Answer:
A. 
Step-by-step explanation:
Given:
Volume of the cylindrical container before dilation, 
Scale factor of the dilation, 
Therefore, the volume of the dilated cylinder is given as:
Plug in 1 gal for 
and 
for SF. Solve for 
. This gives,
Therefore, the volume of the dilated cylinder is gallons.
Answer: Choice A) $4500.33
---------------------------------------------------------------------
Explanation:
The formula you'll use is
F = P*(1+r)^t
where
F = final amount
P = initial amount
r = growth rate (in decimal form)
t = time in years
In this case,
F = unknown (this is what we're trying to figure out)
P = 3046
r = 0.05 (since 5% = 5/100 = 0.05)
t = 8
Plug those three known values into the formula and evaluate
F = P*(1+r)^t
F = 3046*(1+0.05)^8
F = 3046*(1.05)^8
F = 3046*1.4774554
F = 4500.3291484
F = 4500.33 ... round to the nearest penny
Answer:
after 4 rule violations he will recieve -100 points. so if total points is 100, then the driver gets 0 points
Answer:
A 5040
B 35
Step-by-step explanation:
A There are 7 ways to put the first picture. There are 6 pictures left and 6 ways to put the 2nd picture. There are now 5 pictures left and 5 ways to put the 3rd picture. And so on
7 * 6*5*4*3*2*1
5040
B If we can only have 3 pictures and order does not matter
7 choices for the first * 6 *5
But
We have to take into account order
The first picture can go into 3 slots, the second into 2 and the third 1 so divide by 6
(7*6*5)/ (3*2*1)
35
The answer is 5.
The triangle is 90° triangle, which means we can use the pythagorean theorem.
a^2xb^2=c^2
3^2=9
4^2=16
9+16=25
That means c^2=25
And the answer is c=5
