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
Answers
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. :)
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
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!
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
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
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
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
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)
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]
Does someone know what the answer is? Please, help.
Answers
Answer:
III
Step-by-step explanation:
you got this, man! good luck [:
Express 60g as a percentage of 3kg?
Answers
Answer:
SOLUTION IS ON PICHOPE IT HELPS YOUMARK AS BRAINLIST ANSWERSam'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
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?)
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)
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
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.
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
simplify
x - ( - 6 x )
Answers
Answer:
7x
Step-by-step explanation:
Answer:
answer
x - ( - 6x )
x + 6x
= 7x
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
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
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
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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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.
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
========================================================
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).
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.
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
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)
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.
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.
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:
Can anyone solve this for me pls
Answers
Answer: I'm pretty sure the answer is 78.90
Step-by-step explanation: