-9(z+8)=-9z-72

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Answer:

x < -9 or x > 10.

Step-by-step explanation:

x + 10 > 20

x  > 10.

x + 12 < 3

x < -9.

Answer:

The difference between the principal and the compound interest in three years is Rs 17,994

Step-by-step explanation:

The compound interest is given according to the following formula;

[tex]C.I. = P \cdot \left ( 1 + \dfrac{r}{n} \right ) ^{n\cdot t} - P[/tex]

The given amount of the compound after 2 years = Rs 5,460

The given amount of the compound after 4 years = Rs 12,066.60

Therefore, we have;

[tex]5,460 = P \cdot \left ( 1 + \dfrac{r}{100} \right ) ^{2} - P[/tex]...(1)

[tex]12,066.60 = P \cdot \left ( 1 + \dfrac{r}{100} \right ) ^{4} - P[/tex] ...(2)

Dividing equation (2) by (1), we have;

[tex]\dfrac{12,066.60}{5,460} = \dfrac{P \cdot \left ( \left ( 1 + \dfrac{r}{100} \right ) ^{4} - 1\right )}{P \cdot \left (\left ( 1 + \dfrac{r}{100} \right ) ^{2} -1 \right ) } =\dfrac{\left ( 1 + \dfrac{r}{100} \right ) ^{4} - 1}{\left ( 1 + \dfrac{r}{100} \right ) ^{2} -1 }[/tex]

[tex]Let \ \left ( 1 + \dfrac{r}{100} \right ) ^{2} = x, we \ get;[/tex]

[tex]\dfrac{12,066.60}{5,460} =\dfrac{\left ( 1 + \dfrac{r}{100} \right ) ^{4} - 1}{\left ( 1 + \dfrac{r}{100} \right ) ^{2} -1 } = \dfrac{x^2 - 1}{x - 1}[/tex]

∴ 12,066.60 × (x - 1) = 5,460 × (x² - 1) = 5,460 × (x - 1) ×(x + 1)

∴ 12,066.60 × (x - 1)/(x - 1) = 5,460 × (x + 1)

12,066.60/5,460 = x + 1

x =  12,066.60/5,460 - 1 = 1.21 = 121/100

x = 121/100

[tex]\left ( 1 + \dfrac{r}{100} \right ) ^{2} = x = \dfrac{121}{100}[/tex]

[tex]1 + \dfrac{r}{100} =\sqrt{ \dfrac{121}{100}} = \dfrac{11}{10}[/tex]

We get

[tex]\dfrac{12,066.60}{5,460} =\dfrac{221}{100}[/tex]

[tex]\therefore \dfrac{12,066.60}{5,460} =\dfrac{221}{100} = \left ( 1 + \dfrac{r}{100} \right ) ^{2}[/tex]

[tex]1 + \dfrac{r}{100} = \sqrt{ \dfrac{221}{100} } = \dfrac{\sqrt{221} }{10}[/tex]

[tex]\dfrac{r}{100} = \dfrac{\sqrt{221} }{10} - 1[/tex]

[tex]\dfrac{r}{100} = \dfrac{11}{10} - 1 = \dfrac{1}{10} = 0.1[/tex]

r = 100 × 0.1 = 10%

r = 10%

Therefore, we have;

[tex]5,460 = P \cdot \left ( 1 + \dfrac{r}{100} \right ) ^{2} - P = P \times \left ( 1 + 0.1\right ) ^{2} - P[/tex]

[tex]5,460 = P \times \left ( 1 + 0.1\right ) ^{2} - P = P \times \left (\left ( 1 + 0.1\right ) ^{2} - 1\right) = P \times \dfrac{21}{100}[/tex]

[tex]P = \dfrac{100}{21} \times 5,460 = 26,000[/tex]

The principal = Rs. 26,000

The compound interest in 3 years is therefore;

[tex]CI_3 = 26,000 \times \left ( 1 + \dfrac{10}{100} \right ) ^{3} - 26,000= 8606[/tex]

The difference, 'd', between the principal and the compound interest in three years, is given as follows;

d = P - CI₃

d = 26,600 - 8606 = 17994

The difference between the principal and the compound interest in three years, d = Rs 17,994.

Answer:

2 kg cashews

6 kg pecans

Step-by-step explanation:

System of Equations:

c + p = 8

8c + 7p = 8(7.25)

let c = 8-p

8(8-p) + 7p = 58

64 - 8p + 7p = 58

-p = -6

p = 6

Answer:

its 61

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The equation for B would be as; B = 3/G

We do same operations on both the sides so that equality of both expressions doesn't get disturbed. Solving equations generally means finding the values of the variables used in it for which the considered equation is true.

Sometimes we can find such value, and sometimes it is not possible at all, or sometimes, there are infinite number of solutions.

Remember that Solutions to an equation are those values of the variables involved in that equation for which the equation is true.

WE have the given equation as

BG = 3

To solve for the B, we have to eliminate the G from its side;

Then;

B = 3/G

Therefore , the equation for B would be as; B = 3/G

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Answer:

C. 14

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Step-by-step explanation:

i think i searched

Answer:

9

Step-by-step explanation:

Triangle DCE and ACD are similar (they share the angle at A, and since DE║CB, ∠D=∠C and ∠E=∠B (corresponding angles))

That means the side lengths are in ratio:

12/(8+12)=?/(6+?)

0.6(6+?)=?

3.6+0.6?=?

0.4?=3.6

?=9

Answer:

8

Step-by-step explanation:

I think it's the only reasonable one to choose that's my explanation

The Length of side AE= 18

Given :

A triangle ABE with the measure of sides .

Explanation :

Find out the measure of AE using similar triangles

From the given figure, Triangle ABE is similar to triangle CDE

When the triangles are similar then the sides are proportional

[tex]\frac{AB}{CD} =\frac{AE}{CE}[/tex]

We know that AB=15, CD=10, CE= 12

Substitute all the values and find out AE

[tex]\frac{AB}{CD} =\frac{AE}{CE}\\\frac{15}{10} =\frac{AE}{12}\\Cross \; multiply \\15(12)= AE(10)\\Divide \; both \; sides \; by \; 10\\\frac{15(12)}{10} =AE\\18=AE\\AE=18[/tex]

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Answer:248

Step-by-step explanation:

First you need to find the unit rate by dividing 93 by 3 which would be 31 then take that number (which is how many miles for one gallon) and multiply it by 8 which would get you 248( if you need this as an equation here 93\3= 31 31*8 = 248). If they gave you the distance instead you would have had to divide by 31 instead of using multiplication. Hope this helps!

Answer:

Let's use the slope-intercept form of the equation of a line describe the slope and the y-intercept:

y = mx + b where m=slope and b=y-intercept

Answer: 24x2+26x−104 or -104

Step-by-step explanation:

sen türksün be ne işin var senin burada

Answer:

12.56 in.

Step-by-step explanation:

A=Pi*R to the 2nd power

A=3.14*2 to the 2nd power

A=3.14*4

A=12.56

Let me know if im wrong

Area of the circle is 12.56 square units which has radius 2 inches.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

Given that radius of a circle is 2 inches.

We need to find the area of circle.

Radius= 2 inches.

π=3.14

We know that area of circle=πr²

Area of circle=3.142×2²

=3.142×4

=12.56 square inches.

Hence, area of the circle is 12.56 square units which has radius 2 inches.

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Answer:

20 ft

A=wl

l=A/W=240/12=20ft

Answer:

35 degrees

Step-by-step explanation:

Answer:

The answer is 1.024

Step-by-step explanation:

5.12 divided by 5 = 1.024

Hope this helps.

Answer:

480 toy boats per hour

Step-by-step explanation:

1. Divide 360 by 45 to find unit rate per MINUTE.

360 / 45 = 8

2. One hour = 60 minutes, so multiply 8 and 60.

8 * 60 = 480

Answer:

1680 inches

Step-by-step explanation:

All you have to do is to multiply the numbers together.

7 × 4 = 28 in

5 × 12 = 60 in

60 × 28 = 1680

Therefor, the answer is 1680.

Answer:

100 pounds

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\sqrt{(6-1)^{2}+(3-5)^{2} }[/tex]=[tex]\sqrt{29}[/tex]

                               =5.39(correct to nearest hundredth)

Answer: is this correct

Step-by-step explanation:

Answer:

y = 5x + 4

Step-by-step explanation:

y - 4 = 5(x - 0)

That is point-slope form. I'm not sure if you want it in slope intercept form, but slope intercept form of the equation is y = 5x + 4

Answer:

y=5x+4

Step-by-step explanation:

y=mx+b

Answer:

The probability is A 6/36

Step-by-step explanation:

Two 6 sided dice = 12  

4 and 5

finally that is closest to the number in the middle to complete the statement

Z>-3

Z<5

Z< or = 4

These 3 above have the 3 numbers in the solution set!

You just have to test each number in each inequality, and when all 3 of them work, the inequality is a part of the solution set!

Also Thanks for the 50 Points!

The inequalities are z ≤ 4 and z < 5 that have -0.5, 2.5, and 4 as part of the solution set.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

If the inequality have -0.5, 2.5, and 4 as part of the solution set.

That means, the required value has to be less than or equal to 4.

So, the inequalities are z ≤ 4 and z < 5.

Therefore, the inequalities are z ≤ 4 and z < 5.

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Answer:

144 =4

=>144=2×2×2×3×3

OK

OK i know this only

enjoy your day

the answer is: x= -111/182

Answer:

x= -0.60989010989

Step-by-step explanation:

The composite score range for the ACT is D) 1 to 36.

The composite score range for the ACT (American College Testing) is the total score achieved by an individual after taking all four sections of the ACT, which include English, math, reading, and science. The composite score ranges from 1 to 36, with 36 being the highest possible score.

The ACT score is used by colleges and universities in the United States to assess the readiness of a student to enter college. A high composite score indicates that the student has the skills and knowledge needed to succeed in college-level courses. Therefore, the correct answer is D) 1 to 36.

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