| \le 0.5[/tex]

The portion h-1.7 represents the distance h is from 1.7; we want this distance to be 0.5 or smaller. The use of absolute value is to ensure the result h-1.7 is never negative.

If B is the midpoint of AC, and AC = 8x – 20,
find BC.
3x - 1
A
B
C

Answers

Answer:

x = 9

Step-by-step explanation:

Since B is the midpoint, that means segment AB has to be the same length as BC.

Therefore:

[tex]2(3x-1)=8x-20[/tex]

[tex]6x-2=8x-20[/tex]

[tex]18=2x[/tex]

[tex]9=x[/tex]

the function h(x)=-0.2(x-6)^2+1.8 models a boys jump into a swimming pool

Answers

Answimming

Step-by-step explanation:

okay

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