An antique chair was purchased in the year 2013 for $500. At the time of purchase, an appraiser estimated that the value would increase by 10% per year. According to the appraiser's estimate about the value of the chairwhich statements are true?

Select ALL that apply

A. Alinear model provides the best of the estimated values.

B. The value will increase by 30% in the first 3 years.

C. After 2 yearsthe value will be $605.

D. The rate of change of the value will decrease over time

E.The value will increase by $50 in the first year

Answers

Answer 1

Answer:

C and E

.................

Answer 2

The true statements are (C) After [tex]2[/tex] years the value will be $[tex]605[/tex]  and (E) The value will increase by $[tex]50[/tex] in the first year.

Compound Interest:

Compound interest (or compounding interest) is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods.

In the first year, the value[tex]=[/tex] $[tex]500+500\times \frac{10}{100}[/tex]

                                         [tex]=500\left ( 1+\frac{10}{100} \right ) \\ =\left ( 500\times 1.1 \right )[/tex]

                                         [tex]=[/tex]$[tex]550[/tex]

Change in price=$[tex]50[/tex]

After 2 years, the price is=$[tex]550+[/tex]$[tex]550 \times\frac{10}{100}[/tex]

                                         =$[tex]550\times(1+\frac{10}{100} )[/tex]

                                         =$[tex]550\times(1.1)[/tex]

                                         =$[tex]605[/tex]

After 3 years, the price=$[tex]605+605\times\frac{10}{100}[/tex]

                                      [tex]=605(1+\frac{10}{100} )[/tex]

                                      [tex]=(605\times1.1)[/tex]

                                      [tex]=[/tex]$[tex]665.5[/tex]

Rate of change[tex]=\frac{(665.5-500)}{500} \times100[/tex]%

                        [tex]=\frac{165.5}{5}[/tex]%

                        [tex]=33.1[/tex]%

                        [tex]\neq 30%[/tex]%

According to the problem, an exponential pt model provides the best fit.

Therefore, the true statements are an option C and E.

Learn more about the topic Compound Interest: https://brainly.com/question/26574136


Related Questions

Find the lateral area of this cone. Leave your answer in terms of pi.
25 cm
8 cm

Answers

Answer:

200

Step-by-step explanation:

pi · radius · height

3.14 · 8 · 25 = 200

The formula for any geometric sequence is an = a1 · rn - 1, where a n represents the value of the n th term, a1 represents the value of the first term, r represents the common ratio, and n represents the term number. What is the formula for the sequence -3, -6, -12, -24, ...?

an = -2 · (-3) n - 1
an = 2 · (-3) n - 1
an = -3 · 2 n - 1
an = -3 · (-2) n - 1

Answers

Answer:

C

Step-by-step explanation:

The formula for any geometric sequence is:

[tex]a_n=a_1\cdot r^{n-1}[/tex]

Where aₙ is the value of the nth term, a₁ is the value of the first term, r represents the common ratio, and n represents the term number.

We want the formula for the geometric sequence:

-3, -6, -12, -24, ...

Note that our first term is -3. Hence, a₁ = -3.

Next, each subsequent term is twice the previous term. Hence, our common ratio r = 2.

Therefore, by substitution, we acquire:

[tex]a_n=-3\cdot (2)^{n-1}[/tex]

Our answer is C.

Use trigonometry to find the missing side. Round your answer to the nearest tenth (one decimal place)

Answers

Given:

A figure of a right triangle.

To find:

The missing side by using the trigonometric ratios.

Solution:

In a right angle triangle,

[tex]\cos \theta=\dfrac{Adjacent}{Hypotenuse}[/tex]

In triangle ABC,

[tex]\cos A=\dfrac{AC}{AB}[/tex]

[tex]\cos (31^\circ)=\dfrac{b}{270}[/tex]

[tex]0.857=\dfrac{b}{270}[/tex]

Multiply both sides by 270.

[tex]0.857\times 270=b[/tex]

[tex]231.39=b[/tex]

[tex]b\approx 231.4[/tex]

Therefore, the missing side length is b=231.4 inches.

The value of a certain car after t years is modeled by the expression 15.00000.78. What are the initial cont, I, and the rate of depreciation, r, of this car
$10.500./ 30%
110,500./ 70%
1$ 15,000./ 30%
$15,000./ 70%

Answers

Answer:

15,000,r=30%

Step-by-step explanation:

What is the value of the 11th term in the sequence -3, -6, -12, -24, ...?

-6,144
-118,098
-3,072
-354,294

Answers

Answer:

3072

Step-by-step explanation:

double the number until the 11th time which would be -3072 so C

Jim is 5 feet tall. What is his height in inches?
Helppppppp

Answers

Answer:

5 feet = 60 inches

Step-by-step explanation:

Every foot is 12 inches, so.. this problem can be turned into simple multiplication..

12 x 5= 60

So, Jim is 60 inches tall.

Hope this helps! :)

Have a nice day!♥

Combine Like Terms 4a + 7a

Answers

4a+7a= 11a
There alike terms

Answer:

[tex]11a[/tex]

Step-by-step explanation:

[tex]4a + 7a = 11a[/tex]

Hope this helps you

Can I have the brainliest please?

I am so smart lol lol lollololololololololollololololololollolololololollololo

Answers

Answer:

2. c. 1/2

3. d. 13/16

5. d. 5/12

1. b. simplified

4. b. Nicholas did not divide the numerator and..............

Answer:

i know it’s been months since you posted this question but...

Step-by-step explanation:

2. c) 1/2, 9/18 / 9 = 1/2

3. d) 13/16, 26/32 / 2 = 13/16

5. d) 5/12, 10/24 / 2 = 5/12

1. b) simplified, you can’t simplify 8/9, it’s already smaller.

4. b) Nicholas did not divide the numerator and denominator by the same number, the GCF [greatest common factor]. 4/5 is not equivalent to 20/30. He should have divided by 10. 20/30 = 2/3.

why does that say 20/24 tho?- i think it meant 20/30.

i hope this helped! also, a definition of gcf:

GCF - A set of numbers' greatest common factor (GCF) is the largest factor that all of the numbers share. Twelve, twenty, and twenty-four, for example, all have two common factors: two and four. The GCF of 12, 20, and 24 is 4 since the highest is 4. The GCF method is often used to identify common denominators.

What 3D solid does this net create​

Answers

I think it makes a square cuz it do be looking like a square

Answer:

cuboid.

................

A parallelogram has an area of 37.72 m² and a height of 4.6 m.

How long is the base of the parallelogram?

Enter your answer as a decimal in the box

Answers

Answer:

8.2m

Step-by-step explanation:

Formula : Area = base x height

rearrange : Base = area ÷ height

37.72÷4.6=8.2m

Answer:

8.2

Step-by-step explanation:

If the total cost is $30, use your expression to determine the cost per person.

Answers

Answer:

Well, how many people are there?

Step-by-step explanation:

We can't solve this without the number of people.

a spinner with four equal-size sections marked M, A, T, and H is spun 100 times. The results are shown below.

What is the theoretical probability of landing on T?

What is the experimental probability of landing on a consonant?

Compare the theoretical probability to the experimental probability of landing on H.

Answers

Answer:

there's four of them so it's a movie 25 / 100 would be the probability of landing on them

The experimental probability of landing on a consonant is more than the theoretical probability of landing on T because P(T) = 1/4 is less than P(Consonant) = 79 / 100.

What is probability?

The probability is given as,

P = (Favorable event) / (Total event)

A spinner with four equal-size sections marked M, A, T, and H is spun 100 times. The results are shown below.

Section       Frequency

   M                    28

   A                     21

   T                     26

   H                    25

The theoretical probability of landing on T will be given as,

P(T) = 1/4

P(T) = 25/100

The experimental probability of landing on a consonant is given as,

P(Consonant) = 79 / 100

The experimental probability of landing on a consonant is more than the theoretical probability of landing on T.

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ2

h(t)=-16t^2+80t+64 after 40 feet off the ground

Answers

Answer:

Part A) The potato hit the ground at t=5.70 seconds (see the explanation)

Part B) The potato is 40 feet off the ground at the time t=5.28 seconds (see the explanation)

Step-by-step explanation:

find the measure of each angle with an expression.

there should be 2 answers.

PLS HELP​

Answers

= -4x + 5 + ( -13x + 39 ) = 180 ( co - interior angle )= -4x + 5 - 13x + 39 = 180 = -4x - 13x + 5 + 39 = 180= -17x + 44 = 180= -17x = 180 - 44= -17x = 136= x = 136 / 17= x = 8Therefore angles are :--27 , -65

ABC Bank requires a 20% down payment on all of its home loans. If a house
is priced at $145,000, what is the amount of the down payment required by
the bank?
O A. $290,000
O B. $18,000
O C. $29,000
O D. 814,500

Answers

I think it is A hope it correct
the answer to the question is A

Plz help this is 400 points. Nancy bought a Reuben sandwich and received her change in several coins. The cashier handed Nancy 2 half dollars, 3 quarters, 4 dimes, 4 nickels, and 1 penny. How much money did Nancy get in change? explain in two sentence

Answers

Answer: After Nancy bought the sandwich, the cashier handed back $2.36

Step-by-step explanation:

Help me please & Thx
Not really understanding
If you help me i can help you :>
THANKS <3

*BTW this is pre-algebra*

Answers

Answer: 16 times 20 is 320

Step-by-step explanation: 1 floor is 16 feet. Because of 32/2 to find the rate

Answer is letter: C

subtract (-4305) from |(-2508)+(-3502)|​

Answers

answer:

10315

I used a calculator

step by step

(- 4305) - |(-2508) + (- 3502)|

Rewrite

Remove the parentheses

4305 - |

Calculate

4305 - |

- 2508 - 3502

- 6010

Calculate the absolute value

- 4305 - 6010

Calculate

Solution

- 10315

Mark was thinking of a number. Mark subtracts 6.2 from the number and gets an answer of 68. Form an equation with
x
from the information.

Answers

Answer:

X= 6.2 + 68 ???

Step-by-step explanation:

I'm not sure that's what I would write in an exam

Mr.Falcons pizza shop offers two sizes of pizza. The XL large and XXL pizza with diameters of 20 inches and 22 inches. What is the difference between the two pizza?

Answers

Answer:

one is 2 inches bigger that the other.

Step-by-step explanation:

becuase if one of the pizza is 20in ans the other is 22 the 20 on is only 2in away frof the XXL pizza .

What does this question equal: x + 11 < 20

Answers

Any number below 9.


True or False: This data set represents a function.
{(-5, 8), (-6, 2).(-2,-6), (-1, 8), (4, 6)}
True
False

Answers

Answer:
True


Explanation:
Each of the outputs got their own input but the inputs share a output

Solve for [x]. The pair of polygons are similar.
The scale factor from A to B is 1:2

Answers

Answer:

13

Step-by-step explanation:

what is the answer for number 1?

Answers

Answer:

28.26

Step-by-step explanation:

A = pie x radius*2

The radius is 3, and pie is 3.14. This means the equation is

A = 3.14 x 3*2

3*2 is just 3 x 3, which is 9.

9 x 3.14 = 28.26


The prism shown has a volume of 35 cm^3
Work out h, the height of the triangular cross section.
Length =7 cm
Base=4 cm

Answers

Answer:

[tex]Height = 2.5[/tex]

Step-by-step explanation:

Given

[tex]Volume = 35[/tex]

[tex]Length =7[/tex]

[tex]Base=4 cm[/tex]

Required

Determine the height

The volume is calculated as:

[tex]Volume = Height * Base\ Area[/tex]

Since, it has a triangular cross-section, the expression becomes:

[tex]Volume = Height * \frac{1}{2} * Base * Length[/tex]

So, we have:

[tex]35 = Height * \frac{1}{2} * 4 * 7[/tex]

[tex]35 = Height * 14[/tex]

[tex]Height = 35/14[/tex]

[tex]Height = 2.5[/tex]

The value of the 6 in the number 60,324 is how many times greater than the value of the 6 in the number 4,621​

Answers

100 hundred times larger

Stephen has $157.92 in his savings account. He deposited d more dollars into his account after receiving a gift from his grandmother. Enter an equation that represents the total amount of money, t, Stephen now has in his savings account.

Answers

Answer:

157.92 + d =t

Step-by-step explanation:

Laura says her triangle has angle measures of 100', 88°, and 72°.

Answers

Answer:

First, realize that angle ABC is the sum of the two other angles. Hence, form an equation in which you subtract the measure of one of the angles from angle ABC to get the measure of the other angle -- the one you are solving for.

Step-by-step explanation:

Mark me brainly please hop this helps.

determine whether the data in the table display exponential behavior. Explain why or why not
please help

Answers

Answer:

A

Step-by-step explanation:

Which of the following theorems verifies that GHI = UVW

Answers

Correct Answer: C / AA

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