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satela [25.4K]
3 years ago
9

If you invest a penny on Jan 1, 1776 at 10% interest compounded daily, how much would you have on Jan 1, 2011?

Mathematics
2 answers:
lidiya [134]3 years ago
6 0
Multiply 1.10 times 1 penny (because you want to add .10 AND the penny) then you multiply that by 365 for how much you make in a year which is 401.5 then multiply that by 35 years, and you get 14052.5.

pentagon [3]3 years ago
4 0
I'm not sure if this is the right answer, but here goes nothing.  To find the amount of money you would make in one day, you have to multiply 1.10 times 1 penny (because you want to add .10 AND the penny) then you multiply that by 365 for how much you make in a year which is 401.5 then multiply that by 35 years, and you get 14052.5.  Sorry if that's wrong!  Good luck! 
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A certain disease occurs most frequently among older women. Of all age groups, women in their 60s have the highest rate of breas
Law Incorporation [45]

Answer:

The probability that a woman in her 60s has breast cancer given that she gets a positive mammogram is 0.0276.

Step-by-step explanation:

Let a set be events that have occurred be denoted as:

S = {A₁, A₂, A₃,..., Aₙ}

The Bayes' theorem states that the conditional probability of an event, say <em>A</em>ₙ given that another event, say <em>X</em> has already occurred is given by:

P(A_{n}|X)=\frac{P(X|A_{n})P(A_{n})}{\sum\limits^{n}_{i=1}{P(X|A_{i})P(A_{i})}}

The disease Breast cancer is being studied among women of age 60s.

Denote the events as follows:

<em>B</em> = a women in their 60s has breast cancer

+ = the mammograms detects the breast cancer

The information provided is:

P(B) = 0.0312\\P(+|B)=0.81\\P(+|B^{c})=0.92

Compute the value of P (B|+) using the Bayes' theorem as follows:

P(B|+)=\frac{P(+|B)P(B)}{P(+|B)P(B)+P(+|B^{c})P(B^{c})}

            =\frac{(0.81\times 0.0312)}{(0.81\times 0.0312)+(0.92\times (1-0.0312)}\\

            =\frac{0.025272}{0.025272+0.891296}

            =0.02757\\\approx0.0276

Thus, the probability that a woman in her 60s has breast cancer given that she gets a positive mammogram is 0.0276.

4 0
2 years ago
Read 2 more answers
Which graph best represents y = −x2 + 6x − 1?
iVinArrow [24]

Answer:

which graph best represents y = -x2 + 6x - 1?

Step-by-step explanation:

hich is the graph of the linear function that is represented by the equation y= 1/2x-2 ?

8 0
2 years ago
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Given A(-2, 5) and B(13, -7), find the midpoint of AB.​
Dmitrij [34]

Answer:

The mid-point is (9,-9/2)

Step-by-step explanation:

You would use the mid-point formula for this

(\frac{x_{2} +x_{1} }{2} , \frac{y_{2}+y_{1}  }{2} )

if you plug that in it is (\frac{13-2}{2}, \frac{-7+5}{2})

resulting in (11/2,-2/2) = (11/2,-1)

4 0
1 year ago
What are there two solutions for the equations |6+y|=2?Explain.
tester [92]

Because the equation is a positive number lower than the original

7 0
3 years ago
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Solve the following equation algebraically: x squared = 50
zhenek [66]

Answer:

x = ±5sqrt(2)

Step-by-step explanation:

x^2 = 50

Take the square root of each side

sqrt(x^2) = ±sqrt(50)

x =  ±sqrt(25*2)

We know that sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(25)*sqrt(2)

x = ±5sqrt(2)

3 0
3 years ago
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