Answer:
Step-by-step explanation:
The amount formula in compound interest is:
where:
P = principal amount
r = annual interest
n = number of compounding periods
t = number of years
We already know that:
P = $2000
t = 7 (number of years from 6th to 13th bday)
n = 4 (quarterly in a year)
Then,
The mAngleVSR m Angle VSR is mathematically given as
= 80°
This is further explained below.
<h3>What is mAngleVSR?</h3>Generally, Draw two lines: one that connects the points R, S, and U, and another that connects the points V, S, and T. (see attached diagram). At point S, these lines come together to create four angles, which are denoted by the letters RSV, VSU, UST, and TSR respectively.
The angles VSU and RST are both considered to be vertical angles, as are the angles RSV and UST. Vertical angles are equivalent, therefore
m∠VSU = m∠RST = 100°
m∠RSV = m∠UST
In conclusion, Angles RSV and VSU are considered supplementary angles since their sum is equal to 180 degrees. Som
m∠RSV = 180° - m∠VSU =180° - 100° = 80°
Angle RSV is the same as angle VSR (the name of the angle may be read either from the right to the left or from the left to the right).
Read more about angles
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Answer:
Solution : 8i
Step-by-step explanation:
We can use the trivial identities cos(π / 2) = 0, and sin(π / 2) = 1 to solve this problem. Let's substitute,
=
And of course 1i = i, so we have the expression 8(0 + i ). Distributing the " 8, " 8( 0 ) = 0, and 8(i) = 8i, making the fourth answer the correct solution.