Answer:
(A) 5.47 km
(B) 1.38 km
Step-by-step explanation:
The relationship between Pressure (mmHg) and Height (km) is given by the equation below:
p =760 e⁻ 0.145h----------------------------------------------------- (1)
(a) The height of the aircraft can be calculated by making 'h' the subject of equation (1)
In (p/760) = -0.145 h
h = -In (p/760) /0.145
h= In (760/p)/ 0.145------------------------------------------------- (2)
For the aircraft, p =344 mmHg; substituting into (2)
h = In (760/344)/0.145
= 0.7926/0.145
= 5.4662 km
≈ 5.47 km
(b) p= 622 mmHg at the mountain top. Substituting into equation (2) we have:
h = In (760/622)/0.145
= 0.2003 / 0.145
= 1.3813 km
≈ 1.38 km
sorry i dunno i really dont i just need to finish my test lol
<span>nth term = 7n - 3
n = 1,2,3,4....</span>
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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