First, lets note that

. This leads us with the following problem:

Lets add sin on both sides, and we get:

Now if we divide with sin on both sides we get:

Now we can remember how cot is defined, it is (cos/sin). So we have:

Now take the inverse of cot and we get:

In general we have

, the reason we have to add pi times n, is because it is a function that has multiple answers, see the picture:
The first year, the amount is 40,000
the second year is 40000 + 4.2% of 40000, or 0.042 * 4000, so 40000+(0.042*4000)
common factoring that we get 40000(1 + 0.042), or just 40000(1.042)
in short, the starting amount is 40000, and to get the next term's value you'd use the "common ratio" of 1.042, namely the multiplier of 1.042.
for the third year it'll be 40000(1.042) + (0.042 *
40000(1.042) ), again, common factoring that
40000(1.042)(1 + 0.042) or 40000(1.042)(1.042) or 40000(1.042)²
therefore,
Answer:
Oof
Step-by-step explanation:
First, change the denominators cuz, math. Then just do the math. Why you asking me?
Answer:
C, -50*hours+475
Step-by-step explanation:
We are trying to get the total distance left, so we are subtracting the distance traveled from the total. If we travel at 50 miles per hour then the distance traveled is equal to 50*hours and if you subtract that from the total you ahve the distance left.