Step-by-step explanation:
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Answer:
A = 157 in^2
Step-by-step explanation:
First, we need to get the radius, we can do this by dividing our given diameter by 2.
20/2 = 10
Now, we have our radius of 10 inches.
Formula for Area of a Semi Circle: (1/2)(pi(r^2)
Input values.
(1/2)(3.14(10^2)
Solve.
(1/2)(3.14(100)
(1/2)(314)
1/2(314) = 157
Finally, we have our result which is 157 inches^2.
Answer:
Here's what I find.
Step-by-step explanation:
You have 800 deer at the end of Year 1, and you expect the population to decrease each year thereafter.
a) i) The recursive formula
Let dₙ = the deer population n years after the initial measurement.

For this situation,

a) ii) Definitions
n = the number of years from first measurement
r = the common ratio, that is, the deer population at the end of one year divided by the population of the previous year.
a) iii) First term of sequence
The first term of the sequence is d₀, the population when first measured.
b) The function formula
The formula for the nth term of a geometric series is

c) Value of d₀
Let n = 2; then d₂ = 800

Answer:
Option (d) is correct.
Step-by-step explanation:
The initial amount Tommy has = $ 199
The actual amount that Tommy needs to purchase bike = 199 + 35 = $ 234
This is the price of the bike.
This condition can be true from option (d).
From option (d)
119 < b + 35
Put b = 234 we get
119 < 234 + 35
119 < 269
Thus the condition satisfied. so option (d) is correct.