A $20,000 business computer depreciates at a rate of 15% per year. What equation would model the value of the computer?
Answers
Answer:
\(A = 20,000(0.85)^t\)
Step-by-step explanation:
We will use the formula for compound interest here
where \(A = p( 1 + r)^t\)
A=future value for any sum
P=present value of the sum
r= yearly interest rate, it should be expressed in decimal
t=time period , it should be in years
______________________________
given in the problem
p = $20,000
r = 15% (in decimal 15/100 = 0.15)
t is the time for which equation is to be model to find future value p
since, rate is for depreciation we need to take negative value of rate as value for computer will decrease
thus
r = -0.15
using the above values in formula \(A = p( 1 + r)^t\)
\(A = p( 1 + r)^t\\A = 20,000(1 - 0.15)^t\\A = 20,000(0.85)^t\)
Thus, model equation for the value of the computer is \(A = 20,000(0.85)^t\)
Related Questions
please do all of the parts,, im begging
Use this scenario to answer questions #1-11: Jenny wants to rent a truck. She contacted two companies. Laguna’s Truck Rentals charges $6 for the truck and $2 per mile. Salvatory’s Truck Rentals charges $3 per mile.
1. Identify the independent variable
2. Identify the dependent variable
3. Create an equation to represent the total cost for Laguna’s Truck Rentals.
4. Create an equation to represent the total cost for Salvatori’s Truck Rentals.
5. Select the graph below that best represents the relationship between Laguna's and Salvatory's Truck Rentals. (please see image)
6. Identify and interpret the meaning of the slope for Laguna’s Truck Rentals.
7. Identify and interpret the meaning of the slope for Salvatori's Truck Rentals.
8. Identify and interpret the meaning of the y-intercept for Laguna’s Truck Rentals.
9. Identify and interpret the meaning of the y-intercept for Salvatori's Truck Rentals.
10. Identify and interpret the meaning of the point of intersection.
11. Which of these graphs represents a proportional relationship and why?
if you actually did all of them im giving you a hug.
Answers
Answers:
1. Miles driven
2. Price of rental
3. y = 2x + 6
(The fixed/initial cost is b, the y-intercept. The 2 is the price per mile and the x is the miles driven.)
4. y = 3x
(Since there's no initial cost, the equation is simply 3 times x)
5. A
6. The slope for Laguna is 2. This is the price per mile.
7. The slope for Salvatori is 3. This is the price per mile.
8. The y-intercept for Laguna is 6. This is the initial, fixed cost of renting a truck.
9. The y-intercept for Salvatori is 0. This means there is no initial cost.
10. The point of intersection is the amount of miles driven at which both companies are the same price. If Jenny drives 6 miles, she'll pay $18 either way.
11. I don't know how to do this one, sorry! >_<
I hope I helped on 1-10!
please help I dont know how to do this.
Answers
Answer: The expression would be 2b+7
Step-by-step explanation:
b will be the number of blue beads for the bracelet.
The number of red beads will be represented as b + 7.
Determine the expression for the total number of beads.
Then we can written it as,
= b + (b +7)
= 2b + 7.
:)
please help me i will give brainliest to first person to anwser.
Answers
First we start with the formula for cylinders v=(pi)r(squared)h filled in Thats v=(3.14)(8 squared) (8) which brings us to the answer 1607.68 but you must round to the nearest tenth aka 1607.7
Answer:
The first option, V ≈ 1607.7 in²
Step-by-step explanation:
Find the volume of the given cylinder.
\(\begin{center}\framebox{\parbox{4cm}{\textbf{Volume of a Cylinder:}\\[2ex]The volume of a cylinder with radius $r$ and height $h$ is given by the formula:\\[2ex]\center{$V = \pi r^2 h$} \\ \\}}\end{center}\)
Given:
r = 8 in
h = 8 in
π = 3.14
Find:
V = ?? in³
\(\hrulefill\)
Now solving,
Substitute the given values into the formula:
=> V = (3.14)(8)²(8)
Using a calculator to simplify:
=> V = 1607.68 in²
Rounded to the nearest tenth:
∴ V ≈ 1607.7 in²
Thus, the first option is correct.
Use the best-fit line below to predict the value of y when x = 7
Answers
Answer:
the answer is 6 because when x=7 on the line it is also equal to 6 on the y axis
Helen is swimming in a lake when she decides she wants her goggles. To get the goggles she swims at a steady pace back to a floating dock. She starts 52 m from the dock. The graph shows Helen's distance from the dock in relation to the time spent swimming back.
Let x represent the time swimming back to the dock. Let y represent the distance from the dock. Which equation is represented by the graph?
Question 5 options:
y = 20x – 52
y = 32x + 52
y = –20x + 52
y = –32x – 52
Answers
Answer: y=32x+52
Step-by-step explanation: i took the test lol
Answer:
y=32x+52
Step-by-step explanation:
EDGE
A teacher was interested in the cafeteria food that students preferred in a particular school. She gathered data from a random sample of 200 students in the school and wanted to create an appropriate graphical representation for the data.
Which graphical representation would be best for her data?
Stem-and-leaf plot
Line plot
Histogram
Box plot
Answers
Answer:
histogram would seeming be the best one please let me know if I got it wrong though
Answer:
Histogram
Step-by-step explanation:
A histogram is a bar graph that shows the frequency DATA values in the INTERVALS.
Your fitness tracker overestimates the number of steps you take by 5%. The trackers indicates that you took 7350 steps today. Write and solve an equation to find the actual number of steps you took today.
Answers
The equation (1 + 0.05)x = 7350 to find the actual number of steps you took today will be 7,000.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.
Your fitness tracker overestimates the number of steps you take by 5%. The trackers indicate that you took 7350 steps today.
Let x be the actual number of steps. Then the equation will be given as,
(1 + 0.05)x = 7350
x = 7350 / 1.05
x = 7,000
The actual number of steps you took today will be
(1 + 0.05)x = 7350
x = 7350 / 1.05
x = 7,000
The equation (1 + 0.05)x = 7350 to find the actual number of steps you took today will be 7,000.
More about the percentage link is given below.
https://brainly.com/question/8011401
#SPJ2
a ladder is 13 feet long and leans up against he side of a house. the house and the ground form a right angle. The bottom of the ladder is 5 feet from the house.
what is the distance between the ground and the top of the ladder, in feet?
Answers
This theorem states that \(a^2+b^2=c^2\), where c is the hypotenuse of a triangle and a and b are the legs (the other two sides).
SolutionAs we can see from the image, we are given the lengths of the hypotenuse and one of the legs. Now, we must find x, the length of the other leg.
\(a^2+b^2=c^2\)
Plug in the given lengths:
\(5^2+b^2=13^2\)
Solve for b:
\(b=-12,12\)
Since length cannot be negative, we know that b must be equal to 12.
Answer
x = 12 ft
The Pythagorean Theorem
This theorem states that , where c is the hypotenuse of a triangle and a and b are the legs (the other two sides).
Solution
As we can see from the image, we are given the lengths of the hypotenuse and one of the legs. Now, we must find x, the length of the other leg.
Plug in the given lengths:
Solve for b:
Since length cannot be negative, we know that b must be equal to 12.
Answer
x = 12 ft
1 Foot = how many cm
Answers
Step-by-step explanation:
1 Foot = 30.48 cm........
A local animal rescue has 20 people that help foster pets while they are
waiting on finding their homes. They expect to gain two additional people
willing to foster animals each month. The amount of animals in need of
homes in the community is currently 10 and growing at a rate of 15% per
month. When will the amount of homeless pets surpass the amount of foster
homes available?
A) Write the two functions that represent this situation.
B) Create a table of values for x=0 to x=13.
C) Approximate the solution(s). Why is this the approximate solution?
D) Using graph paper (and the table of values), sketch the situation to
show the exact solution.
Answers
Answer:
A) Let f(x) represent the number of foster homes available after x months, and let g(x) represent the number of homeless pets after x months.
f(x) = 20 + 2x (since 2 additional people are expected to foster each month)
g(x) = 10(1.15)^x (since the number of homeless pets is growing at a rate of 15% per month)
The crowd at a soccer game is estimated to be 1,200 people. The exact attendance is 1,280. What is the percent error?
Answers
Answer:
56.25%
Step-by-step explanation:
[estimated - actual] / actual × 100
3000 - 1280/1280 x 100 = 56.25%
Answer:
56.25%
Step-by-step explanation:
50 points find the area
Answers
Answer:
B. 84 in²Step-by-step explanation:
Split the area into two sections by extending 6 in segment.
We get a rectangle of 5 in x 10 in and a trapezoid.
Rectangle:
A = wlA = 5*10 = 50 in²Trapezoid:
A = 1/2(b₁ + b₂)hA = 1/2((15 - 5) + 7)*(10 - 6) = 1/2*17*4 = 34 in²Total area:
50 + 34 = 84 in²Chelsey is repairing her iPad and needs to tighten a screw that holds the battery in. She tried a 3/4 mm screwdriver, which was too large, and a 1/2 mm screwdriver, which was too small. Which of the following screwdrivers might fit the screw?
Answers
Answer:ask Siri
Step-by-step explanation:
But it is 8mm
A change in temperature of 6°C is equivalent to a change in temperature of
°F.
Answers
Answer:
42.8 Farenheit
What is the mode of this data set: 17, 13, 18, 20, 17, 15, 12
A)19
B)17
C)16
D)20
Answers
Answer:
17
Step-by-step explanation:
it occurs the most number of times
Answer:
17
Step-by-step explanation:
mode = most occuring number in a data set
Write the expression:
subtract 10 from r, then double the result
Answers
Answer: (q + 10) - r
Step-by-step explanation:
2(r-10)
(6.4 × 103) ÷ (3.2 × 102)
Express your answer in scientific notation.
A.2 × 101
B.2 × 102
C.2 × 105
D.2 × 106
Answers
Step-by-step explanation:
step 1. 6.4 x 103 = 659.2
step 2. 3.2 x 102 = 326.4
step 3.
\(659.2 \times 326.4= 2.01960784314\)
step 4. 2.01960784314 = 2.01960784314 x 10 ^ 0 or 2.01960784314 x 1
i hope this helps sorry i could not give the exact answer you were looking for = ) <3
What is the perimeter of this composite shape? ___ ft.
Use 3.14 for "pi" and round to the nearest hundredths place.
Answers
Answer:
55.1 ft
Step-by-step explanation:
4 + 4 + circumference of the circle
Formula for circumference of a circle is 2 · π · radius, but can also be written as π · diameter
4 + 4 + (15 · π)
4 + 4 + (15 · 3.14)
4 + 4 + 47.1
8 + 47.1
55.1
Use the elimination method to solve the system of equations. Choose the correct ordered pair. 5x - 2y = 9 3x + 4y = - 5 O A. (5, - 5) O B. (1, - 2) OC. (7, 13) D. (3, 3)
Answers
Answer:
Step-by-step explanation:
4(5x-2y=9)
-2(3x+4y=-5)
20-20x-8y=36
+6x-6x-8y=10
36-20x=10+6x-6x
36-36-20x-6x=10
-26x=10-36
-26x/-26=-26/-26
x=1
Which expression is equivalent to 2E-3/2E-5
a. 2E2
b. 1/2E2
c. 2E8
d. 1/2E8
E=exponent
Answers
Answer:
a 2E2
Step-by-step explanation:
\(\frac{2^{-3} }{2^{-5} }\) When powers have the same bases and you are dividing, you subtract the exponents.
\(2^{-3 - -5}\) = \(2^{-3+5}\) = \(2^{2}\)
if you can pls answer any of these 6-10 plz do it would really help
(pic below)
Answers
Answer: the first one is $0.35
price per apple
Answer:
alexis: 7/12
tom: 12
Naomi: 21.55
Kevin: 41.657
beef= 11.99 x 2 1/2= 29.975
chicken= 6.49 x 1.8= 11.682
29.975+ 11.682= 41.657
local store: each apple is .35
Step-by-step explanation:
06.02)A six-sided number cube labeled 1 through 6 is rolled 600 times. An odd number is rolled 272 times. Compare the experimental probability of rolling an odd number with the relative frequency of rolling an odd number and select one of the statements below that best describes the situation.
The experimental probability and relative frequency are the same.
The experimental probability is larger than the relative frequency.
The experiment probability is smaller than the relative frequency.
There is not enough information to determine the relative frequency.
Answers
Answer:
Relative frequency is defined as the number of "desired" results ... A six-sided number cube labeled 1 through 6 is rolled 600 times. An odd number is rolled 272 times. Compare the experimental probability of rolling an odd number with ... of rolling an odd number
Step-by-step explanation:
Answer:
The experimental probability and relative frequency are the same.
Step-by-step explanation:
hope this helps!!!!!!!!!!
If f(x)=6x+1 and g(x)=6(x - 3) +1, how does the graph of g(x) compare to the graph of f(x)?
Group of answer choices:
the graph of g(x) is the graph of f(x) shifted down 3 units
the graph of g(x) is the graph of f(x) shifted right 3 units
the graph of g(x) is the graph of f(x) shifted up 3 units
the graph of g(x) is the graph of f(x) shifted left 3 units
Answers
Answer:
on mine answer B was correct
Step-by-step explanation:
Which of the following verbal sentences expresses the
algebraic inequality below?I WILL MARK BRAINLIEST
2x + 4 < 8 + 4x
A. The quotient of two and a number, plus four is
less than eight more than the product of four and
a number.
B. The difference of two times a number and four is
less than the sum of eight and the product of four
and a number.
C. Four less than the product of two and a number
is less than the sum of eight and four times a
number.
D. Four more than the product of two and a number
is less than the sum of eight and four times a
number.
Answers
Answer:
Its D
Step-by-step explanation:
↖(^ω^)↗
And here are the answer choices
A. f (x) = 6x^1.5
B. f (x) = 6(2/3)x
C. f (x) = 6(1.5)x
D. f (x) = 3/2(6)x
Answers
can someone please help me,
Answers
Answer 6
Step-by-step explanation: just right
Answer:
The first picture should be a and the second picture should be b.
goodluck
-22 = -2 + 4x
helppp
Answers
Answer:
Step-by-step explanation:
-22 = -2 + 4x
-22+2=4x
-20=4x
-20/4=x
-5=x
x=-5
X=-5
Explanation
1. Add 2 to both sides of the equation
-20=4X
2. Divide both side by 4
-5=x
X=-5
Liz had 200 game tokens for the Neon Arcade. Each game cost 3 tokens. She played 15 games. How many tokens does she have left?
Question 8 options:
150
155
185
145
Answers
Answer:
155 tokens left
Step-by-step explanation:
200 - (3x15)
= 200 - 45
= 155
What is the area of the figure shown?
Answers
3.5x6=21
21+4.5=25.5
How can I find the cube root of 64?
Answers
Answer:
4
Step-by-step explanation:
The cube root of 64 is the number which when multiplied by itself three times gives the product as 64. Since 64 can be expressed as 2 × 2 × 2 × 2 × 2 × 2. Therefore, the cube root of 64 = ∛(2 × 2 × 2 × 2 × 2 × 2) = 4.
The cube root of 64 is 4.
Before solving the question, let's understand the concept of cube root.
The cube root of a number is the value obtained by multiplying it by itself three times or thrice. When we multiply 3 by itself three times, we get 3 x 3 x 3 = 27 = 3³, so the cube root of 27 is 3. Thus, we can say that the cube root gives a value that is basically cubed.
The cube root is denoted by ∛
Now, we will find the cube root of 64.
Firstly, we have to find factor 64.
64 = 2 × 2 × 2 × 2 × 2 × 2.
64 = ∛4³
64 = 4
Therefore, the cube root of 64 is 4.
To know more about cube root:
https://brainly.com/question/12105008