3,9,6,9,27,24,27,81,78,81,243,?find out last figure to complete series

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Answer 1

Answer: the next number is 240

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Solve the following inequality: 5x + 3 < 6x + 2

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What is the simplified form of the quantity of x plus 5, all over the quantity of 3x plus 4 + the quantity of x plus 4, all over the quantity of x plus 3?

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Answer: $(4x^2+24x+31)/(3x^2+13x+12)$

Step-by-step explanation:

Since the given expression ,

$(x+5)/(3x+4) + (x+4)/(x+3)$

= $((x+5)(x+3)+(x+4)(3x+4))/((3x+4)(x+3))$ ( by taking the LCM for solving the fraction)

= $(x^2+5x+3x+15+3x^2+12x+4x+16)/(3x^2+9x+4x+12)$ ( By multiplying)

= $(x^2+8x+15+3x^2+16x+16)/(3x^2+13x+12)$

= $(4x^2+24x+31)/(3x^2+13x+12)$ ( by adding the like terms)

$(x + 5)/(3x + 4) + (x + 4)/(x + 3) = ((x + 5)(x + 3))/((3x + 4)(x + 3)) + ((x + 4)(3x + 4))/((3x + 4)(x + 3)) = (x(x + 3) + 5(x + 3))/((3x(x + 3) + 4(x + 3)) + (x(3x + 4) + 4(3x + 4))/(3x(x + 3) + 4(x + 3)) = (x(x) + x(3) + 5(x) + 5(3))/(3x(x) + 3x(3) + 4(x) + 4(3)) + (x(3x) + x(4) + 4(3x) + 4(4))/(3x(x) + 3x(3) + 4(x) + 4(3)) = (x^(2) + 3x + 5x + 15)/(3x^(2) + 9x + 4x + 12) + (3x^(2) + 4x + 12x + 16)/(3x^(2) + 9x + 4x + 12) = (x^(2) + 8x + 15)/(3x^(2) + 13x + 12) + (3x^(2) + 16x + 16)/(3x^(2) + 13x + 12) = ((x^(2) + 8x + 15) + (3x^(2) + 16x + 16))/(3x^(2) + 13x + 12) = ((x^(2) + 3x^(2)) + (8x + 16x) + (15 + 16))/(3x^(2) + 13x + 12) = (4x^(2) + 24x + 31)/(3x^(2) + 13x + 12)$

What effect does inflation have on interest rates, and why? a. Inflation decreases interest rates, because it causes the principal amount to rise. b. Inflation decreases interest rates, because borrowers in an inflationary economy cannot afford higher interest rates. c. Inflation increases interest rates, because the money being lent out is more valuable after inflation. d. Inflation increases interest rates, because lenders must charge more to gain a benefit on devalued money.

Answers

The correct option is Inflation increases interest rates, because lenders must charge more to gain a benefit on devalued money.

What is inflation?

Inflation is the rate of increase in prices over a given period of time. Inflation is typically a broad measure, such as the overall increase in prices or the increase in the cost of living in a country.

Inflation will affect interest rate levels.

The higher the inflation rate, the more interest rates are likely to rise. This occurs because lenders will demand higher interest rates as compensation for the decrease in purchasing power of the money they are paid in the future.

For more references on inflation, click;

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d. Inflation increases interest rates, because lenders must charge more to gain a benefit on devalued money.

Is 1/sec^2(θ) the same as cos^2(θ)

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$(1)/(sec^2\theta)=cos^2\theta\n\nL=(1)/(\left((1)/(cos\theta)\right)^2)=(1)/((1)/(cos^2\theta))=1:(1)/(cos^2\theta)=1\cdot(cos^2\theta)/(1)=cos^2\theta=R$

The temperature in your town is 31 degrees Fahrenheit. The radio announcer says that the temperature will drop 15 degrees.What will the temperature be?

Answers

Hi,

New temperature will be 31 F - 15 F = 16 F.

Green eyes.

31 deg - 15 deg = 16 deg

a cell phone company charges $60.00 a month for up to 1 gigabyte of data. the cost of additional data is $0.05 per megabyte. if d represents the number of additional megabytes used and c represents the total charges at the end of the month which linear equation can be used to determine a users monthly bill?

Answers

C= $60.00+$0.05d is the linear equation, if you have any questions feel free to ask. (:

Answer: The answer is C. c = 60d - 0.05

Step-by-step explanation:

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