1) Mr. Rios bought a house in 1960 for $20,000. The value of the house increased by
approximately 5% each year. Which of the following equations will give the value, A, the
approximate value of the house after x years?
A- A = 20000(0.5)*
B- A = 20000(1.5)
C- A = 20000(0.05)
D- A = 20000(1.05)*

Answers

Answer 1

Answer:

A = 20,000(1.05)^x

Step-by-step explanation:

To get the approximate value of the house after x years, we will use the compound interest formula

A  = P(1+r)^n

P is the principal = $20,000 (cost of house)

r is the rate = 5% = 0.05

x is the time

Substitute into the expressio

A = 20,000(1+0.05)^x

A = 20,000(1.05)^x

Hence the required expression is A = 20,000(1.05)^x


Related Questions

Let f(x) = square root 7x and g(x)= x-5. whats the smallest number that is in the domain of f ° g ?

Answers

check the photos they have the answer

Twice a number a is less than 3 write the sentence as an inequality pls help

Answers

writing sentence as an inequality

how to write

a.)  " A number n is less than or equal to -7 or greater than 12" as an inequality

 

b.) " A number p is less than 6 and greater than 2

find the given polynomial by finding the greatest common monomial factor or the ñegative of the greatest common monomial factor and rewrite the expression. ​

Answers

Answer:

1. The greatest common monomial factor is xy

2. xy(6 + 2y² + 3x²)

Step-by-step explanation:

6xy + 2xy³+ 3x³y

1. Determination of the greatest common monomial (GCM) factor.

6xy + 2xy³+ 3x³y

6xy => 2 × 3 × x × y

2xy³ = 2 × x × y × y × y

3x³y = 3 × x × x × x × y

GCM => xy

2. Rewrite the expression

6xy + 2xy³+ 3x³y

GCM => xy

6xy + 2xy³+ 3x³y = xy(6 + 2y² + 3x²)

An angle measures 31.6° more than the measure of its complementary angle. What is the measure of each angle? (need two answers pls see pic)ASAP!!!!!!!!

Answers

Answer:

29.2 and 60.8  

Step-by-step explanation:

x° + x° + 31.6° = 90°

2x + 31.6 = 90

2x = 58.4

x° = 29.2°

90° - 29.2° = 60.8°

29.2 and 60.8

16^x-1 ÷ 2^4x.32 simplify​

Answers

Answer:

16x - 1/50x

Step-by-step explanation:

Find the volume of the composite figure.​

Answers

I have no idea have a good day

The volume of the polyhedron is ______ cm3.

Answers

The volume of the polyhedron is 24cm3

What is the value of x

Answers

Answer:

it Is a variable..............

Know how to calculate point est., confidence interval, max tolerable error. Know the effect when you change the confidence level and the sample size. A high school surveyed their graduates on their starting salaries. 300 were returned. The average starting salary of the surveys returned was $32,000 with a standard deviation of $5,000.
1. What is the point estimate for the starting salary of the graduates?
2. What is the 95% confidence interval for the average salary of all graduates?
3. What is the value of the Maximum Tolerable Error for the above confidence interval?
4. If the level of confidence changes to 99%, and all other variables remain unchanged, what will happen to the confidence interval?
5. If the number of graduates returning the survey changes from 300 to 700, all other variables remaining unchanged, what will be effected?

Answers

Answer:

1)The sample mean is the point estimate for the starting salary of the graduates which is $32,000

2) at 95%, confidence interval for the average salary of all graduates is  ( 31525.13, 32474.87 )

3) Margin of Error E = 474.87

4) at 99%, confidence interval  is ( 31328.54, 32671.46 ).

5) the probability of error will be affected  

Step-by-step explanation:

Given the data in the question;

1) the point estimate for the starting salary of the graduates?

The sample mean is the point estimate for the starting salary of the graduates which is $32,000

2) the 95% confidence interval for the average salary of all graduates?

given that;

mean x' = $32,000

standard deviation σ = $5000

sample size n = 300

∝ = 1 - 95% = 1 - 0.95 = 0.05

∝/2 = 0.05/2 = 0.025  

Z Critical value [tex]Z_{\alpha /2[/tex] = 1.6449 ≈ 1.645

so, 95% confidence interval for the average salary of all graduates will be;

⇒ x' ± Margin of Error

Margin of E =  [tex]Z_{\alpha /2[/tex] ( σ/√n )

we substitute

E =  1.645( 5000/√300 )

E = 1.645( 288.675 )

E = 474.87

so

x' ± Margin of Error

32000 ± 474.87

⇒ 32,000 - 474.87, 32,000 + 474.87

⇒ ( 31525.13, 32474.87 )

Therefore, 95% confidence interval for the average salary of all graduates is  ( 31525.13, 32474.87 )

3) the value of the Maximum Tolerable Error for the above confidence interval?

This is simply the Margin of Error,

Margin of Error E = 474.87

4)

If the level of confidence changes to 99%, and all other variables remain unchanged, what will happen to the confidence interval?

at 99% confidence level;

∝ = 1 - 99% = 1 - 0.99 = 0.01

∝/2 = 0.005

[tex]Z_{\alpha /2[/tex] = 2.326

∴ confidence interval will be;

⇒ 32000 ± [tex]Z_{\alpha /2[/tex] ( σ/√n )

we substitute

⇒ 32000 ± 2.326( 5000/√300 )

⇒ 32000 ± 2.326( 288.675 )

⇒ 32000 ± 671.458

⇒ 32000 - 671.458, 32000 + 671.458

⇒ ( 31328.54, 32671.46 )

Therefore, at 99%, confidence interval  is ( 31328.54, 32671.46 ).

5)  If the number of graduates returning the survey changes from 300 to 700 and all other variables remaining unchanged, the probability of error will be affected  

Which of the following numbers is equivalent to
√48?

Answers

Answer: you forgot attachment

Step-by-step explanation:

It would be 6.928......
But since you didn’t include an answer it could also be 7 or maybe 6.930

Can someone please help!!

Answers

Answer:

https://youtu.be/WYNfQabLpuk

Solve for c:
112 = 14c​

Answers

8, you divide 14 on both sides to to leave the c by itself. 112/14=8

Answer:

its 8 i belive

Step-by-step explanation:

Solve the following integral.

[tex]\int4x\cos(2-3x)dx[/tex]

Answers

Hi there!

[tex]\boxed{-\frac{4x}{3}sin(2-3x) + \frac{4}{9}cos(2-3x) + C}[/tex]

To find the indefinite integral, we must integrate by parts.

Let "u" be the expression most easily differentiated, and "dv" the remaining expression. Take the derivative of "u" and the integral of "dv":

u = 4x

du = 4

dv = cos(2 - 3x)

v = 1/3sin(2 - 3x)

Write into the format:

∫udv = uv - ∫vdu

Thus, utilize the solved for expressions above:

4x · (-1/3sin(2 - 3x)) -∫ 4(1/3sin(2 - 3x))dx

Simplify:

-4x/3 sin(2 - 3x) - ∫ 4/3sin(2 - 3x)dx

Integrate the integral:

∫4/3(sin(2 - 3x)dx

u = 2 - 3x

du = -3dx ⇒ -1/3du = dx

-1/3∫ 4/3(sin(2 - 3x)dx ⇒ -4/9cos(2 - 3x) + C

Combine:

[tex]-\frac{4x}{3}sin(2-3x) + \frac{4}{9}cos(2-3x) + C[/tex]

Answer:

this is your answer look it once

-2,4,-8,16... find the 20th term.

Answers

Answer:

I think the answer of this question is,

Step-by-step explanation:

The 20th term may be 1048576

suppose a binomial trial has a probability of success of 0.2 and 500 trials are performance what is the standard deviation of the possible outcomes round your answer to two decimal places

Answers

The standard deviation of the possible outcomes of the binomial trial, given the success rate and the number of trials is 10.

How to find the standard deviation ?

The standard deviation measures the spread or dispersion of the possible outcomes around the mean and a higher standard deviation means that the possible outcomes are more spread out, while a lower standard deviation means that the possible outcomes are more closely clustered around the mean.

To find the standard deviation of this binomial distribution, first find the variance by the formula:
= Number of trials x probability of success x ( 1 - probability of success )

= ( 500 x 0. 2 x ( 1 - 0. 2))

= 100

Then, the standard deviation would be:

= √(Variance )

= √(100)

= 10

Find out more on standard deviation at https://brainly.com/question/17108678

#SPJ1

[Probability / Statistics) Twenty families were surveyed. How many have boys only? ​

Answers

Answer:

5

Step-by-step explanation:

We start by seeing how many families we have in total, which is 20. We then must subtract the number of families with girls only, the number of families with both boys and girls, and the number of families with no children. 20 - 7 is 13, then 13 - 8 is 5, and 5 - 0 is 5.

5



Explain; I did this already lol

(b) I can share the cubes in bag B
equally between 4 people.
How many cubes could be in bag B?
There are two answers. Write them both.
bag B
more than 20
fewer than
30​

Answers

9514 1404 393

Answer:

  24, 28

Step-by-step explanation:

Multiples of 4 between 20 and 30 are ...

  24 = 6·4

  28 = 7·4

There could be 24 or 28 cubes in bag B.

Which expression is equivalent to
(q^6)^2
q3
q8
q12
q36

Answers

I think it’s q12 or C hope this helped

Write the missing fractions.
1/3 + ? = 1
3/5 + ? = 1

Answers

1/3+2/3= 1
3/5+2/5= 1

Step-by-step explanation:

Question 1 :-

[tex]\tt\to \dfrac{1}{3}+? = 1 \\\\\tt\to ? = 1-\dfrac{1}{3}\\\\\tt\to ?=\dfrac{3-1}{3} \\\\\tt\to \boxed{\orange{ ? = \dfrac{2}{3}}}[/tex]

_________________________________

• Question 2 :-

[tex]\tt\to \dfrac{3}{5}+? = 1 \\\\\tt\to ? = 1-\dfrac{3}{5}\\\\\tt\to ?=\dfrac{5-3}{5} \\\\\tt\to \boxed{\orange{ ? = \dfrac{2}{5}}}[/tex]

if twice a number is decreased by 13, the result is 9, what is the number?? (please make a solution)​

Answers

Answer:

22

Step-by-step explanation:

2x-13=9

2x-13-9=0

2x-22=0

2x=22

x=11

distinguish between rote and rational counting​

Answers

Answer: There is a difference between rote counting and rational counting. Rote counting involves the memorization of numbers. Rational counting tells children "how many there are." For children to count rationally, they need to demonstrate one-to-one correspondence.

Star Time:7:30 A.M Elapsed Time:2 hours, 20 minutes End Time is​

Answers

Answer:

9:50 A.M.!

Step-by-step explanation:

7 HRS +2 HRS = 9 HRS

30 MINS + 20 MINS = 50 MINS

Preform the following calculations (+10) + (-45)

Answers

Answer:

Step 1: Find out what 10 to the 5th power is equal to. it = 100,000

Step 2: Multiply 100,000 by 10

Step 3: your answer = 1,000,000

Answer:

-35

Step-by-step explanation:

Express f(x) in the form f(x) = (x - k)q(x)+r for the given value of k.
f(x)= x^3+ 4x² + 5x + 2, k= -2

Answers

Given:

[tex]f(x)=x^3+4x^2+5x+2,k=-2[/tex]

To find:

The the given function in the form [tex]f(x)=(x-k)q(x)+r[/tex].

Solution:

We have,

[tex]f(x)=x^3+4x^2+5x+2[/tex]

The coefficients of f(x) are 1, 4, 5, 2.

Divide the given function by (x+2) by using synthetic division as shown below:

-2 | 1        4           5         2

              -2         -4        -2

_____________________

      1        2          1           0

_____________________

Bottom row represent the quotient and last element of the bottom row is the remainder.

Degree of the function is 3 and the degree of division is 1. So, the degree of the quotient is 3-1 = 2.

So, the quotient is [tex]x^2+2x+1[/tex] and the remainder is 0.

Now,

[tex]f(x)=(x-k)q(x)+r[/tex]

Here, q(x) is the quotient and r is the remainder.

[tex]f(x)=(x-k)(x^2+2x+1)+0[/tex]

Therefore, the required answer is [tex]f(x)=(x-k)(x^2+2x+1)+0[/tex].

You roll a number cube. How likely is it that you will roll a number less than 1? less than 7? Explain.

Answers

Answer:

There is a zero percent that you will roll a number less than one but a 100% chance of rolling a number less than 7.

Step-by-step explanation:

Jan’s family has 3/4 of a cake left. How many members of her family can get 1/4 of what is left?

Answers

Answer:

3

Step-by-step explanation:

3/4 divided by 1/4 equals 3

Answer:

3

Step-by-step explanation:

3/4 is currently left

Subtract 1/4 by 3/4 until nothing is left

The number you get is 3 therefore the answer is 3

What is the main problem with this introduction paragraph?
Games Games Games claims to have the best trade-in store.
Even though it was in great condition, I was given only $4 for it. Later, I
saw that you were selling used copies of the same game for $22. Is
this really fair to your customers?
A. The hook does not relate to the topic.
B. It includes opinions instead of just facts.
C. It does not restate the main points of the essay.
D. The thesis statement is unclear.

Answers

Answer:

french

Step-by-step explanation:

french

Answer:

D

Step-by-step explanation:

The thesis statement is unclear.

Used process of elimination and this introduction paragraph did not have a clear paragraph. Got it correct.

2.
Lisa is 1.50m tall. Sean is 35cm shorter. How tall is Sean
in metres?

Answers

Answer:

Sean is 1.15m

Step-by-step explanation:

35cm = 0.35m

Lisa is 1.5m tall and Sean is 0.35m shorter

1.5m - 0.35m = 1.15m

Sean is 1.15m

what expression does not represent " the sum of n and 6
6 + n
6n
n +6

Answers

Answer:

6n

Step-by-step explanation:

6n = 6*n not 6+n

Leave a like and mark brainliest if this helped!

Are the two triangles similar? If so, state the reason and the similarity statement.

Question 12 options:



A)

Yes; SAS; ΔIGF ∼ ΔMNL



B)

The triangles are not similar.



C)

Impossible to determine.



D)

Yes; AA; ΔIGF ∼ ΔMNL

Answers

Answer:

The triangles are not similar.

Step-by-step explanation:

Given

[tex]\triangle IGF[/tex] and [tex]\triangle MNL[/tex]

See attachment for triangles

Required

Determine if both triangles are similar or not

From the attached triangles, the corresponding sides are:

IG & MN and GF & NL

Where

[tex]IG = 12[/tex]         [tex]MN = 14[/tex]

[tex]GF = 16[/tex]        [tex]NL = 18[/tex]

For both triangles to be similar, the following equivalent ratios must be equal.

[tex]\frac{IG}{MN} = \frac{GF}{NL}[/tex]

[tex]\frac{12}{14} = \frac{16}{18}[/tex]

[tex]\frac{6}{7} \ne \frac{8}{9}[/tex] -- since both ratios are not equal, then the triangles are not similar

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