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vovikov84 [41]
3 years ago
11

Y = -3 x + 9 Y= x -9 Y = 1/3x + 3 Y = -3x -9

Mathematics
1 answer:
sashaice [31]3 years ago
8 0

the correct answer is a

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\sqrt{-1}  = i

However, in Real Number System, you can't find the value of square root of negative numbers. The above one is the imaginary number.

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What else would need to be congruent to show that ABC DEF by SAS?A.C FB. C. D.A D
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The answer is:



Your answer is D
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3 years ago
What is the value of this sum 6372+5849?
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3 years ago
A total of 2,000 square feet is to be enclosed in two pens, separated by a chain link fence. The outside walls are to be constru
Mariulka [41]

Answer:

Dimensions that minimize is; 20 ft x 100 ft

Step-by-step explanation:

Let the width and length be x and y respectively.

We are given area as 2000 Sq.ft.

Thus;

xy = 2000 - - - (eq 1)

We are told that the brick wall costs $20 per linear foot and the chain link costs $4 per linear foot. Thus;

C(x) = 20x + 4y

From eq(1),y = 2000/x

Thus;

C(x) = 20x + 4(2000/x)

C(x) = 20x + 8000/x

To minimize this, we will differentiate and equate to 0.

Thus;

C'(x) = 20 - 8000/x²

Equating to zeeo;

20 - 8000/x² = 0

20 = 8000/x²

20x² = 8000

Divide both sides by 20;

x² = 8000/20

x² = 400

x = √400

x = 20 ft

Putting 20 for x in eq 1,we have;

20y = 2000

y = 2000/20

y = 100 ft

6 0
2 years ago
Brandon has two credit cards and would like to consolidate the two balances into one balance on the card with the lower interest
Nostrana [21]

The amount which Brandon have saved in interest by consolidating the two balances on the card with the lower interest rate is $256.12.

<h3>What is monthly payment?</h3>

Monthly payment is the payment which has to paid against the loan amount or the borrowed money calculated with interest rate.

It can be calculated with the following formula.

M=P\left (\dfrac{r}{1-(1+r)^{-nt}}\right)

Here, (<em>P</em>) is the principal amount, (<em>r</em>) is the interest rate and (<em>t</em>) is time.

Brandon has two credit cards and would like to consolidate the two balances into one balance on the card with the lower interest rate.

The table below shows the information about the two credit cards Brandon currently uses.    

  • Cards                Amount              APR             Monthly Payment
  • Card a               $1,463.82              13%                 $24.60
  • Card b               $1,157.98               17%                 $22.14

               

Interest rate for the card a is,

r=\dfrac{13}{12\times100}=0.01083

The time period is 8 years and there are 12 months in one year. Thus, the monthly payment of card A will be,

M=1157.98\left (\dfrac{0.01083}{1-(1+0.01083)^{-12(8)}}\right)\\M=19.47

In the 8 years, there is total 96 monthly payments. Thus, the total payment by card A is,

P_a=19.47\times96=1869.12

For the card B the monthly payment is $22.14. Thus the total payment by card B is,

P_b=22.14\times96=2125.44

The difference in the payment is,

d=2125.44-1869.12\\d=256.12

Hence, the amount which Brandon have saved in interest by consolidating the two balances on the card with the lower interest rate is $256.12.

Learn more about the monthly payment here;

brainly.com/question/2151013

6 0
2 years ago
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