Step-by-step explanation:
let us attend to each cases one after the other. each relationship is in bold in parenthesis
1. The cost of hiring a mover is based on the distance traveled and the total weight of the objects moved. (positive or direct proportional relationship)
2. The amount of time needed to paint a house decreases as the number of painters increases.(Negative or inverse relationships)
3. The income of a worker who gets paid an hourly wage depends on the number of hours worked positive or direct proportional relationship)
The population of the country in 2003 is 302.5 million
<h3>How to determine the population of the country in 2003.</h3>
From the question, we have the following parameters that can be used in our computation:
Exponential model, A = 302.5e^0.0211t
Where i is the number of years after 2003
In the year 2003, the value of t is 0
i.e. 0 years after 2003
So, we have
A = 302.5e^(0.0211 * 0)
Evaluate the products
A = 302.5 * 1
So, we have the following result
A = 302.5
Hence, the population is 302.5 million
Read more about exponential models at
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Answer:
Step-by-step explanation:
Given
Required
The explicit formula
First, calculate
Set n=2; So:
Substitute -25 for
Calculate the common difference (d)
So, the nth term is:
Open bracket
Collect like terms
In seven years her mother will be 38 +7 = 45 years old.
She will be 5 times as old, so divide 45 by 5: 45/5 = 9. Elaine will be 9 years old then, so she is 9-7 = 2 years old now.
We know that
the law of sines established
a/sin A=b/sin B--------sin A=[a*sin B]/b
a=4.5 cm
b=6 cm
B=35°
so
sin A=[4.5*sin 35°]/6-----> sin A=0.43018
A=arc sin(0.43018)-------> A=25.5°
the answer is the option
<span>C) 25.5° </span>