On Day 16 (in Segment 5), Ebony deposited $100 into her account. On each day after Day 16 (Segment 6) Ebony made a deposit, and those deposits were equal to each other.
(a) Explain how you can determine, just by looking at the graph, whether the amounts she deposited after Day 16 were each less than, equal to, or greater than $100.
(b) Use the graph to estimate B(21) in hundreds. Explain how you determined this estimate. Then, show how you can estimate the amount of money Ebony deposited into her account each day after Day 16.
Answers
Answer:
A)
Less than $100
B)
[tex]B(21)=300[/tex]
For each day after Day 16, Ebony deposited $40.
Step-by-step explanation:
We know that on Day 16 she deposited $100 into her account.
And each day after Day 16, she made a deposit and each deposit were equal to each other.
So, let's answer each of the questions using the available information.
Part A)
Notice that the 5th Segment starts and ends with the 5th to the 6th Point. The 6th Point represents the 16th Day, where B(16)=100.
We want to know whether or not each of her deposits after Day 16 were less than, equal to, or greater than $100.
We can immediately conclude that it must be less than $100 because we can see that the slope of the 6th Segment is less steep than the slope of the 5th Segment.
Since it is less steep, this means that the unit rate of change from each day after Day 16 is less than the unit change on Day 16, which is $100/day.
So, the each of the deposits made after Day 16 is less than $100.
Part B)
We want to estimate B(21) in hundreds.
Remember that Ebony's maximum balance is $400.
Also, recall that the first point is $200.
B(21), the 7th Point, seems to be between the 2nd/3rd Point and the 1st Point.
So, it is reasonable to say that at the 21st Day, her account balance was (200+400)/2=600/2=$300.
We know that at Day 16, her account balance was $100. So, we have the point (16, 100).
And at Day 21, her account balance is $300. So, (21, 300).
Since each deposit after Day 16 is the same, it has a constant rate of change. So, we can use the slope formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let (16, 100) be (x₁, y₁) and let (21, 300) be (x₂, y₂). Substitute them into the slope formula. This yields:
[tex]m=\frac{300-100}{21-16}[/tex]
Subtract and divide. So:
[tex]m=\frac{\$200}{5\text{ days}}=\$40\text{/day}[/tex]
So, for each day after Day 16, Ebony deposited $40.
And we're done!
Related Questions
Mike is 5 years old and Randy is 8 years old. Select all proportional relationships that have the same ratio to that of mike and randys age
Answers
Answer:
5:8 po ba ang ratio kasi 5mike
and 8randy old
The proportional relationships that have the same ratio to that of mike and randys age include:
Sarah is 40 years old and her mother is 64 years old.Phill is 40 years old and Moleka is 25 years old.Since Mike is 5 years old and Randy is 8 years old, their ratio is 5:8.
Also, since Sarah is 40 years old and her mother is 64 years old. We can divide their ages by 8. Then the ratio will be 5:8.
Phill is 40 years old and Moleka is 25 years old. We can divide their ages by 5. Then the ratio will be 5:8.
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Find the value of x.
Answers
its 38 (sorry if i get u wrong)
PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((
Answers
Answer:
28
Step-by-step explanation:
For the area, since it is 49, each side should be equal, so the sides are 7. To get perimeter, you add all the sides together, or since all four side are equal, take 7 and multiply it by 4.
what is the slope of this line ((2,3) (5,5) (8,7)
Answers
Answer:
[tex]\huge\boxed{\text{the slope}=\dfrac{2}{3}}[/tex]
Step-by-step explanation:
The formula of a slope
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Put the coorcinates of the points:
(2, 3); (5, 5)
[tex]m=\dfrac{5-3}{5-2}=\dfrac{2}{3}[/tex]
(2, 3); (8, 7)
[tex]m=\dfrac{7-3}{8-2}=\dfrac{4}{6}=\dfrac{4:2}{6:2}=\dfrac{2}{3}[/tex]
The point (2, 3), (5, 5) and (8, 7) are collinear because have the same slope.
What is the product?
(x4)(3x2 - 2) (4x2 + 5x)?
Answers
Answer:
1 Remove parentheses.
{x}^{4}(3{x}^{2}-2)(4{x}^{2}+5x)x
4
(3x
2
−2)(4x
2
+5x)
2 Expand by distributing terms.
(3{x}^{6}-2{x}^{4})(4{x}^{2}+5x)(3x
6
−2x
4
)(4x
2
+5x)
3 Use the FOIL method: (a+b)(c+d)=ac+ad+bc+bd(a+b)(c+d)=ac+ad+bc+bd.
12{x}^{8}+15{x}^{7}-8{x}^{6}-10{x}^{5}12x
8
+15x
7
−8x
6
−10x
5
Find the solution of y=x-3
Answers
Answer:
x=3
Step-by-step explanation:
0 = x -3
-x = -3
change the sign to positive so x= 3
Help with a question on canvas
Answers
Given: x - 6 > -2
Choose the solution set.
{x | x ∈ R, x > 4}
{x | x ∈ R, x > -8}
{x | x ∈ R, x < 4}
{x | x ∈ R, x < -8}
Answers
The first one is the answer
help.......will be marked brainiest_ ONLY IF CORRECT PLS NOTE
Answers
Answer:
3,1
Step-by-step explanation:
Work out this problem: 2x + 3x -12x Show you work
Answers
Answer:
-7x
Step-by-step explanation:
2x + 3x - 12x
Add 2x + 3x, resulting in 5x
5x - 12x = -7x
It's negative because the -12 is the bigger number.
Hope this helps :D
Find −6 3/8−1/4. Write your answer as a mixed number in simplest for
Answers
Answer:
Usually, a mixed number is the simplest way to express an improper fraction – but sometimes, the fraction ... Don't express the answer as a decimal. Instead ... So, add the whole number back in to get a final result of 6 1/2. ... Write out the factors for the numerator of your fraction, then write out the factors for the denominator.
Step-by-step explanation:
Answer:
mixed number is a number consisting of a whole number and a proper fraction.
Below are examples of mixed numbers:
4\dfrac12, 1\dfrac38, 12\dfrac564
2
1
,1
8
3
,12
6
5
Step-by-step explanation:
make me as brain liest
Luna brought all her savings with her to ieme, in euros,
For the first week, she spent the same amount of money
each day. The table shows how much Luna had left at the
end of each day
What was the initial value of Luna's savinge?
A.) 35 euros
B.) 350 euros
C.) 315 euros
D.) 80 euros
Answers
Answer:
The answer is B. 350 euros
Step-by-step explanation:
350 euros was the initial value of Luna's savings. Thus option B is correct.
What is the sum?Merging objects and identifying them since one big bunch is done through addition. In arithmetic, addition is the technique of adding two or more integers together. The product can meet are the quantities that are included, and the outcome of the operation, or the final response, is referred to as the sum.
The data that is presented suggests that there will not be a change in the first week this remains still at 315. They left out the amount that was 35.
Therefore the initial amount of the savings that the person has was the sum of both amounts.
= 315 + 35
= $350
Therefore, option B is the correct option.
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Luna brought all her savings with her to Rome, in euros. For the first week, she spent the same amount of money each day. The table shows how much Luna had left at the end of each day. What was the initial value of Luna's savings? Day Euros ? 315 1 2 280 3 245 4 210 5 175 6 140 7 105 35 euros 315 euros 80 euros 350 euros
How do i do this problem
Answers
Answer:
no clue
Step-by-step explanation:
Community Gym charges a $50 membership fee and a $70 monthly fee. Workout Gym charges a $190
membership fee and a $60 monthly fee. After how many months will the total amount of money paid to
both gyms be the same? What will the amount be?
After
months the amount paid to both gyms will be $
Answers
Answer:
14 month
Step-by-step explanation:
Lets create equations for these two gyms. I believe this is an algebra 1 problem.
Community Gym: y=70x+50
Workout Gym: y=60x+190
Because both gyms are equal to y, we can set them together and solve for x.
70x+50=60x+190
10x=140
x=14
You can find the cost by plugging in 14 into both of the equations. You get a cost of $1030 after 14 months
Therefore, after 14 months you will have paid the same amount for both gyms.
Answer:
x = 14 months, $1030
Step-by-step explanation:
The expressions are,
→ 70x + 50
→ 60x + 190
Forming the equation,
→ 70x + 50 = 60x + 190
Now required value of x will be,
→ 70x + 50 = 60x + 190
→ 70x - 60x = 190 - 50
→ 10x = 140
→ x = 140/10
→ [ x = 14 months]
The amount of money will be,
→ 70(14) + 50 = 60(14) + 190
→ 980 + 50 = 840 + 190
→ $1030 = $1030
Hence, it will take 14 months.
1,200. / 500 =
2
2.4
2.400
Answers
Answer:
It's 2 on edge 2020
Step-by-step explanation:
Answer:
A) 2
Step-by-step explanation:
edge 2023
I multiplied a number by itself and got 324. What was the
number?
Answers
Answer:
18
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
18 times 18 equals 324 and the number 18 is being multiplied by itself
please help !!
12x + 14 = 6x + 7 (+) 9x - 5 find the value of x
Answers
Answer:
x=4
Step-by-step explanation:
pls help
A coffee shop needs to purchase custom cups. Company C charges a flat fee of $155 plus $15 per cup. Company D does not have a flat fee but charges $30 per cup.
What is the minimum number of cups that must be ordered for company C to be a better deal than company D?
Answers
Answer:
i think it would be 11 cups
Explain why each of the following integrals is improper. (a) 4 x x − 3 dx 3 Since the integral has an infinite interval of integration, it is a Type 1 improper integral. Since the integral has an infinite discontinuity, it is a Type 2 improper integral. The integral is a proper integral. (b) [infinity] 1 1 + x3 dx 0 Since the integral has an infinite interval of integration, it is a Type 1 improper integral. Since the integral has an infinite discontinuity, it is a Type 2 improper integral. The integral is a proper integral. (c) [infinity] x2e−x2 dx −[infinity] Since the integral has an infinite interval of integration, it is a Type 1 improper integral. Since the integral has an infinite discontinuity, it is a Type 2 improper integral. The integral is a proper integral. (d) π/4 cot(x) dx 0 Since the integral has an infinite interval of integration, it is a Type 1 improper integral. Since the integral has an infinite discontinuity, it is a Type 2 improper integral. The integral is a proper integral.
Answers
Answer:
a
Since the integral has an infinite discontinuity, it is a Type 2 improper integral
b
Since the integral has an infinite interval of integration, it is a Type 1 improper integral
c
Since the integral has an infinite interval of integration, it is a Type 1 improper integral
d
Since the integral has an infinite discontinuity, it is a Type 2 improper integral
Step-by-step explanation:
Considering a
[tex]\int\limits^4_3 {\frac{x}{x- 3} } \, dx[/tex]
Looking at this we that at x = 3 this integral will be infinitely discontinuous
Considering b
[tex]\int\limits^{\infty}_0 {\frac{1}{1 + x^3} } \, dx[/tex]
Looking at this integral we see that the interval is between [tex]0 \ and \ \infty[/tex] which means that the integral has an infinite interval of integration , hence it is a Type 1 improper integral
Considering c
[tex]\int\limits^{\infty}_{- \infty} {x^2 e^{-x^2}} \, dx[/tex]
Looking at this integral we see that the interval is between [tex]-\infty \ and \ \infty[/tex] which means that the integral has an infinite interval of integration , hence it is a Type 1 improper integral
Considering d
[tex]\int\limits^{\frac{\pi}{4} }_0 {cot (x)} \, dx[/tex]
Looking at the integral we see that at x = 0 cot (0) will be infinity hence the integral has an infinite discontinuity , so it is a Type 2 improper integral
The total amount of money that he had deposited into his account at the end of March is .
Answers
What is the solition of 8 +a = 13?
Answers
Answer:5
Step-by-step explanation:
Answer:
a=5
Step-by-step explanation:
1. Subtract 8 from 13 to isolate the variable
a=5
PLEASE HELP ITS DUE TODAYYY
Answers
Answer:
(-3,10) (0,5) (3,0) (6,-5)
Step-by-step explanation:
x intercept = 3
y intercept =5
If brainiest is earned its greatly appreciated
A rectangular garden is fenced on all sides with 278 feet of fencing. The garden is 9 feet longer than it is
wide. Find the length and width of the garden.
Answers
Add 38 and 29, then multiply by 2.
Answers
Answer:
134
Step-by-step explanation:
Select the correct answer from each drop-down menu. Identify the investment type and complete the description. _____offer corporations a loan. Investors tend to choose this investment type because it offers______ and _____
1.a bonds 1.b real estate investment 1.c saving account 1.c stocks
2.a risk 2.b safety
3.a dividends base on company profits 3.b income based on an interest rate
Answers
Answer: bonds/safety/income based on an interest rate
Step-by-step explanation:
:)
Amy earns $12.50 per hour at her work. She uses the equation shown to calculate the number of hours, she worked last week
12.5h = 312.5 how many hours did Amy work last week?
Answers
Answer:
25
I hope this helps.
Answer:
Amy worked 25 hours
Step-by-step explanation:
To first start off we have the equation 12.5h= 312.5
from here, we divide by 12.5 to have h by itself inorder to find how many hours she worked as h stands for hours.
Once you divide 312.5 by 12.5 you get h=25
Once again, the h stands for hours, so this means that Amy worked 25 hours, and that for one hour she earned 12.5 dollars.
If you want to find how much money she made for example in 5 hours, all you have to do is plug in the 5 for h and multiply it by 12.50 to get how much she earned in that certain amount of hours!
Hope this helps! If you have any questions, feel free to ask! :)
What is 7.103 × 105 in standard notation?
Answers
Answer:
710300 is your answer if im not mistaken
solve for brainliest A keem measured the capacity of a glass as
2 7 0 mL and the capacity of a Th e rm o s® a s
1 L. He said that the ratio 270 :1 compare s
the capacity of the glass with the cap a c i t y
of the Th e rm o s®. Is his reasoning corre c t ?
E x p l a i n .
Answers
Answer:
[tex]his \: reasoning \: is \: correct.[/tex]
Step-by-step explanation:
[tex]since \: the \: ratio \: of \: the \: glass \: to \:that \\ \: of \: the \: thermos \: is \: in \: the \: fraction : \\ \frac{2 7 0 mL }{1mL} \: which \: is \:270 mL : 1mL \\ then \: the \: keem \: is \: right.[/tex]
quarter note + whole note + quarter note
Answers
Answer:
1 1/2 notes
Step-by-step explanation:
Solve.
(12b^2 - 5)(4b^2 + 4)
Answers
Use FOIL