Answer:
$3952.13
Step-by-step explanation:
Annuity amount = future value / annuity factor
Annuity factor = {[(1+r)^n] - 1} / r
FV = Future value = $75,000
R = interest rate = 8%
N = number of years = 12
Annuity factor = [(1/08)^12 - 1 ] / 0.08 = 1.8977126
Annuity amount = $75,000 / 1.8977126 = $3952.13
The two opposite arcs add to the entire circle, 360 degrees, so we must have EFG=360-60=300 degrees.
Answer: C
Answer:
15 units per unit
Step-by-step explanation:
From the graph we can easily tell that y increases from 0 to 15 as x increases from 2 to 3.
Thus, the average rate of change of f(x) on the interval [2, 3] is:
1 15 - 0 15 units
--------- * ----------- = -------------- = 15 units (rise) per unit (run).
3 - 2 1 1
Answer: x = 1 and y = 2
Given:
y = -3x + 5
5x - 4y = -3
Since we are given y, let’s sub it in the second equation.
5x - 4(-3x + 5) = -3
5x + 12x - 20 = -3
17x = 17
x = 1
After finding x, we can now find y.
5(1) - 4y = -3
-4y = -8
y = 2
Checking:
y = -3x + 5
2 = -3(1) + 5
2 = 2
5x - 4y = -3
5(1) - 4(2) = -3
-3 = -3
Hmm, it looks like it could be commutative property of multiplication.
The order of the expression is different.
4(2+3)=
4(5)=20
(2+3)4=
(5)4= 20
