Evaluate: 100(1 + 0.08) ^-10
Round to the nearest hundreth.
Answers
Or, 100(1.08)^-10
So, 100/(1.08)^10
Using calculator,
We get, 100/2.15
And finally, 46.511 is our answer
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P-6=-5 this my question
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Answer:Complex numbers in the coordinate plane. Each complex number x + yi corresponds to a number pair (x, y) in the plane, so we may say that the complex numbers form a two-dimensional collection. The two coordinates of the pair (x, y) are called the real part and the imaginary part of the complex number.
Step-by-step explanation:
serve the ferry operator's needs?
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The boat must go 9mph on the lake in order for it to serve the ferry operator's needs
Represent the speed of the boat on the lake or in still water with x
Given that:
The current in a river has a speed of 6 mph.
- When the boat goes upstream, the speed is x - 6;
- When the boat comes downstream, the speed is x + 6;
So, the time taken by the boat each trip are:
The equation that calculates the required time (x) is:
This gives
Expand
Evaluate the like terms
Divide through by 9
Collect like terms
Factorize
Solve for x
x cannot be negative.
So, we have:
Hence, the boat must go 9mph on the lake in order for it to serve the ferry operator's needs
Read more about speed and distance at:
Answer: the speed of the boat on the lake is 9 mph
Step-by-step explanation:
Let x represent the speed of the boat on the lake or in still water.
The speed of the current in a river is 6 mph. This means that if the boat goes upstream against the speed of the current, its total speed would be (x - 6)mph. If the boat goes downstream against the speed of the current, its total speed would be (x + 6)mph.
Time = distance/ speed
Every day, his route takes him 22.5 miles each way against the current and back to his dock, and he needs to make this trip in a total of 9 hours. This means that the time taken to travel upstream is
22.5/(x - 6). The time taken to travel downstream is
22.5/(x + 6)
Since the total time is 9 hours, it means that
22.5/(x - 6) = 22.5/(x + 6)
Cross multiplying, it becomes
22.5(x + 6) + 22.5(x - 6) = 9
Multiplying through by (x + 6)(x - 6), it becomes
22.5(x - 6) + 22.5(x + 6) = 9[(x + 6)(x - 6)]
22.5x - 135 + 22.5x + 135 = 9(x² - 6x + 6x - 36)
22.5x + 22.5x = 9x² - 324
9x² - 45x - 324 = 0
Dividing through by 9, it becomes
x² - 5x - 36 = 0
x² + 4x - 9x - 36 = 0
x(x + 4) - 9(x + 4) = 0
x - 9 = 0 or x + 4 = 0
x = 9 or x = - 4
Since the speed cannot be negative, then x = 9
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Answer:
Step-by-step explanation:
the y intersept is 2
so it should be 1 x 2
√h × √h³ =
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or other way
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As you can see 0.002 has another 0 behind the decimal point, since this is the case 0.02 is greater.
Which is a bigger decimal or a number?
As discussed in the concept of whole and decimal numbers, One can guess now which number must be bigger or which one must be smaller. If the whole number and decimal number before the decimal are equal, then the decimal number is bigger.
What is least to greatest in decimals?
The smallest number should come first in your list, and the largest number should come last. The other numbers should be listed in between in ascending order. For example, the numbers listed from least to greatest are 11.47, 12.45, and 12.457. You can also write them using the less than a symbol: 11.47 < 12.45 < 12.457.
Learn more about Which is a bigger decimal or a number? here: brainly.com/question/867679
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Answer:
0.02
Step-by-step explanation:
As you can see 0.002 has another 0 behind the decimal point, since this is the case 0.02 is greater. :)
Please brainliest. :)
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Answer:
3500
Step-by-step explanation:
Answer:
3500
Step-by-step explanation:
you do the () which equals 5 then multiply it by seven then multiply it by 100