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3 years ago

Identify the hyperbolas (represented by equations) whose centers are at (2, 1)

1 answer:

5 0

When the transverse axis is horizontal, a hyperbola centered at (h,k) has formula (x-h)^2/a^2-(y-k)^2/b^2=1. Plug in h=2, k=1, the formula is (x-2)^2/a^2-(y-1)^2/b^2=1 for some a,b. If the transverse axis is vertical, the formula is (y-h)^2/a^2-(x-k)^2/b^2=1, and (y-2)^2/a^2-(x-1)^2/b^2=1 in our case.

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Jorge bought 6 chicken pizza and 2 vegetable pizzas for 127.92. Martin bought 3 chicken pizza and 8 vegetable pizzas for 133.89.

Naddika [18.5K]

I would say to add the 2 prices together and that would be your answer!
So your answer is 261.81!
Hope this helps!

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2 years ago

Read 2 more answers

Calculate the a) future value of the annuity due, and b) total interest earned. (From Example 2)

vredina [299]

Answer:

value: $66,184.15
interest: $6,184.15

Step-by-step explanation:

The future value can be computed using the formula for an annuity due. It can also be found using any of a variety of calculators, apps, or spreadsheets.

<h3>formula</h3>

The formula for the value of an annuity due with payment P, interest rate r, compounded n times per year for t years is ...

FV = P(1 +r/n)((1 +r/n)^(nt) -1)/(r/n)

FV = 5000(1 +0.06/4)((1 +0.06/4)^(4·3) -1)/(0.06/4) ≈ 66,184.148

FV ≈ 66,184.15

<h3>calculator</h3>

The attached calculator screenshot shows the same result. The calculator needs to have the begin/end flag set to "begin" for the annuity due calculation.

The future value of the annuity due is $66,184.15.

The total interest earned is the difference between the total of deposits and the future value:

$66,184.15 -(12)(5000) = 6,184.15

A total of $6,184.15 in interest was earned by the annuity.

3 0

2 years ago

Samuel is looking at the floor plan of his house to determine how much carpet he needs to buy for his basement. Based on the flo

DerKrebs [107]

Answer:

B) First, find two areas using (4m x 10m = 40m2) and (8m x 3m = 24m2). Next, add (40m2 + 24m2 = 64m2).

Step-by-step explanation:

Samuel should is looking to find the area of his basement in order to cover it with carpet.

An area is calculated by multiplying two dimensions (so answers A and D are not it).

Best solution is to divide the area into two large rectangles then ADD them together to get the total area.

The only scenario where he could have subtracted something based on his plan is if he would have multiplied the 10m by the 12m then subtracted the area that is not part of his basement (7mx8m). He would have achieved the same result of course, but by going a different way.

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3 years ago

WHICH OF THE FOLLOWING COMPARISONS IS FALSE A. 4 LITERS < 1 GALLON B. 1 FOOT < 1 METER C. 25 GRAMS < 1 OUNCE D. 10 KILO

Kisachek [45]

Ummm search it up on google it should be on there

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2 years ago

Which of these numbers of simulations of an event would be most likely to produce results that are closest to those predicted by

LuckyWell [14K]

<span>C. 80 simulations would be the most likely to reproduce results predicted by probability theory. Due to the law of large numbers, as the number of trials increase, the actual ratio of outcomes will converge on the theoretical, or expected, ratio of outcomes.</span>

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2 years ago

Read 2 more answers