The diameter of a circle is 8 inches. What is the circles radius?
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Using an exponential function, it is found that the approximate number of crimes in the year of 2016 was of 2502.
<h3>What is an exponential function?</h3>An increasing exponential function is modeled by:
In which:
- A(0) is the initial value.
- r is the growth rate, as a decimal.
In this problem, there were 550 crimes in the initial year observed, and the growth rate is of 6%, hence the parameters are A(0) = 550, r = 0.06, and the equation is given by:
2016 is 26 years after 1990, hence:
The approximate number of crimes in the year of 2016 was of 2502.
More can be learned about exponential functions at brainly.com/question/25537936
Answer:
a)
b)
When d = 3
n = (3+2)/4 = 5/4 inches
When d= 6
n = (6+2)/4 = 2 inches
When d = 10
n = (10+2)/4 = 3 inches
Step-by-step explanation:
<u>Complete Question:</u>
<em>The penny size of a nail indicates the length of the nail. The penny size d is given by the literal equation d=4n−2, where n is the length (in inches) of the nail.</em>
<em>a) Solve equation for n</em>
<em>b) Use part (a) to find length of nails with the following penny sizes: 3, 6, 10.</em>
<u>Solution:</u>
<u />
a)
We use algebra and take 2 to the other side and divide to solve for n. Shown below:
So,
n = (d+2)/4
b)
Since we have to find length of nails, we plug in 3, 6, and 10 respectively into d of the formula we found in part (a).
When d = 3
n = (3+2)/4 = 5/4 inches
When d= 6
n = (6+2)/4 = 2 inches
When d = 10
n = (10+2)/4 = 3 inches