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Lyrx [107]
3 years ago
8

You invest $4,100 in an account that pays an interest rate of 8.5%, compounded continuously. Calculate the balance of your accou

nt after 17 years. Round your answer to the nearest hundredth.
Mathematics
1 answer:
timurjin [86]3 years ago
7 0

Answer:

$16409.28

Step-by-step explanation:

Principal amount = $4100

Interest rate = 8.5% annually (compounded)

Number of years = 17

Amount at the ned of 17 years

= 4100(1 + 8.5/100)¹⁷

= 4100 (1.085)¹⁷

= $16409.28

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hoa [83]
   
\displaystyle\\&#10;(5-x)(5+x)=(x-4)^2-7\\\\&#10;5^2 - x^2 = x^2-8x + 16 -7\\\\&#10;-x^2 -x^2+8x + 25 -16+7=0\\\\&#10;-2x^2 + 8x +16=0\\\\&#10;x_{12}=  \frac{-b\pm  \sqrt{b^2-4ac} }{2a}= \frac{-8\pm \sqrt{64-4\cdot(-2)\cdot 16} }{2\cdot(-2)}=\\\\&#10; = \frac{-8\pm \sqrt{64+ 128} }{-4}= \frac{-8\pm \sqrt{192} }{-4}= \frac{-8\pm \sqrt{64\cdot 3} }{-4}=\\\\&#10;=\frac{-8\pm 8\sqrt{ 3} }{-4}=2\mp 2\sqrt{ 3}\\\\&#10;\boxed{\bf x_1 = 2-2\sqrt{ 3}}\\\\&#10;\boxed{\bf x_2 = 2+2\sqrt{ 3}}



8 0
4 years ago
Which group of ordered pairs are on the line given by the equation 5x – 2y = 6?
Katen [24]

Answer:

There are infinite ordered pairs are on the line because it has infinite solutions.

Step-by-step explanation:

5x - 2y = 6

-5x        -5x

-2y = -5x + 6

-2y/2 = -5x/-2 + 6/-2

y = 5/2x - 3

5x - 2(5/2x - 3) = 6

5x - 5x + 6 = 6

6 = 6

infinte solutions

4 0
3 years ago
Shannon rolls 2 fair dice and adds the results from each. Work out the probability of getting a total of 13.
Bingel [31]

Answer:

0.

Step-by-step explanation:

Fair dice are dice that have 6 sides, and the probability of rolling a side is the same as rolling another.

Since each die has 6 sides, the most you can get from the two dice are 6 + 6 = 12. Therefore, getting a 13 is impossible. So, there is a probability of 0.

Hope this helps!

4 0
3 years ago
a piggy bank contained $14.55 in quarters dimes and nickels if there were three more than twice as many dimes as nickels and thr
GarryVolchara [31]
<span>Let x=number of nickels in the piggy bank
(2x+3)=number of dimes in the piggy bank
(3x-3)=number of quarters in the piggy bank

.05x+.10(2x+3)+.25(3x-3)=14.55
.05x+.20x+.30+.75x-.75=14.55

</span>
<span>
1.00x=14.55+.45
x=15
2x+3=33
3x-3=42

The number of nickles in the piggy bank would be 15.
</span>
<span><span>The number of dimes in the piggy bank would be 33
</span></span>
<span>The number of quarters in the piggy bank would be 42. </span>

Hope I was able to help and that this was useful to you!!! :)
6 0
3 years ago
Read 2 more answers
How do you solve for the segment area in a circle?
Aleks04 [339]
The area of the entire sector of DEF = 60 / 360 * PI * radius^2
sector area = 1 / 6 * 3.14159265... * 20^2
sector area = <span> <span> <span> 209.4395102393 </span> </span> </span>

segment area = sector area - triangle DEF Area
triangle DEF Area = (1/2) * 20 * sine 60 * 20
triangle DEF Area = (1/2) * 0.86603 * 400
triangle DEF Area = <span><span><span>(1/2) * 346.412 </span> </span> </span>
triangle DEF Area = <span> <span> <span> 173.206 </span> </span> </span>

segment area = <span> <span> 209.4395102393 </span> -173.206
</span>
segment area = <span> <span> <span> 36.2335102393 </span> </span> </span>
segment area = 36.23 m

Source:
http://www.1728.org/circsect.htm



6 0
3 years ago
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