Answer:
54
Step-by-step explanation:
4^3-4/2*5
4^3=64
64-4/2*5
-4/2=-2
64-2*5
-2*5=-10
64-10=54
Parenthesis
Exponent
Multiply or Divide (whichever comes first)
Add or Subtract (whichever comes first)
Hope this helps
Answer:
9.30918
Step-by-step explanation:
<span>Let n be the number of taxis in NY. The average distance travelled is 60,000 miles, therefore the middle 95% will have the same average as the population, the reason being the mileage is symmetrically distributed about the mean Therefore the total number of miles in one year for the middle 95% is 60,000 * 0.95 * n
</span><span>The range of miles driven by the middle 95% can be found from the empirical rule that says:
For a normal distribution, approximately 95% of the data points lie within the range plus and minus 2 standard deviations of the population mean. In this case the range is
(60,000-22,000) to (60,000 + 22,000)</span>
<h3>
Answer: D. 5 blinks</h3>
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Explanation:
First we'll need to find out how long it takes for the ball to go from the pitcher to the batter.
It needs to travel 60.5 feet and does so at a speed of 121 ft/sec
distance = speed*time
time = distance/speed
time = (60.5 ft)/(121 ft per sec)
time = 0.5 seconds
In half a second, the ball is from the pitcher to the batter.
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An eye blink is 0.1 second which means we can form this equation
0.1 second = 1 blink
We multiply both sides by 5 to get the "0.1 second" to turn into "0.5 seconds".
So,
0.1 second = 1 blink
5*(0.1 second) = 5*(1 blink)
0.5 seconds = <u>5 blinks</u> which points us to choice D.
Continuous compounding is the mathematical limit that compound interest can reach.
It is the limit of the function A(1 + 1/n) ^ n as n approaches infinity. IN theory interest is added to the initial amount A every infinitesimally small instant.
The limit of (1 + 1/n)^n is the number e ( = 2.718281828 to 9 dec places).
Say we invest $1000 at daily compounding at yearly interest of 2 %. After 1 year the $1000 will increase to:-
1000 ( 1 + 0.02/365)^365 = $1020.20
with continuous compounding this will be
1000 * e^1 = $2718.28