At the beginning of the year, Evelyn had $30 in savings and saved an additional $12 each week thereafter. Cooper started the year with $75 and saved $7 every week. Let E E represent the amount of money Evelyn has saved t t weeks after the beginning of the year and let C C represent the amount of money Cooper 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 interval of time when Evelyn has more in savings than Cooper.

Answers

Answer 1

Answer:

E=12t+30 C=7t+75

Evelyn has more in savings than Cooper when  t > 9 weeks.Step-by-step explanation:


Related Questions

A coffee shop sells their coffee beans by the pound. The table below shows the cost, in dollars, for a pound of two different types of coffee. How much more is the cost for 1 1/3 pounds of Jimmy jitters beans than the cost for 1 1/3 pounds of Harry's Himalayan Beans?

Answers

Answer:

1 1/3 x 1/3 =234/6

Step-by-step explanation:

your mama


An appliance repair company charges $22 per hour to do repairs. In addition, the company charges a $35 flat-rate
fee per repair visit. Which equation represents the total cost, C, of a single repair visit that takes h hours?
A c (22 35)
B. C3522
C. C2335

Answers

The answer is C to your question

find the value of x.

Answers

Answer:

5

Step-by-step explanation:

5y+155=180

5y=180-155=25

y=5

5y+13x=90

13x=90-25=65

x=5°

Solve each of these equations. Explain or show your reasoning.

2(x+5)=3x+1

3y−4=6−2y

3(n+2)=9(6−n)

Answers


2(x+5)=3x+1 = 9

Subtract
2
x
2x from both sides then Subtract
1
1 from both sides.

gallon of
2
17. Mr. Jackson owns a vegetable juice stand. At the end of the day, he has
juice left. He pours an equal amount of the remaining juice mixture into 6 glasses.
What amount of juice does Mr. Jackson pour into each glass?
1
A.
gallon
12
B.
1
3
gallon
C. 3 gallons
D. 12 gallons

Answers

Answer:

12 gallons

Step-by-step explanation:

Find the surface area of the cylinder and round to the nearest tenth.

Answers

Click the link for the answer



http.///bitily8288292

Solve -5x < -35. Enter your answer as an inequality.

Answers

Answer:

x > 7

Step-by-step explanation:

-5x < -35

(Divide by 5)

-x < -7

(When dividing by a negative number, you flip the sign)

x > 7

The answer of given inequality is x > 7 .

What is inequality?

Inequality is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is not equal.

Given,

-5x < -35

Divide by 5 in inequality

-x < -7

Multiply by (-1) in inequality [flip the sign of inequality]

So, x > 7

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A graph shows the survey results for a group of students who
were asked how many honors classes they have taken and
how many elective classes:
Class Choices
Number of Elective Classes
0
lo 1 2 3
4
5 6 7 8
9 10 11
Number of Honors Classes
How many elective classes would students likely have taken if
they have taken 12 honors classes? (4 points)

Answers

Answer is 10 so yeah your welcome

Convert the decimal 0.07 to a fraction.

Answers

Answer:

7/100

Step-by-step explanation:

two decimal places so 100

Graph the line with slope -1/2 passing through the point (-1,-2)

Answers

Answer:

See attachment for graph

Step-by-step explanation:

Given

[tex]m = -\frac{1}{2}[/tex]

[tex](x_1,y_1) = (-1,2)[/tex]

Required

Graph the line

First, is to determine the equation of the line using:

[tex]m = \frac{y - y_1}{x - x_1}[/tex]

So:

[tex]-\frac{1}{2} = \frac{y - 2}{x - -1}[/tex]

[tex]-\frac{1}{2} = \frac{y - 2}{x +1}[/tex]

[tex]\frac{-1}{2} = \frac{y - 2}{x +1}[/tex]

Cross multiply:

[tex](y -2) * 2 = -1 * (x + 1)[/tex]

[tex](y -2) * 2 = -x -1[/tex]

Solve for y - 2

[tex]y -2 = -\frac{x}{2} -\frac{1}{2}[/tex]

Solve for y

[tex]y = -\frac{x}{2} -\frac{1}{2} + 2[/tex]

[tex]y = -\frac{x}{2} +\frac{-1+4}{2}[/tex]

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

The above equation will then be plotted on the graph (See attachment)

A culture of bacteria has an initial population of 470 bacteria and doubles every 8 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P t ​ =P 0 ​ ⋅2 d t ​ , where P_tP t ​ is the population after t hours, P_0P 0 ​ is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 7 hours, to the nearest whole number?

Answers

Answer:

Step-by-step explanation:

The population of bacteria in the culture after 7 hours is approximately 883.

What is an exponential function?

Several real-world phenomena, including population expansion, radioactive decay, compound interest, and the spread of diseases, are modeled using exponential functions. In calculus, where they are used to define the exponential and logarithmic functions—essential ideas in calculus and other fields of mathematics—they also play a significant role.

Using the formula [tex]P_t = P_0 \times 2^{\frac{t}{d}}[/tex], where P_t is the population after t hours, P₀ is the initial population, t is the time in hours and d is the doubling time, we can find the population of bacteria in the culture after 7 hours as follows:

Since the initial population is 470, we have P₀ = 470.

The doubling time is 8 hours, so we have d = 8.

Substituting these values into the formula, we get:

[tex]P_7 = 470 \times 2^{\frac{7}{8}}[/tex]

P₇≈ 882.77

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Help ASAP plzzzzzzzzzz

Answers

Answer:

what do u need help with

Step-by-step explanation:

there's no picture

Help with what u funny

im not understanding this and its making me frustrated can u help me?​

Answers

Answer:

B

Step-by-step explanation:

If the dot it open, it does not include the number. If the dot is shaded, it does include the number. Whichever way the orange line is pointing, corresponds to < or >.

Of segments CDF and CED, which of the segments has a greater area based on the given information? Justify with your work.(Do not use sin)

Circle A has radius 10m and m angle CAD=90 degrees
Circle B has radius 12m and m angle CBD=60degrees

Answers

Answer:

Segment CED has greater area

Step-by-step explanation:

Circle A

Area of ΔCAD, right triangle:

A = 1/2*10*10 = 50 m²

Area of the sector CAD:

A = 1/4*π*10² = 78.54 m²

Area of segment CED:

A = 78.54 - 50 = 28.54 m²Circle B

Area of ΔCBD, equilateral triangle:

A = √3/4*12² = 62.36 m²

Area of sector CBD:

A = 1/6*π*12² = 75.40 m²

Area of segment CFD:

A = 75.40 - 62.36 = 13.04 m²

Compare the areas of the segments:

CED = 28.54  > CFD = 13.04

Answer:

for 1 st

area of segment CAD=90/360×π×10²=78.54m²

for second

area of segmentBCD=60/360×π×12²=75.4m²

so

CAD has greater area

A roller coaster car starts at the loading platform, rises 30.4 meters, and then takes a steep dive of 50.4 meters into a valley. Plot the value of the altitude of the car after taking the steep dive directly on the vertical number line. Assume the platform is at an altitude of O meters. Drawing Tools Click on a tool to begin drawing. Delete Undo Reset​

Answers

Answer: the answer is 2.5 meters long

Step-by-step explanation:

A box contains 7 blue socks, 13 yellow socks and 5 green socks. What is the probability of choosing a green sock at random?


1/5


1/7


5/21


5/20

Answers

Answer:

1/5

Step-by-step explanation:

7 + 13 =20

20 + 5 = 25

5 is a fifth of 25

Answer:

[tex]\frac{1}{5}[/tex]

Step-by-step explanation:

There are 25 socks in total, only 5 of these are green.

The proportion would look like this:

[tex]\frac{5}{25}=\frac{1}{5}[/tex]

true or false: If a < b then a + c < b + c

Answers

Answer:

true

Step-by-step explanation:

Solve for x. The polygons in each pair are similar.

Answers

Answer:

x = 9

Step-by-step explanation:

We need to find the value of x if the polygons in each pair are similar.

As they are similar, the ratio of their sides are equal.

The sides of first polygon are 6,12 and 4.8. On the other hand, the sides of second polygon are (2x-9) and 18.

So,

[tex]\dfrac{6}{2x-9}=\dfrac{12}{18}\\\\\dfrac{6}{2x-9}=\dfrac{2}{3}\\\\\dfrac{3}{2x-9}=\dfrac{1}{3}\\\\x=9[/tex]

So, the value of x  is equal to 9.

ANSWER THE QUESTION FOR BRAINLIEST

Answers

Answer:

c -1 and 2

Step-by-step explanation:

can i have BRAINLIEST?

HELP PLZ!

The Fluffy Lump Cat Toy Company rents a warehouse facility. There
is a fixed cost of $1200 a month for rent and a variable cost of $5 per box of
toys that are stored. If the total cost for this month was $1315, how many boxes
of toys are being stored?

NO LINKS

Answers

Answer:

23 boxes of toys are being stored.

Step-by-step explanation:

There is a fixed cost of $1200 a month for rent and a variable cost of $5 per box of toys that are stored

This means that for x boxes of toys stored, the total cost is of:

[tex]C(x) = 1200 + 5x[/tex]

If the total cost for this month was $1315, how many boxes of toys are being stored?

This is [tex]x[/tex] for which [tex]C(x) = 1315[/tex]. So

[tex]C(x) = 1200 + 5x[/tex]

[tex]1315 = 1200 + 5x[/tex]

[tex]5x = 115[/tex]

[tex]x = \frac{115}{5}[/tex]

[tex]x = 23[/tex]

23 boxes of toys are being stored.

I am completely lost someone help!:)

Answers

Answer:

[tex]x = 26[/tex]

Step-by-step explanation:

Given

The above triangles

Required

Find x

The two triangles are similar. So we make use of the following equivalent ratios, to solve for x

[tex]XZ : ZY = JL : LK[/tex]

Replace each side with their measurements

[tex]13 : 10 = x : 20[/tex]

Express as fraction

[tex]\frac{13}{10} = \frac{x}{20}[/tex]

Solve for x

[tex]x = \frac{13}{10} * 20[/tex]

[tex]x = 1.3 * 20[/tex]

[tex]x = 26[/tex]

The model below represents 5x = 15.
Which is the value of x in the equation 5x = 15?

Answers

it would be 3! this equation is asking, 5 times what number (x) is equal to 15? 5 times 3 is 15, meaning x is 3.

Refer to the accompanying data set and use the 30 screw lengths to construct a frequency distribution. Begin with a lower class limit of 3.470 ​in., and use a class width of 0.010 in. The screws were labeled as having a length of 3 1/2 in

Answers

Answer:

Answer:

A) Total frequency = 30

B) Yes, the distribution is consistent with the label because the frequencies are greatest when the lengths are closest to the labeled size of 1/2 inches which is 0.5 inches.

Step-by-step explanation:

Since the class limit width is 0.010 from the question, we arrive at;

Class Limits Frequency

Length(Inches)

0.470 - 0.479 3

0.480 - 0. 489 5

0.490 - 0.499 9

0.500 - 0.509 12

0.510 - 0.519 1

Following is the frequency distribution table:

How to build a frequency table?

The lower limit is given as 3.470 inches.

The upper limit is 3.500 inches.

And the width of each class is 0.010 inches.

Therefore, the intervals will be:

3.470-3.480

3.480-3.490

3.490-3.500

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You notice that the client's bedroom is also proportional to a larger office that you have already completed. The diagram below shows the bedroom (left) and completed office (right). Use this diagram for Questions 3-6.

It cost $120 to buy the materials for crown molding in the completed office. (Crown molding is the decorative border where the walls meet the ceiling. It will go all the way around all four walls.) Using the same materials, how much will it cost to buy all of the crown molding for the bedroom? Round up to the nearest whole dollar.

Answers

Answer:

D. 75

Step-by-step explanation:

The cost to buy all of the crown molding for the bedroom would be $75.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

We are given that bedroom and office in the diagrams below are similar rectangles and the walls on the left sides in the diagram are proportional, and the walls on the top sides in the diagram are proportional.

Since it will cost $120 to buy the materials for crown molding in the completed office. Thus Crown molding is the decorative border where , the walls meet the ceiling. It will go all the way around all four walls.

Hence, cost to buy all of the crown molding for the bedroom = $75.

More can be learned about proportions at;

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Explain please answer

Answers

Answer:

69.08

Step-by-step explanation:

2×3.14=6.28

6.28×11=69.08

If the area of a right-angled triangle is 47 56 cm and its height is 11.6 cm. finds its base.​

Answers

Answer:

820          

Step-by-step explanation:

Hi so if your area is 4756, the base would be 820

Find the surface area of the prism.
15mm 10mm 8mm
A. 320 mm2
B. 400 mm2
C. 494.2 mm2
D. 502 mm2​

Answers

B I think I’m not sure because you did not include the type of prism... rectangular triangular? Also if your talking about lateral surface area! so 400mm squared b I think

A cone has a height of 7 ft and a radius of 4 ft. Which equation can find the volume of the cone?
ovaj x(798412
OV==(42)(7)
O V = 3x(72)(4)
O V = 3x(42)(7)

Answers

Answer:

1/3pi(16)(7)

Step-by-step explanation:

On the unit circle, an arc of length 2 subtends an angle, β. What is the radian measure of β?

Answers

Answer:

[tex](d)\ \beta = 2\ rad[/tex]

Step-by-step explanation:

Given

[tex]L =2[/tex] -- length of the arc

[tex]r = 1[/tex] --- radius of a unit circle

[tex]\beta =[/tex] the subtended angle

Required

Find [tex]\beta[/tex]

The length of an arc is:

[tex]L = r * \beta[/tex]

This gives:

[tex]2 = 1 * \beta[/tex]

[tex]2 = \beta[/tex]

Make [tex]\bets[/tex][tex]\beta[/tex] the subject

[tex]\beta = 2[/tex]

Hence:

[tex]\beta = 2\ rad[/tex]

Answer:

2rad

Step-by-step explanation:

Complete the sentences to compare the functions.
The range of f1(00) is
The domain of f(x) is
The minimum of f(x) is equal to the

Answers

Give me a second to take a look at it
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