Let w and 2w-5 be the width and length, respectively, of the rectangle. Then:
w(2w-5)=52
2w²-5w-52=0
(2w-13)(w+4)=0
w=13/2 or -4
The rectangle is 6.5 ft by 8 ft. ☺☺☺☺
Given:
The inequalities are:
To find:
The range of values of for the given inequalities.
Solution:
We have,
Adding 3 on both sides, we get
Divide both sides by 2.
...(i)
The second inequality is:
Subtracting 1 from both sides, we get
Adding on both sides, we get
Divide both sides by 5.
...(ii)
Using (i) and (ii), we get
Therefore, the required range is .
Answer:
c
Step-by-step explanation:
Answer:
Option B) $122,140
Step-by-step explanation:
we know that
The formula to calculate continuously compounded interest is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
e is the mathematical constant number
we have
substitute in the formula above
Round to the nearest dollar
Answer:
2 sessions, $231
Step-by-step explanation:
Make an equation (let x represent the number of sessions)
59+86x=63+84x
Subtract 84x from both sides
59+2x=63
Subtract 59 from both sides
2x=4
Divide by 2
x=2
At 2 sessions they will be equal
To find the cost, substitute 2 in for x
59+86(2)=63+84(2)
59+172=63+168
231=231
So, at 2 sessions the plans will cost the same at $231
Hope this helps! :)