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Lilit [14]
2 years ago
14

George tells you that when variables are in the denominator, the equation becomes unsolvable. "There is a value for x that makes

the denominator zero, and you can't divide by zero," George explains. Using complete sentences, demonstrate to George how the equation is still solvable.
Mathematics
1 answer:
lyudmila [28]2 years ago
7 0
The equation can still be solved but it should be stated clearly at what value of would the equation be undefined. For instance, you have an expression,

1/x+2

When x is equal to -2, the denominator will be 0 resulting to an undefined solution. The value of x here can be any real number except -2.
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You invested money in two funds. Last year, the first fund paid a dividend of 8% and the second a dividend of 5%, and you receiv
Angelina_Jolie [31]

You invested 11000 in in 2st fund and 9000 in 2nd fund

<h3><u>Solution:</u></h3>

Given that, You invested money in two funds.  

Last year, the first fund paid a dividend of 8% and the second a dividend of 5%, and you received a total of $1330.  

This year, the first fund paid a 12% dividend and the second only 2%, and you received a total of $1500.

Let the amount in Fund I be $x and amount in Fund II be $ y

Then, for last year ⇒ 0.08x+0.05y=1330 ----- eqn (1)  

And for this year ⇒ 0.12x+0.02y=1500 ------- eqn (2)  

Multiply (1) by 2 ⇒ 0.16 x + 0.1 y = 2660  

Multiply (2) by 5 ⇒ 0.6 x + 0.1 y = 7500

Subtract the two equations  

(2) ⇒ 0.6x + 0.1y = 7500

(1) ⇒ 0.16x + 0.1y = 2660

(-) --------------------------------

0.44x + 0 = 4840

x = 11000

Now, from eqn (2)  

0.12(11000) + 0.02y = 1500  

0.02y = 1500 – 1320  

0.02y = 180  

y = 9000

Hence, he invested 11000 in in 2st fund and 9000 in 2nd fund

5 0
2 years ago
What degree is a straight angle?
natita [175]

Answer:

180 degree

Step-by-step explanation:

A straight line is 180 degrees, or a "straight" angle.

4 0
2 years ago
Female athletes at the University of Colorado, Boulder, have a long-term graduation rate of 67% (Source: Chronicle of Higher Edu
VLD [36.1K]

Answer:

Yes, we can assume that the percent of female athletes graduating from the University of Colorado is less than 67%.

Step-by-step explanation:

We need to find p-value first:

z statistic = (p⁻ - p0) / √[p0 x (1 - p0) / n]

p⁻ = X / n = 21 / 38 = 0.5526316

the alternate hypothesis states that p-value must be under the normal curve, i.e. the percent of female athletes graduating remains at 67% 

H1: p < 0.67 

z = (0.5526316 - 0.67) / √[0.67 x (1 - 0.67) / 38] = -0.1173684 / 0.076278575

z = -1.538681 

using a p-value calculator for  z = -1.538681, confidence level of 5%

p-value = .062024, not significant

Since p-value is not significant, we must reject the alternate hypothesis and retain the null hypothesis.

3 0
3 years ago
The sum of twice a number and 18 is 5 less than three times the number, Write the
topjm [15]

Step-by-step explanation:

Let x represent the number.

We have 2x + 18 = 3x - 5, therefore x = 23.

The number is 23.

8 0
2 years ago
When multiplying numbers with the same base you________ the exponents.
sp2606 [1]

Answer:

add

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
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