I believe The answer is x=9
Answer:
$2000
Step-by-step explanation:
6,000 dollars is invested in two different accounts earning 3% and 5% interest.
Let x be the amount invested in account earning 3% interest
So, 6000-x is the amount invested in account earning 5% interest
So, Simple interest for account earning 3% interest
Simple interest for account earning 5% interest
Since we are given that the two accounts earned $220 in interest
So, 
So, 4000 was invested at 3%
(6000-x)=6000-4000=2000 was invested at 5%
Hence 2000 was invested at 5%
1. given:
csc(x) + sin(x)
2. definition of csc(x) :
1/sin(x) + sin(x)
3. combining fractions with a common denominator:
(1 + sin²(x))/sin(x)
4. expanding 1 = cos²(x) + sin²(x) :
(cos²(x) + sin²(x) + sin²(x))/sin(x)
5. simplifying:
(2 sin²(x) + cos²(x))/sin(x)
6. employing the same identity as in (4) :
(2 (1 - cos²(x)) + cos²(x))/sin(x)
7. expanding 2 (1 - cos²(x)) :
(2 - 2 cos²(x) + cos²(x))/sin(x)
8. simplifying:
(2 - cos²(x))/sin(x)
Changing those words into an equation, we get:
7+3x = 19
Subtract both sides by 7
3x = 12
Divide both sides by 3
x = 4
That number is 4. Have a nice day! :)
Answer:
80% of the buttons were large.
Step-by-step explanation:
Recall that percentages are fractions.
We first need to find the total number of buttons that Eva bought
64 + 16 = 80
Then we need to divide 64 into 80 as a fraction of the whole (80 is our whole)
64 ÷ 80 = 0.8
To convert our decimal to a percentage, we must multiply it by 100.
0.8 * 100% = 80%
Therefore, 80% of the buttons were large.
