Answer:
Step-by-step explanation:
The answer could be:
1400x = xt
Where 1400 = the initial altitude
Where t = time ( per minute)
And where x equals a certain number.
Let the angle of elevation is x and the height of the rocket from the ground is y
tanx = y/15
by differentiating both sides with respect to T
sec²x·dx/dt = (dy/dt)/15
at y = 30 , the hypotenuse of the triangle = 15√5
sec²x=(15√5/15)²=5
5 dx/dt = 11/15
dx/dt = 11/75 rad/sec
The first ratio would be 3:4 (dividing by 5).
The second ratio would be 21:32 (also dividing by five).
To determine if they are equivalent rates, you must somehow make them even. Multiplying 3:4 by 7 would give you 21:28. Thus proving they are not equivalant.
Y - the money he still owes,
x - the number of months ( from x = 0 to x = 18 ):
y = 2,016 - 112 x
Answer: (a) y = 250(1.8)ˣ (b) 89,262 bacteria
<u>Step-by-step explanation:</u>
Use the exponential growth formula y = a(b)ˣ where
- a = Initial Value
- b = 1 + r (for growth) or 1 - r for decay
- r = rate (convert percent to a decimal)
a) Given: a = 250, r = 80% (.80) → b = 1.8
y = 250(1.8)ˣ
b) Given: x = 10
y = 250(1.8)¹⁰
y = 89,261.68 = 89,262 (rounded to the nearest whole number)
