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GREYUIT [131]
3 years ago
9

What is the equation of the circle graphed below? Use the caret ( ^ ) to enter any exponents; for example, write x2 as x^2.

Mathematics
1 answer:
kvv77 [185]3 years ago
3 0
Equation of a circle in standard form:
(x-h)²+(y-k)²=r²
r=radius
(h,k) is the center.

In this case:
(h,k) =(0,0)   (h=0,k=0 )
r=4

Therefore:
(x-0)²+(y-0)²=4²
x²+y²=16

Answer: x²+y²=16
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Barbara made a bad investment. Rather than earning interest, her money is decreasing in value by 11% each week! After just one w
pochemuha

Answer: She started with $160.

It will take 6 weeks before she has less than half of what she originally invested.

Step-by-step explanation:

If her money is decreasing in value by 11% each week, it means that the rate at which it is decreasing is exponential.

We would apply the formula for exponential decay which is expressed as

A = P(1 - r)^t

Where

A represents the value of the investment after t weeks.

t represents the number of weeks.

P represents the initial value of the investment.

r represents rate of depreciation.

From the information given,

A = $142.40

r = 11% = 11/100 = 0.11

t = 1

Therefore

142.40 = P(1 - 0.11)^1

142.40 = P(0.89)

P = 142.4/0.89

P = 160

For her to have half of what she invested originally, then

80 = 160(0.89)^t

80/160 = (0.89)^t

0.5 = (0.89)^t

Taking log of both sides to base 10

Log 0.5 = log0.89^t = tlog0.89

- 0.3010 = - 0.051t

t = - 0.3010/- 0.051

t = 5.9

Approximately 6 weeks

5 0
3 years ago
PLEASE HELP ME PLEASE
Ray Of Light [21]

Answer:

The computer loses 50%, percent of its value each year.

Step-by-step explanation:

See the graph attached.

A computer is sold for a certain price and then its value changes exponentially over time.

It is clear from the graph that at t = 0, the price was $500, then at t = 1 year, the price was $250 and at t = 2 years, the price was $125 and at t= 3 years, the price was $62.5 and so on.

Therefore, the computer loses 50%, percent of its value each year. (Answer)

5 0
3 years ago
The cost of making a large circle is 1.50. The cost of making the smaller circle is 3/4 the cost of making the larger circle.
Lana71 [14]

Answer:

the answer can be found in cases like this , the answer is 20

4 0
3 years ago
Select the correct answer.<br> What is the solution to this equation <br><br> (1/4)x+1=32
olga_2 [115]

Answer:

YES

Step-by-step explanation:

6 0
1 year ago
What is 6 qt 15 fl oz - 4 pt 4 fl oz =____pt____fl oz
yan [13]

Answer:

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Step-by-step explanation:

6 0
3 years ago
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