Answer:
L=6x^2-4x+5
P=12x^2-4x-2
Step-by-step explanation:
A=WL
So, we know the area is 6x^2-8x-30 and the width is 2x-6
Substitute
(6x^2-8x-30)=(2x-6)(L)
L=(6x^2-8x-30)/(2x-6
Divide
L=6x^2-4x+5
P=2L+2W
Substitute
P=2(6x^2-4x+5)+2(2x-6)
P=12×^2-8x+10+4x-12
Simplify
P=12x^2-4x-2
Answer:
M = 20
Step-by-step explanation:
Given that M is directly proportional to r³ then the equation relating them is
M = kr³ ← k is the constant of proportion
To find k use the condition when r = 4, M = 160, that is
160 = k × 4³ = 64k (divide both sides by 64 )
2.5 = k
M = 2.5r³ ← equation of proportion
When r = 2, then
M = 2.5 × 2³ = 2.5 × 8 = 20
$4.5 since 1.26/7 is .14 and need 25 so it’s 4.5
We have been given that an account is opened with a balance of $3,000 and relative growth rate for a certain type of mutual fund is 15% per year.
In order to tackle this problem we have to find the value of mutual fund after 5 years. For our purpose we will use compound interest formula.
,where A= amount after t years, P= principal amount, r= interest rate (decimal) and t= number of years.
After substituting our given values in above formula we will get
Now we will solve for A
Therefore, after 5 years mutual fund is worth $6034.07.
X square + 1x + 4x + 4
X(x+1)+4(x+1)
(X+1)(x+4)
