Answer:
1.1 gigabytes
Step-by-step explanation:
Let us represent:
The number of gigabytes = g
Under his cell phone plan, Owen pays a flat cost of $67.50 per month and $4 per gigabyte. He wants to keep his bill at $71.90 per month.
The Equation is given as:
$71.90 = $67.50 + $4 × g
71.90 = 67.50 + 4g
71.90 - 67.50 = 4g
4.4 = 4g
x = 4.4/4
x = 1.1 gigabytes
Therefore, the number of gigabytes of data Owen can use while staying within his budget is 1.1 gigabytes
Answer:
30 trees
Step-by-step explanation:
Given the policy:
8 trees are cut down 48 trees will be planted
If homeowner is going to cut down five trees on his property how many trees will be planted
Since :
8 trees cut down = 48 planted
5 trees cut down = X
Cross multiply :
8 * X = 48 * 5
8X = 240
X = 240/8
X = 30
Hence, 30 trees will need to be planted
Pretty difficult problem, but that’s why I’m here.
First we need to identify what we’re looking for, which is t. So now plug 450k into equation and solve for t.
450000 = 250000e^0.013t
Now to solve this, we need to remember this rule: if you take natural log of e you can remove x from exponent. And natural log of e is 1.
Basically ln(e^x) = xln(e) = 1*x
So knowing this first we need to isolate e
450000/250000 = e^0.013t
1.8 = e^0.013t
Now take natural log of both
Ln(1.8) = ln(e^0.013t)
Ln(1.8) = 0.013t*ln(e)
Ln(1.8) = 0.013t * 1
Now solve for t
Ln(1.8)/0.013 = t
T= 45.21435 years
Now just to check our work plug that into original equation which we get:
449999.94 which is basically 500k (just with an error caused by lack of decimals)
So our final solution will be in the 45th year after about 2 and a half months it will reach 450k people.
Answer:
s = ![\sqrt[3]{999} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B999%7D%20%7D)
Step-by-step explanation:
V = s^3
Plug in the given volume.
999 = s^3
Take the third root of both sides to cancel out the ^3.
= s
Answer:
PQ = 20
Step-by-step explanation:
Theorem: The length of the median of a trapezoid is the average of the base lengths.
PQ + 12 = 32
PQ = 20
See how easy that is if you know the theorem!
