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tankabanditka [31]
3 years ago
11

The perimeter of a rectangular room is 60 feet. Let x be the width of the room (in feet) and let y be the length of the room (in

feet). Select all of the equations below that could model this situation.
Mathematics
1 answer:
olga55 [171]3 years ago
8 0

Answer:

Sorry, there are no answers to select from.

Step-by-step explanation:

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Ronald saves 10.00 to buy a new book. The book original price was 15 but it was on sale for 35% off with a 6% sales tax. Does he
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$6.89

The book is $10. Minus the 35% discount ($10X0.35=$3.50). So the subtotal is $10-$3.50=$6.50.

Tax is 6%. So 0.06X$6.50=$0.39

The total including tax is $6.50+$0.39=$6.89
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Which is the graph of f(x) = (x + 3)(x – 2)?
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If $1000 is invested at 8% interest, compounded annually, then after n years the investment is worthan = 1000(1.08)ndollars.(a)
Luba_88 [7]

Answer:

Diverge

Step-by-step explanation:

(a)

1st year: 1000 * 1.08^1 = \$1080

2nd year: 1000 * 1.08^2 = \$1166.4

3rd year: 1000 * 1.08^3 = \$1259.71

4th year: 1000 * 1.08^4 = \$1360.49

5th year: 1000 * 1.08^5 = \$1469.33

(b) The sequence is divergent, because if we take the derivative of the function with respect to n year:

(1000*1.08^n)^{'} = 1000ln(n)*1.08^n

This is a positive, meaning the slope of the function is positive. If we take the second derivative using product rule

(1000ln(n)*1.08^n)^{'} = 1000\frac{ln(n)}{n}1.08^n

This is also positive when n > 0. Therefore, the slope is positive and increasing. This means the sequence diverges.

5 0
3 years ago
A rectangular game board measures 126 centimeters by 90 centimeters. The game board is divided into small squares of equal size.
Ivahew [28]
The area of your game board is = 126 * 90 = 11340 cm^2;
A small suares has x^2 his area; where x measure his length;

Prime factorization

11340 | 2
 5670 | 2
 2835 | 5
  567  | 3
  189 | 3
    63 | 3
    21 | 3
      7 | 7
      1

11340 = 2^2 * 3^4 * 5 * 7 = 2^2 * ( 3^2 ) ^ 2 * 5 * 7 = 18^2 * 5 * 7

We observ that the possible length of the side is 18( we have 35 small squares ).
8 0
3 years ago
a sixteen sided number cube has the numbers 1 through 16 on each face. each face is equally likely to show after a roll. what is
solong [7]
The possibilities of an even number are  2,  4,  6,  8,  10,  12,  14, and  16 .

The possibilities of an odd prime are  3,  5,  7,  11,  and  13.

8 even numbers + 5 odd primes  =  13 possibilities of success

                                                 out of 16 total possible outcomes.

Probability of success  =  13/16 =   0.8125  =  81.25% .

Rounded to the nearest thousandth, it's 0.813 .
3 0
3 years ago
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