Brad bought a piece of industrial real estate for $192,345. The value of the real estate appreciated a constant rate per year. The table shows the value of the real estate after the first and second years:

Year:
1
2

Value (in dollars):
$200,038.80
$208,040.35

Which function best represents the value of the real estate after t years?
A. f(t) = 200,038.80(1.04)^t

B. f(t) = 200,038.80(0.04)^t

C. f(t) = 192,345(0.04)^t

D. f(t) = 192,345(1.04)^t

Brad Bought A Piece Of Industrial Real Estate For $192,345. The Value Of The Real Estate Appreciated

Answers

Answer 1

Answer:

D. f(t) = 192,345(1.04)^t

Step-by-step explanation:

I took the test and it was right.

Also that is the original price and when you look at exponential functions, the starting point or original price is always first the then rate of increase. The table just shows how it increased in year 1 and 2.

Hope this helps. :)

Answer 2

A function assigns the values. The function that best represents the value of the real estate after t years is f(t) = 192,345(1.04)^t. Thus, the correct option is D.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

The initial cost of industrial real estate is $192,345, while the cost after one year is $200,038.80. Therefore, the rate of appreciation is,

[tex]\$200,038.80 = \$192,345(1+R)^t\\\\\$200,038.80 = \$192,345(1+R)^1\\\\\dfrac{\$200,038.80}{\$192,345}=(1+R)^t\\\\1.04 = 1 + R\\\\R = 0.04[/tex]

Hence, the function that best represents the value of the real estate after t years is f(t) = 192,345(1.04)^t. Thus, the correct option is D.

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Related Questions

Can someone help me with this?

Answers

Answer:

19.53

Step-by-step explanation:

First let's find the new price of the backpack:

40% of 29.99 is

29.99 * 0.40 = 11.99

So the new price of the backpack is

29.99 - 11.99 = 18.00

Now let's find the price with tax

8.5% of 18.00 is

18.00 * 0.085 = 1.53

So the cost of the backpack is

18.00 + 1.53 = $19.53

Answer:

$19.52

Step-by-step explanation:

29.99 x 0.60 = 17.994, (60% of 29.99)

1.085 x 17.994 = 19.52349 = $19.52 (2dp) , - (Add 8.5% Tax)

The area of a rectangle is represented by the function A = n^3 - 6n^2 - 8n + 48.
What is the perimeter of the rectangle? Describe how you found your answer.

Answers

Answer:

P = 2(n - 6) + 2(n^2 - 8)

Step-by-step explanation:

Remembering that Area = Length times Width, we factor the given function

A = n^3 - 6n^2 - 8n + 48 in the expectation that the resulting factors represent the length and width respectively:

A = n^3 - 6n^2 - 8n + 48 factors as follows:

A = n^2(n - 6) - 8(n - 6), or A = (n - 6)(n^2 - 8)

We can label '(n - 6)' "width" and '(n^2 - 8'

length.

Then the perimeter, P, of the rectangle is P = 2(length) + 2(width). which works out here to:

P = 2(n - 6) + 2(n^2 - 8)

If the area of a rectangular prism is represented by the volume -5x^5 - 1 and the height is 5x + 5, what is the area of the base in terms of x?

Answers

Answer:

= -5[tex]x^{4}[/tex] - 1/5

0r

-5[tex]x^{4}[/tex] - 0.2

Step-by-step explanation:

Volume of a rectangular prism = area of base x height

-5[tex]x^{5}[/tex] - 1 = 5x + 5 x area of the base

to determine the area of the base, divide both sides of the equation by (5x + 5)

area of the base =  (-5[tex]x^{5}[/tex] - 1)  / (5x + 5)

= -5[tex]x^{4}[/tex] - 1/5

0r

-5[tex]x^{4}[/tex] - 0.2

Linda is building steps for her porch. What is the volume of the first step?



Answer quick please!

Answers

Answer:

ok to do this we multiple 60 times 60 to get 3600

now we multiple this by 120

432000

now we divide this by 4

108000

so the volume of the first step is 108000 cm cubed

5x+y=1
10x-6=34
pleasee

Answers

Answer:

=>x=4

therefore y= -19

Answer:

x = 4, y = - 19

Step-by-step explanation:

Given the 2 equations

5x + y = 1 → (1)

10x - 6 = 34 → (2) , which can be solved as

10x = 40 ( divide both sides by 10 )

x = 4

Substitute x = 4 into (1) and solve for y

5(4) + y = 1

20 + y = 1 ( subtract 20 from both sides )

y = - 19

Solve the system of equations:

(1) x - y = 3

(2) 7x - y = -3

Answers

Answer:

x= 70

and y = 67 then

-70-67 =-3

Answer:

x=-1 y=-4

Step-by-step explanation:

answer is in the photo above

Express 60g as a percentage of 3kg?

Answers

Answer:

SOLUTION IS ON PICHOPE IT HELPS YOUMARK AS BRAINLIST ANSWER

Find the surface area of a water tower that is 40 feet tall and 20 feet across the base.
______ square feet​

Answers

Answer:

the surface area is 3140 square feet

Step-by-step explanation:

The computation of the surface area is given below:

Given that

Diameter = 20 feet

radius =  20 ÷ 2 = 10 feet

Surface area =  

= 2 × 3.14 × (10)^2 + 2 × 3.14 × 10 × 40

= 6.28  × 100  + 6.28  × 400

= 628 + 25.12  × 100

= 628+ 2512

= 3140 square feet

hence, the surface area is 3140 square feet

The surface area is 3140 feet².

What is Surface Area?

Surface area is the amount of space covering the outside of a three-dimensional shape.

Given that:

Diameter = 20 feet

radius =  20 ÷ 2 = 10 feet

Now, Surface area  will be,

=2πr²+ 2πrh

= 2 × 3.14 × (10)² + 2 × 3.14 × 10 × 40

= 6.28  × 100  + 6.28  × 400

= 628 + 25.12  × 100

= 628+ 2512

= 3140 feet²

hence, the surface area is 3140 feet².

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find the slope of the line represented by the data below

slope=

Answers

QUËSTIONS:- find the slope of the line represented by the data

ANSWER:-

[tex]SLOPE = \frac{y2 -y1}{x2 - x1} \\ SLOPE = \frac{3 - 9}{4 - 2} [/tex]

[tex]SLOPE = \frac{ - 6}{2} \\ SLOPE = - 3 \: \: ans[/tex]

Answer:

-3

Step-by-step explanation:

Slope(m)=-6/2

=-3/1

=-3

Hope this helps!

Use the explicit formula an = a1 + (n-1)•d to find the 500th term of the sequence below.
24, 31, 38, 45, 52, ...

Answers

Step-by-step explanation:

the answer is in the image above

Answer:

a₅₀₀ = 3517

Step-by-step explanation:

a₁ represents the first term and d the common difference

Here a₁ = 24 and d = 31 - 24 = 7 , then

a₅₀₀ = 24 + (499 × 7) = 24 + 3493 = 3517

An auditorium with 120 seats begins to fill 20 minutes prior to the start of a lecture. If it fills at a rate of 12 students per minute, what fraction of the seats are empty 12 minutes prior to the start of the lecture.

Answers

Answer:

Ok so there are 120 seats and we know that evrey minute for 8 minute 12 students enter and sit down so we multiple 12 times 8 to get 96.

so 96/120

48/60

24/30

12/15

so the answer is 12/15

Gabriela swam 84 lengths of the pool in 1 hour. Which table correctly shows equivalent ratios for this situation?​

Answers

very easy my friendStep-by-step explanation:

Saint Xavier school is the national swimming
champion. There are many students. The meet
results for the students is shown below. What is the
highest % of silver medal winners from the two
groups?
- 600 boys won a silver medal out of the 1500 boys.
- 750 girls won a silver medal out of the 1400 girls.

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

The Group Of Girls.

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the boys' percentage...}}\\\\\rightarrow \frac{600}{1500}\\\\\rightarrow 0.4\\\\\rightarrow 0.4 * 100\\\\\rightarrow \boxed{40\%}\\------------\\\boxed{\text{Calculating the girls' percentage...}}\\\\\rightarrow\frac{750}{1400}\\\\\rightarrow 0.53571428571...\\\\\rightarrow 0.53571428571... * 100\\\\\rightarrow \boxed{53.57\%}\\------------\\\\53.57\% > 40\%[/tex]

⸻⸻⸻⸻

The girls should have a higher percentage from the two.

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

In triangle XYZ, m∠Z > m∠X + m∠Y. Which must be true about △XYZ?

m∠X + m∠Z < 90°
m∠Y > 90°
∠X and∠Y are complementary
m∠X + m∠Y < 90°

Answers

Answer:

angle X + angle Y < 90°

Step-by-step explanation:

sum of angles of triangle is 180 ° ,

Answer:

because mZ > mX + mY

[tex] = > 18 0 - (mx + my) > mx + my \\ < = > 2(mx + my) < 180 \\ < = > mx + my < 90[/tex]

Which of the following is the line of symmetry for the figure shown below?
B.
A. Line A
O
B. Line B
C. Line C
O D. This figure is not symmetrical.

Answers

Answer:

Line A

Step-by-step explanation:

A line of symmetry is a line that divides a shape into exactly two equal halves.

A triangle is a polygon with three sides and three angles. A scalene triangle has no lines of symmetry, an isosceles triangle has more than one line of symmetry while an equilateral triangle has three lines of symmetry.

From the diagram we can see that line A divides the figure into two equal halves, hence line A is the line of symmetry.

simplify

x - ( - 6 x )​

Answers

Answer:

7x

Step-by-step explanation:

Answer:

answer

x - ( - 6x )

x + 6x

= 7x

2/3 of a class are girls.
a) What is the ratio girls to boys in the class?
b) What is the ratio boys to girls in the class?

Answers

1/3 of the class are boys
a) 2:3
b) 1:3
2/3 of the class are girls, so 2:3. That leaves 1/3 of the class as boys, so 1:3 ratio.

Please Help? For the function f(x) = 2|x – 1|, what is the average rate of change over the interval –1 ≤ x ≤ 1?
average rate of change:__

Answers

Answer:   -2

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

Explanation:

Plug in x = -1 to find that

f(x) = 2|x-1|

f(-1) = 2|-1-1|

f(-1) = 2|-2|

f(-1) = 2*(2)

f(-1) = 4

If you repeat for x = 1, you should find that f(1) = 0

--------

Now use the average rate of change formula below. Effectively, we're using the slope formula more or less.

[tex]m = \frac{f(b)-f(a)}{b-a}\\\\m = \frac{f(1)-f(-1)}{1-(-1)}\\\\m = \frac{0-4}{1+1}\\\\m = \frac{-4}{2}\\\\m = -2\\\\[/tex]

The average rate of change on this interval is -2

This is the same as finding the slope through the points (-1, 4) and (1, 0).

Find the value of x in the given
right triangle.
12
x = [?]

X
62°
Enter your answer as a decimal rounded to the
nearest tenth.

Answers

Answer:

You divide 62/12=5.166

The ratio of teachers to students at Happy Hill School is 2:29 , which means that for every 2 teachers there are students. There are 7 doctors and 27 nurses at Happy Hill Hospital. The ratio of doctors to nurses is, therefore, 7 7:_.

Answers

There fore the ratio of doctor to nurses is 7:27

Sam's Sweet Shoppe sells candy in bags of 30 pounds and bags of 50 pounds. Last week, Richard bought 300 pounds of candy for a birthday party from Sam's Sweet Shoppe. If at least one 30 pound bag of candy and at least one 50 pound bag of candy were purchased, what is the number of the 30 pound bags purchased?

Answers

Answer:

5

Step-by-step explanation:

30 x 5=150

then you buy 3, 50 pound bags: 3 x 50= 150

150+150=300

Answer:

5

Step-by-step explanation:

five is the only number(less then 10) that you can multiply by 30 to get a multiple of five

30x5=150

then you buy 3, 50 pound bags: 3x50= 150

150+150=300

Use the following to write and solve a proportion to find the values of X, Y and Z. ​

Answers

Answer:

x = 48-32 = 16

y = 32/16 × 10 = 20

z = 48/32 × 26 = 39

Can you guys help me pleaseeeee!

Answers

Answer: A) True

Step-by-step explanation:

GF and KJ are marked with one dash indicating the are congruent. Same for FH and JL but this time it's marked with 2 dashes. Angles F and J are congruent because they are both right angles. So, we have a side congruent an angle congruent and a side congruent. We can use SAS to say they are congruent.

(Brainliest?)

Factorize 24x3y2 – 12x2y ASAP

Answers

Answer:

12x²y(2xy - 1)

Step-by-step explanation:

Given

24x³y² - 12x²y ← factor out 12x²y from each term

= 12x²y(2xy - 1)

Jasmine used the number line to find the distance between 0 and 5. What was Jasmine’s error? Jasmine should have counted from 5 to 0. Jasmine started with the wrong integer. Jasmine gave a negative answer for distance. Jasmine ended with the wrong integer.

Answers

Answer:

The answer is "Option C".

Step-by-step explanation:

In this question, the distance value is -5 that's why option c is correct.

Answer:

C. Jasmine gave a negative answer for distance.

A side of the triangle below has been extended to form an exterior angle of 62°. Find the value of x

Answers

Answer:

16 degrees

Step-by-step explanation:

62= 46+x

16=x

asap plz give answer

Answers

Answer:

B) Rotation

Step-by-step explanation:

The arrows at the end of each line imply a line, not a line segment. Since the they both pass through the origin, they rotate about the origin, hence B) Rotation.

Answer:

A I'm about 89% certain that's a vertical translation

Can anyone solve this for me pls

Answers

Answer: I'm pretty sure the answer is 78.90

Step-by-step explanation:

help plss i don't get it can yall plz help

Answers

Answer: 24, b

Step-by-step explanation:

So it said "In the Math Club", 67% are not in the literature club. We also know that this 67% is 16 people.

Now we can set up an equation to find the total number of people in the math club. Let's say the total number of people in the Math club is x, so 0.67x = 17, and x = 25.37 rounded. So if 25 people in total, 16 not in the literature club, then that means 25-16 = 9 people are in both the Math club and the Literature club.

So of the students "Not in the Math Club", it said that 78 percent are not in the Literature Club. This means 22 percent are in the literature club. We also know 4 people are in the literature club.

Now we can set up an equation to find the total number of people not in the math club. Let's say the total number of people not in the Math club is x, so 0.22x = 4, x = 18.18 rounded. So if 18 in total, 4 in the literature club, than 14 not in the literature club.

Since x = 9, and y = 14, x+y will equal 23, rounding up to 24 since we rounded down the total number of people.

Does someone know what the answer is? Please, help.

Answers

Answer:

III

Step-by-step explanation:

you got this, man! good luck [:

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