If

is an integer, you can use induction. First show the inequality holds for

. You have

, which is true.
Now assume this holds in general for

, i.e. that

. We want to prove the statement then must hold for

.
Because

, you have

and this must be greater than

for the statement to be true, so we require

for

. Well this is obviously true, because solving the inequality gives

. So you're done.
If you

is any real number, you can use derivatives to show that

increases monotonically and faster than

.
Formula for amount for compound interest:
Amount, A = P(1 + r/100)^n
Where r is rate, P is principal, and n is the number of years.
P = 2000, r = 5, n = t years.
A = 2000( 1 + 5/100)^t
A = 200(1+0.05)^t
A = 2000(1.05)^t
A(t) = 2000(1.05)^t
Total hours= 2.2+3.5=5.7
Total earned = 5.7 x $7.50= $42.75
Step-by-step explanation:
B becuase it keeps the same orientation and have the same distance from each point and they both produce rigid motion.
A is a reflection.
C is a dilation.
D is a rotation.
Answer:
3 is the right I think idonk