Answer: D
Step-by-step explanation: slope = "rise over run" = 1.5/18 = 3/36 = 1/12 for the 1st section to the landing
slope is the change in height, the vertical change, divided by the change in horizontal distance
2nd section has slope 1/18 and covers 9 feet. That means it rises 1/2 foot
slope = 1/18 = (1/2)/9
the door is 2 feet higher than the ground level, 1.5 + .5 = 2 feet change vertically
Answer: 150 min
Step-by-step explanation:
2 hours = 120 min, 120 + 30 min = 150 min
Hello! I can help you with this!
a. The function that would best represent Samantha's account is f(5) = 500(1 + 0.04)^5. This is because $500 is the principal, the interest rate is 4%, and we're looking for the amount in the savings account 5 years later.
b. Okay. 1 = 0.04 is 1.04. 1.04^5 is 1.216652902. It's a long decimal, but don't delete it. Multiply that decimal by 500 and you get 608.32645 and other numbers behind it or 608 when rounded to the nearest dollar. Samantha will have about $608 in her savings account in 5 years.
Note: The formula goes like this: f(x) = P(1 + r)^x. This means, you add 1 and the simple interest rate in decimal form together and raise that up by the exponent. There is no shortcuts for this, so you'll have to use the calculator. There will be a very long decimal, but don't clear it. Instead, multiply it by the principal to get the answer. It seems very complicating, but if you do this right, it gets easier overtime and you'll make less errors. There are more complex problems out there, so this formula is very important, but it was kept simple for this question.
Answer:
3x^2-6x -3
Step-by-step explanation:
(2x^2-5x+1)+(x^2-x-4)
we sum all coefficient according to the exponent of the variable
2x^2-5x+1+x^2-x-4 = 3x^2-6x -3
The area of a rhombus is half of the product of the lengths of the diagonals.
area = (7.5 yd + 7.5 yd)(13 yd + 13 yd)/2
area = (15 yd)(26 yd)/2
area = 390 yd^2/2
area = 195 yd^2
Answer: 195
