Circumference of circle= 2*idonthaveapisymbol*r
2pir
Or
Pi x diameter = 3.14 * 20
2(3.14)(10)
Question:
A solar power company is trying to correlate the total possible hours of daylight (simply the time from sunrise to sunset) on a given day to the production from solar panels on a residential unit. They created a scatter plot for one such unit over the span of five months. The scatter plot is shown below. The equation line of best fit for this bivariate data set was: y = 2.26x + 20.01
How many kilowatt hours would the model predict on a day that has 14 hours of possible daylight?
Answer:
51.65 kilowatt hours
Step-by-step explanation:
We are given the equation line of best fit for this data as:
y = 2.26x + 20.01
On a day that has 14 hours of possible daylight, the model prediction will be calculated as follow:
Let x = 14 in the equation.
Therefore,
y = 2.26x + 20.01
y = 2.26(14) + 20.01
y = 31.64 + 20.01
y = 51.65
On a day that has 14 hours of daylight, the model would predict 51.65 kilowatt hours
Answer:
Step-by-step explanation:
2x+3y=15
x-3y=18
------------------
x=3y+18
2(3y+18)+3y=15
6y+36+3y=15
9y=15-36
9y=-21
y=-21/9
simplify
y=-7/3
x-3(-7/3)=18
x+7=18
x=18-7
x=11
Answer: x=11, y=-7/3. (11, -7/3).
---------------------------------------------
2x+3y=20
-2x+y=20
----------------
4y=40
y=40/4
y=10
2x+3(10)=20
2x+30=20
2x=20-30
2x=-10
x=-10/2
x=-5
Answer: x=-5, y=10. (-5, 10).
-------------------------------------------
3x-4y=-5
-10x+4y=12
--------------------
-7x=7
x=7/-7
x=-1
3(-1)-4y=-5
-3-4y=-5
4y=-3-(-5)
4y=-3+5
4y=2
y=2/4
simplify
y=1/2
Answer: x=-1, y=1/2. (-1, 1/2).
Continuous compounding is the mathematical limit that compound interest can reach.
It is the limit of the function A(1 + 1/n) ^ n as n approaches infinity. IN theory interest is added to the initial amount A every infinitesimally small instant.
The limit of (1 + 1/n)^n is the number e ( = 2.718281828 to 9 dec places).
Say we invest $1000 at daily compounding at yearly interest of 2 %. After 1 year the $1000 will increase to:-
1000 ( 1 + 0.02/365)^365 = $1020.20
with continuous compounding this will be
1000 * e^1 = $2718.28
