Question

Percent Question

Answer 1

Mary gets 1.5% raise twice per year. Which expression matches that? (Y= years, S=salary)

A) s(1.5)^(2y)

B) s(.015)^(2y)

C) s(1.015)^(2y)

D) s(1.5)^(y/2)

E) s(1.015) ^ (y/2)

Answer 2

I know when you add (increasing by some %) it is 1+ that percent

Answer 3

I know it is not D or E

Answer 4

Or b

Answer 5

So is it B? I guess I just need the concept explained

Answer 6

okay lets say that her initial salary is "s"

now it gets raised by 1.5%
so then her salary becomes \(\large s \times \frac{1.5}{100}\)

now again his salary will increase by 1.5% (because it increases by 1.5% twice a year)

so then the salary becomes this- \(\large s \times \frac{1.5}{100} \times \frac{1.5}{100}\)

try to generalize it so that you get equation for the salary she gets in the "\(y^{th}\)" year

Answer 7

yeah

Answer 8

So that means it is C.

Answer 9

wait you mean B or C?

Answer 10

Let me check the back of the book

Answer 11

Says C

Answer 12

oops i made a little mistake there
wait a sec lemme correct it :p

Answer 13

okay lets say that her initial salary is "s"

now it gets raised by 1.5%
so then her salary becomes \(\large s \times \frac{101.5}{100}\)

i did "101.5" because the percentage increased by 1.5%

now again his salary will increase by 1.5% (because it increases by 1.5% twice a year)

so then the salary becomes this- \(\large s \times \frac{101.5}{100} \times \frac{101.5}{100}\)

Answer 14

\(\large s \times \frac{1.5}{100}\) would mean that the salary because 1.5% of the original

Answer 15

but because here the salary has increased by 1.5%
so we can say that the salary after increment is 101.5% of the original

Answer 16

Ok. I really appreciate it!!!!!

Answer 17

np :)

Answer 18

Did you get that it's s(1.015)^(2y), because it happens twice a year.