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solniwko [45]
4 years ago
14

An account paying 4.6% interest compounded quarterly has a balance of $506,732.32. Determine the amount that can be withdrawn qu

arterly from the account for 20 years, assuming ordinary annuity.
Mathematics
2 answers:
just olya [345]4 years ago
7 0

Answer:

$4842295538

Step-by-step explanation:

Amount after 20 yrs

A = p(1 + r/n)^tn

A= 506,732.32(1+(0.46/60))^ (20*60)

A = 506,732.32(1+(7.667*10^-3))^ (1200)

A = 506,732.32(1.0076667)^(1200)

A = 506,732.32*9555.924

A = 4842295538

Lisa [10]4 years ago
4 0
14 percent in the department

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Misha Larkins [42]

Answer:

B. Alternate Interior Angles

Step-by-step explanation:

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3 years ago
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Brett is making a fruit salad. The recipe calls for 1 1 2 cups of apple, 3 4 cup of oranges, and 2 3 cup of grapes. How many cup
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I believe he made 169 cups of fruit salad, or is it a trick question?
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Write an equation for the line that passes through (-8.5, 11) and (5, -2.5).
max2010maxim [7]

9514 1404 393

Answer:

  y = -x + 5/2

Step-by-step explanation:

The 2-point form of the equation of a line can be useful.

  y = (y2 -y1)/(x2 -x1)/(x -x1) +y1

  y = (-2.5 -11)/(5 -(-8.5))/(x -(-8.5)) + 11

  y = -13.5/13.5(x +8.5) +11 . . . . . . simplify a bit

  y = -x +2.5 . . . . . write in slope-intercept form

8 0
3 years ago
What is 0.55 hectometers expressed in decimeters? a. 550 dm b. 5.5 dm c. 55 dm d. 0.00055 dm please select the best answer from
zubka84 [21]

The correct option is a. 550 dm.

The 0.55 hectometers expressed in decimeters are 550 dm.

<h3>What is unit conversion?</h3>

Unit conversion is a multi-step process that involves multiplying or dividing by a numerical factor and, more specifically, a conversion factor.

  • The process may also necessitate selecting the appropriate amount of significant digits and rounding.
  • Different conversion units are employed to measure various parameters.
  1. Measuring Temperature
  2. Measuring Length
  3. Measuring Capacity
  4. Measuring Weight
  • Conversion of units is defined as the process of converting between different units & measurements of a given quantity using multiplication or division.
  • Conversion is the method of changing the amount of one form in terms of mathematics, such as inches to millimeters or liters to gallons.
  • Units are used in the measurement of length, weight, capacity, temperature, and speed.

To know more about unit conversion, here

brainly.com/question/13016491

#SPJ4

6 0
2 years ago
URGENT: statistics: A researcher wishes to estimate the percentage of adults who support abolishing the penny what size sample s
irina1246 [14]

Using the margin of error for the z-distribution, the sample sizes are given as follows:

a) 822.

b) 1068.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

The margin of error is given by:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

In which:

  • \pi is the sample proportion.
  • z is the critical value.
  • n is the sample size.

We have a 95% confidence level, hence\alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so the critical value is z = 1.96.

Item a:

The estimate is of \pi = 0.26, hence we solve for n when M = 0.03.

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.03 = 1.96\sqrt{\frac{0.26(0.74)}{n}}

0.03\sqrt{n} = 1.96\sqrt{0.26(0.74)}

\sqrt{n} = \frac{1.96\sqrt{0.26(0.74)}}{0.03}

(\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.26(0.74)}}{0.03}\right)^2

n = 821.2

A sample of 822 is needed.

Item b:

No prior estimate, hence \pi = 0.5.

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.03 = 1.96\sqrt{\frac{0.5(0.5)}{n}}

0.03\sqrt{n} = 1.96\sqrt{0.5(0.5)}

\sqrt{n} = \frac{1.96\sqrt{0.5(0.5)}}{0.03}

(\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.5(0.5)}}{0.03}\right)^2

n = 1067.11

A sample of 1068 is needed.

More can be learned about the z-distribution at brainly.com/question/25890103

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4 0
2 years ago
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