Answer:
x² + (y + 8)² = 81
Step-by-step explanation:
Centre (h,k) = (0,-8)
radius (r) = 9
(x - h)² + (y - k)² = r²
(x - 0)² + (y + 8)² = 9²
x² + (y + 8)² = 81
Answer:
Margin of error of 0.0485 hours.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
That is z with a pvalue of
, so Z = 1.96.
Now, find the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.
In this question:

The margin of error is of:



Margin of error of 0.0485 hours.
1. 42 cards
2. 3/5 of his cards
Answer:
a) The implied differential equation is 
b) The general equation is 
c) The particular equation is 
d) The population when t = 5, N(5) = 697 = 700( to the nearest 50)
Step-by-step explanation:
The rate of change of N(t) can be written as dN/dt
According to the question, 

Integrating both sides of the equation

When t = 0, N = 400

When t = 3, N = 650

The equation for the population becomes:

At t = 5, the population becomes:

N(5) = 700 ( to the nearest 50)
I = Prt
P = i / rt
P = 288 / (0.016 * 3)
P = 288 / 0.048
P = 6,000
answer
He should deposit $6,000