Answer:
The perimeter is 52
Step-by-step explanation:
The area is 36x^2 -60x+25
We set this equal to 0 to find the length and width
A= 36x^2 -60x+25
We notice that this is a perfect square trinomial
(a^2 -2ab-b^2) = (a-b)^2
let a = 6x and b=5
A=(6x-5) (6x-5)
The length and width are the same since is it a square (we know it is a square so they have to be equal)
The perimeter of a square is
P =4s
P =4 (6x-5)
Distribute the 4
= 24x -20
Let x =3
P = 24(3) -20
=72 -20
= 52
The perimeter is 52
Answer:
213 books
Step-by-step explanation:
Paper books = $1.45 each
$ 1.45 = 1 paper book
$ 1 = 1/1.45 paper book
$98.6 = 98.6/1.45 paper books
$ 98.6 = 68 paper books
Hardback books = $ 2.25 each
$2.25 = 1 Hardbook
$1 = 1/2.25 hardbook
$ 328.10 = 328.10/2.25 hardbooks
$ 328.10 = 145.822 hard books
Number of books cannot be a decimal number, so the value has to be estimated to a nearer whole number.
$ 328.10 = 145 hard books
Total number of books bought = (145 + 68)books= 213 books (Answer)
<h3>
Answer: p = 0.12*(1.02)^t</h3>
Explanation:
The general exponential growth equation is
p = A*B^t
where t is the number of years that have gone by after 2008, A is the starting amount, B is the growth multiplier, and p is the price t years after 2008
We know that A = 0.12 is the starting price
The value of B is B = 1.02 which is in the form 1+r since 1.02 = 1 + 0.02 = 1+r
The r value is r = 0.02 and it is positive to represent growth. Keep in mind that 2% = 2/100 = 0.02
So we go from
p = A*B^t
to
p = 0.12*(1.02)^t
Answer:
9.3
Step-by-step explanation:
last week she worked 45.6 hours. since 40 hours is the limit for normal working hours, she worked 45.6-40 = 5.6 hours overtime.
this week she worked 9.7+8.3+8+9.1+8.6 hours = 43.7 hours.
she worked therefore 43.7-40 = 3.7 hours overtime.
so, in total of the two weeks, she worked 5.6+3.7 = 9.3 hours overtime.
