Answer: $787 was originally borrowed.
Step-by-step explanation:
The formula for determining simple interest is expressed as
I = PRT/100
Where
I represents interest paid on the loan.
P represents the principal or amount taken as loan
R represents interest rate
T represents the duration of the loan in years.
From the information given,
Total amount = $1181.05
Interest = total amount - principal
I = 1181.05 - P
R = 15%
T = 1 year
Therefore,
1181.05 - P
Therefore,
1181.05 - P = (P × 15 × 1)/100
1181.05 - P = 0.15P
P + 0.15P = 1181.0
1.5P = 1181.05
P = 1181.05/1.5
P = $787
Answer:
the distance is 8
Step-by-step explanation:
Answer:
Starting from the one on the left.
Upper left:
145 degrees
Down left:
35 degrees
Down right:
145 degrees.
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Now for the right image.
Upper left:
153 degrees
Down left:
27 degrees
Down right:
153 degrees
Step-by-step explanation:
Apply the same steps for the second image as for the first.
One thing to keep in mind is that a flat line (horizontal or vertical), as an angle of 180 degrees.
And another useful reminder is that opposed angles have the same degree.
Starting from the one on the left.
Upper left:
180 - 35 = 145 degree
Down left:
since it is opposed to the upper right angle which is 35 degrees this one is also equal to 35 degrees.
Down right:
since it is opposed to the upper left angle which is 145 degrees this one is also equal to 145 degrees.
You can always double check by making sure one flat side (left or right or up or down), is equal to 180 degrees.
example: on the right image, for the down part, I wrote as answers 27 degrees (for down left because it is opposed to upper right) and 153 degrees (for down right because it is opposed to upper left) => 153 + 27 = 180 degrees
Answer:
80
Step-by-step explanation:
Answer:
(2.2, 0.5, 1.1)
Step-by-step explanation:
The parametric equation of the line normal to the plane and through point (2, 0, 1) can be written ...
... L = (2, 0, 1) + t(2, 5, 1)
We want to find the value of t (and the corresponding point) that makes L satisfy the equation of the plane.
... 2(2+2t) +5(0 +5t) +1(1+t) = 8 . . . . . put values from L in for x, y, z in plane
... 5 + 30t = 8 . . . . . simplify
... t = (8 -5)/30 = 0.1 . . . . solve for t (subtract 5, divide by 30)
For this value of t, L is ...
... (2, 0, 1) + 0.1(2, 5, 1) = (2.2, 0.5, 1.1)
