Answer:
$395.61
Step-by-step explanation:
The formula for simple interest is:
Where
i is the interest amount
P is the principal amount
r is the rate of interest per time period
t is the time period
Here,
P = 4869
we want to find after 30 months, that converted to years is:
30/12 = 2.5 years
t = 2.5
The annual rate is 3.25% = 0.0325
Now, substituting, we find our answer:
The interest earned is <u>$395.61</u>
Answer:
I would say the answer is b
Step-by-step explanation:
Cos9x - cos5x = -2sin2x.sin7x
sin17x - sin3x = 2sin7x.cos10x
so f(x) =
=
Answer:
Step-by-step explanation:
1/2(7x - 6) = 6x - 10
7/2x - 3 = 6x - 10 .....multiply by 2
7x - 6 = 12x - 20
-6 + 20 = 12x - 7x
14 = 5x
14/5 = x <===
Perpendicular lines refers to a pair of straight lines that intercept each other. The slopes of this lines are opposite reciprocal, meaning that it's multiplication is -1.
On this case they give you the equation of a line and a point, and is asked to find the equation of a line that is perpendicular to the given one, and that passes through this point.
-2x+3y=-6 Add 2x in both sides
3y=2x-6 Divide by 3 in both sides to isolate y
y=2/3x-6/3
The slope of the given line is 2/3, which means that the slope of a line perpendicular to this one, needs to be -3/2. Now you need to find the value of b or the y-intercept by substituting the given point into the formula y=mx+b, where letter m represents the slope.
y=mx+b Substitute the given point and the previous slope found
-2=(-3/2)(6)+b Combine like terms
-2=-9+b Add 9 in both sides to isolate b
7=b
The equation that represents the line perpendicular to -2x+3y=-6 and that passes through the point (6,-2), is y=-3/2x+7.
