Answer:

Step-by-step explanation:
Let (x,y) represents a point P on the curve,
So, the slope of the curve at point P = 
According to the question,


Integrating both sides,






Since, the curve is passing through the point (0, 5),

Hence, the required equation of the curve is,

Answer:
y=886000(1.04)^t
t=1 year so answer is 886000*1.04 = 921440
Answer:
r = 6
Step-by-step explanation:
Given that p varies directly as r, then the equation relating them is
p = kr ← k is the constant of variation
To find k use the condition p = 4, r = 2
k =
=
= 2
p = 2r ← equation of variation
When p = 12
12 = 2r ( divide both sides by 2 )
hence r = 6
Answer:
$9.00
Step-by-step explanation:
First, find the total cost
3 large pizzas at $10 each
3*10=30
5 small drinks at $1.50 each
5*1.50=7.5
Tip
7.5
Add all the costs together
30+7.5+7.5=45
Now, find how much each person paid. Divide the total cost by the number of people
total cost/people
The total cost is $45, and there are 5 people (Natalia and 4 friends)
45/5=9
Each person pays $9.00