Answer:80
Step-by-step explanation:
Answer:
$7120 or $7565 is the minimum average premium they should charge per policy holder
Step-by-step explanation:
Small business can charge 80-85% of the total value of the policy as premium.
In this case the spending per policy holder is $8900
Hence, per policy holder has to pay a premium of
80-85% of $8900
$7120 or $7565 is the minimum average premium they should charge per policy holder
Answer:the number of pounds of blueberry granola that she should put in the mixture is 10 pounds.
the number of pounds of apple granola that she should put in the mixture is 20 pounds
Step-by-step explanation:
Let x represent the number of pounds of blueberry granola that she should put in the mixture.
Let y represent the number of pounds of apple granola that she should put in the mixture.
She wants to make a 30 pounds mixture. This means that
x + y = 30
A store is selling a mixture of apple granola and blueberry granola for $6.99 per pound. This means that the cost of the 30 pound mixture would be
30 × 6.99 = $209.7
Blueberry granola costs $8.99 per pound and apple granola costs $5.99. This means that
8.99x + 5.99y = 209.7 - - - - - - - - - -1
Substituting x = 30 - y into equation 1, it becomes
8.99(30 - y) + 5.99y = 209.7
269.7 - 8.99y + 5.99y = 209.7
- 8.99y + 5.99y = 209.7 - 269.7
- 3y = - 60
y = - 60/ -3
y = 20
Substituting y = 20 into x = 30 - y, it becomes
x = 30 - 20 = 10 pounds
Answer:
x= -2/5
Step-by-step explanation:
(5x+2)=0
-2 -2
5x=-2
------------
5
x= -2/5
Answer:
cos(θ) = 3/5
Step-by-step explanation:
We can think of this situation as a triangle rectangle (you can see it in the image below).
Here, we have a triangle rectangle with an angle θ, such that the adjacent cathetus to θ is 3 units long, and the cathetus opposite to θ is 4 units long.
Here we want to find cos(θ).
You should remember:
cos(θ) = (adjacent cathetus)/(hypotenuse)
We already know that the adjacent cathetus is equal to 3.
And for the hypotenuse, we can use the Pythagorean's theorem, which says that the sum of the squares of the cathetus is equal to the square of the hypotenuse, this is:
3^2 + 4^2 = H^2
We can solve this for H, to get:
H = √( 3^2 + 4^2) = √(9 + 16) = √25 = 5
The hypotenuse is 5 units long.
Then we have:
cos(θ) = (adjacent cathetus)/(hypotenuse)
cos(θ) = 3/5
