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bagirrra123 [75]
3 years ago
12

If the point (1, 5) lies on a circle whose center is at the origin, what is the equation of the circle?

Mathematics
1 answer:
tekilochka [14]3 years ago
4 0
( x - 0 )^2 + ( y - 0 )^2 = 1
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Find the selling price for a case of Newman's Own® special blend coffee that costs the retailer $35.87 if the markup is 22% of t
mote1985 [20]

Answer:

The selling price is $46 approx.

Step-by-step explanation:

The cost price is = $35.87

Markup is 22% of selling price.

Let the selling price be = 100%

So, 100%-22%=78% = 0.78

So, solution is = 35.87/0.78=45.98 ≈ $46.

Hence, the selling price is $46 approx.

4 0
3 years ago
there are 15 oranges available to be cut up for a hockey team. Each member of the team will get two third of an orange. Using op
Yuki888 [10]
Each member of the team will get two thirds of an orange.
3 0
2 years ago
Nu is designing a rectangular sandbox.The bottomm is 16 square feet.Which dimensions require the least amount of materail for th
zzz [600]

Given Information:  

Area of rectangle = 16 square feet

Required Information:  

Least amount of material = ?

Answer:

x = 4 ft and y = 4 ft

Step-by-step explanation:

We know that a rectangle has area = xy and perimeter = 2x + 2y

We want to use least amount of material to design the sandbox which means we want to minimize the perimeter which can be done by taking the derivative of perimeter and then setting it equal to 0.

So we have

xy = 16  

y = 16/x

p = 2x + 2y

put the value of y into the equation of perimeter

p = 2x + 2(16/x)

p = 2x + 32/x

Take derivative with respect to x

d/dt (2x + 32/x)

2 - 32/x²

set the derivative equal to zero to minimize the perimeter

2 - 32/x² = 0

32/x² = 2

x² = 32/2

x² = 16

x = \sqrt{16} = 4 ft

put the value of x into equation xy = 16

(4)y = 16

y = 16/4

y = 4 ft

So the dimensions are x = 4 ft and y = 4 ft in order to use least amount of material.

Verification:

xy = 16

4*4 = 16

16 = 16 (satisfied)

7 0
3 years ago
20,000 has been placed in a bank account that earns 5.7% interest. How much money will be in the account if it is compounded sem
tamaranim1 [39]

Answer:

$25 821.69

Step-by-step explanation:

The formula for the future value (FV) of an investment is

FV =PV(1 + r/n)^nt

FV = 20 000(1 + 0.087/2)^(2×3)

FV = 20 000(1 + 0.0435)⁶

FV = 20 000(1.0435)⁶

FV = 20 000 × 1.291 0847

FV = $25 821.69

5 0
3 years ago
Will has 2 quarters, 6 dimes, some nickels, and 4 pennies. If the ratio of pennies to the total number of coins he has is 1:5, h
Mamont248 [21]

Answer:

8 nickels

Step-by-step explanation:

Let n be the number of nickels.

4: (2+ 6 + 4 + n) = 1:5

4÷(12 + n) = 1÷5

4 x 5 = 1 x (12 + n)

20 = 12 + n

n = 8

4 0
3 years ago
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