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Ratling [72]
3 years ago
15

Problem: It takes 1200 workers 8 years to build 3 ziggurats. How many years would It take 1600 workers to build 25 ziggurats? ​

Mathematics
1 answer:
katen-ka-za [31]3 years ago
4 0

17 years

Step-by-step explanation:

1200/3z = 8

400=8/3 year for each building

they take 8

1600 is 2/3 year for each building

2/3 times 25 is 16.666

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April is considering a 7/23 balloon mortgage with an interest rate of 4.15% to
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Answer:170,118.49

Step-by-step explanation:apex

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4 years ago
Use absolute value to express the distance between -12 and -15 on the number line
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7 0
3 years ago
PLEASE HELP ASAP!!! 50 Points!!!!
deff fn [24]

Answer:

two solutions x = 1 and x = - 8/3 x

Step-by-step explanation:

These are two questions and two answers:

Question 1:

A quadratic equation is shown below: 3x^2 − 15x + 20 = 0 Part A: Describe the solution(s) to the equation by just determining the radicand. Show your work.

Answer: The negative value of the radicand means that the equation does not have real solutions.

Explanation:

1) With radicand the statement means the disciminant of the quadratic function.

2) The discriminant is: b² - 4ac, where a, b, and c are the coefficients of the quadratic equation: ax² + bx + c

3) Then, for 3x² - 15x + 20, a = 3, b = - 15, and c = 20

and the discriminant (radicand) is: (-15)² - 4(3)(20) = 225 - 240 = - 15.

4) The negative value of the radicand means that the equation does not have real solutions.

Question 2:

Part B: Solve 3x^2 + 5x − 8 = 0 by using an appropriate method. Show the steps of your work, and explain why you chose the method used.

Answer: two solutions x = 1 and x = - 8/3x

Explanation:

1) I choose factoring (you may use the quadratic formula if you prefer)

2) Factoring

Given: 3x² + 5x − 8 = 0

Make 5x = 8x - 3x: 3x² + 8x - 3x - 8 = 0

Group: (3x² - 3x) + (8x - 8) = 0

Common factors for each group: 3x(x -1) + 8(x - 1) = 0

Coomon factor x - 1: (x - 1) (3x + 8) = 0

The two solutions are for each factor equal to zero:

x - 1 = 0 ⇒ x = 1

3x + 8 = 0 ⇒ x = -8/3

Those are the two solutions. x = 1 and x = - 8/3

8 0
3 years ago
Read 2 more answers
Cholesterol level has a Normal distribution N(170,30), find the first quartile.
geniusboy [140]

Step-by-step explanation:

In statistics, the quartile is a measurement of the spread of values within a dataset above and below the mean via a division of the distribution into four defined intervals. A quartile partitions the data at three points within the distribution.

  • 25% of the data lies below the lower or first quartile, denoted as Q_{1}.

  • 50% of the data lies below the median or second quartile, denoted as Q_{2}.

  • 75% of the data lies below the upper or third quartile, denoted as Q_{3}.

Thus, logically, we know that the remaining 25% of the data lies above the third quartile.

As shown in the figure below, the score that defines the first quartile of the defined normal distribution is the same as the score that, when evaluated in the cumulative density function, \Phi, gives 25% of the area under the bell curve.

To find this z-score, we can use the help of the NORM.INV function in Microsoft Excel, which obtains the inverse of the normal cumulative distribution and the syntax, type into a cell, is as follows:

                                     =\text{NORM.INV(0.25, 170, 30)}

which gives you the value 149.77  (2 s.f.).

This means that 25% of the values of cholesterol levels lie below 149.77.

7 0
3 years ago
If you deposit $14,000 in an account that pays 7.47% annual interest compounded continuously. Remember A=Pe^rt.
iren [92.7K]

Answer: After 1 year = $15085.85168

After 5 years = $20339.34789

After 10 years = $29549.21947

After 25 years = $90609.34284

Step-by-step explanation:

14000e^.0747 (however many years)

3 0
4 years ago
Read 2 more answers
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