PLEASE HELPPPP Wilson is thinking about buying a house for $249,000. The table below shows the projected value of two different houses for three years. Number of years 1 2 3 House 1 (value in dollars) 253,980 259,059.60 264,240.79 House 2 (value in dollars) 256,000 263,000 270,000 Part A: What type of function, linear or exponential, can be used to describe the value of each of the houses after a fixed number of years? Explain your answer. (2 points) Part B: Write one function for each house to describe the value of the house f(x), in dollars, after x years. (4 points) Part C: Wilson wants to purchase a house that would have the greatest value in 45 years. Will there be any significant difference in the value of either house after 45 years? Explain your answer, and show the value of each house after 45 years. (4 points) (10 points)

Answers

Answer 1

Part A

House 1: we make exponential can be used to describe the

value of house 1. After 1 year, 253480 = 249000 x 1.02

After 2 years, 259059.6 = 25398×1.02. After 3 years 264240.79 =259059.60x1.02.

House 1: we make linear. 256000=249000 + 1000.263000 = 256000 +7000.270000=263000 + 1000.

Part B.

House 1: f(x)=249000 1.02x [genometic sequence]

House 2: f(X) = 24900 + 1000x [arithmetic progression]

Part C

House 1: f(45)=249000×1.02 45 = 607025.697

House 2: f(45) = 249000 +7000x45 = 564000

"House 1 is an arithmetic sequence that increases in price each year while House 2 is an arithmetic sequence that only increases by 1000 per year.

What are word problems in mathematics?

In computational mathematics, a word problem is a problem of deciding whether two given expressions are equivalent with respect to a set of rewriting identities. A prototypical example is the word problem for groups, but there are many other instances as well.

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Related Questions

Elena has 32 hair ties. Melanie has 8 hair ties. The ratio of Elena’s hair ties to Melanie’s hair ties is : 1. If, Melanie gets 4 more hair ties, the new ratio of Elena’s hair ties to Melanie’s hair ties is 8 : . Helppppppp me

Answers

Answer:

4:1 & 8:2

Step-by-step explanation:

The ratio is 32/8

When simplified it will be 4/1

Since the next ratio is 8/x, make the equation 4x = 8

Because x = 2 the ratio will be 8/2

Which statement is true about the polynomial 5s6t2 + 6st9 – 8s6t2 – 6t7 after it has been fully simplified? It has 3 terms and a degree of 9. It has 3 terms and a degree of 10. It has 4 terms and a degree of 9. It has 4 terms and a degree of 10.

Answers

Answer: The polynomial has 3 terms and a degree of 10.

Step-by-step explanation:

The given polynomial: [tex]5s^6t^2 + 6st^9 - 8s^6t^2 - 6t^7[/tex]

Here, two terms [tex]5s^6t^2[/tex] and [tex]8s^6t^2[/tex] have same power for s and t i.e. they are like terms.

Combine like terms , we get

[tex]6st^9 - 3s^6t^2 - 6t^7.[/tex] i.e. there are 3 terms.

Degree of [tex]6st^9[/tex]  is 1+9=10;

Degree of [tex]- 3s^6t^2[/tex] is 6+2=8;

Degree of  [tex]- 6t^7[/tex]  is 7.

Since degree of the polynomial = highest degree i.e. 10

Hence, the polynomial has 3 terms and a degree of 10.

The statement which is true about the polynomial 5s⁶t² + 6st⁹ – 8s⁶t² – 6t⁷ is; It has 4 terms and a degree of 10.

Discussion:

By counting the number of terms in the polynomial;

We can conclude that the polynomial has 4 terms and hence can be called a tetranomial.

Additionally, the degree of the polynomial is 10.

This is from the term with the highest degree which is; 6st⁹; where s has degree 1 and t has degree 9; total of which is; 10.

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What is the result of adding these two equations?

Answers

Answer:

-5x - 8y = -5.

Step-by-step explanation:

4x + (-9x) -4y + (-4y) = -2 + (-3)

-5x - 8y = -5.

Answer:

 -5x -8y = -5

Step-by-step explanation:

The question asks us to add the equations

  4x - 4y = -2

+ -9x -4y = -3

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

 -5x -8y = -5

Write 5 3/7 as an improper fraction.

Answers

Answer:

The answer is option A

Step-by-step explanation:

[tex]5 \frac{3}{7} [/tex]

Can be written as

[tex] \frac{38}{7} [/tex]

Hope this helps you

Answer:

38/7

Step-by-step explanation:

question: 5*3/7

      we should first cross multiply 5 with 7 and add the 3 to the product.

      the formula for solving any question like this is :-

               ( whole no. multiplied with denominator ) + numerator

                                                 denominator

           here:   (5*7)+3

                           7

help me plz i need help i need help

Answers

Answer:

the third one

Can someone please help me?

Answers

Answer:

1. 25,000+1000x

2. 19,000+1500x

3. 25000+1000x>19000+1500x

Step-by-step explanation:

For the 1st it is 25,000 because that is what he starts off with and there is an x behind 1000 because it depends on how many years he receives the bonus. For example, if he was there for 3 years the equation would look like 25000+1000(3).  

For the 2nd one, it is the same concept as the first one.

For the third one, it says that Nicholas will make more money so the greater symbol has to be facing the equation that stands for his amount of money.

Hope this helps!

John buys a pizza that has an 8-inch diameter and is cut into 12 congruent slices. What is the length of the outer
edge of any one slice of pizza, in inches?​

Answers

Answer:

D. 2/3π inch

Step-by-step explanation:

360°/12=30° each slice of pizza is 30°.since they are all congruent:

c= 2πr*30°/360°

c=2(4)π* 1/12

c=8π/12

c=2/3π inch

The length of the outer edge of any one slice of the pizza is 2.09 inches

What is Circle?

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the center.

What is Diameter?

A diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle.

What is Sector of  a circle ?

A circular sector, also known as circle sector or disk sector, is the portion of a disk enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger being the major sector.

Given,

Diameter of the pizza = 8 inches

Number of slices =12

We know that,

A circle has a total of 360 degrees all the way around the center

Then angle of each size of pizza = [tex]\frac{360}{12}=30[/tex] degrees

Length of the outer edge of any one slice of pizza = Length of the arc of the sector

Arc length = [tex]2\pi r(\frac{angle}{360})[/tex]=[tex]2\pi (4)(\frac{30}{360})[/tex]

Arc length = 2.09 inches

Hence, the length of the outer edge of any one slice of the pizza is 2.09 inches

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Which statement is true about the quadratic equation 8x2 − 5x + 3 = 0?

Answers

Answer:

It's not a real solution

Step-by-step explanation:

There’s no statements

PLEASE HELP!!!! Emily is making 2 gallons of punch with 4 parts grape juice to 3 parts pineapple juice to 1 part sparkling cider. How many cups of pineapple juice will Emily need?? Hint (1 gallon = 16 cups)

Answers

1 gallon = 16 cups. She is making 2 gallons so needs 32 total cups.

The ratio is 4:3:1

Add the ratios: 4+ 3 + 1 = 8

Divide total cups by total ratio:

32/8 =4

Now multiply that by each portion of the ratio:

Grape juice = 4 x 4 = 16 cups

Pineapple juice = 3x4 = 12 cups

Cider = 1x 4 = 4 cups

She needs 12 cups of pineapple juice.

eighty-four hundredths in standard form

Answers

Answer:

.84

Step-by-step explanation:

━━━━━━━☆☆━━━━━━━

▹ Answer

.84

▹ Step-by-Step Explanation

The hundreths place is 2 decimal places so..

.84

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Image attached: finding geometric mean

Answers

Answer:

I think it's A

Letters a, b, c, and d are angle measures.
Which should equal 105° to prove that f // g?
Оа

n
a
Ос
6
750
d
g

Answers

Answer:

d

Step-by-step explanation:

We can calculate the depth ddd of snow, in centimeters, that accumulates in Harper's yard during the first hhh hours of a snowstorm using the equation d=5hd=5hd, equals, 5, h. How many hours does it take for 111 centimeter of snow to accumulate in Harper's yard? hours How many centimeters of snow accumulate per hour? centimeters

Answers

Answer:

a) Number of hours it takes 1 centimetre of snow to form in Harper's yard = (1/5) hour = 0.20 hour

b) Centimetres of snow that accumulate per hour = 5 cm

Step-by-step explanation:

Complete Question

We can calculate the depth d of snow, in centimeters, that accumulates in Harper's yard during the first h hours of a snowstorm using the equation d=5h.

a) How many hours does it take for 1 centimeter of snow to accumulate in Harper's yard? hours

b) How many centimeters of snow accumulate per hour? centimeters

Solution

The depth of snow, d, in centimetres that accumulates in Harper's yard in h hours is given d = 5h

a) Number of hours it takes 1 centimetre of snow to form in Harper's yard.

d = 5h

d = 1 cm

h = ?

1 = 5h

h = (1/5) = 0.20 hour

b) Centimetres of snow that accumulate per hour.

d = 5h

In 1 hour, h = 1 hour

d = ?

d = 5 × 1 = 5 cm

Hope this Helps!!!

Answer:

1/5 hours

5 centimeters

Step-by-step explanation:

What is the measure of the angle between the minute and the hour hands, when they show 4:20 PM? Note that the answer is not 10!

Answers

Answer:

I would try 10 again but this time put the degree sign in. Sometimes the computer registers in incorrect if it doesn't have a degree sign

Step-by-step explanation:

Also, this is a random note but in geometry, minutes and seconds are classified as smaller units in angles than degrees. 60 minutes is a degree and 60 seconds is a minute so that means 3600 seconds is a degree.

Gary ordered 30 pizzas for a party. 60% of the pizzas have 12 slices each. The remaining 40% of the pizzas have 10 slices each. Complete the model. Then complete the statements to find the total number of slices of pizza

Answers

1) 18 pizza with 12 slices
2) 12 pizzas and with 10 slices
3) 336 slices of pizza

Statement #1:

Since there are 30 total pizzas then the amount of pizzas with 12 slices is 60% of 30 which is 18. Then you can multiply 18 by 12 to get the amount of slices in the large pizzas with 12 slices:

18 × 12 = 216

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

60% of the pizzas have 12 slices each. In total, there are 216 slices in these pizzas.

Statement #2

There are 12 remaining pizzas which means that 12 × 10 = 120 is the amount of slices in total of the smaller pizzas.

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

40% of the pizzas have 10 slices each. In total, there are 120 slices in these pizzas.

Statement #3

To get the total amount of pizzas you simply add both of the previous solutions:

216 + 120 = 336

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

Altogether, there is a total of 336 slices of pizza.

Johns made two 120 mile trips. He made his second trip in one hour less time than his first trip. The total time for the two trips was 9 hours. What was his average rate, in miles per hour, for the second trip?

Answers

Answer:

120 miles:4 hours

Step-by-step explanation:

Johns made

two 120 mile trips

there are a total of 2 120 mile trips

his second trip in one hour less time than his first trip. The total time for the two trips was 9 hours

9 hours = 4 hours + 5 hours (5 hours - 4 hours = 1)

What was his average rate, in miles per hour, for the second trip?

120 miles:4 hours  simplify to 30 miles:1 hour

Answer: this answer is 30 miles per 1hr so it took 4hr for the second trip

HAVE A GOOD DAY

Which expression can be used to find the surface area of the following triangular prism?

Answers

Answer:

132 cm^2

Step-by-step explanation:

Area of the two triangles + Area of the three triangles

2x1/2x3x4 + 5x10 + 4x10 +3x10 = 132 cm^2

The rules used in my answer are:

Area of the ∆ are Half x Base x HeightArea of the rectangle Length x Width

To find the area of the triangular faces use the formula A=1/2bh, where A= Area, b=base, and h= height

36. The top of a gazebo in a park is in the shape of a
regular pentagonal pyramid. Each side of the
pentagon is 10 feet long. If the slant height of
the roof is about 6.9 feet, what is the lateral
roof area?
A 34.5 ft2
B 50 ft2
C 172.5 ft2
D 250 ft2

Answers

Answer:

C. 172.5 ft²

Step-by-step explanation:

area of triangular roof piece is 1/2(10)(6.9) = 34.5

there are 5 of them so 34.5 x 5 = 172.5 ft²

PLEASE THIS IS REALLY IMPORTANT HELP!!!

Answers

Answer:

11) HEJ , 25°

12) JEK , 50°

13) JEF

14) DEF

Step-by-step explanation:

11)

Well angle HEJ by using the protractor has a angle measure of 25°.

12)

Angle JEK has a angle measure of 50°

13)

Angle JEF is a right angle because it has a measure of 90°

14)

Angle DEF is a straight angle because it has a angle measure of 180°

Hope this helps :)

Here the answer don’t be shy like the answers

Whats up with brainly and the answers loading is it only me? someone comment ways to fix or im screwed

Answers

Answer: it's not working on my laptop but it seems to be working on the phone right now

Answer:

can somebody help asap !!!

Step-by-step explanation:

What is the measure of XZ (the minor arc)?

A. 116
B. 290
C. 244
D. 58

Answers

Answer:

D

Step-by-step explanation:

The required measure of XZ (the minor arc) is 116. Option A is correct.

In the figure, a circle gave with 3 arc divisions XY, YZ, and XZ. And angle 58 at point y.

What is a circle?

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by. (x-h)²+(y-k)²=2 where h, k is the coordinate of the circle's center on the coordinate plane and r is the circle's radius.


Since by the property of the circle the angle subtended by arc to the vertex corresponding to the center is half the measure of the angle subtended by the arc to the center.
so, let the center of the circle is o.
Now,
measure of XZ = 2 * 58
                         =  116

Thus, the required measure of XZ (the minor arc) is 116.

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Write an equation of the line that satisfies the given conditions. Give the equation (a) in slope-intercept form and (b) in standard form.
Through (-2,4): perpendicular to x=8
(a) The equation of the line in slope-intercept form is_____.

Answers

Answer:

  y = 4

Step-by-step explanation:

The line x=8 is a vertical line. The perpendicular line will be horizontal, with a slope of 0. In order for it to go through the given point, the y-intercept must match the y-value of the point. The equation is ...

  y = 0x +4 . . . . . slope-intercept form with slope explicitly shown as 0

This simplifies to ...

  y = 4

which statements are true for the function g(x)=x^2 and h(x)=-x^2? check all tht apply

Answers

Answer:

where are the statements...

mention the statements first

ASAP!!! ON A TIME LIMIT!!!

Which expression is equivalent to 10k+17-7j-18-11k

-8jk-1

-7j-k-1

-7j+k+1

-8j-k

Answers

Answer:

-7j-k-1

Step-by-step explanation:

10k + 17 - 7j -18 -11k

10k-11k

-1k

17-18

-1

-7j-k-1

out of 40 coins, 16 are dimes. half of the remaining coins are quarters and the rest are pennies and nickles. these are 2 nickles for every penny. how many pennies are there?​

Answers

Answer: 4 pennies

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

Work Shown:

40 coins total

16 are dimes

40-16 = 24 coins are not dimes

Half of this is 24*(1/2) = 12 which are quarters. The other half (12) are pennies and nickels

n = number of nickels

p = number of pennies

This means n+p = 12 so that we have 12 pennies and nickels combined.

"There are 2 nickels for every penny", so we can write n = 2p. If p = 1, then n = 2. If p = 2, then n = 4, etc. Whatever p is, we double it to get n.

So,

n+p = 12

2p+p = 12

3p = 12

p = 12/3

p = 4, we have 4 pennies

n = 2p

n = 2*4

n = 8 and 8 nickels

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

Here are all the coin counts

16 dimes12 quarters8 nickels4 pennies

16+12+8+4 = 40 coins total

Answer:

Option (B) is correct, 4 pennies.

A certain forest covers an area of 1900km^2. Suppose that each year this area decreases by 7.75%. What will the area be after 14 years?

Answers

Answer:

Assume that 1900km^2 is 1900.

If that happens, The equation of that will look like...

1900 - (1900 x 7.75% x 14)%.

1900 x 7.75% are 147.25.

and 147.25 x 14 are 2061.5.

so... there will be no forest after 14 years.(harsh)

Hope it helps!

The area of the forest after 14 years would be 614.1617 km².

We have,

Let's denote the initial area of the forest as A₀ = 1900 km².

The decrease in the area each year is 7.75%, which means that the remaining area after each year is 92.25% of the previous year's area.

i.e

[tex]A_i= A_0[/tex] (1 - 0.0775)

where Aᵢ is the area after i years.

To find the area after 14 years.

A₁₄ = 1900 x [tex](1 - 0.0775)^{14}[/tex]

      = 1900 x 0.3232430884671

      = 614.1617 km²

Therefore,

The area of the forest after 14 years would be 614.1617 km².

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Help Help Help ! Math wiz

Answers

Answer:

This is not an exponential function because the variable is in the exponent position.

Does coordinate c or coordinate d represent a greater number?

Answers

Answer:

Coordinate d

Step-by-step explanation:

Answer: d is larger

c = -2 and d = -1

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

Explanation:

We have c = -2 as this is the same as the x coordinate of (-2,-1), which is the point directly below (c,5).

The point (3,d) is on the same horizontal level as (-2,-1), so the y coordinates must match up. We therefore have d = -1.

Comparing c = -2 and d = -1, we see that d = -1 is larger as it is to the right of -2.

Sean is raising funds for an event at his school. He has collected $25 each from x people, and he is still $100 short of his goal. The expression that gives his goal is

Answers

Answer:

25x + 100 = His goal

Step-by-step explanation:

He gets 25 from each person so the amount of people would be x and then you add 100 dollars for how much he still needs.

Y=25x +100, i think thats right not 100% sure though.

The reflection of a function ƒ(x) across the y-axis is represented as

Answers

Answer:

f(-x)

Step-by-step explanation:

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Determine the inequality represented by the following diagram please leave your footwear outside A 26-week-old baby was brought to the pediatric clinic because of increasing lethargy and cyanosis. The infant has been in good health at birth, and the mother had attempted breast-feeding. A blood sample was collected and a positive test for methemoglobinemia was obtained. The baby then was treated with intravenous ascorbate and methylene blue. Within 2 days the child was alert, and the cyanosis had disappeared. It is known that methemoglobin has absorption spectra maxima at 500 nm and 631 nm.Answer the following questions:a. What is the chemical difference between hemoglobin and methemoglobin, and how do their oxygen capacities compare?b. How do you analyze the sample blood to detect methemoglobin?c. What is the cause of the cyanosis associated with toxic methemoglobinemia?d. What is the biochemical basis for treatment of toxic methemoglobinemia with ascorbate and methylene blue? 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(Use 4000 miles as the radius of Earth and do not consider the effect of air resistance.) 7 metric ton rocket (a) How much work is required to propel the rocket an unlimited distance away from Earth's surface If the expected sales volume for the current period is 7,000 units, the desired ending inventory is 400 units, and the beginning inventory is 400 units, the number of units set forth in the production budget, representing total production for the current period, is Group of answer choices 7,000 7,100 6,700 7,400 2.When there is more water outside a cell than inside a cell, water willO move into the cell causing it to shrinkO move into the cell causing it to expandmove out of the cell causing it to shrinkmove out of the cell causing it to expand A ball is launched from the ground with a horizontal speed of 30 m/s and a vertical speed of 30 m/s. When will the ball hit the ground again? 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