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ELEN [110]
3 years ago
14

If you invest $9,200 per period for the following number of periods, how much would you have in each of the following instances?

Use Appendix C for an approximate answer, but calculate your final answer using the formula and financial calculator methods. a. In 10 years at 7 percent? (Do not round intermediate calculations. Round your final answer to 2 decimal places.)
Mathematics
1 answer:
mr_godi [17]3 years ago
7 0

Answer:

future value = $18097.80

Step-by-step explanation:

given data

invest = $9,200

time = 10 years

rate = 7 percentage

to find out

Future  value

solution

we get here future value

future value = invested × (1+r)^{t}    ...................1

put her value we get

future value = $9200 × (1+0.07)^{10}

future value = $9200 × 1.96715

future value = $18097.80

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Prove each of the following statements below using one of the proof techniques and state the proof strategy you use.
pochemuha

Answer:

See below

Step-by-step explanation:

a) Direct proof: Let m be an odd integer and n be an even integer. Then, there exist integers k,j such that m=2k+1 and n=2j. Then mn=(2k+1)(2j)=2r, where r=j(2k+1) is an integer. Thus, mn is even.

b) Proof by counterpositive: Suppose that m is not even and n is not even. Then m is odd and n is odd, that is, m=2k+1 and n=2j+1 for some integers k,j. Thus, mn=4kj+2k+2j+1=2(kj+k+j)+1=2r+1, where r=kj+k+j is an integer. Hence mn is odd, i.e, mn is not even. We have proven the counterpositive.

c) Proof by contradiction: suppose that rp is NOT irrational, then rp=m/n for some integers m,n, n≠. Since r is a non zero rational number, r=a/b for some non-zero integers a,b. Then p=rp/r=rp(b/a)=(m/n)(b/a)=mb/na. Now n,a are non zero integers, thus na is a non zero integer. Additionally, mb is an integer. Therefore p is rational which is contradicts that p is irrational. Hence np is irrational.

d) Proof by cases: We can verify this directly with all the possible orderings for a,b,c. There are six cases:

a≥b≥c, a≥c≥b, b≥a≥c, b≥c≥a, c≥b≥a, c≥a≥b

Writing the details for each one is a bit long. I will give you an example for one case: suppose that c≥b≥a then max(a, max(b,c))=max(a,c)=c. On the other hand, max(max(a, b),c)=max(b,c)=c, hence the statement is true in this case.

e) Direct proof: write a=m/n and b=p/q, with m,q integers and n,q nonnegative integers. Then ab=mp/nq. mp is an integer, and nq is a non negative integer. Hence ab is rational.

f) Direct proof. By part c), √2/n is irrational for all natural numbers n. Furthermore, a is rational, then a+√2/n is irrational. Take n large enough in such a way that b-a>√2/n (b-a>0 so it is possible). Then a+√2/n is between a and b.

g) Direct proof: write m+n=2k and n+p=2j for some integers k,j. Add these equations to get m+2n+p=2k+2j. Then m+p=2k+2j-2n=2(k+j-n)=2s for some integer s=k+j-n. Thus m+p is even.

7 0
3 years ago
Omar has a gift card for $40.00 at a gift shop. Omar wants to buy a hat for himself for $13.50. For his friends, he would like t
stealth61 [152]

Answer:

A. 3.25x + 13.50 ≤ 40

The number of bracelets is x. It's a variable.

The 13.50 is a constant.

The total needs to be less than or equal to 40 because that's all the money he has.

6 0
2 years ago
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I need help finding the slope
bulgar [2K]

Answer:

-1/3

Step-by-step explanation:

slope= \frac{4-1}{-4-5} =\frac{3}{-9} =\frac{1}{-3}

3 0
3 years ago
roberto is makeing cookies using a recipe.he will use 1/2 of every recipe listed in the recipe.if the recipe requires 3/4 cup of
kupik [55]

3/4 divided by 1/2 is 1.5/4

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How many times larger is 3000 than 300
mihalych1998 [28]
Simple division..

3000/300 = 10

so 3000 is 10 times bigger then 300
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3 years ago
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