Step-by-step explanation:
the empirical probability is 24/30, or 4/5. this is also the desired probability.
Hi there! Based off of the answer choices, I think this has to do with compound interest. The formula for compound interest is P(1 + r)^t. P = principal (initial amount), r = rate (percentage), and t = time (years). The rate is 4%. 4% is 0.04 in decimal form. Add 1 to that number in order to get 1.04. Now, raise that decimal to the 3rd power, because that is being compounded annually and it is being compound 3 times, because three years will have passed. 1.04³ is 1.124864. Don't delete that decimal or round. Now, multiply that number by the principal, which is 2,000. When you do that, you get 2,249.728 or 2,249.73 when rounded to the nearest hundredth. If no money is withdrawn, there will be $2,249.73 in 3 years. The answer is B.
Note: For the formula, you just follow the order of operations. In order words, convert the rate into decimal form, add 1 to it, then raise it to the power, based on the number of years. Don't delete the decimal from the calculator or round. Multiply that decimal by the principal to get your answer. You always solve compound interest questions like these with that formula. There is something extra that applies on some occasions, but we don't need it for this problem.
Answer/Step-by-step explanation:
a. Diagonals of a rectangle are equal to each other. Therefore:
9x + 20 = 10x + 8
Collect like terms
9x - 10x = -20 + 8
-x = -12
Divide both sides by -1
x = 12
b. One of the properties of a rhombus is that, a diagonal of a rhombus bisects the angles of a rhombus. Therefore, this means that:
2x + 15 = 5x + 3
Collect like terms
2x - 5x = -15 + 3
-3x = -12
Divide both sides by -3
x = 4
90-80=10. 9-6=1 and 0-0=0 so it equals 10. Hopefully this helped!! =“)
Using the definition of angles on a straight line, the measure of angle BEC is: 62°.
<h3>What are Angles on a Straight Line?</h3>
Angles that lie on a straight line add up to 180 degrees.
Thus, given that EB bisects ∠AEC, therefore:
m∠BEC = 1/2(180 - m∠CED)
Plug in the values
m∠BEC = 1/2(180 - 56)
m∠BEC = 1/2(124)
m∠BEC = 62°
Thus, using the definition of angles on a straight line, the measure of angle BEC is: 62°.
Learn more about angles on a straight line on:
brainly.com/question/24024505
