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3 years ago

Logarithms:

Mathematics

1 answer:

WITCHER [35]3 years ago

4 0

Answer:

A) k = 18.75
B) R(0.8) = 161419
C) R(0.3) = 275

Step-by-step explanation:

Given expression

R(x) = 6*e^(kx)

A) Given

x = 0.04
R = 10

Solving for k

10 = 6*e^(0.04k)
e^(0.04k) = 10/6
ln (e^0.04k) = ln (1.6666)
0.04k = 0.51
k = 0.51/0.04
k = 12.75

B) Given

x = 0.8
R= ?

The value of R(0.8) is:

R(0.8) =
6*e^(0.8*12.75) =
6*e^(10.2) =

161419 rounded

C) Given

x = 0.3
R = ?

The value of R(0.3) is:

R(0.3) =
6*e^(0.3*12.75) =
6*e^(3.825) =

275 rounded

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valentinak56 [21]

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3 years ago

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weqwewe [10]

Answer:

Step-by-step explanation:

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