Answer: 28.27
Step-by-step explanation:
First, you can turn the diameter into a radius, giving you 3. Since the equation of an area in a circle is A=πr^2, you must square 3, giving you 9. Now you must multiply 9 with Pi, which is 3.14159265358, but just 3.14 for short. With that, you get about 28.27 as area.
Answer: $ 3462.03
Step-by-step explanation:
The exponential equation for growth (compounded continuously) is given by :-

, where P= Present value
r= growth rate ( in decimal)
t= time
As per given , we have
P=$1900, r = 6% =0.06 and t= 10
Substitute all the values in the above equation , we get


[To the nearest cent]
Hence, the balance in the account after 10 years = $ 3462.03
9514 1404 393
Answer:
15 sodas will give a maximum profit of 83
Step-by-step explanation:
For quadratic ax^2 +bx +c, the maximum occurs at x = -b/(2a). Here, we have ...
a = -1/3, b = 10
x = -b/(2a) = -10/(2(-1/3)) = 15
The profit for sale of 15 sodas is ...
P(15) = (-1/3s +10)s +8 = (-1/3(15) +10)(15) +8 = 5(15) +8 = 83
The company would earn a maximum of 83 from sale of 15 sodas.
Rewrite the equation into the general form: y=mx+b, where m represents slope.
We have:
x-y=8
-y=-x+8
y=x-8
Here, m happens to be 1. The slope of a perpendicular line to an equation is the negative reciprocal of the number.
For example, the negative reciprocal of 2 is -1/2 (so you 'flip' the number).
So the negative reciprocal of 1, or 1/1, is -1.
So the slope of the line perpendicular to that equation is -1.