If we integrate dx/dt we get x, which is the number of calculators. To find the number of calculators between the beginning of third week to the end of fourth week (the beginning of fifth week), this integration must be evaluated at t between 3 and 5.

$x=\int\limits^5_3 {\frac{dx}{dt}} \, dt =\int\limits^5_3 {5000(1-\frac{100}{(t+10)^2})} \, dt$

the result of the integration is:

$x=5000(t+\frac{100}{t+10})$ to be evaluated between 3 and 5, which is:

$x=5000(5+\frac{100}{5+10})-5000(3+\frac{100}{3+10})=\frac{190000}{39}=4871.8$

6 0

2 years ago

If I earned $1 every 3 months, how many months until I earn $1000?

KatRina [158]

Answer: 250 years

Step-by-step explanation:

12/3=4

4 x $1 = $4 per year

$1000/4=250

250 years

3 0

2 years ago

Read 2 more answers

What is the vertex of the quadratic function f(x)=(x-6)(x+2)

Hunter-Best [27]

The vertex to this quadratic equation is 2

6 0

3 years ago

Please help will give brainliest

Ivanshal [37]

Answer:

$\frac{1}{2}$

Step-by-step explanation:

Honestly not sure what all the numbers you put down were (numbers for the graph?), but here is how to find the slope :)

First, find two "exact" points!

I am going to use (0, 1) and (2, 2)

We then go to our first point, (0, 1), and count how many points up it is until we are on the same x-axis of our y. This is 1. We then do the same thing for the y-axis. This is 2. It is rise over run, so the answer is $\frac{1}{2}$

(I hope this helps, have a nice day!)

4 0

2 years ago