Answer:
8
Step-by-step explanation:
Given:
Annuity at time (n + 1) = 13.776
(1 + i)ⁿ = 2.476
Now,

here, d = 
thus,

or
d = 0.1071
therefore,
d = 
or
0.1071 = 
or
0.1071 + 0.1071i = i
or
i = 0.1199
now,
(1 + i)ⁿ = 2.476
or
(1 + 0.1199)ⁿ = 2.476
1.1199ⁿ = 2.476
taking log both sides
n × log(1.1199) = log(2.476)
or
n = 8.006 ≈ 8
hence,
the answer is 8
Answer:
x^4 + 5x^3 - 12x^2 + 5x + 1
Three of the four towns are on the vertices of the triangle ΔCBD, through
which the bearing can calculated.
<h3>Response:</h3>
- The bearing of D from B is approximately <u>209.05°</u>
<h3>Method by which the bearing is found;</h3>
From the given information, we have;
AC = AB = 25 km
∠BAC = 90° (definition of angle between north and east)
ΔABC = An isosceles right triangle (definition)
∠ACD = ∠ABC = 45° (base angles of an isosceles right triangle)

The bearing of <em>D</em> from <em>B</em> is the angle measured from the north of <em>B</em> to the
direction of <em>D.</em>
<em />
Therefore;
- The bearing of D from B ≈ 90° + (180° - 60.945°) = <u>209.05°</u>
Learn more about bearings in mathematics here:
brainly.com/question/10710413
Answer:
6x + 200 = 17,000
Step-by-step explanation:
Lower level = 4x - 300
Mid level = 2x + 500
Combine the two equations to find the number of seats in the upper level
(2x + 500) × (4x - 300) = 17,000
Combine like terms
4x × 2x + 500 - 300 = 17,000
<em>6x + 200 = 17,000</em>