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bulgar [2K]
2 years ago
14

Felicia put $8500 into a CD that pays 2.8% interest compounded semiannual. According to the rule of 72, approximately how long w

ill it take for her money to double ?
Mathematics
1 answer:
maksim [4K]2 years ago
5 0
<span>25.7 years The rule of 72 is a simple approximation on how long it will take to double your money. You simply divide 72 by the interest rate and you'll have your estimate on the number of years it will take. So 72 / 2.8 = 25.7 years. To demonstrate that it's just an estimate, you can take the log of 2 and divide by the log of 1.028 to get the exact value. This far more complicated calculation gives the result of 25.1 years. And to be honest, the estimate of 25.7 years is more than close enough for such an quick and easy rule of thumb.</span>
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Let omega be a complex number such that omega^3 = 1. Find all possible values of {1}{1 + \omega} + {1}{1 + \omega^2}. Enter all
Norma-Jean [14]

Answer:

1 is Answer.

Step-by-step explanation

\frac{1}{1+omega^{2} } + \frac{1}{1+omega }\\

= \frac{(-1)*(omega + 1)}{omega^{2}  }

As we know that ω²+ω+1=0

Thus putting in above equation, we get

= \frac{1}{(-1)*omega } + \frac{1}{(-1)*omega^{2}  }

Rearranging and simplifying:

= \frac{-1}{omega } + \frac{-1}{omega^{2}  }

= \frac{(-1)*(omega + 1)}{omega^{2}  }

= \frac{(-1)*(- omega^{2} )}{omega^{2}  }

= 1 Answer

8 0
3 years ago
The mean temperature for the first 7 days in January was 3 °C.
weeeeeb [17]

m = \frac{a_1 + a_2 + ... + a_n}{n}\\~\\m = \frac{3 * 7 + 2}{8} = \frac{21 + 2}{8} = \frac{23}{8} = 2,875

Answer: 2,875.

6 0
3 years ago
I NEED HELP ASAP!!!!!! 20 POINTS. Jake and Finn both worked hard over the summer. Together they earned a total of $400. Finn ear
Semenov [28]

Answer:

225 for finn jake gets 175

Step-by-step explanation:

400 divided by 2 = 200+25 witch gives Finn 225 dollars.  

J=175 f=225

4 0
2 years ago
Read 2 more answers
Find the area of an equilateral triangle with side length 9.2 cm. Round your answer to 1 DP.
lbvjy [14]

Answer:

Area=36.66 cm^2

Step-by-step explanation:

First, you need the height.

Use the Pythagorean theorem:

hypotenuse^2=height^2+(1/2 base)^2  

It's one-half base because it's an equilateral triangle.

1/2 base =4.6

(9.2)^2-4.6^2=height^2

84.64-21.16=height^2

height^2=63.48

height=7.97

Area=(1/2)(base)(height)

Area=(1/2)(9.2)(7.97)=36.66 cm^2

3 0
3 years ago
In triangle ABC segment DE is parallel to the side AC. (The endpoints of segment DE lie on the sides AB and BC respectively).
ivanzaharov [21]

Answer:

6 dm

Step-by-step explanation:

Triangle DBE is similar to triangle ABC, so their side lengths are proportional.

DE/AC = DB/AB

The length of DB can be found from ...

DB +AD = AB

DB = AB -AD = (15 -10) dm = 5 dm

So, we can fill in the proportion:

DE/(18 dm) = (5 dm)/(15 dm)

DE = (18 dm)·(1/3) . . . . . . . . . . simplify, multiply by 18 dm

DE = 6 dm

_____

It can be helpful to draw and label a figure.

5 0
3 years ago
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