2x + 4y = 22 What is the answer?
2 answers:
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Answer:
a. and 41.6
b. 52.1
Step-by-step explanation:
a.
Considering the left side triangle the blue dotted side is the side "opposite" to the angle given and the side 24 is the side that is "adjacent" to the angle given. The trigonometric ratio tan relates opposite to adjacent. Also, let the blue dotted side be y.
<u>Note:</u> the exact value of tan 60 is
Thus, we can write
Approximate value (rounded to nearest tenth):
b.
Considering the triangle to the right, the side "opposite" to the angle given (53 degrees) is 41.6 (just found in part (a)) and the side "hypotenuse" (side opposite to 90 degree angle) is x. The trigonometric ratio sine relates opposite and hypotenuse.
Thus we can write and solve:
Given:
P₀ = $1000, the principal
r = 2% = 0.02, the APR
Let the duration be 1 year
n = number of compounding intervals per year.
The value after 1 year is
The following table shows the results obtained from the calculator.
n A
------ ------------------
1 1020.00000
4 1020.15050
12 1020.18436
52 1020.19742
365 1020.20078
P₀ = $1000, the principal
r = 2% = 0.02, the APR
Let the duration be 1 year
n = number of compounding intervals per year.
The value after 1 year is
The following table shows the results obtained from the calculator.
n A
------ ------------------
1 1020.00000
4 1020.15050
12 1020.18436
52 1020.19742
365 1020.20078