If it is a ratio of 3:5 you are dividing 480 into 8 parts (3+5).
So divide 480 by 8: 480/8 = 60
Then the ratio is (3x60):(5x60) or 180:300
To check it is correct, add up the two parts to see that they come to 480:
180+300 = 480. All good.
Hope this helps
The measure of the angle ∠PQR is 90 degrees
<h3>How to prove that ∠PQR is 90 degrees?</h3>
The equation of the line PQ is given as:
3x - y - 2 = 0
The coordinates of the QR are given as:
(0, -2) and (6, -4)
Make y the subject in 3x - y - 2 = 0
y = 3x - 2
The slope of the above line is
m1 = 3
Next, we calculate the slope (m2) of points Q and R.
So, we have:
m2 = (y2- y1)/(x2 - x1)
This gives
m2 = (-4 + 2)/(6 - 0)
Evaluate
m2 = -1/3
The slopes of perpendicular lines are opposite reciprocals.
m1 = 3 and m2 = -1/3 are opposite reciprocals.
This means the lines PQ and QR are perpendicular lines.
The angle at the point of perpendicularity is 90 degrees
Hence, the measure of the angle ∠PQR is 90 degrees
Read more about linear equations at:
brainly.com/question/15602982
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Answer:
$56,558.1
Step-by-step explanation:
This is a question on compound interest.
The formula to calculate the Total Amount based on compound interest is given as:
A = P( 1 + r/n) ^nt
A = Total or Final amount in the account after t years
P = Principal/ Initial amount invested=$35,000
r = Interest rate = 12%
n = compounding Frequency = daily = using 30 days in a month = 30 × 12 = 360 days
t = time in years = 4
A = $35,000( 1 + 0.12/360)^360 × 4
A = $56558.08
Approximately to the nearest cent ≈ A = $56,558.1
Therefore, Priscilla should be expecting $56,558.1 in the account after 4 years.
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
hope this helps :)
