Answer:
The first loan L1 = $20,000
This is the loan with 3% simple interest
The second loan L2 = $4,000
This is the loan with 5.5% simple interest
Step-by-step explanation:
L1 + L2 = $24,000 ...(1)
4(3% of L1) + 4(5.5% of L2) = $3,280 ...(2)
Where the first term in equation (2) represents the total interest paid on loan 1 after 4 years
The second term represents total interest accruing to loan 2 after 4 years
From equation (1), we single out L1
L1 = 24,000 - L2
Substitute this value for L1 in equation (2)
288,000 + 10L2 = 328,000
L2 = $4,000
L1 = $24,000 - $4,000 = $20,000
Answer:
y = 14
Step-by-step explanation:

When x = 2:


That's it. :)
Answer:
The angle between the ramp and the horizontal is 11.54 degrees
Step-by-step explanation:
Here, we want to get the angle between the ramp and the horizontal
What we have to do here is to bring the measure of 2 m near to the edge leftwards, so we can have a right triangle
Now, the angle we want to calculate is the angle that faces the measure 2 m
The given measure of 10 m will represent the hypotenuse of the right triangle
The trigonometric ratio that links the hypotenuse and the opposite is the sine
The sine is the ratio of the opposite to the hypotenuse
Thus, we have it that;
sin theta = opp/hyp
sin theta = 2/10
sin theta = 0.2
theta = sin^-1 0.2
theta = 11.54
Answer:
CBA = DEF
Step-by-step explanation:
DEF is the answer because CBA is the exact same triangle as the other one, it just upsidedown.
Given:
The equation of line is
.
A line is parallel to given equation and passes through the point (-4,-8).
To find:
The equation of parallel line.
Solution:
The equation of a line is

On comparing this equation with
, we get

So, slope of given line is -3.
We know that, slopes of parallel lines are equal. It means, the slope of the parallel line is also -3.
The parallel line passes through (-4,-8) and having slope -3. So, the equation of line is






Therefore, the equation of parallel line is
.