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Varvara68 [4.7K]
3 years ago
14

Abby Mia wants to know how much must be deposited in her local bank today so that she will receive yearly payments of $18,000 fo

r 20 years at a current rate of 9% compounded annually.
Mathematics
1 answer:
aev [14]3 years ago
4 0
It's annuity problem
To solve your question use the formula of the present value of annuity ordinary which is
Pv=pmt [(1-(1+r)^(-n))÷r]
Pv present value?
PMT yearly payments 18000
R interest rate 0.09
N time 20 years
So
Pv=18,000×((1−(1+0.09)^(−20))÷(0.09))
pv=164,313.82
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Step-by-step explanation

30-6= 24

24/3=8

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The graph that would allow the comparison between the median number of teeth for mammals and reptiles easily is a Box Plot.

<h3>Median</h3>

The median of a set of data is the midpoint of values in a data set. It shows the value that divides the data set into two halves.

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8 0
2 years ago
Suppose that p is the probability that a randomly selected person is left handed. The value (1-p) is the probability that the pe
solmaris [256]

Answer:

a) 1/2

b) 250

Step-by-step explanation:

The start of the question doesn't matter entirely, although is interesting to read. What we are trying to do is find the value for p such that 1000p(1-p) is maximized. Once we have that p, we can easily find the answer to part b.

Finding the value that maximizes 1000p(1-p) is the same as finding the value that maximizes p(1-p), just on a smaller scale. So, we really want to maximize p(1-p). To do this, we will do a trick called completing the square.

p(1-p)=p-p^2=-p^2+p=-(p^2-p)=-(p^2-p+1/4)-(-1/4)=-(p-1/2)^2+1/4.

Because there is a negative sign in front of the big squared term, combined with the fact that a square is always positive, means we need to find the value of p such that the inner part of the square term is equal to 0.

p-1/2=0\\p=1/2.

So, the answer to part a is \boxed{1/2}.

We can then plug 1/2 into the equation for p to find the answer to part b.

1000(1/2)(1-1/2)=1000(1/2)(1/2)=1000*1/4=250.

So, the answer to part b is \boxed{250}.

And we're done!

3 0
2 years ago
What are the steps to solving <br> 3x=4+2(3−x).
masya89 [10]

Answer:

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Step-by-step explanation:

How to find "x"

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I hope the helped!!!

3 0
2 years ago
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