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vivado [14]
3 years ago
11

The area of a rectangle is 352in2. If the width of the rectangle is x inches, write a function for the perimeter, P(x)

Mathematics
1 answer:
PIT_PIT [208]3 years ago
6 0

Answer:2x2

Step-by-step explanation:

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A Bank offers an annual simple interest rate of 8% on home improvement loans. Tobias borrowed $17,000 over a period of 2 years.
Alex17521 [72]

We first find out the amount in dollars of interest accrued after 2 years  time.

Interest = Prt

where P is the principal, r is the rate and t is  time

8% written in decimal fraction → 8/100 → 0.08

Interest = 17000 × 8% × 2

Interest = 1700 × 0.08 × 2

Interest =  2,720 dollars

We add the principal and the interest to get full amount paid, so:

17000 + 2,720 = 19,720

I hope that you good day

6 0
3 years ago
Anjali spent $193 on shirts. Fancy shirts
11111nata11111 [884]

Answer:

it is 234

Step-by-step explanation:

8 0
3 years ago
I have 10 goats, n of which are male. I need to choose 2 of them to make a casserole.
snow_tiger [21]

Answer: There are 4 male goats.

Step-by-step explanation:

We know that n of the 10 goats are male.

The probability that in a random selection, the selected goat is a male, is equal to the quotient between the number of male goats (n) and the total number of goats (10)

The probability is;

p = n/10

Now the total number of goats is 9, and the number of male goats is n -1

then the probability of selecting a male goat again is:

q = (n-1)/9

The joint probability (the probability that the two selected goats are male) is equal to the product of the individual probabilities, this is

P = p*q = (n/10)*((n-1)/9)

And we know that this probability is equal to 2/15

Then we have:

(n/10)*((n-1)/9) = 2/15

(n*(n-1))/90 = 2/15

n*(n-1) = 90*2/15 = 12

n^2 - n = 12

n^2 - n - 12  = 0

This is a quadratic equation, we can find the solutions if we use Bhaskara's formula:

For an equation:

a*x^2  + b*x + c =  0

The two solutions are given by:

x = \frac{-b +- \sqrt{b^2 - 4*a*c} }{2*a}

For our case, the solutions will be:

n = \frac{1 +- \sqrt{(-1)^2 - 4*1*(-12)} }{2*1 } = \frac{1+- 7}{2}

The two solutions are:

n = (1 - 7)/2 = -3    (this solution does not make sense, we can not have a negative number of goats)

The other solution is:

n = (1 + 7)/2 = 4

This solution does make sense, this means that we have 4 male goats.

5 0
3 years ago
123.5652 to the nearest thousand
ycow [4]

Answer:

Hi there!

The correct answer will be: 123.565

Step-by-step explanation:

Any time they ask you to round to the nearest thousand, it means there will be three digits behind the decimal

3 0
3 years ago
Read 2 more answers
Solve the system of linear equations.<br> 15x - 5y = -20<br> -3x + y = 4
disa [49]

Answer:

Infinite solutions.

Step-by-step explanation:

Use the elimination method:

15x - 5y = -20

-3x + y = 4              Multiply this equation by 5:

-15x + 5y = 20         Now add this to the first equation:

0 = 0

So the 2 equations are the same and there are infinite solutions.      

3 0
3 years ago
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