Answer:
406.35
Step-by-step explanation:
40 times $9.45=378
2 times (9.45times1.5)= 28.35
28.35+378= 406.35
Answer:
24% probability that both fund A and fund B will rise in price
Step-by-step explanation:
We have these following probabilities:
40% probability that fund A will rise in price.
If fund B rises in price, 60% probability that fund B does.
What is the probability that both fund A and fund B will rise in price
40% of A, and if A rises, 60% is B. Since the only outcome that interests us is both rising in price, we multiply these probabilities
24% probability that both fund A and fund B will rise in price
First I would isolate the "y"/make the "y" positive.
-y ≤ 4x
Divide -1 on both sides (if you multiply or divide by a negative number/variable, you flip the sign [< , > , ≤ , ≥])
y ≥ -4x
You can think of this inequality like the slope intercept form: y=mx + b
"m" is the slope, "b" is the y-intercept(when x = 0). The only difference is that the sign is not an equal sign. The slope is -4, and since you don't have a y-intercept, you start from the origin. So your line is decreasing.
When the sign is ≤ or ≥ ("less/greater than <u>or equal to</u>"), the line is a solid line.
When the sign is < or >, the line is a dotted line.
Based on the inequality, the "y" is <u>greater than or equal to</u> the equation(-4x), so the shaded area is above the line, and the line is solid.
Your answer is A
Answer:
The volume of the rectangular prism is
Step-by-step explanation:
In order to solve this problem, you must multiply the dimensions by each other. Since the area has been calculated, multiply the height by the area.
Example
This is the answer.
[This link can explain how to multiply mixed fractions by fractions.
https://www.calculatorsoup.com/calculators/math/mixednumbers.php?operand_1=1+3%2F4&operator=multiply&operand_2=1%2F2&action=solve]
Check the picture below.
something worth noticing
so, we're really graphing x+2, with a hole at x = 3, however, when x = 3, we know that f(x) = 5, but but but, when x = 3, x+2 = 5, so we end up with a continuous line all the way, x ∈ ℝ, because the "hole" from the first subfunction, gets closed off by the second subfunction in the piece-wise.