Answer:
Point R is at (−20, 10), a distance of 30 units from point Q
Step-by-step explanation:
Q has coordinates (-20,-20).
P has coordinates (10,-20)
Since point R is vertically above point Q, it will have the same x-coordinate as Q.
Let R have coordinates (-20,y).
It was given that;
.
The coordinates of R are (-20,10).
The dstance from Q is 30 units.
It would take 25 years for Birr 500 to quadruple if invested at a rate of 12% simple interest per annum.
<h3 /><h3>Simple interest formula</h3>
Using the simple interest formula A = P(1 + rt) where
- P = princial amount = Birr 500,
- A = final amount = 4P (since it is quadrupled),
- r = rate = 12% = 12/100 = 0.12 and
- t = time to quadruple
<h3 /><h3>Finding the time it takes to quadruple </h3>
Since we require t, making t subject of the formula, we have
t = [(A/P) - 1]/r
Substituting the values of the variables into the equation, we have
t = [(A/P) - 1]/r
t = [(4P/P) - 1]/0.12
t = [4 - 1]/0.12
t = 3/0.12
t = 25 years
So, it would take 25 years for Birr 500 to quadruple if invested at a rate of 12% simple interest per annum.
Learn more about simple interest here:
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9514 1404 393
Answer:
(-4, -13)
Step-by-step explanation:
When the translation (T) is added, the image is formed.
(4, -9) +T = (9, -14)
T = (9, -14) -(4, -9) = (9-4, -14-(-9)) = (5, -5)
The same holds for the second point:
(-9, -8) +T = (-9, -8) +(5, -5) = (-9 +5, -8 -5) = (-4, -13)
The image of the second point under the same translation is (-4, -13).
The relationship between sides DY, PY and DP is that they form a right-angled triangle.
The value of side length DY is 8 units
Side length DY can be calculated using the following Pythagoras theorem.
So, we have:
Substitute values for DP, DY and PY
Evaluate the squares
Subtract 36 from both sides
Take square roots of both sides
Rewrite as:
Hence, the value of side length DY is 8 units
Read more about Pythagoras theorems at:
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