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2 years ago

-2/3,1/3,-1/6,1/12 Use inductive reasoning to predict the next term in the sequence

Mathematics

1 answer:

Marianna [84]2 years ago

4 0

Answer:

- 1/24

Step-by-step explanation:

Keep multiplying by -1/2 to find the 'next' term

1/12 * - 1/2 = - 1/24

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Find the interest principle 8000 rate .06 compounded annually years 3

HACTEHA [7]

Answer:

535.07

Step-by-step explanation:

S=P(1+ i) ^n

i= nominal rate of interest / number of compounding periods

i =. 06/12

=0.18

Divided by 100

=0.0018

n- number of times interest is given per year x the number of years

n=12x3

=36

8000(1+0.0018)^36

=8535.07

Interest

8535.07 - 8000

=535.07

7 0

3 years ago

A. a teacher wants a large poster of the Declaration of Independence that is three times its actual size. What are the dimension

bonufazy [111]

1.25 or 0.50
because you rounded to a decimal

5 0

4 years ago

Read 2 more answers

A six-sided die is rolled three times. what is the probability that all three rolls will be 6?

PSYCHO15rus [73]

you have a 1/6 probability of rolling a 6

so for 3 6's it would be

1/6 x 1/6 x 1/6 = 1/216

6 0

3 years ago

Could someone please answer this And explain I would really appreciate it thank you so much :)

makvit [3.9K]

Answer:

The first choice

Step-by-step explanation:

So you see that square down there, does mean that the angle is 90 degrees. So 90-50 = 40 so yea the first choice.

6 0

3 years ago

How do you solve cos(pi/24) using Half-Angle formulas, and leaving in simplified form?

adoni [48]

$\cos \frac{\theta}{2}=\sqrt{\frac{1+\cos \theta}{2}}
\\
\\ \cos{\frac{\pi}{24}}=\cos{\frac{\frac{\pi}{12}}{2}}=\sqrt{\frac{1+\cos \frac{\pi}{12}}{2}}= \sqrt{ \frac{1}{2}+ \frac{\cos \frac{\pi}{12}}{2} } 
\\
\\ \cos{\frac{\pi}{12}}=\cos{\frac{\frac{\pi}{6}}{2}}=\sqrt{\frac{1+\cos \frac{\pi}{6}}{2}}= \sqrt{ \frac{1}{2}+ \frac{ \frac{ \sqrt{3} }{2} }{2} } =\sqrt{ \frac{2}{4}+ \frac{ \sqrt{3} }{4} } = \sqrt{\frac{ 2+\sqrt{3} }{4} } = 
\\
\\ =\frac{ \sqrt{2+\sqrt{3}} }{2} 
$

$\cos{\frac{\pi}{24}}= \sqrt{ \frac{1}{2}+ \frac{\cos \frac{\pi}{12}}{2} } = \sqrt{ \frac{1}{2}+ \frac{\frac{ \sqrt{2+\sqrt{3}} }{2}}{2} } = \sqrt{ \frac{2}{4}+ \frac{ \sqrt{2+\sqrt{3}} }{4}} } =\sqrt{ \frac{ 2+\sqrt{2+\sqrt{3}} }{4}} } 
\\
\\\cos{\frac{\pi}{24}}=\frac{\sqrt{2+\sqrt{2+\sqrt{3}}}} {2}$

6 0

3 years ago