Answer:
In the long run cost of the refrigerator g(x) will be cheaper.
Step-by-step explanation:
The average annual cost for owning two different refrigerators for x years is given by two functions
f(x) = 
= 
and g(x) = 
= 
If we equate these functions f(x) and g(x), value of x (time in years) will be the time by which the cost of the refrigerators will be equal.
At x = 1 year
f(1) = 850 + 62 = $912
g(1) = 1004 + 51 = $1055
So initially f(x) will be cheaper.
For f(x) = g(x)
= 


x = 
Now f(15) = 56.67 + 62 = $118.67
and g(x) = 66.93 + 51 = $117.93
So g(x) will be cheaper than f(x) after 14 years.
This tells below 14 years f(x) will be less g(x) but after 14 years cost g(x) will be cheaper than f(x).
Answer:
Use the formula π*(r^2) where r is radius
Area of big circle, all 3=314.1592654 (approximately) and this is =100%
Area of middle circle=153.93804
Area of small circle=78.53981634
Percentage of middle circle with small circle = (153.93804/314.1592654)*100= 48.999999999999 approx= 49%
Percentage of small circle alone = (78.53981634/314.1592654)*100
= 25%
So 51%= big circle alone
And 51%+25%= 76%
100%-76%=24%
Answer:
sin−1(StartFraction 8.9 Over 10.9 EndFraction) = x
Step-by-step explanation:
From the given triangle JKL;
Hypotenuse KJ = 10.9
Length LJ is the opposite = 8.9cm
The angle LKJ is the angle opposite to side KJ = x
Using the SOH CAH TOA Identity;
sin theta = opp/hyp
sin LKJ = LJ/KJ
Sinx = 8.9/10.9
x = arcsin(8.9/10.9)
sin−1(StartFraction 8.9 Over 10.9 EndFraction) = x
1/10 of 2000 is 200 pounds. so 200 pounds of cheese
i guess you mean 100 times more lettuce than beef so that would be 200,000 pounds of lettuce
200+200,000=200,200 final answer