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Dominik [7]
2 years ago
8

Please help me with this question!

Mathematics
1 answer:
Reil [10]2 years ago
7 0

\cos(theta)  =  \frac{60}{61}

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The seventh term of an arithmetic sequence is 10.2 and the twelfth term is 17.7. What is the common difference of the arithmetic
marshall27 [118]
7 = 10.2
12 = 17.7
Let's take 
d = 17.7 - 10.2/ 12 - 7
d =  7.5/ 5
d = 1.5
The common difference is 1.5

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3 0
3 years ago
Read 2 more answers
Molly opened a savings account with a one‐time deposit of $100 that will be left in the account for at least 5 years. The saving
Anettt [7]

The amount of interest Molly will earn after 5 years on a deposit of \$100 compounded annually over 5 years is \$27.63

First, we need to find the future value of her investment, then we subtract the original deposit from it to get the amount of interest she will get at the end of 5 years.

The future value of an investment that is compounded annually is given by

A=P(1+r)^t

where

A=\text{Amount of money in Molly's account after 5 years}\\P=\text{Molly's initial deposit into her account}=\$500\\r=\text{The annual interest rate as a decimal}=0.05\\t=\text{The time the money is invested (in years)}=5

Substituting the available values into the formula and solving

A=100(1+0.05)^5=100(1.05)^5 \approx \$ 127.63

The interest Molly will earn after 5 years is

A-P=\$127.63-\$100=\$27.63

Therefore, the amount of interest Molly will earn after 5 years on a deposit of \$100 compounded annually over 5 years is \$27.63

Learn more about compound interest here: brainly.com/question/21270833

8 0
2 years ago
Please help me with this if you can? thanks alot :)))​
Lynna [10]

The probabilities are:

  • P(red) = 5/24
  • P(orange) =  0
  • P(blue) =  1/3
  • P(not green)= 17/24
  • P(green or black) = 11/24
  • P(not yellow)  = 1.

<h3>How to find the probabilities?</h3>

The probability of getting a particular color of marble, is given by the quotient between the number of marbles of that color and the total number of marbles.

Here we have:

  • 5 red marbles.
  • 7 green marbles.
  • 4 black marbles.
  • 8 blue marbles.

So the total number is 5 + 7 + 4 + 8 = 24.

Then:

  • P(red) = 5/24
  • P(orange) = 0/24 = 0  (because there are 0 orange marbles).
  • P(blue) = 8/24 = 1/3
  • P(not green) = (24 - 7)/24 = 17/24
  • P(green or black) = (4 + 7)/24 = 11/24
  • P(not yellow) = 24/24 = 1 (because there aren't yellow marbles).

If you want to learn more about probability, you can read:

brainly.com/question/251701

#SPJ1

5 0
2 years ago
Maria is comparing the prices of two window cleaning companies. Company A charges $6 per window and an additional $12 as service
Pani-rosa [81]
Part A: 6w + 12 = 5w + 15

Part B: 6(8) + 12 = 5(8) + 15
48 + 12 = 40 + 15
60 = 55 = Company B equals $55 which is less than $60

Part C: $5 is saved because of the amount of money.
Hope this helps :)

8 0
3 years ago
Dave rolls a die and flips a coin. How many outcomes are in the sample space?
kogti [31]
Well the are six sides and numbers on the dices and two sides on the coin so there would be 8 outcomes

5 0
3 years ago
Read 2 more answers
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