Answer:
20
Step-by-step explanation:
using pythagorean theorem to find the hypotenuse gives √20, so the measure of the side of the square is also √20, square that to give the area of square, which is 20
Answer:
$87.5 was invested
Step-by-step explanation:
10.5 is 12% of 87.5, so if the money was in the bank for 2 years, we would have to do 10.5*2 which is 21, and that's how much money was gained from the investment.
Answer:
- (g/d, initial, factor, rate)
- (g, 45, 1.05, 5%)
- (d, 50, 0.70, -30%)
- (g, 90, 1.42, 42%)
- (d, 120, 0.45, -55%)
Step-by-step explanation:
Exponential functions all have the form ...
f(x) = (initial value)(growth factor)^x
where (growth factor) is defined as ...
(growth factor) = (1 + growth rate) ⇒ growth rate = growth factor - 1
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If the growth rate is negative (growth factor is less than 1), then it is decay, rather than growth. Growth rate is often expressed as a percentage. A growth rate of a negative amount may be reported as a decay rate of a positive amount. (Above, we have kept the decay rates negative to reinforce the fact that they are decay. <em>Your grader may expect these values to be positive</em>.)
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So, to fill in the table, compare the given functions to the form above. The results are listed in the answer section above.
Answer:
Step-by-step explanation:
Recall that: The number of combination to select any k consecutive element from n consecutive term is given by the equation 
where:
n = 26
k = 5
Therefore, there are 26334 selection of 5 episodes with no two consecutive episodes chosen
You should be able to note that this is a parabola which opens downward. Taking the derivative and setting it to -0- will yield the max of the equation, That is
⇒ 
⇒ 
