In order to determine the balance of the account, use the following formula for the amount of money obtained after t years, basen on a compound interest:
where,
P: principal = $12,500
A: amount earnt after t years = ?
r: interest rate in decimal form = 0.045 (4.5%)
n: times at year for the compund interes = 4 (quaterly)
Replace the previous values of the parameters into the formula for A and simplify:
Hence, the balance after 8 years is approximately $17,880.64 in the account.
The interest earnt by the account is given by the difference between the previous result and the principal invesment:
I = $17,880.64 - $12,500 = $5,380.64
Hence, the interest earnt is $5,380.64
The average rate of change is calculated as the slope of the line between the two points on the graph. Since at x = 1, y = -3, and at x = 3, y = 1, these are the two points which we calculate the slope from. Using the formula
m = (y2 - y1)/(x2 - x1)
m = (1 - (-3))/(3 - 1)
m = 4/2
m = 2
Therefore the slope, or the average rate of change, between these points is 2.
You start by writing your expression. Since each banner cost 28 per yard, you're going to multiply the price by the length by the number of banners she bought. (28)(17/8)(2)+(28)(25/8)=206.50
The equation is y= (5/2)x - 29. Hope this helps
When tan theta = 1 theta = 45 degrees in the first quadrant.
When its = -1 one value of theta is -45 degrees.
Also as the tangent is negative in the second quadrant theta can also be 135 degrees or - 225 degrees.
in fourth quadrant we have 315 degrees.
Its not 225 degrees because the tangent is positive in 3rd quadrant.
Correct answer is a, b, c and e.
