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MrMuchimi
3 years ago
13

George desposited 2000 in his bank, which offers 5% compoud interest annually. What would be the principla amount available in g

eorges account at the and of two years
Mathematics
1 answer:
Tamiku [17]3 years ago
4 0
George would have 2200
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Please could you explain this step by step I’m really stuck.
allochka39001 [22]

Answer:

x = -2.5
x = 2

Step-by-step explanation:

Hello!

We can remove the denominators by multiplying everything by it.

Solve:

  • \frac{5}{x + 3} + \frac4{x + 2} = 2
  • 5 + \frac{4(x + 3)}{x + 2} = 2(x + 3)
  • 5 + \frac{4x + 12}{x + 2} = 2x + 6
  • 5(x + 2) +4x + 12 = (2x + 6)(x + 2)
  • 5x + 10 + 4x + 12 = 2x^2 + 6x + 4x + 12
  • 9x + 22 = 2x^2 + 10x + 12

Let's make one side equal to 0.

  • 0 = 2x^2 + x - 10

Solve by factoring, and then the zero product property.

  • 0 = 2x^2 + x - 10\\

Multiply 2 and -10. You get -20. Think of two number that multiply to -20, and add to 1. If we think about the standard form of a quadratic, ax^2 + bx + c, think two numbers that equal "ac" and add up to "b".

  • 0 = 2x^2 - 4x + 5x - 10
  • 0 = 2x(x - 2) + 5(x - 2)
  • 0 = (2x + 5)(x - 2)

Using the zero product property, set each factor to 0 and solve for x.

  1. 2x + 5 = 0
    2x = -5
    x = -5/2 = -2.5
  2. x - 2 = 0
    x = 2

The two answers are x = -2.5, and x = 2.

3 0
2 years ago
Read 2 more answers
There is a fraction that to 9/10. The numerator and the denominator is 57. What is the fraction?
xxTIMURxx [149]
The fraction is 27/30. It is equivalent to 9/10 and 27 + 30 = 57.
8 0
3 years ago
Express as a ratio in whole numbers 1/2 : 1/4 : 1/12
Gelneren [198K]

Answer:

6 : 3 : 1

Step-by-step explanation:

Given

\frac{1}{2} : \frac{1}{4} : \frac{1}{12} ( multiply each part by 12 , the LCM of 2, 3, 12 to clear the fractions )

= 6 : 3 : 1

7 0
3 years ago
How to solve systems by elomination
Alex73 [517]

Answer:

try to get rid of one of the variables by multiplying both equations by a numbers to make the variables equal. For example if you want to get rid of the x variable and in the equation it says 3x and 2x, you would multiply the entire equation by 2 and 3 to make them both 6x and because you have to increase the entire equation by the same number to make it equal. Then you would subtract them. This would elimnate a variable. solve the remaining equation. Then continue solving the equation from there by plugging in the variable that you just got. Mark me brainliest.

Step-by-step explanation:

5 0
3 years ago
The grouped frequency table below represents the lengths of the fingers of some
Aliun [14]

Answer:

10.3

Step-by-step explanation:

When calculating the mean from a grouped frequency table, first you must estimate what the value is through finding the number halfway between the value that x is greater than and less than:

The number halfway between 8 and 9 is 8.5

The number halfway between 9 and 10 is 9.5

The number halfway between 10 and 11 is 10.5

The number halfway between 11 and 12 is 11.5

Next, you have to multiply the estimated value by its frequency:

8.5 x 3 = 25.5

9.5 x 11 = 104.5

10.5 x 17 = 178.5

11.5 x 9 = 103.5

Then, add up the values you calculated and divide them by the total frequency (all the frequencies added up).

total estimated length: 25.5 + 104.5 + 178.5 + 103.5 = 412

total frequency: 3 + 11 + 17 + 9 = 40

412/40 = 10.3

3 0
3 years ago
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