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snow_lady [41]
3 years ago
13

Present Value Hoew much shuold be deposited in an account paying 7.2% interest compounded monthly in order to have a balance of

$8000 after 3 years?
Mathematics
1 answer:
jonny [76]3 years ago
6 0

Answer:$6451.6 should be deposited.

Step-by-step explanation:

The principal was compounded monthly. This means that it was compounded 12 times in a year. So

n = 12

The rate at which the principal was compounded is 7.2%. So

r = 7.2/100 = 0.072

It was compounded for 3 years. So

t = 3

The formula for compound interest is

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

A = total amount in the account at the end of t years. A is given as $8000 Therefore,

8000 = P (1+0.072/12)^12×3

8000 = P(1+0.006)^36

8000 = P(1.006)^36

P = 8000/1.24

P = $6451.6

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N is a rational number.m is an irrational number.n2 cannot be an irrational number? why or why not
Korolek [52]

If n is rational, it means that

n\in\mathbb{Q}\Rightarrow n=\frac{p}{q},\quad p\in\mathbb{Z},\quad q\in\mathbb{Z}^*

Therefore when we do n² we can write it as

n^2=\frac{p^2}{q^2},\quad p\in\mathbb{Z},\quad q\in\mathbb{Z}^*

Remember that the product of two integer numbers is also an integer, therefore we can guarantee that

p^2\in\mathbb{Z}\text{ and }q^2\in\mathbb{Z}^*

Then we can confirm that n² is the quotient of two integers and the denominator is not zero, therefore, n² is always rational, it cannot be an irrational number

8 0
1 year ago
Write the inequality for the graphs
Irina18 [472]
A. -3 < x < 1
b. x < = 4 or x > = 6
4 0
3 years ago
I got really confused and I really don’t know what to do and I try to do for myself but I didn’t get it
otez555 [7]

Answer:

The Answer is A. I made a graph and those points are the only ones that made a line.

5 0
3 years ago
Please help with part b
timofeeve [1]

Answer:

161391

Step-by-step explanation:

138000 x 16.95/100 = 23391

138000 + 23391 = 161391

5 0
3 years ago
For a snack, sander ate a plum with 32 calories and several strawberries with 4 calories each. If the total number of calories i
muminat

Answer:

6 strawberries

You subtract 32 from 56, which gives you 24. Then, if one strawberry is 4 calories, you can eat 6 of them to gain 24 calories.

32 + 24 = 56 ... So one plum (32) and six strawberries (4+4+4+4+4+4) gives you 56 calories, which is the total. That's how you can check your work.

Answer: 6

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3 years ago
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