The pattern is:
1, 1, 2, 6, 24, 120
v v v v v
x1 x2 x3 x4 x5
so the next one would be 720 bc 120x6
the one after that would be 5,040 bc 720x7
the last one would be 40,320 bc 5,040x8
Answer:
Graph is below
Step-by-step explanation:
I graphed the point on the graph below.
Answer:
5.6 meters
Step-by-step explanation:
V = pi r^2 h
We want to solve for h
Divide each side by pi r^2
V/ pi r^2 = pi r^2 h/ pi r^2
V/ pi r^2 =h
We know v = 440 pi = 22/7 and r = 5
440 / ( 22/7 * 5^2) = h
440 / (22*25/7) = h
440*7/550 = h
5.6 = h
Let's have a variable for each rate
x = account 1 (2.5% rate of interest)
y = account 2 (8% rate of interest)
The formulas we need are:
0.025x + 0.08y = 830 (amount of interest paid)
x + y = 20 000 (combined amount invested)
To solve we will use substitution (isolate for one variable and plugging into the other formula):
x + y = 20 000
x = 20 000-y
0.025x + 0.08y = 830
0.025(20 000-y) + 0.08y = 830
500-0.025y+0.08y=830
500+0.055y=830
0.055y=330
y=6000
Now that we know y (the 2nd account) = $6000 we need to find x. We do this by using the previous formula.
x = 20 000-y
x=20 000 - 6000
x=14000
She invested $14 000 at a 2.5% interest rate and $6 000 at a 8% interest rate.
*Notes:
the percentages were converted into decimal form
you check your answer by plugging the numbers back into the 2 formulas we made
