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Elden [556K]
3 years ago
9

Solve problem to find π (please add steps) A=1/2πr^2

Mathematics
1 answer:
PtichkaEL [24]3 years ago
3 0

Answer:

Π = 2A/r^2

\pi =  \frac{2a}{ {r}^{2} }

Step-by-step explanation:

Get rid of the half by taking it to the left side or multiplying a fraction by it's denominator to get rid of it. If you multiplying by it's denominator you must also do the same for the other side. Then get rid of the radius by dividing or taking it to the other side, isolating pi.

Hope this helps. :)

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GC - If the principal amount of money put into a bank is $2000 with a 3.5% rate compounded quarterly, what is the amount after 6
alisha [4.7K]

Given:

Principal amount = $2000

Rate of interest = 3.5% compounded quarterly.

Time = 6 years

To find:

The amount after 6 years.

Solution:

The formula for amount after compound interest is:

A=P\left(1+\dfrac{r}{n}\right)^{nt}

Where, P is principal, r is rate of interest in decimal, n is the number of time interest compounded in an year and t is the number of years.

The interest is compounded quarterly, so n=4.

Substituting P=2000,r=0.035,n=4,t=6, we get

A=2000\left(1+\dfrac{0.035}{4}\right)^{4(6)}

A=2000\left(1+0.00875\right)^{24}

A=2000\left(1.00875\right)^{24}

A=2465.10340

Approximate the value to the nearest hundredth.

A\approx 2465.10

The amount after 6 years us $2465.10. Therefore, the correct option is A.

4 0
3 years ago
Classify these sequences as arithmetic, geometric, or neither. Make sure to justify your answer
xxTIMURxx [149]

Answer:

6) 7, 14, 28, 54 - geometric sequence

( multiplication with 2 )

7) 1000, 200, 40, 8 - geometric sequence

( division by 5 )

8) 7, 14, 21, 28 - Arithmetic sequence

( addition of 7 )

6 0
3 years ago
A gym charges $8.75 for each swimming class and a one-time registration fee of $12.50. A student paid a total of $56.25. How man
cestrela7 [59]

Answer:

He took 5 swimming classes.

Step-by-step explanation:

The problem states that the student paid a total of $56.25 for the classes and also the one-time registration fee. To find the number of classes, we should first subtract the one-time registration fee from the total.

$56.25 - $12.50 = $43.75

Now that we know he spent a total of $43.75 on the classes without the registration fee, we can divide that number by the cost of one class ($8.75) to calculate the total number of classes he took.

43.75 / 8.75 = 5

7 0
3 years ago
Write an equation for the line perpendicular to y=2x-5 that contains (9,6).
andrew11 [14]
To write a line that is perpendicular you have flip the slope and change the sign so it would be -1/2, then you carry on like normal. So the answer is: 

y-6= -1/2(x-9)
8 0
3 years ago
Help me please hurry it up.
Katena32 [7]

The answer is either to change the - 1 to 0, or to add + 1 to it next to the - 1.

4 0
3 years ago
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