1
∫ f(x) dx = x⁵/5 + 3x⁴/4 - 5x³/3
-1
[1⁵/5 + 3⁴/4 - 5³/3] - [ -1⁵/5 -3⁴/4 +5³/3]
plug that into your calculator and that's your rate of change
Answer:
y = mx + b
therefore, the equation is y = -2/3x - 1
the -2/3 got the x because it is the slope and if you look at the formula, it tells you.
y-intercept is the starting point (b)
Step-by-step explanation:
Answer:
To determine the compound interest of a certain investment, the following formula should be used:
X = Initial value (1 + interest rate / number of compositions) ^ years x number of compositions
Thus, in the assumption of an investment of $ 1,000 with interest compounded daily at 3% for 8 years, the formula would be the following:
X = 1,000 x (1 + 3/365) ^ (8x365)
X = 1,271.24
On the other hand, in the case of an investment of $ 1,000 with compound interest every 6 months at 3% for 8 years, the formula would apply as follows:
X = 1,000 x (1 + 3/2) ^ (8x2)
X = 1,268.99
Answer: -185 (choice D)
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Explanation:
- x = first integer
- x+1 = second integer
Note how x+1 follows immediately after x. That's what "consecutive" means by definition. An example of consecutive integers would be 7,8,9,10.
Adding those two said integers will lead to -371
first+second = -371
x+(x+1) = -371
2x+1 = -371
2x = -371-1
2x = -372
x = -372/2
x = -186
x+1 = -186+1 = -185
Note how -186+(-185) = -371 to confirm the answer.
The two consecutive integers that add to -371 are -186, -185. The larger of the two is -185 since it's more to the right on the number line.
