-4(x+7)+7x+2
combine like terms

The balance in Kia’s account after 2 years is $2,977.54

The balance in Kia’s account after 3 years is $3,156.19

What is future value of the deposit?

The future value of the deposit, is the equivalent future worth of the deposit after having earned interest over the 2-year and 3-year periods using the future value formula of a single cash flow as shown below:

FV=PV*(1+r)^N

FV=balance after 2 and 3 years

PV=initial deposit=$2,650

r=interest rate=6%

N=number of years 2 and 3 years respectively

FV(2 years)=$2,650*(1+6%)^2

FV(2 years)=$2,977.54

FV(3 years)=$2,650*(1+6%)^3

FV(3 years)=$3,156.19

Find out more about future value on:https://brainly.com/question/14394797

#SPJ1

Lets start with the basics. 12,765 books are in total. We need to take 398 from that. 12765 - 398 = 12367. That means x people returned the book to reach 12,479. 12,479 - 12367 = x. X = 112.

112

hi

As rental charges is contant and then price vary with time of location, then it's answer  C

25 + 5x = 30 + 2x

Answer:

$9.9

Step-by-step explanation:

4 = $2.64

15= ?

15 × $2.64 = 39.6

39.6 ÷ 4 = $9.9

Work Shown:

n = number of sides

c = central angle

c = 360/n

c = 360/10

c = 36

This formula applies to regular polygons only (all sides must be the same length; all angles must be the same).

Answer:

B.

Fran's account balance > Zach's account balance

Step-by-step explanation:

The assumptions for a chi square test for homogeneity are

In statistics, the chi square test is used to determine where there exists a relationship or association between two variables

Amongst other assumptions, the variables are assumed to be categorical variables.

This means that variables can be used as labels

The other assumptions are:

Read more about chi square test at

https://brainly.com/question/4543358

#SPJ1

f (7) =  -65 is the output for the given input .

How can you tell whether a function is linear or not?

f(x)= -9 x-2

Put x = 7    ⇒   - 9  * 7  - 2

                ⇒   -63 - 2

                ⇒   -65

Therefore f (7) =  -65

Learn more about linear function

brainly.com/question/14695009

#SPJ4

The complete question is -

Evaluate each function for the given value of x , and write the input x and output f(x) as an ordered pair.

f(x)=-9 x-2 for x= 7

Answer/Step-by-step explanation:

5.)

Square = 2

Triangle = 3

Circle = 3

Star = 4

2(circle) + 2(triangle) = 12

12 ÷ 4 = 3

2(3) + 2(3) = 12

2(triangle) + 2(square) = 10

2(3) + 2(square) = 10

6 + 2(square) = 10

-6                      -6

2(square) = 4

÷2              ÷2

Square = 2

(circle) + (star) + 2(square) = 11

(3) + (star) + 2(2) = 11

3 + (star) + 4 = 11

7 + (star) = 11

-7               -7

Star = 4

6.)

Circle = 3

Star = 5

Triangle = 4

4(star) = 20

÷4          ÷4

(star) = 5

(star) + 3(circle) = 14

5 + 3(circle) = 14

-5                    -5

3(circle) = 9

÷3            ÷3

circle = 3

2(triangle) + (circle) + (star) = 16

2(triangle) + 3 + 5 = 16

2(triangle) + 8 = 16

                   -8    -8

2(triangle) = 8

÷2              ÷2

triangle = 4

I hope this helps!

The coordinates of the midpoint M are (-4,6)

Midpoint is the middle point of line segment. Measuring the distance between the two end points and divide the result by 2 this distance is known as midpoint of that line. Adding two end point of x and y and divide the sum by 2 we get coordinates of midpoint.

We can calculate the coordinates of midpoint by Midpoint formula

[tex]=\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}[/tex],

Endpoints of AB are A(-8,5) and B(0,7)

[tex](x_1,y_1)=(-8,5) and (y_1,y_2)=(0,7)[/tex]

Put the value of x and y in the above formula we get

[tex]=(\frac{-8+0}{2}),(\frac{5+7}{2}\\ =(\frac{-8}{2}),(\frac{12}{2})\\ =(-4,6)[/tex]

To learn more about the Coordinates of midpoint here,

brainly.com/question/28575923

#SPJ1

The first five terms of a geometric sequence with first term -100 and common ratio 1/5 are  -100, -20, -4, -4/5, -4/25

The given parameters:

a₁ = -100, r = 1/5

r is the common ratio, hence, the given sequence is a geometric sequence.

In a geometric sequence, the formula for the nth term is given by:

      a(n) = a(1) . rⁿ⁻¹

We can also find the terms using recursive formula. The nth term of a geometric sequence is equal to the (n-1)th term times the common ratio, r. Mathematically,

      a(n) = a(n -1) . r

Let us start from n = 1

a(1) = -100  (given)

a(2) = a(1) . r = (-100) . 1/5 = -20

a(3) = a(2) . r = (-20) . 1/5 = -4

a(4) = a(3) . r = (-4) . 1/5 = -4/5

a(5) = a(4) . r = (-4/5) . 1/5 = -4/25

Therefore, the first five terms are  -100, -20, -4, -4/5, -4/25

Learn more about sequence here:

https://brainly.com/question/28584882

#SPJ4

The answer is 495

Step-by-step explanation:

If you need to add 5 more push-ups every day and find the total it would be 20+25+30+35+40+45+50+55+60+65+70=495

The equation of the line in slope-intercept form passing through the point (1 , -1) and parallel to y = (2/5)x - 3 is y = (2/5)x - 7/5.

The equation of a line can be expressed in three different forms: standard form, slope-intercept form, and point-slope form.

The slope-intercept form of the equation of a line is given by the formula:

y = mx + b

where m is the slope of the line

b is the y- intercept

If the line is parallel to y = (2/5)x - 3, then their slopes are equal.

y = (2/5)x - 3 : m = 2/5

m = 2/5

Substitute the values of the slope and the point to solve for the y-intercept, b.

y = mx + b

-1 = 2/5(1) + b

b = -7/5

Write the equation of the line by plugging in the value of the slope and y-intercept.

y = mx + b

y = (2/5)x - 7/5

To learn more about equation of the line in slope-intercept form: brainly.com/question/1884491

#SPJ4

Answer: three and two.

If you add the digits of the number you have, for example, 36 (3+6 = 9), and the result is in the on the table of multiplication of 9; then is divisible by 9.

the difference between twice the unit digit of the given number and the remaining part of the given number should be a multiple of 7 or it should be equal to 0

Step-by-step explanation:

b ˜µ /ndf gn df/ng df/ng /dnf gn fdng

Answer:

28 pints

Step-by-step explanation:

1 gal= 8 pints

for reference: pint = gallon × 8

so,

3.5 gallons × 8 gives you 28.

Height of the volcano = 729

The elevation angle to the peak of the volcano is 23 degrees.

The surveyor goes 750 feet closer to the volcano, and the angle of elevation now equals 37 degrees.

It forms an ABC triangle.

Point A = the volcano's summit

Point B is the volcano's lowest point.

Point C = height of 23 degrees to the volcano

Point D = going 750 towards the volcano and establishing a 37-degree elevation angle

BD = ?

DC = 750

Tan 23 degrees AB/BC

Tan 23 degrees AB = BC

Tan 37 degrees AB/BD

Tan 37 degrees = AB

23 degrees BC Tan 37 degrees BD Tan

(BD +750)

BD (.7536-.4245) = 318.356

BD = 967.35

Height of the volcano = 729

To  learn more about Angle of elevation from the given link:

https://brainly.com/question/21137209

#SPJ9

Answer:

Step-by-step explanation:

6x^2 - x - 13 = 0

6 * -13 = -78.

So, to factor this we need 2 integers whose product is -78 and whose sum is -1.

There are no such integers so we can't solve this by factoring.

The domain of the function is x < 2 and it is discontinuous at x = 2

The domain of a function is the range of input values to the function.

Given that the above function f(x) = √[(x² + 1)/(2 - x)]

The domain of the function is the range of values of x that make the denominator greater than zero

So, the domain is √(2 - x) ≥ 0

2 - x ≥ 0

2 ≥ x

x ≤ 2

So, the function is valid for x < 2 and discontinuous at x = 2 since at x = 2, √(2 - x) = √(2 - 2) = 0

So, we see that the function is valid for x < 2 and discontinuous at x = 2

So, the domain of the function is x < 2 and it is discontinuous at x = 2

Learn more about domain of a function here:

https://brainly.com/question/10197594

#SPJ1

I used the Algebraic Method to solve the questions

The First functions are inverses but the Second set aren't

If y varies in direct proportion to x and y = 6 when x = 2, the variational constant is k = = 3. Consequently, y = 3x is the equation that describes this direct variation.

Direct variation is the change in one quantity as a result of the change in another. This suggests that if one quantity rises or falls, the other must rise or fall correspondingly as well.

The formula y = kx is used to answer direct variation questions. If finding the proportionality constant is necessary, the answer is obtained by dividing y by x.

To learn more about direct variation from the given link:

brainly.com/question/14254277

#SPJ4

The first five terms of the sequence are 1,4,7,9,11.

A sequence is an enumerated group of items in mathematics where repetitions are permitted and order is important. It has members, just like a set does. The length of the sequence is determined by the number of items.

Given,

aₙ=a n₋₁ +2 n

For a1 = 1

a2 = 1 + 2.2 = 1 + 4 = 5

a3 = 1 + 2.3 = 1 + 6 = 7

a4 = 1 + 2.4 = 1 + 8 = 9

a5 = 1 + 2.5 = 1 + 10 = 11

To learn more about sequences from given link

https://brainly.com/question/24989563

#SPJ4

The question asked by Rashid to genie, “ How many wishes have you granted ?” is not a statistical question.

Statistical question is a question that can be answered by collecting the data that vary and for which there will be variability in that data.

According to question, the question asked by Rashid has a direct answer for which there is no need to collect any data that is it has single data point which does not have any variability.

Thus the question asked by Rashid to genie is not a statistical question.

Learn more about statistics here : https://brainly.com/question/15525560

#SPJ9

According to the translation rule, The translation of the rectangle is (x, y) → (x – 3, y + 5). Thus option C is correct.

According to the statement

We have to find that the translation rule.

So, For this purpose, we know that the

Translation is refers to the movement of a shape from one point to a different, without altering its appearance.

From the given information:

A rectangle on a coordinate plane is translated 5 units up and 3 units to the left.

With this in mind,

Once there's an upwards or downwards movement, there's a shift within the y coordinate

A move to the left or right movement, the x- coordinate is affected and moving left is negative

Hence,

y-coordinate is positive

x-coordinate is negative

Therefore, the rectangle translating 5 units up and three units to the left would be: (x, y) → (x – 3, y + 5)

So, According to the translation rule, The translation of the rectangle is (x, y) → (x – 3, y + 5). Thus option C is correct.

Learn more about translation rule here

https://brainly.com/question/2141492

#SPJ9

The reading in the odometer will be 18,403 miles after travelling for 4 hours on the highway as Dominic covered a distance of 288 miles on the highway.

Distance on the odometer that was already logged = 18,115 miles.

Distance on the odometer after 45 minutes = 18,169 miles.

Distance covered in 45 mins = 18169 - 18115 = 54 miles.

Speed = 54 miles / 45 min

Speed = 6 miles / 5 minutes = 72 miles / hour

Now, he drove on the highway for 4 hours.

Time = 4 h

Distance = speed × time

D = 72 × 4 miles

D = 288 miles

Reading on the odometer when he exited the highway will be:

R = 18115 + 288 miles

R = 18403 miles.

Therefore, we get that, the reading in the odometer will be 18,403 miles after travelling for 4 hours on the highway as Dominic covered a distance of 288 miles on the highway.

Learn more about distance here:

https://brainly.com/question/7243416

#SPJ1

Answer:

[tex]w=9[/tex]

Step-by-step explanation:

[tex](4w-7)+(7w-2) = 90\\11w-9=90\\11w=99\\w=9[/tex]

The probability of the outcome P(odd) is 1/2.

Probability is a measure of the likelihood of an event to occur. It can range in from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event.

We know that,

All outcomes in a die are 1,2,3,4,5, and 6.

Even outcomes = 2,4, and 6

Odd outcomes = 1,3, and 5

Hence,

Total number of odd outcomes = 3

Total number of outcomes = 6

We know that,

Probability of an event = Number of possible outcomes of the event/ Total number of outcomes

Therefore, we can write:-

Probability of the odd outcomes = 3/6 = 1/2

To learn more about probability, here:-

https://brainly.com/question/9793303

#SPJ4

Using linear equations, Sandi and Felipe have raised the same amount of money after 4 miles.

We can calculate using linear equations

Formulate based on the criteria stated: 30 +2.5 x x = 20 + 5 × x

Unknown terms should be moved to the left side of the equation:

2.5x-5x= 20-30

combining similar terms

-2.5x = 20 - 30

Determine the total or difference: 2.5x = -10

Subtract the coefficient of the variable from both sides of the equation: = -10 ÷ (−2.5)

Take the parenthesis out: 10 ÷ 2.5 =

Determine the quotient or product:

x = 4

find the outcome: = 4

Response: x = 4.

To learn more about linear equations from given link

https://brainly.com/question/2030026

#SPJ1

Answer:

-551,769

Step-by-step explanation:

We could just simply use subtraction:

97,485 - 649,254 = -551,769

Hope this helps!

The simplest radical form of (-2,3) and (6,-4). is  √113

The points are given as:

(-2,3) and (6,-4).

The distance is calculated using

d = √(x2 - x1)^2 + (y2 - y1)^2

This gives

d = √(-2 - 6)^2 + (3 + 4)^2

Evaluate

d = √113

Hence, the simplest radical form of (-2,3) and (6,-4). is  d = √113

Read more about distance at:

https://brainly.com/question/17273444

#SPJ1