At the beginning of the year, Alyssa had $100 in savings and saved an additional $7
each week thereafter. Colton started the year with $55 and saved $10 every week. Let
A represent the amount of money Alyssa has saved t weeks after the beginning of the year and let C represent the amount of money Colton has saved t weeks after the
beginning of the year. Write an equation for each situation, in terms of t, and determine the famount of money Alyssa and Colton have saved in the week that they have the same amount of money saved.

Answers

Answer 1

Answer:

A = 7t + 100 and C = 10t+55 are the equations for each situation and they both will have an amount of $205 after 15 weeks.

Step-by-step explanation:

Given that:

Alyssa started savings with $100

Saved amount each week = $7

A = Amount of money Alyssa have

t = number of weeks

A = 7t + 100

Colton started savings with $55

Saved amount each week = $10

C = 10t + 55

For same amount;

A = C

7t+100 = 10t+55

100-55=10t-7t

45=3t

3t=45

Dividing both sides by 3

[tex]\frac{3t}{3}=\frac{45}{3}\\t=15[/tex]

Putting t=15 in Alyssa's equation

A = 7(15)+100

A = 105+100 = $205

Hence,

A = 7t + 100 and C = 10t+55 are the equations for each situation and they both will have an amount of $205 after 15 weeks.


Related Questions

Karsyn has a piece of wood that is 3 feet long. if she uses 2 and 13/16 feet to make a bookshelf, how many feet of wood does she have left?

Answers

Answer:

3/16 is left

Step-by-step explanation:

Raj polled 100 students in his class to compare the number of hours that boys and girls played video games each week. The results of his survey are shown below. Which gender shows greater variability in their playing time?

Hours of Video Game Time per Week for Boys
A box-and-whisker plot. The number line goes from 0 to 28. The whiskers range from 0 to 28, and the box ranges from 9 to 17. A line divides the box at 14.5.

Hours of Video Game Time per Week for Girls
A box-and-whisker plot. The number line goes from 0 to 28. The whiskers range from 0 to 28, and the box ranges from 3 to 15. A line divides the box at 6.
Boys show greater variability because the 3rd quartile for boys is 17 but only 15 for girls.
Boys show greater variability because the median playing time for boys is 14.5 but only 6 for girls.
Girls show greater variability because the interquartile range for girls is 12 for girls but only 8 for boys.
Girls show greater variability because the data for the girls is skewed toward the lower end of the box plot.

Answers

Answer:

c is the correct answer i took the test

Step-by-step explanation:

The gender that shows greater variability in their playing time is C. Girls show greater variability because the interquartile range for girls is 12 for girls but only 8 for boys.

How to find the interquartile range?

For the males, the interquartile range will be:

= Third quartile - First quartile

= 17 - 9

= 8

For the females, the interquartile range will be:

= Third quartile - First quartile

= 15 - 3

= 12

Therefore, girls show greater variability because the interquartile range for girls is 12 for girls but only 8 for boys.

Learn more about interquartile range on:

https://brainly.com/question/4102829

#SPJ2

write the word sentence as an inequality

a number "q" multiplied by 1/4 is greater than -16

ill give brainliest

Answers

Answer:

[tex]\frac{1}{4}[/tex]q > -16  or [tex]\frac{q}{4}[/tex] > -16

Step-by-step explanation:

pls answer the question!

Answers

Answer:

the first third and fourth one

Step-by-step explanation:

16 / 3/4= 16(keep) x (change from dividing to multiplying) 4/3 (flip)

15 / 3/5= 15 (keep) x (change from dividing to multiplying) 5/3 (flip)

12 / 4= 12 (keep) x (change from dividing to multiplying) 1/4 (flip)

so you keep the first number change the sign like for example if its dividing you'll change it to multiplying and if its adding you'll change it to subtracting then flip the fraction

hope this helped!!!

can i pleaseeee get brainliest thanks :))

A school has 100 students. on friday, 70 students went on a field trip. what percent of the students did not go on the field trip

Answers

Using percentages we know that 30% of students did not go on the field trip.

What is the percentage?A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" is also used, the percent symbol, "%," is frequently used to indicate it. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the word percent means.

So, the percentage of children that did not go to school:

The total number of students is 100.Students that went on the trip are 70.

Students that did not go:

100 - 70 = 30 students

30 students are % of 100:

30/100 × 100.30 × 10030%

Therefore, using percentages we know that 30% of students did not go on the field trip.

Know more about percentages here:

https://brainly.com/question/9553743

#SPJ1

List the intercepts of the graph.

Answers

Answer:

D

x-intercepts = (-[tex]\frac{\pi }{2}[/tex],0), ([tex]\frac{\pi }{2}[/tex],0)

y-intercept = (0,3)

x intercepts: when y = 0
Points (-pi/2,0) and (pi/2,0)
y intercept: when x = 0
Point (0,3)
The answer is D

Someone please help!
I will give brainliest

Answers

Answer:

C) 0.9 m

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Geometry

Surface Area of a Sphere: SA = 4πr²

Step-by-step explanation:

Step 1: Define

SA = 10.1 m²

Step 2: Find Radius r

Substitute [SAS]:                    10.1 = 4πr²Isolate r term:                         10.1/(4π) = r²Isolate r:                                  √[10.1/(4π)] = rRewrite:                                   r = √[10.1/(4π)]Evaluate:                                 r = 0.896511Round:                                     r ≈ 0.9

Answer:

0.9

Step-by-step explanation:

4(pi)r²= 10.1

4 × (pi) × r² = 10.1

r² = 10.1 / (4×(pi) )

r² = 0.8037

Therefore, r= 0.8965

~ 0.9

Solve Normally 2x-3=5
and Inequalitie 2x – 3 > 5

Answers

Answer:

87

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

solve for x = 4  

can you please i beg you.

Answers

9514 1404 393

Answer:

  a) 9/2 = 4.5, bushels per hour

  b) (3, 10), (6, 20), (9, 30), (12, 40)

  c) Shawn

Step-by-step explanation:

a) The line goes through the grid point (4, 18), so its slope is ...

  18/4 = 4.5 . . . . slope = "unit rate"

The units are (y-units)/(x-units) = bushels/hour.

__

b) You have correctly filled in the table.

Time-values are 3, 6, 9, 12.

Fruit values are 10, 20, 30, 40.

The unit rate for Carla is ...

  10 bu/(3 h) = 3 1/3 bushels/hour ≈ 3.33 bushels/hour

__

c) Shawn's unit rate of 4.5 bushels per hour is greater than Carla's unit rate of 3.33 bushels per hour. Shawn picked fruit at a faster pace.


The constant in 2x+8

Answers

Answer:

k = 1/4 is the constant variation of 2x+8

Step-by-step explanation:

Hope it's correct  ;D

Hshwhshshshwhahahsjajaj

an English teacher would like to divide 15 boys and 6 girls into groups each with the same combination of boys and girls and nobody left out what is the greatest number of groups that can be formed​

Answers

Answer:

7groups

Step-by-step explanation:

15+6/3=7groups

What is the equation of the graph?

Answers

Answer:

y = 4x

Step-by-step explanation:

Answer:

y=4x

Step-by-step explanation:

y=mx+b

m is the slope and b is the y intercept

i am in algebra two so you can trust my answer. if you need anymore help, lmk. happy holidays and stay safe!

my friend needs to know the percentage and if its growth or decay

Answers

Answer:

Growth

Step-by-step explanation:

If its multiplied by more than 1.0 its growth, if less, its decay

_2) Solve for r: 3r + 2-r=-4
A. 3
B.-3
C. 4
D.-4

Answers

Answer:

B. -3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

3r + 2 - r = -4

Step 2: Solve for r

Combine like terms:                    2r + 2 = -4Subtract 2 on both sides:            2r = -6Divide 2 on both sides:               r = -3
B is the answer to the problem

solve and find the value of x

5^(x-7) = 8​

Answers

Answer:

i believe  the answer is 8.6

Step-by-step explanation:

Plz, Help me with this question.

Answers

Answer: I think it is the last question

Step-by-step explanation:

yall in winter break already????

Answers

Answer:

nahhhhhhhh. Will be tomorrow tho wbu?.

Answer:

no I think tomorrow is the winter break

Step-by-step explanation:

so sad

1/4Wpw ww - 1/4BbwBwv - 1/4Ga Vw Gap

WTH help plz

Answers

Answer:

Can you explain the question lol in so confused

Step-by-step explanation:

Are the triangles congruent? and why?
SSS
SAS
ASA
AAS
HL

Answers

Answer:

they are congruent because SAS

Step-by-step explanation:

Helpppp plzzzzzzzzz plzzzzzzzzz

Answers

-4,-9/4, 1/2,s.r. 5, 3.7

;-;
Think you can lend me some help?

Answers

Answer:

0

Step-by-step explanation:

0 to the power of anything is 0.

For example,

[tex]0^1 = 0\\0^2 = 0\\0^3 = 0\\\\[/tex]

Technically speaking 0^4 is just 0*0*0*0 and all that equals 0.

I hope this helps!!

If you have any questions feel free to ask!

- Kay :)

Mi-Young makes 24 cups of seafood kalguksu.This is 60% of the total kalguksu she makes.

Answers

Complete question :

Mi-Young makes 24 cups of seafood kalguksu.This is 60% of the total kalguksu she makes. Total kalguksu made is?

Answer:

40 cups

Step-by-step explanation:

Given that :

24 cups = 60% of total made

Let total kalguksu made = x

Hence,

24 cups = 0.6x

24 = 0.6x

Divide both sides by 0.6

24/0.6 = x

x = 40

Hence, total seafood Kalguksu made = 40 cups

30 POINTS!!!

Jordan makes two batches of cookies each week for her book club. Each batch of cookies needs 1 2/3 cups of flour. If she starts with 16 1/2 cups of flour, for how many weeks can she make cookies? Explain your solution.

Answers

Answer:

She can make cookies for 4.95 weeks

Step-by-step explanation:

2 x 1 2/3 = 3.333333333

16.5/ 3.333333333 = 4.95

Since Jordan is making two batches of Cookies per week, you need to multiply 2 by the amount of resources needed to bake one batch of cookies. So you multiply 1 and 2/3 by 2 to get the amount of resources neccesary for one week of making cookies. Then, you take the full amount of resources that she has, and divide that by the amount she uses per week, that number will give you the number needed to figure out how many weeks she has to bake cookies.

To figure out the number that is being divided to get the whole number in weeks, you would take the 16.5 cups of flour. The reason why this is, is because that Is the starting number of cups that she has. So here you would need to divide the amount you are taking from it each week. This will result in the amount of weeks that she is able to bake cookies with her flour.

explanation plsss..​

Answers

Answer:

You will need 20 sides to complete the loop.

Step-by-step explanation:

The question isn't quite clear given how small the corner is, but I assume that we are looking to complete the circle if the pentagon and square are repeated in a loop

We can also see - assuming that those are proper equal-sided polygons, that PQ is the same length as PV

With that in mind, We can solve this by noting that the angle of a corner in a square is 90 degrees, and in a pentagon it's 108 degrees.

108 - 90 is equal to 18. This means that PQ is at eighteen degrees to YP. Also, QM, (which will be equivalent to the next VP is eighteen degrees to PQ.

This means that each polygon is rotated 18 degrees relative to it's neighbour.

With all that we can say that the total polygons we need to form a circle is 360/18 = 20, So you will need 20 polygons, or ten squares and ten pentagons to complete the loop.

A package of 3 pairs of insulated Gloves costs ​$26.67. What is the unit price of the pairs of gloves

Answers

Answer:

Step-by-step explanation:

if 3 pairs of gloves cost 26.67

one pair will cost

26.67/3=8.89

Answer:

$8.89

Step-by-step explanation:

$26.67 / 3 = $8.89

pls help meh...... with the question.....pls it's urgent ...........
if i will be correct....u will be marked as brainliest and and I will follow u....... thanks ​

Answers

Answer:

Decimal Places

1.6962 = 1.70 (2 d.p)

0.4247 = 0.425 to 3 d.p

0.007395 = 0.007 to 3 d.p

0.007395 = 0.0074 (4 d.p)

Significant Figures

32 549 = 32 500 (3 s.f)

32 549 = 32 550 (4 s.f)

909 520 = 910 000 (3 s.f)

909 520 = 909 500 (4 s.f)

Hope this helps :)

Which graph correctly represents question
y-4/3X-6

Answers

it’s the first graph :D

li mark was thinking of a number and divides it by 6,
then adds 12 to get an answer of 1.
What was the original number?
Can someone help me?

Answers

Answer:

-66

Step-by-step explanation:

because -66 divided by 6= -11

and -11+12= 1!!!

I hope this helps!!!!!

HAVE A WONDERFUL DAY!!!!

IS THIS RIGHT? PLS HELP!

Answers

Answer:

no

Step-by-step explanation:

Divide. Round to the nearest tenth

.16 divided by .03220

Answers

Answer

.16/.03220 is 4.96894409938   rounded= 5.0

Step-by-step explanation:

It is going to be 5 when you print it
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