Eliza started her savings account with $100. Each month she deposits $25 into her account. Determine the average rate of change in Eliza's account from the 2nd month to the 10th month. Show all work for full credit.

Answers

Answer 1

Answer:

25

Step-by-step explanation:

First, lets create a equation for our situation. Let x be the months. We know four our problem that Eliza started her savings account with $100, and each month she deposits $25 into her account. We can use that information to create a model as follows:

25x+100

We want to find the average value of that function from the 2nd month to the 10th month, so its average value in the interval [2,10].

We can conclude that the average rate of change in Eliza's account from the 2nd month to the 10th month is $25.

The work is below in a png.

Eliza Started Her Savings Account With $100. Each Month She Deposits $25 Into Her Account. Determine
Answer 2

Answer:Answer:

25

Step-by-step explanation:

First, lets create a equation for our situation. Let x be the months. We know four our problem that Eliza started her savings account with $100, and each month she deposits $25 into her account. We can use that information to create a model as follows:

25x+100

We want to find the average value of that function from the 2nd month to the 10th month, so its average value in the interval [2,10].

We can conclude that the average rate of change in Eliza's account from the 2nd month to the 10th month is $25.

The work is below in a png.

Step-by-step explanation:


Related Questions

HELPP PLZZZ I put a picture ​

Answers

Answer:

The first one

Step-by-step explanation:

Dont have time to explain sry

Arturo can walk 4 miles in 1 hour. How many miles can he walk 3 hours?

Answers

Answer:

12

Step-by-step explanation:

jin purchased 7 tacos for 18.55 how much will he pay for 15 tacos

Answers

You’d be paying $39.75 for 15 tacos

Answer:

Step-by-step explanation:

if Jin bought:

7 tacos.............................18.55

15 tacos.............................?

for 15 tacos he will pay

(15*18.55)/7=39.75

Pls help it’s easy and worth 10 pls.

Answers

Answer:

8,000

Step-by-step explanation:

i think because 100000/12

Mrs. Carroll purchases new materials for her math classroom. New workbooks cost $7.00 each, and new dry erase boards cost $5.00 each. She had a budget of $50.00. Write an inequality to represent the situation. Let w represent the number of workbooks and let d represent the number of dry erase boards.

Answers

Answer:

[tex]7w+5d\leq 50[/tex]

Step-by-step explanation

Let w represent  the number  of workbooks

Let d represent the number of dry erase boards

Then , we can create the inequality for this situation

[tex]7w+5d\leq 50[/tex]

PLEASE HELPPPP I WILL MARK YOU AS BRAINLIEST!!!!!!

The expression 12 dollars times t can be used to find the total cost for t tickets to the movie theater. What is the total cost of 5 tickets?

Answers

Answer:

$60

Step-by-step explanation:

$12t = total costt = 5$12*5 = $60

Answer:

$60

Step-by-step explanation:

This is the answer because:

1) $12t = total cost

2) t = tickets, 5 = tickets

3) $12 x 5 = $60

Therefore, the answer is $60.

Hope this helps! :D

Can you please tell me asp

Answers

Answer:

i think 8

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Look at the graph, its a pattern. The number of weeks is Times 2 every time, therefore 10 *2 is 20, and the number of players are getting close

What is the percent of change from 100 to 14

Answers

Answer:

there is an 86% change

I just need the answers to these two questions.Thanks

Answers

Answer:

4. a. y = 2x

b. she will need 12 packs of cashews to 24 cans of peanuts to make the mix.

5. a. YES

b. y = 2.5x

c. $30

d. 24 pounds

e. See attachment

Step-by-step explanation:

4.a. packages of cashews = x

Cans of peanuts = y

The equation that represents the relationship between x and y can be expressed in slope-intercept form as y = mx

Slope = m,

Finding slope (m) using two pairs (1, 2) and (2, 4):

Slope = ∆y/∆x = (4 - 2)/(2 - 1) = ²/1 = 2

m = 2.

To write the equation, substitute m = 2 into y = mx

The equation would be:

y = 2x

b. The ordered pair (12, 24) in the context of the problem means she will need 12 packs of cashews to 24 cans of peanuts to make the mix.

5. a. The cost of candy is proportional to the amount of candy because: 5/2 = 7.5/3 = 12.5/5 = 2.5 = constant of proportionality/unit rate

b. An equation can be written to show the proportional relationship in the form of y = mx.

Where, m = constant of proportionality/unit rate

x = amount of candy

y = cost on dollars

Thus, substitute m = 2.5 into y = mx

The equation would be:

y = 2.5x

c. To find how much it would cost (y) for 12 pounds of candy (x), substitute x = 12 into y = 2.5x to find y.

Thus:

y = 2.5(12) = 30

It would cost $30 for 12 pounds of candy

d. To find the maximum amount of candy (x) you can buy with $60 (y), substitute y = 60 into y = 2.5x

Thus:

60 = 2.5x

Divide both sides by 2.5

60/2.5 = 2.5x/2.5

24 = x

x = 24

Maximum amount of candy you can buy with $60 is 24 pounds of candy.

e. See attachment

In a class of 100 half the students are science majors and half are liberal art majors. A student who is a science major has a 0:9 probability of passing a given test whilst a student who is liberal art major has only a probability of 0:7. We pick 2 students at random without replacement and give them the test. What is the probability that both students pass the exam

Answers

Answer:

P(both students passed the exam) = 0.61948

Step-by-step explanation:

From the given information:

P(both students passed the exam) = P(both are science students or both are art major students or one is from each group)

= P (both are science students) + P(both are art students) + P(one from each group)

where;

P (both are science students) = (50/100) (0.9) × (44/99) × (0.9) = 0.18

P(both students are art) = (50/100) (0.7) × (49/99) 0.7 = 0.1213

P(one of the student are from each group) = (50/100) (0.9) ×(50/99) (0.7) + (50/100) (0.7)× (50/99)(0.9) =0.3182

P(both students passed the exam) = 0.18 + 0.1213 + 0.3182

P(both students passed the exam) = 0.61948

The volleyball team is selling snack bags to raise money for new uniforms. The table shows the percent of the total bags sold for each type of snack bag.



Snack Percent
Cheese Puffs 10
Corn Chips 15
Popcorn 25
Potato Chips 30
Pretzels 20


If they sold 210 bags of pretzels and cheese puffs, how many snack bags did they sell in all?

Answers

Pretzels and cheese puffs make up 30% of the sales which means 210 is 30% of the total bags they sold. You could set up a ratio like this where 1 represents 100%:

210/.30 = x/1

If solved out, you find there are 700 bags total and you can check it by finding that 210 is 30% of 700.

The volleyball team is selling 700 snack bags to raise money.

What is Ratio?

A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other

What are Arithmetic operations?

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

Sales of pretzels and cheese puffs represent 30% of overall sales, which means that 210 bags were sold.

This ratio could be established,

⇒ 210/30% = x/100%

⇒ x = (210)100%/30%

⇒ x = 70×10

⇒ x = 700

Thus we could evaluate that there are 700 bags in total.

Therefore, the volleyball team is selling 700 snack bags to raise money.

Learn more about the Ratio here:

brainly.com/question/1504221

#SPJ2

If sin Q= 4/5, cos P + cos Q = ____

Answers

We know that ,

[tex] \sin( \alpha ) = \frac{opposite}{hypotenuse} [/tex]

and

[tex] \cos( \alpha ) = \frac{adjacent}{hypotenuse} [/tex]

where 'alpha' is an angle of triangle ; 'opposite' denotes the side opposite to alpha & 'adjacent' refers to the side next to the angle (but not hypotenuse)

Similarly ,

[tex] \sin(q) = \frac{opposite}{hypotenuse} = \frac{4}{5} [/tex]

Let the length of the opposite side be 4x and the length of hypotenuse be 5x. By using Pythagorean Theorem , we can find the length of base.

[tex] {base}^{2} + {(4x)}^{2} = {(5x)}^{2} [/tex]

[tex] = > {base}^{2} = 25 {x}^{2} - 16 {x}^{2} = 9 {x}^{2} [/tex]

[tex] = > base = \sqrt{9 {x}^{2} } = 3x[/tex]

Now , we have got the length of all the sides of the triangle. So,

[tex] \cos(q) = \frac{adjacent}{hypotenuse} = \frac{3x}{5x} = \frac{3}{5} [/tex]

and

[tex] \cos(p) = \frac{adjacent}{hypotenuse} = \frac{4x}{5x} = \frac{4}{5} [/tex]

So,

[tex] \cos(p) + \cos(q) = \frac{4}{5} + \frac{3}{5} = \frac{7}{5} [/tex]

Bill is playing a board game that has a spinner divided into equal sections numbered 1 to 20.

The probability of the spinner landing on an even number or a multiple of 5 is?



Select one:
a. 12/20
b. 3/5
c. 7/15
d. 1/5

Answers

I’m pretty sure it is d

which of the following explains how triangle BEI could be proven similar to triangle CEH using the AA similarity postulate?

Answers

Answer:

∠BEI ≅ ∠CEH because vertical angles are congruent; rotate ΔCEH 180° around point E, then translate point C to point B to confirm∠IBE ≅ HCE.

i got it right on the test

Step-by-step explanation:

Answer:

∠BEI ≅ ∠CEH because vertical angles are congruent; rotate ΔCEH 180° around point E, then translate point C to point B to confirm∠IBE ≅ HCE.

Step-by-step explanation:

i took the test!

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