Answer:
y - 7 = 4(x - 35)
Step-by-step explanation:
The fundamental theorem of calculus states that:
= f(x).
So using the fundamental theorem of calculus, you can find that h'(x) = f(x).
The question tells you that f(x) is periodic with a period of 8, so f(x) repeats itself every 8 units.
Using this, you can find that the slope of h(x) at x = 35 is the same as the slope of h(x) at x = 3, which is 4.
The slope of h(x) at x = 35 is 4.
Now I have to find the value of h(x) when x = 35. It is the area under f(x) from 0 to 35.
The area underneath f(x) from 0 to 35 is 7. When x = 35, h(x) = 7.
Now use the point-slope formula to write the equation of the tangent line.
The answer is <u>y - 7 = 4(x - 35)</u>
Answer:
45
Step-by-step explanation:
Ratio is 5:3
So total ratio "parts" is 5 + 3 = 8
In total there are 120 dogs served, so each part is:
120/8 = 15 dogs
Since, footlong hot dogs are "3" parts, and each part is 15 dogs, there will be:
3 * 15 = 45 footlong hotdogs
Your answer is c ur welcome
Answer: £23,360
Step-by-step explanation:
You can use algebra to solve this.
Assume that the original investment is x.
In the beginning of 2015 the balance had increased by 2.5% which is denoted as:
= 1.025x
Carol then withdrew a thousand:
= 1.025x - 1,000
This value then increased by 2.5% again by the beginning of 2016:
= 1.025 * (1.025x - 1,000)
Relevant expression therefore is:
1.025 *(1.025x - 1,000) = 23,517.60
1.025x - 1,000 = 23,517.60/1.025
1.025x = 22,944 + 1,000
x = 23,944/1.025
x = £23,360