Answer:
<em>Please follow;</em>
<em>Please follow;Hope you're having a splendiferous day.</em>
Step-by-step explanation:
1. 5÷½=10
2. 9÷⅓=27
3. 8÷⅘=10
4. 12÷2/6=36
5. 16÷⅘=20
Answer:
The Pythagorean identity states that
Using that we can rewrite the left denominator as:
Which can be factored as
The numerator we can expand as:
On the right hand side, let's multply numerator and denominator with (1 - sin t):
The total formula then becomes:
There you go... left and right are equal.
Let be the unknown number. So, three times that number means , and the square of the number is
We have to sum 528 and three times the number, so we have
Then, we have to subtract this number from , so we have
The result is 120, so the equation is
This is a quadratic equation, i.e. an equation like . These equation can be solved - assuming they have a solution - with the following formula
If you plug the values from your equation, you have
So, the two solutions would be
But we know that x is positive, so we only accept the solution
Answer:
Step-by-step explanation:
We can use the double angle identity for sine.
The given expresion is
We apply the identity to get:
We simplify to obtain;
This simplifies to:
The correct answer is D
In order to determine the balance of the account, use the following formula for the amount of money obtained after t years, basen on a compound interest:
where,
P: principal = $12,500
A: amount earnt after t years = ?
r: interest rate in decimal form = 0.045 (4.5%)
n: times at year for the compund interes = 4 (quaterly)
Replace the previous values of the parameters into the formula for A and simplify:
Hence, the balance after 8 years is approximately $17,880.64 in the account.
The interest earnt by the account is given by the difference between the previous result and the principal invesment:
I = $17,880.64 - $12,500 = $5,380.64
Hence, the interest earnt is $5,380.64