Mathematics, 09.03.2021 23:50 dkjfghdjk
For problems 1 through 3, write an exponential equation to represent each situation. Be sure to define your variable.
1. A person deposits $1,500 into a savings account that generates 7.3% interest per year. When will the account contain $8,000?
2. The population of a town increases 3% every year. There are currently 25,000 people living in the town. When will the town have 40,000 people?
3. The price of gas is declining 2% each week. The price is currently $2.06 per gallon. When will the price be $1.90 per gallon?
For problems 4 and 5, write an exponential equation to represent each situation, and solve the equation to answer the question. Be sure to define your variable and show all of your work.
4. An amount of bacteria is quadrupling every eight minutes. If there are currently five bacteria, when will there be 5,120 bacteria?
5. The half-life of a substance is 120 years. If there are currently 300 grams of the substance, when will 75 grams remain?
Rubric
Answers: 1
Mathematics, 21.06.2019 18:40, icantspeakengles
Does the point (1, sqrt 7) lie on circle shown.
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Mathematics, 21.06.2019 20:30, plzhelpmeasap46
Acompany produces packets of soap powder labeled “giant size 32 ounces.” the actual weight of soap powder in such a box has a normal distribution with a mean of 33 oz and a standard deviation of 0.7 oz. to avoid having dissatisfied customers, the company says a box of soap is considered underweight if it weighs less than 32 oz. to avoid losing money, it labels the top 5% (the heaviest 5%) overweight. how heavy does a box have to be for it to be labeled overweight?
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Mathematics, 22.06.2019 02:00, AnastasiaJauregui
If p(x) is the total value of the production when there are x workers in a plant, then the average productivity of the workforce at the plant is a(x) = p(x) x . (a) find a'(x). a'(x) = xp'(x) − p(x) x a'(x) = xp'(x) − p(x) x2 a'(x) = p'(x) − p(x) x a'(x) = xp'(x) − p'(x) x2 a'(x) = p'(x) − xp(x) x2 why does the company want to hire more workers if a'(x) > 0? a'(x) > 0 ⇒ a(x) is ; that is, the average productivity as the size of the workforce increases. (b) if p'(x) is greater than the average productivity, which of the following must be true? p'(x) − xp(x) > 0 p'(x) − xp(x) < 0 xp'(x) − p'(x) > 0 xp'(x) − p(x) < 0 xp'(x) − p(x) > 0
Answers: 2
For problems 1 through 3, write an exponential equation to represent each situation. Be sure to defi...
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