Amount in compound interest = p(1 + r/t)^nt where p is the initial
deposit, r = rate, t = number of compunding in a period and n = period.
Here,
Amount after t years = 103(1.02)^t
i.e. 1 + r = 1.02
r = 1.02 - 1 = 0.02
Therefore, annual interest rate = 0.02 x 100 = 2%
Step
<u>Find the slope of the line</u>
we know that
the formula to calculate the slope between two points is equal to
Let
substitute the values
Step
with the slope m and the point find the equation of the line
we know that
the equation of the line in the point-slope form is equal to
substitute the values
therefore
<u>the answer is</u>
We want to find a point on a segment such that the point divides the segment in the ratio 5:1
We will find that the point T is (6, 9)
The general formula for the point T that divides a segment whose endpoints are (x₁, y₁) and (x₂, y₂) such that separates the segment in the ratio j:k is given by:
Here we have the endpoints (5, 10) and (11, 4), and we know that the ratio is 5:1
Then we can just use the above formula to get:
If you want to learn more, you can read:
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Answer:
A, C, E
Step-by-step explanation:
Angle x and the angle marked 63° are corresponding, hence congruent:
x = 63°
Angles x and z are consecutive interior angles, so are supplementary:
x + z = 180°
Then ...
z = 180° -x = 180° -63°
z = 117°
Answer:
She has a 10% chance.
Step-by-step explanation:
To make this easier on our selves let's divide each by 2.
That makes Lucy hold 10 tickets for the 100 tickets available.
10/100 = 10%
Any numerator that is over 100 is the percentage
Say if I had 52/100 I would have 52%