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3 years ago

What is the growth rate of the following function? f(x) = 27(1.0075)* A 0.0075 % B 0.075% C 0.75% D 7.5%

Mathematics

2 answers:

VLD [36.1K]3 years ago

4 0

Should be c because it’s most common

Varvara68 [4.7K]3 years ago

3 0

Answer: c

Step-by-step explanation:

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3 years ago

Read 2 more answers

Please Help me!!!

drek231 [11]

Step-by-step explanation:

The displacement of a particle d (in km) as a function of time t (in hours) is given by :

$d=2t^3+5t^2-3$

Displacement at t = 4 hours,

$d(4)=2(4)^3+5(4)^2-3=205\ km$

Velocity of particle is given by :

$v=\dfrac{dd}{dt}\\\\v=\dfrac{d(2t^3+5t^2-3)}{dt}\\\\v=6t^2+10t$

Velocity at t = 4 hours,

$v=6(4)^2+10(4)=136\ km/h$

Acceleration of the particle is given by :

$a=\dfrac{dv}{dt}\\\\a=\dfrac{d(6t^2+10t)}{dt}\\\\a=12t+10$

At t = 4 hours,

$a=12(4)+10=58\ km/h^2$

Therefore, the displacement, velocity and acceleration at t = 4 hours is 205 km, 136 km/h and 58 km/h² respectively.

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3 years ago

For a proof by induction of the math statement below, identify the correct step for proving the theorem is true for n = k + 1. H

Pavel [41]

<h3>Answer: Choice A</h3>

What we do is simply replace every n with k+1. So (3n)^2 turns into (3(k+1))^2

We see that only choice A has the correct term mentioned on the left hand side, so this must be the answer.

The right hand side is treated the same way. We plug in n = k+1. Your teacher did a bit of algebraic manipulation to get what is shown for choice A.

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3 years ago

What is the growth rate of the following function? f(x) = 27(1.0075)* A 0.0075 % B 0.075% C 0.75% D 7.5%​

What is the growth rate of the following function? f(x) = 27(1.0075)* A 0.0075 % B 0.075% C 0.75% D 7.5%