Let α represent the acute angle between the horizontal and the straight line from the plane to the station. If the 4-mile measure is the straight-line distance from the plane to the station, then
sin(α) = 3/4
and
cos(α) = √(1 - (3/4)²) = (√7)/4
The distance from the station to the plane is increasing at a rate that is the plane's speed multiplied by the cosine of the angle α. Hence the plane–station distance is increasing at the rate of
(440 mph)×(√7)/4 ≈ 291 mph
Based on the value of the annuity, the amount it earns, and the compounding period, the money paid to Nathan each month will be B. $5,840.62.
<h3>How much will Nathan be paid monthly?</h3>
The amount Nathan will be paid is an annuity because it is constant.
First find the monthly interest and the compounding period in months:
= 4.8/12 months
= 0.4%
Number of compounding periods:
= 20 x 12
= 240 months
The monthly payment is:
Present value of annuity = Annuity x ( 1 - (1 + rate) ^ -number of periods) / rate
900,000 = A x ( 1 - (1 + 0.4%)⁻²⁴⁰) / 0.375%
900,000 = A x 154.0932
A = 900,000 / 154.0932
= $5,840.62.
Find out more on the present value of an annuity at brainly.com/question/25792915.
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Answer:
C. The manager visits a park and interviews people who were waiting to use the tennis courts.
Step-by-step explanation:
It's biased because the manager is clearly asking people only interested in tennis, not a clearly random sample.
Answer:
1920 square inches
Step-by-step explanation:
For a rectangular prism, the lateral area can be found by ...
LA = Pl
where P is the perimeter, and l is the length.
For a square pyramid, the lateral area can be found by ...
LA = (1/2)Ph
where P is the perimeter of the base, and h is the slant height of the triangular faces.
For a figure with a square cross section of perimeter P "capped" by square pyramids on either end, the total surface area is the sum of the lateral areas of the three components:
SA = (Pl) + (1/2)Ph + (1/2)Ph
SA = P(l+h) = (4×15 in)(14 +18 in) = (60)(32) in²
SA = 1920 in²
The surface area of the solid seems to be 1920 square inches.
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<em>Caveat</em>
If the figure is something other than what we have tried to describe, your mileage may vary. A diagram would be helpful.
Answer:
Angle JML Angle LKJ & Angle MJK = MLK
Step-by-step explanation:
In a parallelogram the opposite angles are congruent (as well as the opposite sides
