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ANTONII [103]
3 years ago
9

What is the radius of the circle with this equation of (x-5)^2 + 4+7)^2 = 8?

Mathematics
1 answer:
Leya [2.2K]3 years ago
4 0

Answer:

2\sqrt{2} is the exact answer

2.83 is the answer to the nearest 100th

Step-by-step explanation:

I think the equation should be

(x-5)^2 + (y+7)^2 = 8 instead of (x-5)^2 + 4+7)^2 = 8

r^{2} = 8

r = \sqrt{8} = 2\sqrt{2}

2\sqrt{2} is the exact answer

2.83 is the answer to the nearest 100th

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Minutes answer B

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Dale is 35 years old and planning to retire at age 65. He will invest an average of $155 each month with an average annual retur
weeeeeb [17]
Since he is investing the same amount monthly, we have to apply annuity formula. And it is planned for the future. So that, we'll apply future value annuity formula. The formula is FV=A[ \frac{(1+ \frac{r}{s})^{Ns} -1 }{r} ], where A is the monthly payment, r is the percentage rate, s is 12 (monthly compound) and N is the time, which is 30. Plugging the numbers into the formula, we write that FV=155[ \frac{(1+ \frac{0.037}{12} )^{12*30} - 1 }{0.037}  ] = $8485.450857
3 0
4 years ago
Suppose that $p$ and $q$ are positive numbers for which \[\log_9 p = \log_{12} q = \log_{16} (p + q).\] what is the value of $q/
SVEN [57.7K]

Given p,q>0 and \log_9p=\log_{12}q=\log_{16}(p+q)=x (say).

Then,

p=9^x\\ q=12^x\\ p+q=16^x

From the above 3 equations,

\frac{q}{p} =(\frac{12}{9} )^x\\ \frac{q}{p} =(\frac{4}{3} )^x\\ \frac{p+q}{p} =(\frac{16}{9} )^x\\ \frac{p+q}{p} =(\frac{4}{3} )^{2x}\\

From the equations, we get

\frac{p+q}{p}=(\frac{q}{p})^2\\ 1+\frac{q}{p}=(\frac{q}{p})^2\\ (\frac{q}{p})^2-\frac{q}{p}-1=0\\ \frac{q}{p}=\frac{1 \pm \sqrt{5}}{2}

Since p,q>0, the negative value is rejected.

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3 0
4 years ago
Find the area of the trapezoid.
mrs_skeptik [129]

Answer:

40cm^2

Step-by-step explanation:

A=a+b/2×h

A=6+10/2*5

A=16cm/2*5cm

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6 0
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For the month of march, Kasey plans to vacuum her floor every fourth day and clean her bathroom every seventh day if she begins
Alexeev081 [22]

Answer: March 28

Step-by-step explanation:

Solve for this by checking for the lowest common multiple of 7 and 4.

Multiples of 7: 7, 14, 21, 28, 35

Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32

Lowest is 28 so on March 28th she both will vacuum her floor and clean her bathroom.

4 0
3 years ago
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