Answer:
D. 5 +6k/n
Step-by-step explanation:
The width of the interval is (5 -2) = 3. The width of one of n parts of it will be ...
3/n
Then the difference between the left end point of the interval and the value of x at the right end of the k-th rectangle will be ...
k·(3/n) = 3k/n
So, the value of x at that point is that difference added to the interval's left end:
2 + 3k/n
The value of the function for this value of x is ...
f(2 +3k/n) = 2(2 +3k/n) +1 = (4 +6k/n) +1
= 5 +6k/n
Answer:
-3m-4n+14 (D)
Step-by-step explanation:
R-S+T=
<em>Substitute the Values given</em>
(11-2m)-(n+5)+(-m-3n+8)=
<em>Open Parenthesis</em>
11-2m-n-5-m-3n+8=
<em>Combine Like Terms</em>
-3m-4n+14
Answer:
It'll take 7.5967 years to have $300 on that account.
Step-by-step explanation:
This problem involves a compounded interest compounded continuously, so in order to solve it we must use the formula for those cases as shown below:
M = C*e^(i*t)
Where M is the final value, C is the initial capital, i is the interest rate and t is the total time. We have:
300 = 250*e^(0.024*t)
e^(0.024*t) = 300/250
e^(0.024*t) = 1.2
0.024*t = ln(1.2)
t = ln(1.2)/0.024 = 7.5967
It'll take 7.5967 years to have $300 on that account.
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Answer:
15
Step-by-step explanation:
70÷14=5
5×3=15
So the ratio would be 70:15 which can be simplified to 14:3