Answer:
v = 1/(1+i)
PV(T) = x(v + v^2 + ... + v^n) = x(1 - v^n)/i = 493
PV(G) = 3x[v + v^2 + ... + v^(2n)] = 3x[1 - v^(2n)]/i = 2748
PV(G)/PV(T) = 2748/493
{3x[1 - v^(2n)]/i}/{x(1 - v^n)/i} = 2748/493
3[1-v^(2n)]/(1-v^n) = 2748/493
Since v^(2n) = (v^n)^2 then 1 - v^(2n) = (1 - v^n)(1 + v^n)
3(1 + v^n) = 2748/493
1 + v^n = 2748/1479
v^n = 1269/1479 ~ 0.858
Step-by-step explanation:
Answer:
1.732i (complex form)
its weird, at high-school level complex shouldn't come, its considered mistake in the question. But the mathematically its all correct
Step-by-step explanation:
The answer is 900 because 20×9=180 and just multiply 180×5 and that equals 900.
The scale of the map from inches to miles is 1 inch : 9 miles
<h3>How to determine the scale of the map from inches to miles?</h3>
The given parameters are:
- The actual distance of the cities apart = 36 miles
- The scale distance of the cities apart = 4 inches
The scale of the map from inches to miles is represented as:
Scale of map = The scale distance of the cities apart : The scale distance of the cities apart
Substitute the known values in the above equation
Scale of map = 4 inches : 36 miles
Divide both sides of the ratio by 4
So, we have:
Scale of map = 4/4 inches : 36/4 miles
Evaluate the quotient
Scale of map = 4/4 inches : 9 miles
Evaluate the quotient
Scale of map = 1 inch : 9 miles
Hence, the scale of the map from inches to miles is 1 inch : 9 miles
Read more about scale drawing at:
brainly.com/question/15891755
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