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3 years ago

If A = (4,-5) and B = (7.-9), what is the length of AB?

Mathematics

1 answer:

Nookie1986 [14]3 years ago

5 0

Answer:

Step-by-step explanation:

We can figure out the length of AB by using the distance formula.

$D = \sqrt{(7-4)^{2} + (-9-(-5))^{2} }\\ D = \sqrt{(3)^{2} + (-4)^{2} }\\D = \sqrt{9 + 16}\\D = \sqrt{25}\\D=5$

So the distance is 5

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The equation of a circle is (x + 3)2 + (y + 5)2 = 8. Determine the coordinates of the center of the circle.

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3 years ago

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3 years ago

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What is 650/1000 in simplest form

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You could always start by dividing with the largest common factor that you can recall off the top of your head. I'll use 10 as an example.
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You have now simplified the fraction down to 65/100. But wait! You can simplify this fraction down further. I'll use 5 now. 65/5 = 13. 100/5 = 20. You have simplified it down to 13/20. Because you know that 13 is a prime number, you know you have written the fraction in simplest form.
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3 years ago

hat semiannual annuity payment is needed to have $500,000 in 15 years if the annuity pays 6.3% interest

KonstantinChe [14]

The required semiannual annuity payment is $10,256.72

What is future value of an annuity?

The future value of an annuity is the accumulated amount in the future that could be achieved by making a fixed periodic savings, it is a semiannual fixed payment that is required in this case.

The future value formula for an ordinary annuity provided below can be used to determine the semiannual payment needed:

FV=PMT*(1+r)^N-1/r

FV=future value=$500,000

PMT=semiannual payment required=unknown

r=semiannual interest rate=6.3%/2=3.15%=0.0315

N=number of semiannual payments in 15 years=15*2=30

$500,000=PMT*(1+0.0315)^30-1/0.0315

$500,000=PMT*(1.0315)^30-1/0.0315

$500,000=PMT*(2.53557796686568000-1)/0.0315

$500,000=PMT*1.53557796686568000/0.0315

PMT=$500,000/1.53557796686568000*0.0315

PMT=$10,256.72

Find out more about future value of an ordinary annuity on:brainly.com/question/14761171

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2 years ago

If A = (4,-5) and B = (7.-9), what is the length of AB?​

If A = (4,-5) and B = (7.-9), what is the length of AB?