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liraira [26]
3 years ago
13

How much money would be $0.10 for every dollar of $400.00 be?​

Mathematics
1 answer:
faltersainse [42]3 years ago
7 0

Answer:

$40

Step-by-step explanation:

400x0.10=40

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Estimate the integral ∫6,0 x^2dx by the midpoint estimate, n = 6
Anettt [7]
Splitting up the interval [0, 6] into 6 subintervals means we have

[0,1]\cup[1,2]\cup[2,3]\cup\cdots\cup[5,6]

and the respective midpoints are \dfrac12,\dfrac32,\dfrac52,\ldots,\dfrac{11}2. We can write these sequentially as {x_i}^*=\dfrac{2i+1}2 where 0\le i\le5.

So the integral is approximately

\displaystyle\int_0^6x^2\,\mathrm dx\approx\sum_{i=0}^5({x_i}^*)^2\Delta x_i=\frac{6-0}6\sum_{i=0}^5({x_i}^*)^2=\sum_{i=0}^5\left(\frac{2i+1}2\right)^2

Recall that

\displaystyle\sum_{i=1}^ni^2=\frac{n(n+1)(2n+1)}6
\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2
\displaystyle\sum_{i=1}^n1=n

so our sum becomes

\displaystyle\sum_{i=0}^5\left(\frac{2i+1}2\right)^2=\sum_{i=0}^5\left(i^2+i+\frac14\right)
=\displaystyle\frac{5(6)(11)}6+\frac{5(6)}2+\frac54=\frac{143}2

8 0
2 years ago
A laundromat charges $10.80 to clean 18 pounds of laundry. At the same rate, how much will the laundromat charge for 28 pounds o
Drupady [299]

Answer: 16.80 for 28 pounds of laundry

7 0
3 years ago
What is 15456415 times 45415
masha68 [24]

Answer: 701953087225 is the answer

4 0
3 years ago
A company’s stock earned $151,000,000. If these earnings represent $1.14 per share. How many shares of stock are there?
miskamm [114]

\dfrac{151 \textrm{ \$M}}{1.14 \textrm{ \$/share}} = 132.45... \textrm{ M share}

Answer: About 132 million shares




3 0
2 years ago
Can you do this 3(2x-6)-7x+4?
Serjik [45]
3(2x-6)-7x+4
3*2x=6x. 3*-6=-18
-7x+6x=-1x. -18+4=-14
-1x/-1=x. -14/-1=14
X=14
7 0
3 years ago
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