Answer:
s(t) = 10000·1.65^t
Step-by-step explanation:
The general form of an exponential model is ...
f(t) = (initial value) × (1 +(fractional change))^t
where the fractional change can be positive or negative and t is the number of time units. Each time unit will correspond to the period required for the fractional change.*
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For your problem, you have (initial value) = 10,000 and (fractional change) = 65% = 0.65 with time units of 1 year. Your function for sales (s) will then be ...
s(t) = 10000·1.65^t
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* The business regarding time units has to do with problems where you get a description like "increased 30% in 4 hours." Then, if t is in hours, the multiplier of the initial value looks like 1.30^(t/4).
We are asked in this problem to determine the expression of an exponential function given the data above. The standard form of an exponential function is expressed as y = a^x + b was a is the base constant and b is another constant. In this case, a is given to be equal to 1/2. since the graph is said to be shrunk down to 3/4 then the initial expression would have to be y = 3/4*(1/2)^x + b. b is determined through the given asymptote in the problem. An asymptote is an axis or the line in which the graph approaches but never touches. b is equal to -4. In this case, the overall expression is y = 3/4 *(1/2)^x - 4.
You want to replace the s with 150 in the equation and then just solve for t.
150=16√7t +62 subtract 62 from both sides
88=16√7t divide both sides by 16
5.5=√7t to get rid of the square root square both sides.
30.25=7t now divide both sides by 7
4.3 = t (approximately)
so at 4 weeks they will have sold 150 units.
Answer: -1/5
Step-by-step explanation:
14/20 - 81/90=
7/10-9/10= ==> 10 is the GCF of 20 and 90
(7-9)/10=
-2/10=-1/5
