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Sidana [21]
3 years ago
7

(23+8x-x²)+(x³+x²+34-18x)

Mathematics
1 answer:
bearhunter [10]3 years ago
3 0

Answer:

x^3 -10x + 57

Step-by-step explanation:

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Linda won $200,000 in a state lottery. She first paid income tax on 30% on the winnings. She invested some of the rest at 1.5% a
Lady_Fox [76]

She invested $ 50000 at 1.5% rate and $ 90000 at 4% rate.

<u><em>Explanation</em></u>

Total amount of winnings = $ 200000

She first paid income tax on 30% on the winnings. So, the amount paid as income tax =(200000*0.30)dollar=60000 dollar.

<u>Remaining amount</u> = $ 200000 - $ 60000 = $ 140000

Suppose, she invested  x dollar at 1.5% rate.

That means, she invested (140000-x) dollar at 4% rate.

Given that, the total amount of interest earned = $ 4350

So, the equation will be.....

0.015x+0.04(140000-x)=4350\\ \\ 0.015x+5600-0.04x=4350\\ \\ -0.025x= 4350-5600\\ \\ -0.025x=-1250\\ \\ x= \frac{-1250}{-0.025}=50000

So, amount of investment at 1.5% rate = $ 50000

and amount of investment at 4% rate = $ 140000 - $ 50000 = $ 90000  


5 0
3 years ago
Which set or sets does -20 belong which means whole number integer or rational number
VladimirAG [237]

Answer:

A whole number

Step-by-step explanation:

because a whole number is a number with no fractions or decimals . it is basically just an integer

3 0
3 years ago
Read 2 more answers
A mouse is trapped in a maze. To find his way out he walks 10 m, makes a 90° right turn, walks 5 m, makes another 90°, and walks
zimovet [89]

5.8m

use Pythagoras Theorem

4 0
3 years ago
Identify the x- and y-intercepts.
UkoKoshka [18]
I would say the x intercept is (6,0) and the y intercept is (4,0)
4 0
3 years ago
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The mean for a data set is 60. The Z-score for
Vladimir [108]

Answer:

D. a = 60 and b = 58.8

Step-by-step explanation:

Z-score:

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Z-score for data point a is 0.

This means that a is the mean, that is, a = 60.

The z-score for data point b is -0.4.

This means that b must be a value below the mean, that is, a value below 60.

The option that satisfies a = 60 and b < 60 is option D, which is the answer.

7 0
3 years ago
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