Answer:
1) The terminal side lies in quadrant 2
2) cosФ = -15/17
3) tanФ = -8/15
Step-by-step explanation:
1) First, we should realize that since sinФ = 8/17, it is positive. Thus, Ф must be in quadrants 1 or 2. And since cosФ is negative, Ф must be in quadrant 2 because cos, sin, and tan are all positive in quadrant 1
2) Next, we must realize that the sides given are a 8-15-17 right triangle. And in this case, since sinФ = 8/17, cosФ should be 15/17. But since cosФ is negative, cosФ = -15/17
3) Lastly, tanФ is opposite/adjacent. Since opposite of Ф is 8 and adjacent of Ф is 15, then tanФ should be 8/15, but since Ф is in quadrant 2, then tanФ is -8/15
In an installment loan, a lender loans a borrower a principal amount P, on which the borrower will pay a yearly interest rate of i (as a fraction, e.g. a rate of 6% would correspond to i=0.06) for n years. The borrower pays a fixed amount M to the lender q times per year. At the end of the n years, the last payment by the borrower pays off the loan.
After k payments, the amount A still owed is
<span>A = P(1+[i/q])k - Mq([1+(i/q)]k-1)/i,
= (P-Mq/i)(1+[i/q])k + Mq/i.
</span>The amount of the fixed payment is determined by<span>M = Pi/[q(1-[1+(i/q)]-nq)].
</span>The amount of principal that can be paid off in n years is<span>P = M(1-[1+(i/q)]-nq)q/i.
</span>The number of years needed to pay off the loan isn = -log(1-[Pi/(Mq)])/(q log[1+(i/q)]).
The total amount paid by the borrower is Mnq, and the total amount of interest paid is<span>I = Mnq - P.</span>
Answer:
The total workers are<u> 2400.</u>
Step-by-step explanation:
Given:
In company 80% of the workers are women.
480 workers are men.
Now, to find the total workers in all.
<u><em>In first way:</em></u>
If women are 80%, then men would be 100-80 = 20%.
Let the total workers be 
.
According to question:
⇒
⇒
⇒
Dividing both sides by 0.20 we get:
⇒
.
Total workers = 2400.
<em><u>Now, in second way</u></em>.
Again, let the total workers be .
According to question:
⇒
<em>On solving:</em>
⇒
⇒
<em>Dividing both sides by 0.20 we get:</em>
⇒.
<em>Total workers = 2400.</em>
Therefore, the total workers are <u>2400</u>.
Answer:
the slope would be -5
Step-by-step explanation:
in linear equations, the slope of the line is the coefficient of x
so in this case, it is -5
To solve, you must use order of operations. The acronym used is BEDMAS (brackets, exponents, division/multiplication, addition/subtraction), which is the order you solve in.
F 20÷4x5
=5x5
=25
T 10+10÷2
=10+5
=15
F 6+4×5
=6+20
=26
<span>T 81÷9+2
=9+2
=11</span>
