Answer:
(2, -4)
Step-by-step explanation:
The rotation of an object <u>turns</u> the object around a <u>fixed point</u> called the center of rotation.
A <u>rotation</u> of 90° counterclockwise means:
A 90° rotation counterclockwise with the origin (0, 0) as the center of rotation.
The rule for a counterclockwise rotation of 90° about the origin is:
(x, y) → (-y, x)
Therefore:
(-4, -2) → (2, -4)
Learn more about transformations here:
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Answer:
APR = 416%
EAR = 5370.60%
Step-by-step explanation:
Given:
Interest rate = 7.8% per week
Now,
In an year there are total 52 weeks
thus,
The APR (Annual percentage rate) = Interest rate × Total weeks in an year
or
APR = 8% × 52
or
APR = 416%
and, EAR ( Effective Annual Rate ) = ( 1 + r )ⁿ - 1
Here,
r is the interest rate per week
n is the total weeks in an year
thus,
EAR ( Effective Annual Rate ) = ( 1 + 8% )⁵² - 1
= ( 1 + 0.08 )⁵² - 1
= 53.7060
or
53.7060 × 100% = 5370.60%
Answer:
52.5% probability that A occurs given B occurs
Step-by-step explanation:
Suppose we have two events, A and B, the conditional probability formula is:
In which
P(A|B) is the probability of A happening given that B happened.
is the probability of both A and B happening.
P(B) is the probability of B happening.
In this problem, we have that:
So
52.5% probability that A occurs given B occurs
