Answer:
Step-by-step explanation:
To write an equation into slope-intercept form, or y = mx + b format, we need to find the y-intercept of the line and its slope and substitute values for m and b.
1) First, find the y-intercept. The y-intercept is the point at which the line intersects the y-axis. Reading the graph, we can see that the line passes the y-axis at the point (0,2), thus that is the y-intercept.
2) Next, find the slope. Pick out two points on the graph to use for the slope formula, 
. I chose to work with (0,2) and (6,1). Now, substitute the two points' x and y values into the formula appropriately and solve:
Thus, 
is the slope.
3) Now, substitute the calculated values into the y = mx + b format. The b represents y-value of the y-intercept. The y-intercept is (0,2), thus substitute 2 for b. The coefficient of the x term, or m, represents the slope, thus substitute for m. This will give the following equation of the line in slope-intercept format:
Hello! The formula for compound interest is P ( 1 + r/n)^nt, where P = principal, r = percentage rate, n = times compounded per year, t = amount of time in years. This can be confusing, so let's take it step-by-step. 5% is the rate. 5% in decimal form is 0.05. Semi-annually means every 6 months. In other words, this is compounded 2 times a year. 0.05/2 is 0.025. 1 + 0.025 is 1.025. We're looking for the amount over 6 years. Now, we multiply n and t together. 2 * 6 = 12. The amount will be compounded 12 times over 6 years, so we raise the decimal to the 12th power. 1.025^12 is 1.34488882425, but don't delete that decimal from your calculator. Now, multiply that decimal by 500. When you do, you get 672.444412123 or 672.44 when rounded to the nearest hundredth. There. Alecia's balance after 6 years is $672.44.
First lets see the pythagorean identities
So if we have to solve for sin theta , first we move cos theta to left side and then take square root to both sides, that is
Now we need to check the sign of sin theta
First we have to remember the sign of sin, cos , tan in the quadrants. In first quadrant , all are positive. In second quadrant, only sin and cosine are positive. In third quadrant , only tan and cot are positive and in the last quadrant , only cos and sec are positive.
So if theta is in second quadrant, then we have to positive sign but if theta is in third or fourth quadrant, then we have to use negative sign .
Answer:
Step-by-step explanation:
We can do this by cross multiplying.
14/6=x/21
=49/21
Answer:
1.20??
Step-by-step explanation:
5 DIVIDED BY 4
