Helppp?

Modelling exponential growth and decay

1. The population of a town is currently 4000 and it is increasing at a rate of 3% per year.

(a). What is the growth rate

(b). Express the growth rate in months

(c). What is the population of the town after 5 years?

2. A bank pays 0.8% interest per month. What is the interest rate for one year(months-years)

3. Determine the monthly interest rate given the following annual interest rate(years-months)

36%

Answer:

I think you are solving for x and if I'm correct it should be x=11

Answer:

x= -11

Step-by-step explanation:

We simplify the equation to the form, which is simple to understand  

3x-4=18+5x

We move all terms containing x to the left and all other terms to the right.  

+3x-5x=+18+4

We simplify left and right side of the equation.  

-2x=+22

We divide both sides of the equation by -2 to get x.  

x=-11

Answer:

95,433.6 cm³

Step-by-step explanation:

The amount of material used to make 1 mold = volume of the rectangular prism - volume of the cone

Volume of cube = s³

s = 6 cm

Volume of cube = 216 cm³

Volume of the cone = ⅓πr²h

radius (r) = ½(4) = 2 cm

height = 6 cm

Volume of cone = ⅓*π*2²*6 = π*4*2 = π*8 = 25.13 cm³

Amount of material used for 1 mold = 216 - 25.13 = 190.87 cm³

To make 500 molds, it would require:

190.87 × 500 = 95,435 cm³ amount of materials.

This is close to 95,433.6 cm³

Answer:

5ft

Step-by-step explanation:

Given parameters:

Length of the pool  = 25ft

Width of the pool  = 15ft

Volume of water the pool can hold = 1875ft³ of water

Unknown:

Depth of the pool = ?

Solution:

The pool is in the shape of a cuboid.

The volume of a cuboid is given as;

        Volume of a cuboid  = L x width x depth

Insert the parameters and solve for the depth;

        1875  = 25 x 15 x depth

         depth = [tex]\frac{1875}{25 x 15}[/tex]   = 5ft

Answer:

-2100

Step-by-step explanation:

F(-7)=6(-7)^3+6(-7) = -2100

Answer:

Step-by-step explanation:

8x + 12 = 3x + 5x + 12

8x + 12 = 8x + 12

Bringing like terms on one side

8x - 8x = 12 - 12

x = 0

Answer:

x = 1

Step-by-step explanation: