Answer: x = -5, x = 6
<u>Step-by-step explanation:</u>
"Solutions" are also called roots, zeroes, and x-intercepts and are where the parabola crosses the x-axis.
The parabola crosses the x-axis at x = -5 and at x = 6
(see attachment)
To answer this question, start by identifying the total amount of income after 5 years for the first contract.
Since you start with 15,000 and get 1000 more each year, write an expression that represents this relationship.
15000 + 1000(5)
Multiply the parenthesis to begin to simplify your expression.
This leaves you with:
15000 + 5000
Add to find the total salary after five years with the first contract.
This ends up with:
$20,000
For the second contract, you have a diffferent rate of increase. Start by finding what one percent of the initial salary is. To do this, divide 14000 by 100.
14000/100 = 140
Then to find ten percent, multiply that number by 10.
140 x 10 =1400
So, each year you add 1400 dollars to the salary.
Now, using this information, set up an expression to model the salary for contract 2 after 5 years.
This should leave you with:
14000 + 1400(5)
Begin to simplify by multiplying what’s in the parenthesis.
1400 x 5 = 7000
Now rewrite your expression:
14000 + 7000
Add to find the total salary after 5 years with contract 2.
14000 + 7000 = 21000
So the salary with contract 2 is $21,000.
So, since $21000 is $1000 more than just $20000, contract 2 is the better option. I hope this helps! :)
Answer:
The number of mosquitoes is maximum for 6.5 inches rainfall.
Step-by-step explanation:
The given function is
.... (1)
where, M(x) is number of mosquitoes in millions and x the June rainfall in inches.
We need to find the rainfall that produces the maximum number of mosquitoes.
Differential the above function with respect to x.
.... (2)
Equate first derivative equal to 0.
Differential function (2) with respect to x.
Double derivative is negative. So, the value of function is maximum at x=6.5.
Therefore, the number of mosquitoes is maximum for 6.5 inches rainfall.
18 by 12
because 6*3=18 and then 4*3=12 so this is your answer
The percent would be 29%. You need to move the decimal to the right twice.
