Pllzzz help me with this!!!!

From the exponential function, the average rate of change from year 1 to year 4 is 62.43, the average rate of change from year 5 to year 8 is 67.57 and the rate of change per year is 65

An exponential function is a type of function that involves a variable in an exponent. It is of the form f(x) = a⋅b^x where a and b are constants and b > 0, b ≠ 1. The input to the function, x, is the exponent that the base, b, is raised to. The output, f(x), is the result of raising the base to the exponent.

In this problem, we have to calculate the rate of increase per year.

Data;

rate = 2%

P = 3000

The exponential growth can be calculated by;

A = P(1 + r)ⁿ

In year 1

A = 3000(1 + 0.02)¹

A = 3060

In year 4

A = 3000(1 + 0.02)⁴

A = 3247.3

a)

The average rate of change from year 1 to year 4 will be

A = [3000(1 + 0.02)⁴ - 3000(1 + 0.02)¹] / 4 - 1

A = 62.43

The average rate of change from year 1 to year 4 is 62.43

b)

The average rate of change from year 5 to year 8 is calculated as

A = [3000(1 + 0.02)⁸ - 3000(1 + 0.02)⁵] / 8 - 5

A = 67.57

C)

The rate of change increase can be calculated as;

A = [3000(1 + 0.02)⁸ - 3000(1 + 0.02)¹] / 8 - 1

A =65

Learn more on exponential function here;

https://brainly.com/question/2456547

#SPJ1

Answer:

I don't know what the options are so I'm just gonna list a few and if they aren't on there lmk the options you have to choose from

Step-by-step explanation:

5/6, 15/18, 20/24, 25/30, 30/36, 35/42, 40/48, 45/54, 50/60, 55/66, 60/72, 65/78, 70/84, 75/90, 80/96, 85/102, 90/108, 95/114, 100/120

Answer:

5/6

Step-by-step explanation:

the equivalent fraction of 10/12 is 5/6 because both the numerator and the denominator are divisible by 2.

Answer:

y=1/2x+4

Step-by-step explanation:

m = y2-y1/x2-x1 = 5-1/2-(-6) = 4/8 = 1/2

since you have the slope, graph the points and find the y-intercept.

y=1/2x+4

The solution for y in the equation √(7 - x)² + (9 - y)² is infinite many solutions

From the question, we have the following parameters that can be used in our computation:

√(7-x)²+(9-y)²

Express tthe equation properly

So, we have the following representation

√(7 - x)² + (9 - y)²

The above is an expression, not an equation

This means that the value of the variable y can take any value and the equation will be true

In other words, it means that the variable y has infinite many solutions because it is not an equation but it is an expression

Read more about expression at

https://brainly.com/question/15775046

#SPJ1

Answer:   The total answers count 37 - it's 100%, so we to get a 1% value, divide 37 by 100 to get 0.37. Next- calculate the percentage of 31: divide 31 by 1% value (0.37), and you get 83.78% - it's your percentage grade.

The equation of the regression line is given as ŷ = -0.5755X + 4.743

First we have to find the logarithm of the y variables.

Logarithms of y-values:

log 4101 = 3.613

log 1029 = 3.012

log 261 = 2.417

log 69 = 1.839

log 21 = 1.322

We have to plot the ordered pairs to be in order of the table using the log y parameters.

Using a regression analysis calculator online, the equation of the regression line is ŷ = -0.5755X + 4.743.

The graph and the online calculator is contained in the image attached.

Read more on regression equations here:

https://brainly.com/question/25987747

#SPJ1

a) The after-tax cost of the vehicle Rachel is buying is $29,368.70.

b) The part of the after-tax cost that Rachel will finance after making the down payment is $25,118.70.

c) The total payments after 5 years are $30,659.60.

d) The total interest Rachel paid is $1,290.90.

The interest payment represents the difference between the total monthly payments and the financing part of the after-tax cost of the vehicle.

The total monthly payments ($26,409.60) are obtained by multiplying the monthly payments ($440.16) by the number of payment periods (60).

Value of vehicle = $25,990

Harmonized sales tax (HST) = 13%

After-tax cost of the vehicle = $29,368.70 ($25,990 x 1.13)

Down payment = $4,250

Financing part = $25,118.70 ($29,368.70 - $4,250)

Monthly payments = $440.16

Financing period = 60 months (5 years x 12)

Total monthly payments = $26,409.60 ($440.16 x 60)

The total amount paid for the car = $30,659.60 ($26,409.60 + $4,250)

Total interest = $1,290.90 ($26,409.60 - $25,118.70)

Learn more about financing, down payments, and interests at https://brainly.com/question/29064552

#SPJ1

Step-by-step explanation: the awnser is 70 because 69 and 71 is in the outside of 70 therefore it's 70 there u go

Answer:

B.

Why?

Step-by-step explanation:

"Jessica's teacher asked her to create a "histogram" representing students and cell phone use."

the hint histogram means the history or record of

HOPE IT HELPS

(FROM CROSS)

Answer:

There are 25 possible schedules.

Step-by-step explanation:

The order in which they play soccer is not important(Monday and Tuesday is the same as Tuesday and Monday), and thus the combinations formula is used to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Monday but not Tuesday:

Monday(1) and 2 out of the remaining 7 - 2 = 5. So

[tex]C_{5,2} = \frac{5!}{2!3!} = 10[/tex]

Tuesday but not Monday:

Tuesday(1) and 2 out of the remaining 7 - 2 = 5. So

[tex]C_{5,2} = \frac{5!}{2!3!} = 10[/tex]

Monday and Tuesday:

Monday and Tuesday(1), plus one out of the remaing 5 days. So

[tex]C_{5,1} = \frac{5!}{1!4!} = 5[/tex]

Total:

10 + 10 + 5 = 25

There are 25 possible schedules.

Answer:

0.0462 ± 2.131(0.01565)

Step-by-step explanation:

The confidence interval for the slope, :

Slope Coefficient = 0.0462

Slope Coefficient ± Margin of error

Margin of Error = Tcritical * standard error

Standard Error (rotation) = 0.01565

We use T distribution, because sample size is small ; n = 16

Tcritical at 95% ; df = n - 1 = 16 - 1 = 15

Tcritical(0.05, 15) = 2.131

Hence,

Margin of Error = 2.131(0.01565)

Slope Coefficient for rotation = 0.0462

95% Confidence interval :

0.0462 ± 2.131(0.01565)

The 95% confidence interval for the slope of the regression line is 0.0462 ± 0.0333 or (0.01284, 0.07955)

The probability or the chances of error while choosing or calculating a sample in a survey is called the margin of error.

Slope coefficient = 0.0462

Slope coefficient ± Margin of error

The margin of error will be given as

[tex]\rm Margin \ of \ error = T_{critical} \times standard \ error[/tex]

Standard error = 0.01565

We use T distribution because the sample size is small

[tex]\rm n = 16 \\\\T_{critical} \ at \ 95\% \ ; df = n-1 = 16- 1 = 15\\\\T_{critical} \ (0.05, 15) = 2.131[/tex]

Then we have

Margin of error = 2.131 × 0.01565

Margin of error = 0.0333

Then the 95% confidence interval will be

0.0462 ± 0.0333

More about the margin of error link is given below.

https://brainly.com/question/6979326

HOPE IT WILL HELP YOU

====================================

====================================

15

PLEASE LOOK AT THE ATTACHMENT

====================================

====================================

Answer: Angle-Side-Angle Theorem

Step-by-step explanation:

The two triangles are shown to have congruent angles. By the Reflexive Property of Congruence, Side PM is shared and congruent between the two.

Because the angles are on either side (left and right) of the shared side, the triangles are congruent by the Angle-Side-Angle Theorem.

Answer:12

Step-by-step explanation: multiply the second fraction by 3 on the top and bottom to equalize the tow fractions denominators

The cost of the computer if the sales tax is 6% is  924.96 dollars.

You bought a new laptop and paid an initial payment of $150. You will make 12 payments of $69.50.

The amount the computer cost if the your state charge 6% sales tax can be calculated as follows;

Install mental payment = 12 × 69.50

Install mental payment = 834 dollars

You already made payment of 150 dollars.

Therefore,

total payment including sale tax = 150 + 834

total payment including sale tax = 984 dollars

Sales tax = 6% of 984

Sales tax =  6 / 100 × 984

Sales tax = 5904 / 100

Sales tax = 59.04 dollars

Therefore,

cost of the computer = 984 - 59.04

cost of the computer = 924.96 dollars

learn more on sales tax here: https://brainly.com/question/26548960

#SPJ1

The values that are solutions to the inequality -3 < 2x -3 are all real numbers greater than 0.

Given the inequality in the question;

-3 < 2x -3

Solve for x, by making it the subject of the formula.

Subtract 2x from both sides

-3 < 2x -3

-3 - 2x < -3

Add 3 to both sides

-3 + 3 - 2x < -3 + 3

-2x < -3 + 3

-2x < -3 + 3

-2x < 0

Next, divide both sides by -2

-2x/-2 >  0/2

x > 0/2

x > 0

Therefore, the solution to the inequality is x > 0.

Learn more about inequalities here: https://brainly.com/question/20383699

#SPJ1

The graph representing the given pairs is represented by the equation y = (4/5)x + 40.

        {m} - slope                 {c} - intercept along the y - axis.

Given is that Mr. Hart recorded the ratio of the minutes spent driving to the miles driven while on a road trip.

The given table is as follows -

Number of Minutes {m} :      75         60

Number of Miles {M} :          100        80

The slope of this graph will be -

m = (80 - 60)/(100 - 75)

m = 20/25

m = 4/5

The equation of the line can be written as -

y = (4/5)x + c

For the point (75, 100) as follows -

100 = 4/5 x 75 + c

100 = 4 x 15 + c

c = 100 - 60

c = 40

The equation of the graph will be -

y = (4/5)x + 40

Refer to the graph attached.

Therefore, the graph representing the given pairs is represented by the equation y = (4/5)x + 40.

To solve more questions on expressing evaluation, visit the link below -

brainly.com/question/1041084

#SPJ1

As a result, after studying the diagram below of triangle and considering the reasons that follow, the appropriate answers are 1, 2, 3, and 4.

Any three points in a plane can be connected to create triangles, which are polygonal (shapes) with three sides and three angles. They are among the first shapes in geometry that are explored. Since each polygon (with 4, 5, 6, or n sides) may be divided into triangles, triangles are particularly significant.

Here,

A segment bisector in this case is 1)OP.

Since segment LKMN is not divided into two equal sections, NO OP is not a segment bisector.

A perpendicular bisector is

2)OP.

NO,Because a perpendicular bisector creates an angle to the normal and divides a segment into two equal halves, OP is not a perpendicular bisector.

The angle bisector NO is OP.

Due to the fact that OP they do not divide any angles into two equal pieces.

4) The diagram's vertex of a pair of congruent angles is O.

YES Since O lines connect two angles with the same degree ()

5)O is the right angle's vertex.

NO

As a result of things not being at a straight angle.

6) A segment's midway in the diagram

By drawing diagonals across the four vertices LMNK, it is possible to determine where this segment's midpoint lies.

To know more about triangle, visit

https://brainly.com/question/2773823

#SPJ1

Answer:

West Elm Savings and Loan

a) The amount of the down payment is:

= $34,000

b) The amount of the mortgage for which the Bradys are applying is:

= $170,000.

c) The amount of the principal of $136,000 ($170,000 - $34,000) and the interest portion of the monthly payment by the Brady's is:

= $730.32

d. The total amount of interest that will be paid over the life of the loan is:

= $126,915.20

e) Total monthly payment = $994.32

f) No, they will not qualify.

g) The monthly income that would be required to qualify for this size of mortgage payment is:

= $3,977.28

Step-by-step explanation:

a) Data and Calculations:

Market value of mortgage house = $170,000

Required down payment = 1/5 or 20%

a) The amount of the down payment = $34,000 ($170,000 * 20%)

b) The amount of the mortgage for which the Bradys are applying is = $170,000.

c) Interest on the loan = $5.37 for every $1,000

The amount of the principal of $136,000 ($170,000 - $34,000) and interest portion of the monthly payment by the Brady's = $730.32 ($5.37 * $136,000/$1,000)

d. The total amount of interest that will be paid over the life of the loan is:

= $126,915.20 ($262,915.20 - $136,000)

Sum of all periodic payments = $262,915.20 = ($730.32 * 12 * 30)

e) Annual Property tax =         $1,710

Annual Property insurance     1,458

Total additional annual pyts $3,168

Monthly additional costs = $264 ($3,168/12)

Total monthly payment = $994.32 ($730.32 + $264)

f) Bradys' combined monthly income = $3,750

Qualification threshold = $937.50 ($3,750/4)

No, they will not qualify.

g) The monthly income that would be required to qualify for this size of mortgage payment is:

= $3,977.28 ($994.32/0.25)

The correct answers are given below, based on the available information given.

The amount (in $) of the down payment is:

The amount of the mortgage for which the Bradys are applying is:

The amount of the principal of $136,000 ($170,000 - $34,000) and the interest portion of the monthly payment by the Brady's is:

The total amount of interest that will be paid over the life of the loan is:

The total monthly payment

No, they will not qualify.

The monthly income that would be required to qualify for this size of mortgage payment is:

Read more about interest rates here:

https://brainly.com/question/26011426

Write a letter to your friend describing your hobbies. (80 words)A2/32, Chengal Nagar

Tambaram

Chennai – 600023

May 5, 2021

Dearest Malu,

I hope this letter finds you in the best of health. I received your letter the other day asking how I am spending my leisure time these days.

I have developed many hobbies over the years but collecting stamps and embroidery have been my favourite so far. Stamp collection is something I started as a kid. I had just taken a few pages off my notebook and made it my stamp book. I get so excited every time I see the postman. I wait to see what kind of stamp I will get. Knowing that I have a liking for collection of stamps, my cousins have been sending it across to me every time they find a different stamp. I can’t wait to show you my collection.

Embroidery is another hobby I picked up recently. I always liked embroidered clothes. I just started trying out different stitching patterns. Slowly, I learned almost everything, and now I am selling embroidered frames and dresses. It is so fulfilling to see a piece of work come out so well. I am sending you a gift along with this letter, something I made, as your birthday is fast approaching.

Hope to meet you soon.

Your dearest friend,

Renitaالسلام عليكماخوي عارض شريطPandemic

Answer:

C shifted 8 units down

Step-by-step explanation:

The slope (part with x) lets us know its negative, the second number lets us know the y intercept.

SO since the original has no second number the y intercept is 0 but since the new equation is -8 it means its 8 units lower than 0 hence -8

The distance that the minute hand moves in 50 minutes, given that it started at 7 minutes, is 258 degrees.

A rotatation around the clock by the minute hand, is a full 360 degrees as it begins at 12 and ends at 12 .

If a minute hand is at 7 minutes, then it means that the degrees moved is:

= 7 / 60  x 360

= 42 degrees

At 50 minutes, the degrees moved is :

= 50 / 60 x 360

= 300 degrees

Seeing as the minute hand started at 7 minutes, the distance moved is :

= 300 - 42

= 258 degrees

Find out more on minute hand at https://brainly.com/question/17106527

#SPJ1

The amount that Roxanne should deposit at the beginning of each 3 months to accumulate $134,000 at 4% compounded quarterly for three years is $10,461.13.

The quarterly deposit can be computed using an online finance calculator with the following parameters.

The quarterly deposit shows the periodic investment that must be made to accumulate a future value of $134,000.

N (# of periods) = 12 quarters (3 x 4)

I/Y (Interest per year) = 4%

PV (Present Value) = $0

FV (Future Value) = $134,000

Results:

PMT (periodic deposits) = $10,461.13

Sum of all periodic deposits = $125,533.56

Total Interest = $8,466.44

Learn more about periodic deposits at https://brainly.com/question/29003232

#SPJ1

Answer:

NO

the final amount is 98.21 which is less than 120

Step-by-step explanation:

Price after discount = $120 x (100 - 25%)

$120 x 0.75 = $90

tax = $90 x 0.09125 = $8,21

final amount = $90 + 8.21 =  98.21

The least amount of money that was originally put in the savings account is $426.

The amount of money in the savings account is a function of the money that was originally in the account and the amount by which the account was increased by.

The inequality that represents the total amount of money in the savings account is:

amount originally in the account + amount deposited > 500

x + $75 > $500

x > $500 - $75

x > $425

The least amount would be $426 because this is the smallest number that is greater than $425 that would make the total amount more than $500.

To check:

$75 + $426 = $501

To learn more about savings, please check: https://brainly.com/question/28727268

#SPJ1