Step-by-step explanation:
You use the I = PRN formula
P = 11 500
R = 7.25% but you have to 7.25 divide by 100 so it becomes a decimal so it should be 0.0725
N = 2 years and 6 months. This can be 2.5 years because half of 12 is 6
the solution is 11 500 × 0.0725 × 2.5 = 2084.38
Answer:
32 square units
Step-by-step explanation:
This problem can be readily solved if we are familiar with the point-slope form of straight lines:
y-y0=m(x-x0) ...................................(1)
where
m=slope of line
(x0,y0) is a point through which the line passes.
We know that the line passes through A(3,-6), B(1,2)
All options have a slope of -4, so that should not be a problem. In fact, if we check the slope=(yb-ya)/(xb-xa), we do find that the slope m=-4.
So we can check which line passes through which point:
a. y+6=-4(x-3)
Rearrange to the form of equation (1) above,
y-(-6)=-4(x-3) means that line passes through A(3,-6) => ok
b. y-1=-4(x-2) means line passes through (2,1), which is neither A nor B
****** this equation is not the line passing through A & B *****
c. y=-4x+6 subtract 2 from both sides (to make the y-coordinate 2)
y-2 = -4x+4, rearrange
y-2 = -4(x-1)
which means that it passes through B(1,2), so ok
d. y-2=-4(x-1)
this is the same as the previous equation, so it passes through B(1,2),
this equation is ok.
Answer: the equation y-1=-4(x-2) does NOT pass through both A and B.
Answer:
An angle can be named in different ways:
•by a number or letter written inside the angle.
•by the name of the vertex.
•by the vertex and a point on each ray.
Answer:
D 8√(10) ^3x
Step-by-step explanation:
We have
sqrt(10) ^ (3/4x)
We can rewrite the sqrt as ^1/2
10 ^ (1/2) ^ (3/4x)
We know that a^b^c = a^(b*c)
10 ^(1/2 *3/4x)
10 ^(3/8 x)
The numerator is the power
The denominator is the root
8√(10) ^3x
