answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Taya2010 [7]
1 year ago
6

A storage locker measures 8 feet wide, 12 feet deep, and 9 feet high. The monthly rental price for the locker is $3.60 per cubic

yard. How much does it cost to rent the locker each month? Use the drop-down menus to show your answer.
The volume of the locker is cubic feet, which is equivalent to cubic yards. So, the total cost to rent the locker is
Mathematics
1 answer:
serious [3.7K]1 year ago
5 0

Answer:

  • 864 ft³
  • 32 yd³
  • $115.20

Step-by-step explanation:

The volume in cubic feet is the product of the dimensions:

  V = WDH = (8 ft)(12 ft)(9 ft) = 864 ft³.

There are 27 ft² in a cubic yard, so this is ...

  (864 ft³)(1 yd³/(27 ft³)) = 32 yd³

At a cost of $3.60 per cubic yard, the cost is ...

   ($3.60/yd³)(32 yd³) = $115.20

The cost to rent the locker is $115.20 per month.

_____

If you didn't have to provide the volume in cubic feet, it would be convenient to compute it using yards as the units of measurement.

  V = WDH = (8/3 yd)(4 yd)(3 yd) = 32 yd³

You might be interested in
At a recent county fair, you observed that at one stand people's weight was forecasted, and were surprised by the accuracy (with
MatroZZZ [7]

Answer:

a)Slope: \hat \beta_1 =\frac{7625.9}{1248.9}=6.106

Intercept: \hat \beta_o = 157.955 -6.106 (69.686)=-267.548

b) r=\frac{7625.9}{\sqrt{[1248.9][94228.8]}}=0.657  

And the determination coeffecient is r^2 = 0.657^2 =0.432  

Step-by-step explanation:

Data given and definitions

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.  

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"    

When we conduct a multiple regression we want to know about the relationship between several independent or predictor variables and a dependent or criterion variable.  

n=110, \sum x_i y_i = \sum (X-\bar X)(Y-\bar Y) =7625.9,\sum x^2_i=\sum (x-\bar x)^2 =1248.9 , sum y^2_i=\sum(y-\bar y)^2 =94228.8  

\sum Y_i =17375 , \sum X_i = 7665.5

Part a

The slope is given by this formula:

\hat \beta_1 =\frac{\sum (x-\bar x) (y-\bar y)}{\sum (x-\bar x )^2}

If we replace we got:

\hat \beta_1 =\frac{7625.9}{1248.9}=6.106

We can find the intercept with the following formula

\hat \beta_o = \bar y -\hat \beta_1 \bar x

We can find the average for x and y like this:

\bar X=7665.5/110 =69.686, \bar y= 17375/110=157.955

And replacing we got:

\hat \beta_o = 157.955 -6.106 (69.686)=-267.548

Part b

In order to calculate the correlation coefficient we can use this formula:  

r=\frac{\sum (x-\bar x)(y-\bar y) }{\sqrt{[\sum (x-\bar x)^2][\sum(y-\bar y)^2]}}  

For our case we have this:  

n=110, \sum x_i y_i = \sum (X-\bar X)(Y-\bar Y) =7625.9,\sum x^2_i=\sum (x-\bar x)^2 =1248.9 , sum y^2_i=\sum(y-\bar y)^2 =94228.8  

So we can find the correlation coefficient replacing like this:

r=\frac{7625.9}{\sqrt{[1248.9][94228.8]}}=0.657  

And the determination coeffecient is r^2 = 0.657^2 =0.432  

6 0
2 years ago
In one year, the McAlister family drove their car 15,680 miles. To the nearest thousand, how many miles did they drive their car
Archy [21]
The answer is 16,000


8 0
2 years ago
Read 2 more answers
3. Use Sydney's Minimum Payment Summary to answer the statements that follow.
VashaNatasha [74]

Explanation:

<u>Part 1</u>

The total monthly payment will remain level at the amount currently scheduled for Month 1. The revised totals are shown at the bottom of the attachment.

When Card C is fully paid, the same total payment will continue to be used until all card debts are paid.

__

<u>Part 2</u>

The excess over the sum of minimum payments will be applied to Card C (24% rate). The minimum payment will continue to be made for the other credit cards. The revised Card C payments are shown at the bottom of the attachment.

When Card C is fully paid, the excess over the sum of minimum payments will be applied to Card B (20% rate).

_____

<em>Comment on the question</em>

You can't think too much about the given numbers. The minimum payment amounts given here decrease way faster than you would expect. For example, the $1.36 decrease in the minimum payment for Card A from Month 1 to Month 2 corresponds to a balance decrease of more than $90 when the interest rate is 1.5% per month. That is not possible if the payment is only $32.19.

Apparently, the question is not about the actual numbers. Rather, it is about the strategy of debt reduction. Some (bogus) numbers are given here just so you have something to think about.

The approach described in the problem statement has been given the name "debt avalanche" to distinguish the approach from Dave Ramsey's "debt snowball." The "debt snowball" approach pays off the <em>minimum balance</em> first, not the highest interest rate. It also includes some extra cash above the sum of minimum balances. ($100 is suggested; more is better.) The psychological effect of the quick win is considered to be more important than the extra cost of carrying the higher-rate debt for a longer period.

4 0
2 years ago
Can somone give me the answer to 2 x 0
marshall27 [118]
Any number times 0 is going to equal 0
8 0
1 year ago
Read 2 more answers
Bailey likes the shape of her friend's pool, but she wants one that is half the volume. According to Cavalieri’s Principle, what
Cerrena [4.2K]

Answer: I need a picture off the pool and measurements.

Step-by-step explanation: I need this in order to figure out the problem and give you a helpful answer.

8 0
2 years ago
Read 2 more answers
Other questions:
  • A kennel has 80 dogs in total dogs in total, some are puppies and some are adult dogs. The ratio of puppies to adult dogs in a k
    8·1 answer
  • Find all the values of k so that the given points are 29 square units apart. (-5, 5) and (k,0).
    9·1 answer
  • Explain what the word function implies in the sentence: The distance Annette traveled was a function of speed and the amount of
    13·2 answers
  • Which statement is true about the prime polynomial 2x2 + 3x + 3?
    11·1 answer
  • Terrence walks at a pace of 2 mi/h to the theater and watches a movie for 2 hours and 15 min he rides a bus back home at 40 mi/h
    7·1 answer
  • Last summer, Betty earned $4200 by painting houses. She invested
    8·2 answers
  • Find the volume of the resulting solid if the region under the curve y = 10/(x2 + 3x + 2) from x = 0 to x = 1 is rotated about t
    14·1 answer
  • PLEASE HELP!!! (two questions, will give brainliest for best answer)
    8·1 answer
  • You have $60 and your sister has $120. You are saving $14 per week and your sister is saving $10 per week. How
    5·1 answer
  • QUICKKKKKK HELPPPPLines a and b are parallel and lines e and f are parallel. Vertical and parallel lines a and b are intersected
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!