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DENIUS [597]
2 years ago
14

Find the future value of $3633.49 invested for 2 years at 4% compounded monthly? ​

Mathematics
1 answer:
SSSSS [86.1K]2 years ago
3 0

Answer:

$290.68

Step-by-step explanation:

$3633.49 times 2 times 4% = $290.68

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Use four rectangles to estimate the area between the graph of the function f(x) = V3x + 5 and the x-axis on the interval[0, 4] u
yuradex [85]

Answer:

  12.123

Step-by-step explanation:

You want the area under the curve f(x) = √(3x+5) on the interval [0, 4] estimated using the left sum and four subintervals.

<h3>Riemann sum</h3>

When the interval [0, 4] is divided into four equal parts, each has unit width. That means the area of the rectangle defined by the curve and the interval width will be equal to the value of the curve at the left end of the interval.

The area we want is the sum ...

  f(0) +f(1) +f(2) +f(3)

As the attachment shows, that sum is ...

  area ≈ 12.123 . . . square units

__

<em>Additional comment</em>

The table values in the attachment are rounded to 7 decimal places. Trailing zeros are not shown. Actual values used have 12 significant digits, as the total shows.

Such a sum is called a Riemann sum, named for a German mathematician. Four such sums are commonly used, and further refinements are possible. Those are the left sum (as here), the right sum, the midpoint sum, and a sum using a trapezoidal approximation of the rectangle area.

For left, right, and midpoint sums, n function values are required for n subintervals. When the trapezoidal approximation is used, n+1 function values are required.

7 0
1 year ago
Does anyone know this?
zzz [600]

Answer:

-3

Step-by-step explanation:

Since x=1, we can simplify the equation to 9+7y=-12.

To find the value of 7y, we first have to find what is missing.

-12-9=-21, so 7y has to be equal to -21. -21/7 equals -3, so y=-3.

7 0
3 years ago
7x² + 6x - 1<br> Algebra 3|factoring
GaryK [48]

Answer:

(7 x - 1) (x + 1)

Step-by-step explanation:

Factor the following:

7 x^2 + 6 x - 1

Factor the quadratic 7 x^2 + 6 x - 1. The coefficient of x^2 is 7 and the constant term is -1. The product of 7 and -1 is -7. The factors of -7 which sum to 6 are -1 and 7. So 7 x^2 + 6 x - 1 = 7 x^2 + 7 x - x - 1 = (7 x - 1) + x (7 x - 1):

(7 x - 1) + x (7 x - 1)

Factor 7 x - 1 from (7 x - 1) + x (7 x - 1):

Answer: (7 x - 1) (x + 1)

5 0
3 years ago
What is the x-intercept of the line 10x-5y=40
jasenka [17]

Answer:

4

Step-by-step explanation:

The x-intercept occurs when y=0, if you think about it graphically.  Plug y=o into your equation:

10x - 5(0) = 40

10x = 40 (divide each side by 10)

x=4

8 0
3 years ago
What is the constant of proportionality, y/X
Daniel [21]

Answer:

Best answer would be 1/2. If that doesn't work then 0.5/1 would be the answer.

8 0
2 years ago
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