Answer:
Area = 10025.66 square units
Step-by-step explanation:
We are given the following in the question:
The birth rate of a population:
The death rate of a population:
The area between the curve for 0 ≤ t ≤ 10, is given by:
![\displaystyle\int_0^{10}b(t) - d(t)~ dt\\\\\displaystyle\int_0^{10} 2300e^{0.024t}-1450e^{0.019t}~dt\\\\= \Bigg[\frac{2300e^{0.024t}}{0.024}\Bigg]_0^{10}-\Bigg[\frac{1450e^{0.019t}}{0.019}\Bigg]_0^{10}\\\\= \Bigg[\frac{2300e^{0.24}}{0.024}-\frac{1450e^{0.19}}{0.019}\Bigg]-\Bigg[\frac{2300}{0.024}-\frac{1450}{0.019}\Bigg]\\\\= 29543.2058565 - 19517.5438596 \approx 10025.6](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cint_0%5E%7B10%7Db%28t%29%20-%20d%28t%29~%20dt%5C%5C%5C%5C%5Cdisplaystyle%5Cint_0%5E%7B10%7D%202300e%5E%7B0.024t%7D-1450e%5E%7B0.019t%7D~dt%5C%5C%5C%5C%3D%20%5CBigg%5B%5Cfrac%7B2300e%5E%7B0.024t%7D%7D%7B0.024%7D%5CBigg%5D_0%5E%7B10%7D-%5CBigg%5B%5Cfrac%7B1450e%5E%7B0.019t%7D%7D%7B0.019%7D%5CBigg%5D_0%5E%7B10%7D%5C%5C%5C%5C%3D%20%5CBigg%5B%5Cfrac%7B2300e%5E%7B0.24%7D%7D%7B0.024%7D-%5Cfrac%7B1450e%5E%7B0.19%7D%7D%7B0.019%7D%5CBigg%5D-%5CBigg%5B%5Cfrac%7B2300%7D%7B0.024%7D-%5Cfrac%7B1450%7D%7B0.019%7D%5CBigg%5D%5C%5C%5C%5C%3D%2029543.2058565%20-%2019517.5438596%20%5Capprox%2010025.6)
Find the the amount of interest per year. Since $567 were earned over 6 years, you divide the interest earned by the number of years it took to accumulate it:
$567/6 years = $94.5/year
Divide that by the interest rate which the interest rate needs to be in decimal form:
$94.5/.0525 = $1800
Answer:
Part 1. 50 and 17 denotes that he earns $50 for each shift he works at the dinner and $17 for each dog-walking job.
Variable x denotes the number of shifts at the dinner and y variable denotes the number of dog -walking job.
Part 2. The income from shift of work at the diner that is 50x, and the income from dog walking work that is 17y.
Part 3. The total income from the diner is given by 50x.
Step-by-step explanation:
Each week, Aubrey earns $50 for every shift he works at the diner and $17 for every dog-walking job.
He uses the expression (50x + 17y) to keep track of his earning.
Part 1. Here the coefficient of the expressions 50 and 17 denotes that he earns $50 for each shift he works at the dinner and $17 for each dog-walking job.
And the variable x denotes the number of shifts at the dinner and y variable denotes the number of dog -walking jobs.
Part 2. Therefore, there are two terms in the expression, one is the income from the shift of work at the diner that is 50x and the other is the income from dog walking work that is 17y.
Part 3. The total income from the diner is given by 50x. (Answer)
Answer:
55 words per minute
Step-by-step explanation:
165/3
