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sergejj [24]
3 years ago
13

Find three consecutive natural numbers if the square of the smallest number is 65 less than the product of the remaining two num

bers.
Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
5 0

Answer:

21, 22, and 23

Step-by-step explanation:

Three consecutive natural numbers can be represented as n, n+1, and n+2.

The square of the smallest number would be n^2 and its equal to the product of the other two (n+1)(n+2).

So the equation is n^2 = (n+1)(n+2) -65\\n^2 = n^2 +n+2n+2-65\\n^2=n^2+3n-63\\0=3n-63\\63=3n\\ 21=n.

If n is 21 then the next numbers are 22 and 23.

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Find the balance of $7,000 deposited at 4% compounded semi-annually for 2 years
Rufina [12.5K]

Answer:

The balance will be $7,577.03.

Step-by-step explanation:

The compound interest formula is given by:

A = P(1 + \frac{r}{n})^{nt}

Where A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.

In this problem, we have that:

P = 7000, r = 0.04

Semianually means twice a year, so n = 2

We want to find A when t = 2.

So

A = P(1 + \frac{r}{n})^{nt}

A = 7000(1 + \frac{0.04}{2})^{2*2}

A = 7577.03

The balance will be $7,577.03.

5 0
3 years ago
I xant solve for the value of K
exis [7]
K = -3x^2/5 -5x -3 + px/5. I hope that helps.
4 0
3 years ago
Find the percent of increase from 12 pencils to 18 pencils.
nalin [4]

18-12/12 *100

6/12*100

1/2*100

50%

7 0
3 years ago
Which of the following ratios is used in finding the sine of an angle in a right triangle?
stira [4]
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3 0
3 years ago
How do I figure out what 1/10 of 6000 is?
alisha [4.7K]
The way I like to figure out problems like this is to write it out like,

1/10 = x/6000
(One over ten equals x over 6000)

Then you find out how much you multiplied 10 by to get 6000. To do this you can divide 6000 by 10 getting 600. The rule "what you do to the bottom you have to do to top" in this equation. So since you multiplied the bottom by 600 you have to multiply the top by 600 as well. 600 times 1 is just 600.

So your answer is, 600 is 1/10 of 6000.

Hope this helps and isn't too confusing.
5 0
3 years ago
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