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Tooey2331
26.05.2021 •
Mathematics
The graph shows the number of baseball caps produced by a company over 8 months. Estimate the total number of caps produced by taking the midpoint rule with 8 subintervals.
A.
290
B.
145
C.
135
D.
120
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Ответ:
The population of Townville in 1940 was of 13663
The population exceeded 20,000 people in 1953.
Equation:![P(t) = 1500(1.028)^{t}](/tpl/images/0688/7260/6a457.png)
Step-by-step explanation:
The population of Townville in t years after 1860 is given by the following equation:
In which P(0) is the population in 1860 and r is the growth rate, as a decial.
The population of Townville in 1860 was 1500 people. The population grew at about a rate of 2.8% per year until 1960.
This means that![P(0) = 1500, r = 0.028](/tpl/images/0688/7260/1b7a0.png)
Then
What was the population of Townville in 1940?
1940 is 1940 - 1860 = 80 years after 1860. So this is P(80).
The population of Townville in 1940 was of 13663
When did/will the population exceed 20,000 people?
We have to find t for which P(t) = 20,000. If t > 100, it means that with what we have(the growth rate is for 100 years), the population did not exceed 20,000.
So
1860 + 93.79 = 1953.79
The population exceeded 20,000 people in 1953.