Answer:
The compound interest one is better by about 14 bucks.
Step-by-step explanation:
Simple interest:
500(1+.06*10)=800
Compound interest:
500(1+.05)¹⁰=814.45
Answer:
The expected payout of the game is $230.46.
Step-by-step explanation:
The given table is
Payout Amount : $160 $4400 $145000
Probability : 0.146 0.024 0.0007
We need to find the expected payout of the game.
The formula for expected payout is

where, n is amount and P(x) is probability of that event. The value of n is negative for loss.
Using the above formula we get



Therefore the expected payout of the game is $230.46.
Answer:
<h2>-3n = 27</h2>
Step-by-step explanation:
The product of a number and negative three is twenty-seven.
<em>n - </em><em>a number</em>
the product of a number and negative three: <em>n · (-3) = -3n</em>
Step-by-step explanation:

We start with Left hand side
We know that csc(x) = 1/ sin(x)
So csc(2x) is replaced by 1/sin(2x)

Also we use identity
sin(2x) = 2 sin(x) cos(x)

4 divide by 2 is 2
Now we multiply top and bottom by sin(x) because we need tan(x) in our answer



We know that sinx/ cosx = tan(x)
Also 1/ sin(x)= csc(x)
so it becomes 2csc^2(x) tan(x) , Right hand side
Hence verified
Answer:
The correct option is (A).
Step-by-step explanation:
The equation for the Estimated Energy Requirement (EER) of 19 or more years older men is:

Here,
AGE = age counted in years
PA = appropriate physical activity factor
WT = weight in kilograms
HT = height in meters
The physical activity factor for men and women is:
Activity Level PA (men) PA (Women)
Sedentary 1.00 1.00
Low 1.11 1.12
Active 1.25 1.27
Very Active 1.48 1.45
Given:
AGE = 22 year-old male college student
PA = low = 1.11
WT = 180 pounds = 81.6466 kg
HT = 5'10" = 1.778 m
Compute the value of EER as follows:


Thus, the EER for a 22-year-old male college student is approximately 2962 kcal.
The correct option is (A).