Artificial turf on athletic fields was first introduced in the 1960’s. It’s safety has been controversial since then. One issue
that has been investigated is wether injuries of football players tend to be more serious on artificial turf instead of grass. A study followed 24 NCAA division 1A college teams over 3 seasons.
In total, there were 1,050 injuries that occurred on field turf. Of the field turf injuries, 83.3333% were minor, and 10.857% were substantial. 77.972% of grass injuries were minor. 4.26% of injuries occurred on grass and were severe. How many injuries were severe and occurred on field turf? How many injuries were severe?
In total, there were 1,050 injuries that occurred on field turf. Of the field turf injuries, 83.3333% were minor, and 10.857% were substantial. 77.972% of grass injuries were minor. 4.26% of injuries occurred on grass and were severe. How many injuries were severe and occurred on field turf? How many injuries were severe?
2 answers:
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Answer:
Step-by-step explanation:
step 1
<u><em>Simple interest</em></u>
we know that
The simple interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
in this problem we have
substitute in the formula above
step 2
<u><em>Interest compounded annually</em></u>
we know that
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
substitute in the formula above
step 3
Find the differences between the two final amounts
You would expand becausee it isn't equal to anything
(x+3)^3=(x+3)(x+3)(x+3)
we can use binomial theorem or pascal's triangle
anyway, pascal's triangle is more practicl for this one
so
for the 3rd power
a=x
b=3
=
(x+3)^3=(x+3)(x+3)(x+3)
we can use binomial theorem or pascal's triangle
anyway, pascal's triangle is more practicl for this one
so
for the 3rd power
a=x
b=3