Michael started a savings account with $300. After 4 weeks, he had $350 dollars and after 9 weeks, he had
$412.50. What is the rate of change of money in his savings account per week?

Answers

Answer 1

Answer: 12.5

Step-by-step explanation:

He made 50 dollars in 4 weeks so divide that equally amongst each week you get 12.5

Answer 2

The rate of change of money in his savings account per week is 12.5

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

We have, After 4 weeks, he had $350 dollars and after 9 weeks, he had

$412.50.

So, We can consider it as (4, 350) and (9, 412.5)

So, the rate of change is

=(412.5-350)/ (9-4)

= 62.5

= 12.5

Hence, the rate of change is 12.5.

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ2


Related Questions

3. Emma purchased a bicycle at a garage sale for $56. She later sold the bicycle online for $85.What was the percent increase of the price of the bicycle?

Answers

Answer:

51.7857143% increase is the percent increase of the price of the bicycle.

Step-by-step Explanation on finding percent increase using this question:

Formula needed:

% increase = 100 x (final-initial)/ | initial |

1. % increase = 100 x (85-56)/56

2.% increase = 100 x 29/56

3. % increase = 100 x 0.517857143

4. % increase = 51.17857143 (final answer)

Round if told by directions to do so.

Carlita saw 5 times as many robins as she did cardinals while bird watching. She saw a total of 36 birds. How many more robins did she see than cardinals?

Answers

Answer: Calita saw 30 Robins and  6 Cardinals

Step-by-step explanation:

Step 1

  writing the mathemathecal expression  becomes

Let robins be represented as R

and Cardinals be represented as C

so our first equation becomes

R+C = 36----- eqn 1

but she saw 5times as many robins as cardinals, with a total of 36 birds making us have

Therefore R= 5C

 5C +C= 36------- eqn 2

STEP  2--- solving equation 2

5C+C = 36

6C= 36

C= 36/6=6

Puting the valueof C=6 in equation 1 becomes

R+C= 36

R+6=36

R=36-6= 30

R=30

Therefore Calita saw 30 Robins and  6 Cardinals

An object is dropped off a cliff and falls freely. It speeds up as it falls toward the ground.

The graph below shows the velocity in meters per second (m/s) of the object (denoted by the vertical axis) as a function of time in seconds (denoted by the horizontal axis). Note that the relationship is linear.



This relationship is given by the equation, v = gt. In this equation, g is the acceleration due to gravity, t is the number of seconds, and v is the velocity of the falling object. Note that g is a constant.

Find and interpret the meaning of the initial value and the rate of change in this context.

Answers

Answer:

The initial value is 0. That means that object’s initial velocity 0 m/s. The rate of change is 9.8. That means the acceleration due to gravity is 9.8 m/s 2.

Hope this helps :)

The price of Stock A 9 AM was $12.71. Since then, the price has been increasing at the rate of $0.05 each hourAt noon the price of Stock 8 was \$13.46 . To decrease at the rate of by $0.12each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?

Answers

Answer:

4.4 hours

Step-by-step explanation:

Let the number of hours be represented as h

The price of Stock A 9 AM was $12.71. Since then, the price has been increasing at the rate of $0.05 each hour

$12.71 + $0.05 × h

12.71 + 0.05h

At noon the price of Stock 8 was \$13.46 . To decrease at the rate of by $0.12each hour.

$13.46 + $0.12 × h

13.46 - 0.12h

If the two rates continue, in how many hours will the prices of the two stocks be the same?

12.71 + 0.05h = 13.46 - 0.12h

0.05h + 0.12h = 13.46 - 12.71

0.17h = 0.75

h = 0.75/0.17

h = 4.41176470588 hours

Approximately = 4.4 hours

The prices of the two stocks be the same in 4.4 hours

You earned a 75% on a science test. You answered 18 questions correctly. How many
questions were on the test?

Answers

Answer:

24 questions

Step-by-step explanation:

18/3=6. This is 25% of the questions

4*6=24. This is 100% of the questions

You earned 75% on a science test. There were 24 questions. 75% is 3/4, and multiply that by 6 to get 18 correct. Denominator is 24.

Can someone answer this problem

Answers

Answer:

-9

Step-by-step explanation:

[tex](f^-^1o g^-^1)(-13)\\f^-^1(g^-^1(-13))\\g^-^1(-13) = -7[/tex]

the inverse function is essentially where the inputs and outputs are swapped

[tex]f^-^1(-7) = -9[/tex]

A triangle has vertices at A(–2, 4), B(–2, 8), and C(6, 4). If A prime has coordinates of (–0.25, 0.5) after the triangle has been dilated with a center of dilation about the origin, which statements are true? Check all that apply.

Answers

Answer:

The scale factor is One-eighth

The coordinates of C prime are (0.75, 0.5).

The coordinates of B prime are (–0.25, 1).

Step-by-step explanation:

A triangle has vertices at A(–2, 4), B(–2, 8), and C(6, 4). If A prime has coordinates of (–0.25, 0.5) after the triangle has been dilated with a center of dilation about the origin, which statements are true? Check all that apply. The coordinates of C prime are (0.75, 0.5). The coordinates of C prime are (1.5, 1). The scale factor is One-eighth. The scale factor is 8. The scale factor is One-fourth. The scale factor is 4. The coordinates of B prime are (–0.25, 1). The coordinates of B prime are (–0.5, 2).

Solution:

Transformation is the movement of a point from its initial location to a new location. If an object is transformed then all its points are also transformed. Types of transformation are reflection, dilation, rotation and translation.

Dilation is the enlargement or reduction in size of an object. If a point X(x, y)  is dilated about the origin by a factor k, its new location is X'(kx, ky)

Triangle ABC with vertices at A(–2, 4), B(–2, 8), and C(6, 4) is dilated to give A'(-0.25, 0.5)

kA = A'

(-2k, 4k) = (-0.25, 0.5)

-2k = -0.25, hence k = 1/8

Therefore the scale factor is 1/8 (one- eight)

The new location of the vertices is B'(-0.25, 1), C'(0.75, 0.5)

Answer:

a, c, and g

Step-by-step explanation:

just took the test on edge. hope this helps :)))

What is the answer please need help

Answers

Answer: the answer would be 50°

Answer:

130

Step-by-step explanation:

so you take 35+95=130

then you take 180-130=50 to get the other angle in the triangle

then to get the missing angle you do 180-50=130

so that is the missing angle

Three consecutive odd integers are such that the sum of the smallest and the largest is 86. Find the value of the 2nd number.

Answers

Answer: The value of the second number is 43

Step-by-step explanation:

x+x+4=86

2x+4=86

2x=82

x=41

41+2=43

I hope you find this helpful :))

Choose the model that verifies the quotient
1
5
÷ 5.

An area model with 1 shaded part and 4 unshaded parts.
An area model with 5 shaded parts and 20 unshaded parts.
An area model with 5 separate shaded parts.
An area model with 5 shaded parts.

Answers

Answer:

An area model with 1 shaded part and 4 unshaded parts.

Step-by-step explanation:

15  ÷ 5 area model

     ____2_+__1___=3

5    |     10        5

Answer:

An area model with 5 shaded parts and 20 unshaded parts.

Step-by-step explanation:

alck helped me with this

A person rents a scooter that travels at a average speed of 12 km/hr hoping to reach a beach 20 km away . How much time will it take to reach the beach

Answers

Answer:

1.5

Step-by-step explanation:

Sabastian bought some apples. Brandon bought 12 apples. He bought 2 times as many as Sabastian. Write an equation and solve for the unknown number of apples Sbastian bought.

Answers

Answer:

Step-by-step explanation:

2X =12

x=6

sebastian tendia 6 manzanas

10 m = blank cm

answers
A 100
B 1,000
c 10
d 50​

Answers

Answer:

B. 1,000

There is 100 cm in 1 meter. So 10x100=1000 :)

4. During a book sale, Alex sold 1 book for 55.00,
2 books for $4.50 each, and 4 books for $2.50 each.
Dana sold 3 books for $1.50 each and 2 books for
$5.00 each. What was the most frequently occurring
sale price for these 12 books?
(A) $2.50
(B) $4.00
(C) $4.25
(D) $4.50
(E) $5.00

Answers

Answer: A.) 2.50

Step-by-step explanation:

4 books sold for $2.50, which is the most books for one set price.

Write a linear equation that is solved by both (-6,2) and (0,-4)

Answers

First, we need to determine the slope of the line. The slope can be found by using the formula:
m
=
y
2

y
1
x
2

x
1
Where
m
is the slope and (
x
1
,
y
1
) and (
x
2
,
y
2
) are the two points on the line.
Substituting the values from the points in the problem gives:
m
=
6

0
0


2
=
6

0
0
+
2
=
6
2
=
3
The point
(
0
,
6
)
is also the
y
intercept. Therefore we can use the slope-intercept formula to find an equation for the line. The slope-intercept form of a linear equation is:
y
=
m
x
+
b
Where
m
is the slope and
b
is the y-intercept value.
Substituting the slope we calculated and the y-intercept gives:
y
=
3
x
+
6

The linear equation that is solved by both (-6,2) and (0,-4) is y = -x - 4

Using the slope intercept formula for linear equation,

y = mx + b

where

m = slope

b = y-intercept

Therefore, lets find m

(-6,2) and (0,-4)

m = -4 - 2 / 0 - (-6) = -6 / 6 = - 1

Lets find b using (0,-4)

y = mx + b

-4 = -1(0) + b

b = -4

There the linear equation in slope intercept form will be as follows

y = -x - 4

read more: https://brainly.com/question/17545515?referrer=searchResults

What’s the perimeter. Need help immediately

Answers

Answer:

20x^2-12x-20

Step-by-step explanation:

3x^2-7x+2 +  3x^2-7x+2  +  7x^2+x-12 +  7x^2+x-12

simplify

20x^2-12x-20

A principal decides to survey the parents at her school to find out their opinion on
standardized testing. She calls randomly-chosen parents between 4:00 and 5:00 P.M.
every day for a week and collects data on their responses. Identify the population
and the sample. Give a reason why the sample could be biased.
Oa)
Population: All parents who respond to the survey
Sample: All parents with students at the school
Possible Bias: The parents who answered the phone may not be
representative of the whole population because younger parents are more
likely to answer the phone than older ones.
b)
Population: All parents with students at the school
Sample: All parents who respond to the survey
Possible Bias: Parents who are at home between 4:00 and 5:00 P.M. may not
be representative of the whole population.
Oc) Population: All parents with students at the school
Sample: All parents who respond to the survey
Possible Bias: Some parents do not like a particular teacher.
d)
Population: All parents who respond to the survey
Sample: All parents with students at the school
Possible Bias: Some of the people contacted did not answer every question

Answers

Answer: B

Population: All parents with students at the school

Sample: All parents who respond to the survey

Possible Bias: Parents who are at home between 4:00 and 5:00 P.M. may not be representative of the whole population.

PLS HELPPP!!! ITS' IMPORANTANT!
Below

Answers

Answer:

1st year value =45$ 2nd year value=45+2.80$=47.80$ 3rd year value=47.8+2.80$=50.60$ 4th year value=50.60+2.80=53.40$ 5th year value=53.40+2.80=56.20$ ater 5 years value of share becomes 56.20$ or share after 5 years= 45+4*2.80=45+11.20=56.20$

Hope i helped plz mark brainiest if you want

Which of the following is a zero for the function f(x) = (x + 3)(x − 7)(x + 5)?

Answers

Answer:

-3, 7, -5

Step-by-step explanation:

Because of the zero-product-property, we can set each of the groupings to 0, to get each of our 3 zeroes.

x+3=0, x=-3

x-7=0, x=7

x+5=0, x=-5

You are buying a pair of sneakers for $ 120. You have a coupon to save 45 %. How much will the sneakers cost ?

Answers

Answer:

$66

Step-by-step explanation:

→ Work out 45% as a multiplier

100 - 45 = 55 ⇒ 55 ÷ 100 = 0.55

→ Multiply the multiplier by the price

0.55 × 120 = $66

Answer:

54

Step-by-step explanation:

120 times 45 equals 5400 divided by 100 equals $54

There are 3 white tiles for ever 5 shaded tiles.There are 40 tiles all together.How many tiles are white?How many tiles are shaded?

Answers

Answer:

25 shaded tiles and 15 white tiles

Step-by-step explanation:

Added up these all make 40 tiles, making them the only answer. Hope this helps.

Mr. Diaz decreased the speed of his car by 40 miles per hour over a period of 10 seconds. Find the average change in speed each second

Answers

Answer: the answer is 3 mph/second

Step-by-step explanation:

At the end of March, a computer company
has a net worth of -$14,587. By the end of
December of the same year, the company's
net worth had increased
by
$28,465.
What was the company's net
worth at the end of December?

Answers

Answer:

$12,088 dollars

Consider each graph shown. Determine the slope of each line
and then use similar triangles to justify that the slope is the
same between any two points.

Answers

Answer:

18,1,18

Step-by-step explanation:

The slope of a line from the given graph is 4 units.

From the given graph, vertical line (rise) = 16 and horizontal line (run) = 4.

What is slope of a line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

Now, slope = Rise/Run

⇒ slope = 16/4

= 4 units

Therefore, the slope of a line from the given graph is 4 units.

To learn more about the slope of a line visit:

https://brainly.com/question/14511992.

#SPJ2

f (x)= x + 2
f (10) =

Answers

f (10) = 12

f (x) = x + 2

f (10) = 10 + 2

f (10) = 12

anyone knows this cuz i need help!?

Answers

Answer:

I think its D

Step-by-step explanation:

im not sure correct me if im wrong thanks

Answer:

C

Step-By-Step explanation:

Yes, the square root of 12 is irrational.

Hurry pls I need to fine the difference of the equation

Answers

Answer:

i think it is 12-4i

Step-by-step explanation:

since the negative multiples if everything in the second brackets if i remeber

so it is

5+7

and

8-12

Answer:

C: 12 - 4i

Step-by-step explanation:

when you subtract two phrases its the same as when you add two mathematical phrases by combining like terms except you distribute the - sign into the parenthesis so the signs flip.

hope this helps :))

A 40-degree angle is translated 5 inches along a vector. What is the angle measurement l, in degrees, of the image?

Answers

Answer:

20

Step-by-step explanation:

Never same bed rn he drum he’s gym next D

Ritus mother's age is 7 years more than two time Ritus age. Ritus mother is 37 years old. Set up an equation to find Ritus age (Take Ritus age to be 'x' years)

Answers

Answer:

2x + 7 = 37

Ritu's age = 15 years

Step-by-step explanation:

Given:

Ritu's mother age = 37

Find:

Ritu's age

Assume;

Ritu's age = x

So,

2x + 7 = 37

2x = 30

x = 15

Ritu's age = 15 years


The base area of a prism is 5 cm2. Find the height of the prism if its
volume is 24 cm. -

Answers

Answer:

4.8 cm

Step-by-step explanation:

What we know: V= 24 cm3 and b= 5 cm2

Formula: V= bh

24cm3= (5cm2)h

4.8 cm= h


The base area of a prism is 5 cm2. Find the height of the prism if its
volume is 24 cm. -
Other Questions
Meric Mining Inc. recently reported $17,500 of sales, $7,500 of operating costs other than depreciation, and $1,200 of depreciation. The company had no amortization charges, it had outstanding $6,500 of bonds that carry a 6.25% interest rate, and its federal-plus-state income tax rate was 25%. How much was the firm's net income after taxes Two ropes are tied to a 50 kg boat. One pulls with a force of 120 N due West and the other rope pulls with a force of 140 N due South. Find the net force of the boat (magnitude and direction) and the acceleration. Which are necessary to provide the energy needed for a plant to grow and develop? ALOT OF POINTS! Marking people as brainlist if correct You have 1 quarts of brown stock.You need 1 cups to make one serving of braised short ribs.How many servings can you make?(don't include partial portions)IAnswer: 5.35 2.2 Show your work please! SOLVE FOR X PLEASE10x+50+80=180 x +8=5x+2.Why cant you determine whether this equation is true or false who is the smartest person in the world Brandy drove four times as far as Tomas. Together, they drove 75 miles. Which equation below can be used to find the number of miles Tomas drove? yana read the following passage in a myth.Odysseus was alone, lost, and dose to despair. There was nothing on the horizon. Odysseus-the great and experienced warrior, hero of battles, and slayer of terrible monsters-could see nothing but small rolling waves.The vast ocean, in every direction, seemed to go on forever before finally meeting the horizon.which statement is true about this passage?The phrase "hero of battles, and slayer of great monsters suggests these are unwelcome characteristics in the myth-tellers' culture,The first sentence suggests the myth-tellers liked to be alone on the water.The passage suggests the myth-tellers typically lived with pets like dogs and birds.The fact that character Odysseus is in the ocean suggests that the myth-tellers may have lived near an ocean or sea, A company paid an annual dividend of $2.50 per share yesterday. The dividend is expected to remain constant for three years. At year three, after receiving the dividend, the stock can be sold for $47 a share. If the appropriate discount rate for the stock is 9.4 percent, what is the price of the stock today 13. 30 to 90A. 3%; increaseB. 67% increaseC. 200%: increaseD. 300%; increaseAnswer: 67% increase Evaluate the line integral, where C is the given curve. (x 6y) dx x2 dy, C C consists of line segments from (0, 0) to (6, 1) and from (6, 1) to (7, 0) A classroom of children has 17 boys and 19 girls in which five students are chosen to do presentations. In how many ways can the five students be chosen so that more boys than girls are selected What are some of the ways that Native Americans in Texas used trees and wood to make dwellings? Jack bought a scarf that costs 15 dollars and a hat that costs 22 dollars. At the counter, he received a discount. If he only paid 34 dollars total, how many dollars was the discount? Exxon-Mobil is planning to sell a number of producing oil wells. The wells are expected to produce 100,000 barrels of oil per year for 8 more years at a selling price of $28 per barrel for the next 2 years, increasing by $1 per barrel through year 8. How much should an independent refiner be willing to pay for the wells now, if the interest rate is 10% per year? What is something youd like to know about the general election or the Electoral College? There are 3 batteries in a series circuit, each containing 9V, and the total current is 1.5 A. Along the circuit is 4 resistors. The first is 3 ohms, the second is 6 ohms, the third is unknown, and the fourth is 5 ohms. What is the voltage drop across the unknown resistor