Answer:
$4,3750.00
Step-by-step explanation:
Simple interest is calculated using the equation:
I = Prt
I = Interest
P = Principal
r = Rate
t = Time (years)
I = 2,500 * 3.5 * 5
43750 = 2,500 * 3.5 * 5
Therefore, the interest is $43750.00
8/15 = 56/105
This may be solved using proportion.
a/b = c/d
ad = bc where cross products are equal.
a = 8
b = f
c = 56
d = 105
ad = bc
8*105 = f*56
840 = 56f
840/56 = 56f/56
f = 15
56 ÷ 7 = 8
105 ÷ 7 = 15
Answer: y=2x-1
We know that the equation of a line is y = mx + b, where m is the gradient and b is the y-intercept.
First to find the gradient, we use the formula y2-y1/x2-x1.
x1 and y1 being the first set of coordinates (2,3) and x2 and y2 being the second set (4,7)
Now we sub in:
m=7-3/4-2
m=4/2
m=2
This is our gradient and we can put it into the equation: y=2x+b
Now we find the y-intercept (b). Since the y-intercept isn’t shown, we can sub in the coordinates to find it.
y=2x+b
Sub (2,3)
3=2(2)+b
3=4+b
-1=b
Sub (4,7)
7=2(4)+b
7=8+b
-1=b
Subbing in both coordinates gives us -1 as the y-intercept, so the finished equation is: y=2x-1
For this case we have the following trigonometric relationship:
cos (y) = 8/13
Clearing the value of and we have:
y = Acos (8/13)
Calculating the angle we have:
y = 52.02012756 degrees
Rounding off we have:
y = 52.02 degrees
Answer:
the measure of angle and is:
y = 52.02 degrees
