<u>Answer:</u>
$593.26
<u>Step-by-step explanation:</u>
We know that the price of the laptop is $2500 and each year its resale value decreases by 25%. It means that 100 - 25 = 75% of the value is retained every year for the resale.
So, the resale value for 1st year =
$1875
for 2nd year =
$1406.25
for 3rd year =
$1054.7
for 4th year =
$791.01
for 5th year =
$593.25
Or we can use the following formula to find its resale value after 5 years:
$593.26
Answer: B
Step-by-step explanation:
The area of a circle is pi*radius^2. But only a diameter is given, so in order to find the radius, you must divide the diameter by 2:
3.6/2 = 1.8
Now, you can plug the radius, 1.8, into the equation pi*radius^2 (
):
= about 10.18
Lastly, you must divide the area 10.18 by 2 because you are looking for only half the area.
10.18/2 = 5.09
Answer:
12 girls.
Step-by-step explanation:
24 ÷ 2 = 12
(This is divided to find out 1 part of the whole class as ⅓)
⅓ = 12
1 (whole) take away ⅔ = ⅓
Since ⅔ + ⅓ = 1
⅓ = fraction of girls in class
1 part = 12
So ⅓ = 12 girls out of 36 total students
Hope this helps. :)
Answer:
4h^2-6h-7
Step-by-step explanation:

Answer:
4 = 22
Step-by-step explanation:
Factor 40 into its prime factors
40 = 23 • 5
To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.
Factors which will be extracted are :
4 = 22
Factors which will remain inside the root are :
10 = 2 • 5
To complete this part of the simplification we take the squre root of the factors which are to be extracted. We do this by dividing their exponents by 2 :
2 = 2
At the end of this step the partly simplified SQRT looks like this:
2 • sqrt (10x4)
Rules for simplifing variables which may be raised to a power:
(1) variables with no exponent stay inside the radical
(2) variables raised to power 1 or (-1) stay inside the radical
(3) variables raised to an even exponent: Half the exponent taken out, nothing remains inside the radical. examples:
(3.1) sqrt(x8)=x4
(3.2) sqrt(x-6)=x-3
(4) variables raised to an odd exponent which is >2 or <(-2) , examples:
(4.1) sqrt(x5)=x2•sqrt(x)
(4.2) sqrt(x-7)=x-3•sqrt(x-1)
Applying these rules to our case we find out that
SQRT(x4) = x2
sqrt (40x4) =
2 x2 • sqrt(10)
Simplified Root :
2 x2 • sqrt(10)