Find the value of the trigonometric ratio. Express your answer as a fraction in lowest terms.
1 answer:
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Answer:
Matthew's money will double fastest in 6 years.
Step-by-step explanation:
<u><em>The complete question is</em></u>
Answer the question for each scenario<u><em> by applying the rule of 72</em></u>. How many years will it take each situation to double its money? Situation A: Matthew invests $5,000 in an account with a compound interest rate of 12%. Situation B: Morgan invests $2,500 in an account with a compound interest rate of 8%. Situation C: Maysen invests $10,000 in an account with a compound interest rate of 4.5%. Whose money will double fastest?
we know that
The <u><em>Rule of 72</em></u> is a simple way to determine how long an investment will take to double given a fixed annual rate of interest. By dividing 72 by the annual rate of return.
so
Situation A: Matthew invests $5,000 in an account with a compound interest rate of 12%
Situation B: Morgan invests $2,500 in an account with a compound interest rate of 8%.
Situation C: Maysen invests $10,000 in an account with a compound interest rate of 4.5%
therefore
Matthew's money will double fastest in 6 years.
Answer:
perpendicular slope =
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (6, - 6) and (x₂, y₂ ) = (- 1, - 3)
m = =
= -
Given slope m then the slope of a perpendicular line is
= -
= -
=
Given the triangles ABC and EDC
We will find the transformation that makes the triangles are similar
As shown: the triangles are reflected over the y-axis
the rule of the reflection over the y-axis will be as follows:
And as shown, the length of the side AB = 3 units
And the length of the side ED = 1 units
So,
So, the answer will be:
D) (x,y) ⇒ (-x, y)
E) (x,y) ⇒ (1/3 x, 1/3 y)