Answer:
Step-by-step explanation:
<u>Exponential Growth</u>
The natural growth of some magnitudes can be modeled by the equation:
Where P(t) is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.
It's given the annual sales for a surf shop are Po=$130,000. They are increasing at a rate of r=7% = 0.07 per year. Substituting values, the function is:
The value of the function after t=7 years is
Computing:
Answer:
Part (A) Factored using GCF is: 2(x² + 2) → (GCF is 2)
Part (B) Factored using GCF is: 2x³(3x-1) → (GCF is 2x³)
Step-by-step explanation:
Greatest Common Factor or GCF, is whichever value that fits into both terms. For example if you have 2, 4, and 6, 2 is the biggest value that fits into all 4 terms.
To factor using GCF, simply find the GCF of both terms, and take it out, then multiply what you have remaining by whatever the GCF is.
Answer:
x= 3
y= 2
Step-by-step explanation:
The given equations are :
2x-5y = -4 equation 1
x +6y = 15 equation 2
We will multiply the equation:2 by 2
2(x+6y=15)
2x+12y=30 equation 3
Lets call this equation:3
Now we will use the elimination method:
Subtract equation 3 from equation 1:
2x-5y = -4
2x+12y=30
_________
-17y = -34
y= -34/-17
y = 2
Now put the value of y in any equation:
We will use equation 1
2x-5y = -4
2x-5(2)= -4
2x-10= -4
Move the constant to the R.H.S
2x= -4+10
2x=6
Divide both the terms by 2
x= 3
Therefore the solution set is (x,y){(3,2)}....
-0.4a = 7 - 3
-0.4a = 4
a = -10