This is a linear equation or y=mx+c. Where y is the number of mosquitos at a particular month and x is the number of months. We know the initial population of the mosquitoes is c=20. They population doubles every month so this is the gradient, m=2. Therefore the equation for the growth of the mosquito population is:
y = 2x + 20.

So after x= 10 months the mosquito population will be,
y=2(10)+20= 40.

There will be 40 mosquitoes after ten months.

7 0

3 years ago

A loan of $990 was repaid at the end of 6 months with a check for 1015. What annual interest was charged

ANEK [815]

The answer is .42%

Explained

I / PT = R

I = The amount of interest paid

P = The amount paid before adding interest

T = The time (weeks, months, years)

R = Interest Rate (must move 2 decimal place to the right)

8 0

3 years ago

The difference between two positive integers is 3. If the smaller is added to the square of the larger, the sum is 87.

Komok [63]

Let x be larger integer so x-3 is the smaller
so x^2+ x-3 = 87
x^2 +x -90=0 and factor
(x-9)(x+10)=0
x=9 or x=-10 but x must be positive
so x=9 and smaller number is 6

6 0

3 years ago