*5% in decimal form is 0.05.

After one week we have:

N=400*1.05 beetles

After two weeks we have:

N=(400*1.05)*1.05 beetles

After three weeks we have:

N=((400*1.05)*1.05)*1.05 beetles

We can write this as:

Week 1:

Week 2:

Week 3:

From this we can make conclusion that formula for number of beetles after w weeks is given by:

The correct answer is option (<span>B) Period: π; phase shift: x = π</span>

The equation for finding timeperiod and phase shift is: <span>**a tan(****bx****-c) +d**

where, a = amplitude

Time period = </span>π/b

phase shift = c/b

therefore, comparing the given equation we get, <span>f(x) = −4 tan(x − π) we get,

thus, answer is time period = </span>π

phase shift = π

Wheres the fraction thoe -_-

**Answer:**

1) tan 157.5=

2) sin 165 =

3) sin² 157.5 =

4) cos 330 =

**Step-by-step explanation:**

1)

By the identity

2)

By the identity 1-2sin²A = cos2A

3)

By the identity

4) 1/2(1-cos315) = 1/2[1-(1-2sin²315/2)] = sin²157.5

By the identity cos2A = 1-2sin²A

7d + 42 the answer to the question