geno3141

Since 89, 113, and 73 are all prime numbers, their greatest common factor is 1.

If it loses 30% on each bounce, it still retains 70%.

H = 14 · 0.70ⁿ        (H = height; n = number of bounces)

Replace n with 6 and calculate the answer ...

5 + 6 = 11

5 x 6 = 30

Press (2nd), then (atan).

The domain is the set of all possible x-values.

Remove all values of x that makes the function undefined -- all values of x that makes the denominator zero and all values that make the expression under the radical sign negative. 

No:  -6 + (-10)  =  -6 + -10  =  -6 - 10 ...

Zero times any number (or numbers) creates an answer of zero.

The equation  y - 2x  =  4  can be written as  y  =  2x + 4

This line has a slope of 2.

Any line perpendicular to this line has a negative reciprocal slope; the negative reciprocal of 2 is -1/2.

Which answer has a slope of -1/2?

Use the formula:  A  =  P(1 + r)^t

where A = final amount = 283400     P = initial amount = 200300     r  =  rate    t  = number of years = 10

283400  =  200300(1 + r)¹⁰

Divide by 200400    --->   1.414877683  =  (1 + r)¹⁰

Find the 10th root   --->   1.0353  =  1 + r

Subtract 1              --->   r  =  0.0353  or  3.53%

Divide 2500 by 80 and ignore the remainder (it's hard to buy a fraction of a cat!).

2500 ÷ 80  =  31 cats and a remainder of $20.00.