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Alex_Xolod [135]
3 years ago
14

In 2010, there were 2,468,435 total deaths in the total US population, with 308,745,538 persons at mid year (July 1). ;Of these

deaths, 597,689 were due to diseases of the heart and 574,743 were due to malignant neoplasms (cancer). What is the cause-specific mortality rate for diseases of the heart per 100,000 in this population?
Mathematics
1 answer:
xenn [34]3 years ago
7 0

Answer:

193.586 deaths per 100,000

Step-by-step explanation:

The cause-specific mortality rate for a disease in a per 100,000 basis is determined as the total number of deaths due to the disease multiplied by 100,000 and divided by the average (mid-year) total population.

There were 597,689 deaths due to diseases of the heart in a population of 308,745,538 people. The cause-specific mortality rate for diseases of the heart per 100,000 in this population is:

M=\frac{597,689}{308,745,538}*100,000\\ M=193.586\ deaths/100,000

The mortality rate is 193.586 deaths per 100,000.

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How much money should be deposited today in an account that earns 6% compounded semiannually so that it will accumulate to $14,0
Free_Kalibri [48]

Answer:

The amount of money to be deposited today is $11,725

Step-by-step explanation:

In this question , we are concerned with calculating the amount of money that should be deposited presently to have $14,000 in three years.

To get this, we have to use the compound interest formula

A = P( 1+ r/n)^nt

where A is the amount to be earned after the end of the compounding period which is $14,000 according to this question

P is the initial amount to be deposited which is what we are looking for

r is the rate of compounding which is 6% or simply 6/100 = 0.06

n is the number of times interest is compounded yearly which is semiannually according to the question and this means 2

t is the number of years which is 3 according to the question

Now, plugging all these values, we have;

14,000 = P( 1 + 0.06/2)^(3 * 2)

14,000 = P(1+0.03)^6

14,000 = P(1.03)^6

14,000 = 1.194P

P = 14,000/1.194

P = 11,724.77 which is approximately $11,725

8 0
3 years ago
An air traffic controller spots two airplanes at the same altitude converging to a point as they fly at right angles to each oth
muminat
So.... notice the picture below

we know when y = 140 and x = 240, r = 250

so let's use the pythagorean theorem

\bf r^2=x^2+y^2\implies 2r\cfrac{dr}{dt}=2x\cfrac{dx}{dt}+2y\cfrac{dy}{dt}\implies \cfrac{dr}{dt}=\cfrac{x\frac{dx}{dt}+y\frac{dy}{dt}}{r}
\\\\\\
\cfrac{dr}{dt}=\cfrac{240\cdot 480+70\cdot 140}{250}\implies \cfrac{dr}{dt}=500

now... how much time does the controller have? well, say, plane "y" is going at dy/dt of 140mph, and is 70 miles away, 140 is 2*70, so it can cover those 70 miles in 1/2 hr, and when it does, it'll collide with the other,

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3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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Answer:

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Here,

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or, 4=20-16

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3 years ago
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