Answer:
After 3 years the value is 2336
This situation represents exponential decay
the equation is y=3000(.92)
V=LWH=20
L is 5 more than W
V=5+W
H is 1 less than W
H=-1+W
easy, sub 5+W for L and -1+W for H in LWH=V=20
20=(5+W)(W)(-1+W)
expand
20=W^3+4W^2-5W
minus 20 both sides
W^3+4W^2-5W-20=0
either factor or graph to find the possible values for W
(W+4)(W^2-5)=0
set each to zero
W+4=0
W=-4
impossible, measures cannot be negative
W^2-5=0
add 5
W^2=5
sqrt both sides
W=√5
sub back
L=5+W
L=5+√5
aprox
7.24 rounded
H=-1+W
H=-1+√5
aprox
1.24 rounded
the dimentions are
√5 by (5+√5) by (-1+√5) or aprox
2.24in by 7.24in by 1.24in
Answer:
Question 4: (C)
Question 5: (B)
Step-by-step explanation:
Answer:
5 gallons
Step-by-step explanation:
We can use ratios to solve
5/12 gallon x gallons
---------------- = -------------------
1/24 minute 1/2 minute
Using cross products
5/12 * 1/2 = x *1/24
5/24 = x/24
Multiply each side by 24
24*5/24 = x/24*24
5=x
We can pump 5 gallons
