The answer is C. 68/5 - 54/5i
Answer:
Step-by-step explanation:
- Initial value = $500000
- Depreciation rate = 5.41% each year
- Target value = 1/2*$500000 = $250000
- Number of years = x
Depreciation can be expressed as function:
- d(x) = 500000*((100 - 5.41)/100)^x
- d(x) = 500000*0.9459^x
Having the final value of $250000, we can find x:
- 250000 = 500000*0.9459^x
- 0.5 = 0.9459^x
- log 0.5 = x log 0.9459
- x = log 0.5 / log 0.9459
- x = 12.46 ≈ 13 years rounded
Answer:
Step-by-step explanation:
a pic would help :(
Sara is working on a Geometry problem in her Algebra class.
The problem requires Sara to use the two quadrilaterals below to answer a list of questions.
Part A: For what one value of are the perimeters of the quadrilaterals the same?
(Hint: The perimeter of a quadrilateral is the sum of its sides.)
Part B: For what one value of are the areas of the quadrilaterals the same?
(Hint: The area of a quadrilateral is the product of its base and height.)
Answer:
56 times
Step-by-step explanation:
To find the probability of both spinners landing on red, we need to multiply the probability of the spinner A landing on red (0.5) by the probability of the spinner B landing on red (0.6):
P(redA and redB) = 0.5 * 0.6 = 0.3
Then, to find the probability of both landing on blue, we do the same:
P(blueA and blueB) = 0.5 * 0.4 = 0.2
Now, if the number of times that both spinners land on red is 84, to estimate the number of times that both land blue, we just need to multiply this number of times by the ratio of P(blueA and blueB) over P(redA and redB):
84 * 0.2 / 0.3 = 56 times
