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nikklg [1K]
4 years ago
9

A roped-off area of width x is created around a 30- by 10-foot rectangular museum display of Native American artifacts. The comb

ined area of the display and the roped-off area is 800 square feet. Whats an equation for the combined function
Mathematics
1 answer:
Monica [59]4 years ago
5 0

Answer: 4x^{2}+80x-500=0

Step-by-step explanation:

1. You know that:

-  The roped-off area whose width is represented with <em>x,</em> it is created around  a rectangular museum.

- The dimensions of the rectangular museum are: 30 ft by 10 ft.

- The combined area of the display and the roped-off area is 800 ft².

2. The area of the rectangular museum can be calculated with:

A=l*w

Where l is the lenght and w is the width.

You have that the lenght and the width in feet are:

l=30\\w=10

3. Let's call x the width of the roped-off area. Then, the combined area is:

A_c=l_c*w_c

Where

A_c=800

l_c=l+x+x=30+2x

w_c=w+x+x=10+2x

4. Substitute values and simplify. Then:

 800=(30+2x)(10+2x)

800=300+60x+20x+4x^{2}\\4x^{2}+80x-500=0

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Evgesh-ka [11]

Value of x = 13°

Hope it helps you...

5 0
3 years ago
A winch is being used to pull a 3500-lb vehicle 30'. How much work is performed?
AlekseyPX

Answer:

105,000 foot-pounds.

Step-by-step explanation:

Work done = 3500 * 30 foot pounds

3 0
3 years ago
Ashley deposits $10 000 at the end of each month for 6 times at rate of 5% compounded monthly. How much will be in her account
xz_007 [3.2K]

The future values of Ashley's periodic deposits under the five scenarios are stated in the deposit table as follows:

<h3>Deposit Table:</h3>

Item     Initial       Periodic      Deposit    Interest    Future Value    Interest

         Deposit     Deposit        Period        Rate                                    ($)

a.      $10,000     $10,000     6 months        5%        $61,774.51      $1,774.51

b.     $10,000     $10,000     3 months        5%      $30,502.78       $502.78

c.      $10,000    $10,000     6 months        5%        $51,774.51     $1,522.42

d.    $20,000    $10,000      6 months       5%        $72,201.71     $2,201.71

e.   $10,000     $10,000     6 months       5%/6%  $60,803.78       $803.78

<h3>What is the future value?</h3>

The future value of a periodic investment represents the present value of cash flows compounded at an interest rate into the future.

The future value is computed using the FV formula or factor.

It can also be computed using an online finance calculator as follows:

<h3>Data and Calculations:</h3>

Periodic Deposit = $10,000

Investment period = 6 months

Interest rate = 5% compounded monthly

<h3>a) for illustration:</h3>

N (# of periods) = 6 months

I/Y (Interest per year) = 5%

PV (Present Value) = $0

PMT (Periodic Payment) = $10,000

<u>Results</u>:

FV = $61,774.51

Sum of all periodic payments = $60,000 ($10,000 x 6)

Total Interest = $1,774.51

<h3>Other Special Cases:</h3>

c) Interest on $10,000 for 3 months is $1,522.42 ($1,774.51 - $252.09).

d)                             Future Value      Interest

5% with $20,000   $82,285.04    $2,285.04

5% with  $10,000     (10,083.33)          (83.33)

Total for 6 months   $72,201.71     $2,201.71

e)                            Future Value       Interest

5% for 3 months    $30,502.78       $502.78

6% for 3 months     $30,301.00       $301.00

Total for 6 months $60,803.78      $803.78

Learn more about the computation of future values at brainly.com/question/24703884 and brainly.com/question/12979998

#SPJ1

4 0
2 years ago
Please hellllpppp really appreciated
antiseptic1488 [7]
2/5 divides by 4/1 = 1/10
X=1/10
5 0
3 years ago
Hans wanted to find the length of the hypotenuse of the triangle. Which statement correctly identifies his error? ​
KonstantinChe [14]

Choice 1. He did not square 40, he just multiplied by 2.

Step-by-step explanation:

Step 1:

According to the Pythagorean theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

The hypotenuse measures c cm while the other sides are 40 cm and 9 cm each.

Step 2:

According to the Pythagorean theorem,

9^{2} +40^{2} = c^{2}.

81 + 1600 = c^{2} .

1681 = c^{2} .

\sqrt{1681} = c.

This is the correct solution to the given problem. Hans did not square 40, he just multiplied by 2. Which is the first option.

5 0
3 years ago
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