Answer:
1000 (1.12)^t
Step-by-step explanation:
first year 1120
second year 1254.4
etc
The number -3 written as a logarithm with a base of 2 is log₂(0.125) or log₂(1/8)
<h3>What are logarithms?</h3>
As a general rule, logarithms are mathematical expressions that are written in the form log(x) or ln(x), for natural logarithms
<h3>How to rewrite the number as a logarithm?</h3>
The number is given as:
x = -3
The base of the logarithm is given as:
Base = 2
To rewrite the given number as a base of 2, we take the exponent of the number where the base is 2
This is represented as:
Number =2^-3
Apply the power rule of indices
Number =1/2^3
Evaluate the exponent
Number = 1/8
Evaluate the quotient
Number = 0.125
Hence, when the number -3 is rewritten as a logarithm with base 2, the equivalent logarithm expression is log₂(0.125) or log₂(1/8)
Read more about logarithm at:
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Answer:
Meeting or following another vehicle
Step-by-step explanation:
Answer:
y = 
x - 1
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
y = - 
x - 3 is in this form
with slope m = -
the slope of a perpendicular line is the negative reciprocal of m, hence
=
(0 , - 1 ) is the y-intercept ⇒ c = - 1
y = x - 1 ← equation of perpendicular line
