3) Find f(3) for the function below.
f(x) = 2x² – 3x

Answers

Answer 1

Answer:

9

Step-by-step explanation:

f(x) = 2x² – 3x

Let x=3

f(3) = 2 * 3^2 - 3*3

     = 2 *9 - 9

     = 18-9

      = 9

Answer 2

Answer:

f(3) = 9

Step-by-step explanation:

[tex]f(x) = 2x^2 -3x\\ f(3) = ?\\\\ f(3) = 2(3)^2 -3(3)\\ f(3) = 2(9) - 9\\ f(3) = 18- 9\\ f(3) = 9[/tex]


Related Questions

(-2 + 1)² + 5(12 : 3) - 9.

Answers

Answer:

5(12 : 3) -8

Step-by-step explanation

when you solve the first half of the equation you get 1.

so 9-1 is 8.

A football stadium splits ticket sales in ratio of 3 : 4 between the away team and the home team. The home team make £36,000. What is the total amount of ticket sales?

Answers

Answer is 63,000 pounds

The ratio 3:4 means for every 3 pounds made in away team tickets versus home team tickets. Multiply both sides by 9000 to have that 4 turn into 36000. The ratio 3:4 will then turn into 27000:36000

With this new ratio, we see that the away team pulls in 27000 and the home team pulls in 36000. Add the two amounts to get the final answer

27000+36000 = 63000

------------

We could alternatively add 3 and 4 (from the ratio 3:4) to get 3+4 = 7. Then multiply by that same scale factor 9000 getting 9000*7 = 63000.

Helppp thank you!!!!!

Answers

Answer:

90π sq cm

Step-by-step explanation:

2πrh = 2π(5)(9) = 90π sq cm

Three friends have been working in a garden. One has worked for 11 hours and the other 2 worked for 7 hours. The garden owner paid $500 for the work that was done. How should this money be divided fairly between the three friends?

Answers

Answer:

First should get $220, other two should get $140 each.

Step-by-step explanation:

The ratio of hours the friends worked is 11:7:7. Say that they are paid 11x, 7x, and 7x respectively, therefore:

11x + 7x + 7x = 500

25x = 500

x = 20 so the first friend should get 11 * 20 = $220 and the other two should get 20 * 7 = $140 each.

Please answer question

Answers

Answer:

          V = 28 mm³    

Step-by-step explanation:

Base is right triangle, so:

B = ¹/₂•4•6 = 12 mm²

H = 7 mm

V = ¹/₃•B•H

V = ¹/₃•12•7 = 4•7 = 28 mm³

Answer:

V=28 mm³

Step-by-step explanation:

V= volume of the pyramide

G = square of the triangle

h = high of the pyramide

V = 1/3 * G* h

G=1/2 *a*b

G = 1/2 * 6 * 4

G = 12

V= 1/3 *12*7

V=28 mm³

- Find the slope intercept form of the equation. 4x + 2y = 50

Answers

Answer:

[tex]\boxed{y=-2x+25}[/tex]

Step-by-step explanation:

First, subtract 4x from both sides of the equation to put into slope-intercept form (y = mx + b). Then, divide by 2 to isolate the y.

4x + 2y = 50

2y = -4x + 50

y = -2x + 25

Answer:

[tex]y=-2x+25[/tex]

Step-by-step explanation:

To find the slope-intercept form of the equation, we just need to isolate the y-variable.

So we have the equation:

[tex]4x+2y=50[/tex]

First, subtract 4x from both sides. The 4xs on the left cancel:

[tex](4x+2y)-4x=50-4x\\2y=-4x+50[/tex]

Now, divide both sides by 2. The 2s on the left cancel:

[tex]\frac{2y}{2}=\frac{-4x+50}{2} \\y=\frac{-4x+50}{2}[/tex]

Simplify the right side. Expand the fraction:

[tex]y=\frac{-4x}{2}+\frac{50}{2} \\[/tex]

Cancel out the terms:

[tex]y=-2x+25[/tex]

Therefore, the slope-intercept form is:

[tex]y=-2x+25[/tex]

A line passes (-8,-2) and has a slope of 5/4. Write an equation in Ax + By=C

Answers

Answer:

5x-4y = -32

Step-by-step explanation:

First write the equation in point slope form

y-y1 = m(x-x1)

y - -2 = 5/4 ( x- -8)

y+2 = 5/4 (x+8)

Multiply each side by 4 to clear the fraction

4( y+2 )= 4*5/4 (x+8)

4y +8 = 5(x+8)

4y+8 = 5x+40

Subtract 4y from each side

8 = 5x-4y +40

Subtract 40 from each side

-32 = 5x-4y

5x-4y = -32

Answer:

The answer is

5x - 4y = -32

Step-by-step explanation:

To write an equation of a line given a point and slope use the formula

y - y1 = m( x - x1)

where

m is the slope

( x1 , y1) is the point

From the question

slope = 5/4

point (-8 , -2)

So the equation of the line is

[tex]y + 2 = \frac{5}{4} (x + 8)[/tex]

Multiply through by 4

4y + 8 = 5( x + 8)

4y + 8 = 5x + 40

5x - 4y = 8 - 40

We have the final answer as

5x - 4y = -32

Hope this helps you

The sum of Jim's weight and Bob's weight is 180 pounds. If you subtract Jim's weight from Bob's weight, you get half of Bob's weight. How many pounds does Bob weigh?

Answers

Answer:

120 pounds

Step-by-step explanation:

We can use systems of equations to solve this problem. Assuming j is Jim's weight and b is Bob's weight, the equations are:

j + b = 180

b - j = 1/2b

Let's get b - j = 1/2b into standard form (b, then j, then the equal sign, then the constant.)

[tex]b - j = \frac{b}{2}\\\frac{b}{2} - j = 0[/tex]

Now we can solve using the process of elimination.

[tex]b + j = 180\\\\\frac{b}{2} - j = 0\\\\b + \frac{b}{2} = 180\\\\b + b \cdot 2 = 180\cdot 2\\3b = 360\\b = 120[/tex]

Now we know how much Bob weighs, for fun, let's find Jim's weight by substituting into the equation.

[tex]120 + j = 180\\j = 180-120\\j = 60[/tex]

So Bob weighs 120 pounds and Jim weight 60 pounds.

Hope this helped!

Answer:

Bob weighs 120 pounds

Step-by-step explanation:

Our first equation will be J(Jim) + B(Bob) = 180 pounds. Our second equation will be 2J = B because it says " if you subtract Jim's weight from Bob's weight, you get half of Bob's weight." This is basically saying that Jim is half of Bob's weight. So that's why our second equation is 2J=B. In our first equation, J+b=180, if we substitute b for 2J, our second equation, then we get the equation 3J = 180. After dividing 3 from both sides, we get j=60. Since Bob weighs twice as much as Jim, his weight will be 120. Now if we want to double-check, we can substitute Jim and Bob's weight for all of the equations.  

1) 60 + 120 = 180                This equation is correct

2) 2(60) = 120                     This is correct because 2 times 60 equals to 120

3) 3(60) = 180                     This is correct because 60 times 3 equals to 180

What are the possibilities of “AI technology” in various fields of mathematics education.?
Please help fast

Answers

Answer:

it could be used to calculate higher deviations of calculus, to measure heights also for optimization algorithms for decision

making under uncertainty

subtract c from 7, then divide b by the result

Answers

Answer:

[tex]\frac{7-c}{b}[/tex]

Answer:

[tex]\frac{7 -c}{b}[/tex]

Step-by-step explanation:

Subtract c from 7 : 7 - c

Then the result is divide by b :  [tex]\frac{7 -c}{b}[/tex]

Identify the relation that is not a function. weight of an apple to the apple's cost time of day to the temperature at that time weight of a person to a person's height phone number to a person's name

Answers

Answer: Weight of a person to a person's height

Let x = weight and y = height. It is possible to have a certain weight correspond to multiple heights. This means the input x has multiple output y values. Therefore, we cannot have a function here. A function is only possible if for any x input, there is exactly one y output. The x value must be in the domain.

Find the distance between the two points (8, 3) and (0, -3)

Answers

Answer:

10

Step-by-step explanation:

d is the variable for distance

√(0−8)2+(−3−3)2=

√(−8)2+(−6)2=

√64+36=

√100=

10

Answer:

10

Step-by-step explanation:

What is the range of the function represented by this graph? the graph of a quadratic function with a minimum value at the point (-3,1)

Answers

Answer:

see explanation

Step-by-step explanation:

The minimum is at the vertex (- 3, 1 ), that is y = 1

Since the graph is a minimum then it opens vertically up U

The range of the values of y are therefore

range [ 1, ∞ )

Answer:

Graph would be nice.

Step-by-step explanation:

Evaluate the problem

Answers

Answer:

.6

Step-by-step explanation:

First find < ABC

Since this is a right triangle, we can use trig functions

tan < ABC = opp / adj

tan < ABC = 2/4

Take the inverse tan of each side

tan ^-1 tan < ABC =  tan ^-1 2/4

< ABC = 26.56505118

Multiply by 2

53.13010235

Take the cos

cos (53.13010235)

.6

HELP PLEASE!!!!! I OFFER 100 points!!!!
Suppose that a company claims that its boxes of breakfast cereal contain 18 ounces of cereal on average, with a standard deviation of 0.5 ounces. if you took a sample of 50 boxes of cereal, what would be the expected mean amount of cereal per box in the sample?

Answers

Answer:

18 ounces

Step-by-step explanation:

The expected mean is the average amount

Since the average amount is 18 ounces, we should expect 18 ounces

Answer:

18 ounces

Step-by-step explanation:

What is a16 of the sequence 2,11,20

Answers

Answer:

137

Step-by-step explanation:

This is an arithmetic sequence with first term (a₁) being 2 and common difference (d) being 11 - 2 = 9.

Explicit formula: aₙ = a₁ + (n - 1) * d so our formula is:

aₙ = 2 + (n - 1) * 9

= 2 + 9n - 9

= 9n - 7

a₁₆ = 9(16) - 7 = 137

Find the common ratio for the geometric sequence for which [tex]a_1[/tex]=3 and [tex]a_5[/tex]=48. A. -3 B. -2 C. 3 D. 2

Answers

Answer:

An= A1 * r^n-1

A5= 3 * r^5-1

48= 3*r^4

48÷3=r^4

16=r^4

r=

[tex] \sqrt[4]{16} [/tex]

r=2

The answer is D. 2

Espero que te sirva

hsじぇいrんふぉそ具jんじょおlっっっkjか、

Before you can make a pie chart you need to figure out how much of the circle belongs to each category. Suppose that you earned $6.00 doing odd jobs. You spent your money in this manner: Tithe$ 0.60 Missions$ 0.40 Recreation$ 1.80 Savings$ 2.40 School supplies$ 0.80 Remembering the formula, (category total) x 360°, you can figure out each part. For example: 60/600 x 360° = 36° Changing the dollars to cents saves confusion with the decimal point. Following thisformula tells us that, when we make our pie chart, 36° of the graph should belong tothe category of ​tithe.

Answers

Answer:

missions-24

recreation-108

savings-144

school supplies-48

tithe-36

Step-by-step explanation:

so first convert all the given costs to cents by multiplying each amount with 100 then add all of them to get the total as 600

in a pie chart we know that it's a circle and all angles within the circle must add up to 360 so to get an angle for a certain cost that will represent it in the chart you have to take that cost over the total to get the fraction of the circle it will occupy multiplied by 360 to get it in degrees or which portion of 360 will it occupy hence

60/600×360=36

1. Escribe las razones de los siguientes enunciados: a. En una clase de un colegio cada pelota es utilizada por cada equipo de cinco niños, o sea que tenemos cinco alumnos por cada pelota de fútbol. b. En un estacionamiento hay coches de fábricas asiáticas y de fábricas americanas. En total hay 3060 coches, de los cuales, 1740 son de fabricación asiática y el resto, 1320, son de fabricación americana. (es urgentee.. Es para una tarea)

Answers

Answer:

a. 5 n/p o 1 p/ 5n

b. 1720 autos asia/3060 autos, o 1320 autos USA/3060 autos

Step-by-step explanation:

Se entiende como razón a la fracción que compara dos elementos entre sí.

Por ejemplo en una clase de 24 alumnos donde 15 son mujeres y 9 son varones, podemos decir que:

- Por cada 15 mujeres hay 9 varones 9/15

- Por cada 9 varones hay 15 mujeres, 15/9

Para el ejercicio a. nos cuentan que 1 pelota es utilizada cada 5 niños, por lo que la razón la podemos escribir como 1/5, 1 pelota cada 5 o directamente 5, ya que por cada 5 alumnos, tenemos 1 pelota.

El ejercicio b es más fácil: ya tenemos el total de autos, 3060. Entonces:

- Cada 3060 autos, 1720 son asiáticos

- Cada 3060 autos, 1320, son americanos

Which number is a solution of the inequality 8 – 14b ≥ 27?
A. 140
B. –76
C. –8.75
D. –4.75

Answers

Answer:

8 - 14b ≥ 27                   ⇒ subtract 8 from both sides- 14b ≥ 27 -8            - 14b ≥ 19                       ⇒ divide both sides by 14- b ≥ 19/14                      ⇒ multiply both sides by -1 b ≤ - 19/14                      ⇒ multiplication by a negative changes the  

                                                   inequality sign to opposite one

b ≤ - 19/14  and the answer choices B, C and D are all correct as are less than -19/14

A. 140 is the only one incorrect

this one from maths pls help

Answers

Answer:

The total amount left by Manavi and Kuber is: (1) 399

Step-by-step explanation:

Manavi

saving account +  amount spent at the mall:  1/'2 + 1/4 =  3/4

left over: 1 - 3/4 = 4-3/4 = 1/4

1260 ( 1/4) = 315

The total leftover for Manavi is Rs.315.

Now do the same steps with Kuber.

Kuber

saving account +  amount spent at the mall: 1/3+ 3/5 = 14/15

left over: 1- 14/15 = 15-14/15 = 1/15

1260 (1/15) = 84

The total leftover for Kuber is Rs.84.

Lastly, just add both left over amount together.

315+84 = 399

The total amount left by Manavi and Kuber is: (1) 399

**Yoxelt buys 4 1/ 2 gallons of soda. One-fourth of the soda he bought was Pepsi and the rest was Sprite. How many gallons of Pepsi did Yoxelt buy? Show all work below.

Answers

Answer:

1 1/8

Step-by-step explanation:

1/4 of 4 1/2 is Pepsi.

1/4 * 4 1/2 = (1/4) * 4 + (1/4) * (1/2) = 1 1/8

A.) Pinky bought 1. 1/2 kg of apples and 5. 1/4 kg of mangoes 1. 1/2 kg of oranges. Find the total weight of fruits B.) if her family eats 3/4 kg of apples and 2. 1/2 kg of mangoes and 1/2 kg of oranges. Find the weight of fruits left (Please say the answer with explanation who says the answer first I will mark them as the brainliest)

Answers

Answer:

A. Total weight of the fruits is 2.25 kg

B. There are no more fruits left.

Step-by-step explanation:

A.

To get the total weight of the fruits, we will first of all have to sort out the fruits and multiply the weight of the fruits by the number available.

Weight of apples:

we have one 1apple weighing 1/2 kg. The weight will be 1 |X 1/2 = 1/2 kg

Weight of mangoes:

We have five mangoes weighing 1/4 kg. Total weight will be 5 X 1/4 = 5/4 kg

Weight of oranges:

We have one orange weighing 1/2 kg. Total weight will be 1X 1/2 = 1/2 kg

Total weight of the fruits will be total weight of Mangoes + oranges + apples

= 1/2 + 5/4 + 1/2 = 2.25kg

B.

If her family begins to eat off some portions of the fruits, we will have to calculate the sum total of all the weights of fruits eaten

The portion eaten will be 3/4 + (2 X 1/2) + 1/2 = 2.25kg

If this happens the family would have eaten all of the fruits because

the original weight present is only 2.25kg of fruits to start with

Find the coordinates of point Q that lies along the directed line segment from R(-2, 4) to S(18, -6) and partitions the segment in the ratio of 3:7.

Answers

Answer:

The coordinates of the point Q is (4, 1)

Step-by-step explanation:

The given parameters are;

The directed line segment  extends from R(-2, 4), to S(18, -6)

The ratio in which the point Q partitions the directed line segment = 3:7

Therefore, the proportions of the R to Q = 3/(3 + 7) = 3/10 the length of RS

Which gives;

(-2 + (18-(-2))×3/10,  4 +(-6 -4)×3/10) which is (4, 1)

The coordinates of the point Q = (4, 1)

We check the length from R to S is given by the relation for length as follows

[tex]l =\sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

Where;

R(-2, 4) = (x₁, y₁)

S(18, -6) = (x₂, y₂)

Length of segment RS  = 22.36

length from R to Q = 6.7086

We check RQ/RS = 6.7082/22.36 = 0.3

Also QS/RS = (22.36 - 6.7082)/22.36 = 0.6999≈ 0.7

The coordinates of the point Q = (4, 1).

PLEASE HELP TO BE MARKED THE BRAINLIEST

Answers

Answer: Segment Addition Postulate

If we have line segment AB, and point C is somewhere on AB, then AC+CB = AB through the segment addition postulate.

This is the idea where basically we can glue together two straight lines to form a longer straight line. Or we can go in reverse to break up a line into smaller parts.

Consider f(x) = 3x2 + 4 and g(x) = 2x − 3. Which statements about f + g are true? Select all that apply. A. The domain is all real numbers. B. The range is all real numbers. C. It is a linear function. D. It is a quadratic function.

PLEASE HELP

Answers

Answer:

B. The range is all real numbers. D. It is a quadratic function.

Step-by-step explanation:

Given the functions  f(x) =  3x² + 4 and g(x) = 2x − 3, to know that statements that is  true about f+g, we will need to add the functions together first.

f(x)+g(x) = 3x² + 4 + 2x - 3

f(x)+g(x) = 3x²+2x +4 - 3

f(x)+g(x)  = 3x²+2x + 1

The highest degree of a quadratic function is 2 and since the highest degree of the resulting function is 2, hence the resulting sum of the equations is quadratic.

Also the range of the values is all real numbers because the presence of x² in the function will always return a positive value greater than x.

Hence the correct statements are 'the range is all real numbers and it is a quadratic function'

Answer:

B AND D

Step-by-step explanation:

EXTRA POINTS. WILL GIVE A BRAINLIEST AND A THANK YOU. ANSWER ASAP... I want a clear, grammatically correct answer please, Part A and Part B separate; This is an essay, please write it as such. All steps! Easy to understand! Josh and his friends bought vanilla wafers for $4 per packet and chocolate wafers for $1 per packet at a carnival. They spent a total of $45 to buy a total of 27 packets of wafers of the two varieties. Part A: Write a system of equations that can be solved to find the number of packets of vanilla wafers and the number of packets of chocolate wafers that Josh and his friends bought at the carnival. Define the variables used in the equations. (5 points) Part B: How many packets of chocolate wafers and vanilla wafers did they buy? Explain how you got the answer and why you selected a particular method to get the answer. (5 points)

Answers

Answer:

Part A:

[tex]x+y=27 \\4x+y = 45[/tex]

Part B:

Number of vanilla wafers packets bought = 6  and

Number of chocolate wafers packets bought = 21

Step-by-step explanation:

Given:

Cost of each packet of vanilla wafer = $4

Cost of each packet of chocolate wafer = $1

Total number of packets bought = 27

Total money spent = $45

Part A:

To write a system of equations for the given situation.

Here, we do not know the number of packets bought for each type of wafer.

We just know that total number of packets bought and the total money spent in buying those packets.

Let us suppose,

Number of packets of vanilla wafers bought = [tex]x[/tex] and

Number of packets of chocolate wafers bought = [tex]y[/tex]

Total number of packets = Number of packets of vanilla wafers bought Plus Number of packets of chocolate wafers bought:

i.e. [tex]x+y=27 ...... (1)[/tex]

Money spent on vanilla wafers packets = [tex]4 \times x[/tex]

Money spent on chocolate wafers packets = [tex]1 \times y[/tex]

Total money spent = [tex]4x+y = 45 ...... (2)[/tex]

So, the system of equations is:

[tex]x+y=27 \\4x+y = 45[/tex]

Part B:

To find number of packets bought for each flavor = ?

Here, we have two equations and two variables [tex]x[/tex] and [tex]y[/tex].

As, the coefficients of [tex]y[/tex] in both the equations are same.

Let us subtract equation (1) from (2):

[tex]4x+y-x-y=45-27\\\Rightarrow 3x = 18\\\Rightarrow \bold{x =6}[/tex]

By equation (1), putting the value of [tex]x[/tex] and solving for [tex]y[/tex]:

[tex]6+y=27\\\Rightarrow \bold{y =21}[/tex]

So, number of vanilla wafers packets bought = 6  and

number of chocolate wafers packets bought = 21

Anna's back Garden consists of a rectangular lawn measuring 9m by 7m, surrounded by a gravel path of width X metres. Find, and simplify, an expression for the total area of the garden.​

Answers

A rectangular lawn measuring 8m by 4m is surrounded by a flower bed of uniform width.

The combined area of the lawn and the flower bed is 165m^2. What is the width of the flower

:

Let x = the width of flower bed

:

Then the overall dimensions (flower bed & lawn) will be:

(2x + 8) by (2x + 4)

:

Overall area

(2x+8)*(2x+4) = 165

FOIL

4x^2 + 8x + 16x + 32 = 165

A quadratic equation

 

4x^2 + 24x + 32 - 165 = 0

4x^2 + 24x - 132 = 0

Simplify, divide by 4, results:

x^2 + 6x - 33 = 0

Use the quadratic formula to solve this

It takes 250 \text{ g}250 g250, start text, space, g, end text of pasta and 240 \text{ ml}240 ml 240, start text, space, m, l, end text of sauce to make one batch of spaghetti, and it takes 600 \text{ g}600 g600, start text, space, g, end text of pasta and 700 \text{ ml}700 ml 700, start text, space, m, l, end text of sauce to make one batch of lasagna.

Answers

Answer:

250S + 600L > 4000

240S + 700L > 5000

Step-by-step explanation:

It takes 250 g of pasta and 240 ml of sauce to make one batch of spaghetti, and it takes 600g of pasta and 700ml of sauce to make one batch of lasagna.

Friedrich is a chef who wants to make spaghetti and lasagna using more than 4000 g of pasta and more than 5000 ml of sauce.

Let S denote the number of batches of spaghetti he makes and L the number of batches of lasagna he makes.

Write an inequality that represents the condition based on the number of grams of pasta.

Write an inequality that represents the condition based on the number of milliliters of sauce.

Scenario 1: Pasta

The chef wants to make spaghetti and lasagna using more than 4000 g of pasta.

S =the number of batches of spaghetti he makes

L =the number of batches of lasagna he makes.

We have, inequality based on the number of grams of pasta

250S + 600L > 4000

Scenario 2: Sauce

chef wants to make spaghetti and lasagna using more than 5000 ml of sauce.

S= the number of batches of spaghetti he makes

L= the number of batches of lasagna he makes.

We have, inequality based on the number of milliliters of sauce

240S + 700L > 5000

The two inequalities are:

250S + 600L > 4000

240S + 700L > 5000

hat is the solution of the system of equations?


y = 3x – 4
−3y = −9x + 12

Answers

-3y = -9x + 12 (divide both sides by -3)
y = 3x - 4

This means that the two equations are the same, meaning there are infinite solutions.
Other Questions
________ is the idea that organizations tend to be more effective when they are structured to fit the demands of the situation. David Setran said that this activity is most productive in helping emerging adults remain faithful to his or her beliefs through this stage of life: How are paraphrasing and summarizing similar? Ethics are Multiple Choice standards of right and wrong that influence behavior. a type of norm. always synergy driven. company policies that are prominently posted on office bulletin boards. rules that result in happier employees. A to the power of 6 = a to he power 2 Why was trade with Asia so important to European nations?Asia was the only place Europeans could sell their wool and timberAsia had highly prized goods that Europe didn't haveEuropeans wanted to leam more about Asia,Europeans could easily travel to Asia, At the beginning of March, a store bought a fancy watch at a cost of $250 and marked it up 20%. At the end of the month, the fancy watch had not sold, so the store marked it down 10%. What was the discounted price? 3.3. (08.01 LC) Find the circumference and area of a circle with a diameter of 10 inches. Leave your answers in terms of pi. (4 points) . 4. (08.01 MC) Given a cube with a volume of 27 cm3, what is the volume of a square pyramid that can fit perfectly inside the cube? (4 points) Once a firm reaches the lowest point on the Long Run Average Total Cost Curve then the firm will automatically charge a lower prices for their product or service. The cost analysis model that we studied in Chapter 9 said that this is always the best strategy to effectively capture the maximum market share.A- True B- False Which is a reason that abstinence is a good idea for teenagers A customer can pay GH900.00 per month on a mortgage payment. Interest rate is 12% annually compounded continuously, and mortgage terms is 15 years. Determine the maximum amount the customer can pay withinthe period. Jack is 10 years old.Kylie is 17 years old.Vanessa is 23 years old.Kylie and Vanessa share 16 in the ratio of their ages.Kylie gives 20% of her share to Jack.Vanessa gives a quarter of her share to Jack.How much money does Jack receive?plz answer me step by step plzz plz A car is averaging 50 miles per hour. If the car maintains this speed, how many minutes less would a 450-mile trip take than a 475-mile trip? (x1)(x7)=0 PLEASE HELP The field of inquiry that studies human culture and evolutionary aspects of human biology; includes cultural anthropology, archeaology, linguistics, and physical, or biological anthropology. __________ _______ appraisals occur between managers and their subordinates whenever the need to discuss ongoing progress and areas for improvement arise. Complete the unit conversion by entering the correct numbers A=B=C= Suppose there are 1000 firms in a market and all are identical. Firm A will hire 20 workers when the wage rate is $10, 25 workers when the wage rate is $9, and 30 workers when the wage rate is $8. The equilibrium wage rate for a number of years has been $9. If the wage rate falls to $8, we know that In a family with children, the probability that all the children are girls is appoximately . In a random sample of 1000 families with children, what is the approximate probability that or fewer will have girls? Approximate a binomial distribution with a normal distribution. What is the scale factor in the dilation?Answer Choices2/51/222 1/2