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Crank
3 years ago
12

£240 is divided between Sara , Gordon and Makachy so that sara has twice as much as gordon and Gorgon gets three times as much a

s Makachy .How much does Gorgon get?
Mathematics
1 answer:
ivanzaharov [21]3 years ago
3 0

Answer:

Gordon gets £72

Step-by-step explanation:

£240....together

Sara.....2*(3x)

Gordon.....3x

Makachy......x

2*(3x)+3x+x=240

6x+3x+x= 240

10x=240/10

x=24

Gordon 3*24= 72

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You decide to put $2,000 in a savings account to save for a $3,000 downpayment on a new car. If the account has an interest rate
DanielleElmas [232]

It takes 10.155 years until you have $3,000 ⇒ 3rd

Step-by-step explanation:

The formula for compound interest, including principal sum is:

A=P(1+\frac{r}{n})^{nt} , where

  • A is the future value of the investment/loan, including interest
  • P is the principal investment amount  
  • r is the annual interest rate (decimal)
  • n is the number of times that interest is compounded per unit t
  • t is the time the money is invested or borrowed for

∵ You decide to put $2,000 in a savings account

∴ P = 2000

∵ You want to save for $3,000

∴ A = 3000

∵ The account has an interest rate of 4% per year and is

   compounded monthly

∴ r = 4% = 4 ÷ 100 = 0.04

∴ n = 12 ⇒ compounded monthly

- Substitute all of these values in the formula above to find t

∵ 3000=2000(1+\frac{0.04}{12})^{12t}

- Divide both sides by 2000

∴ 1.5=(1+\frac{1}{300})^{12t}

∴ 1.5=(1\frac{1}{300})^{12t}

- Change the mixed number to an improper fraction

∴ (1.5)=(\frac{301}{300})^{12t}

- Insert ㏒ for both sides

∴ log(1.5)=log(\frac{301}{300})^{12t}

- Remember log(a)^{n}=nlog(a)

∴ log(1.5)=(12t)log(\frac{301}{300})

- Divide both sides by log(\frac{301}{300})

∴ 121.84 = 12 t

- Divide both sides by 12

∴ 10.155 = t

It takes 10.155 years until you have $3,000

Learn more:

You can learn more about the compound interest in brainly.com/question/4361464

#LearnwithBrainly

5 0
3 years ago
How do I do this!?! 2s+5 greater than or equal to 49
aev [14]
<span>2s+5>= 49
Subtract 5 from both sides
2s>=44
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Final Answer: s>=22</span>
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3 years ago
In this graph, the y-intercept of the line is ___.<br> The equation of the line is y=__ x __.
KonstantinChe [14]

Answer:

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Step-by-step explanation: I am not sure how to use the multiplication system below to write the equation, so sorry I couldn't help!

5 0
2 years ago
Kathleen had a bag of candy-coated chocolates. Of the 60 candies in the bag, 20% were red, 30% were orange, 30% were green, and
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60*20% are red
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3 years ago
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a truck that can carry no more than 6400 lb is being used to transport refrigerators and upright pianos. Each refrigerator weigh
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I'm not going to do the entire question, but I'll do the first part.

For the first part, you have to set up an inequality. Use context clues, such as no more than (the one used in this sentence) to figure out what the symbol should be for the inequality.
In this case, because it is NO MORE THAN 6400, it would be:

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where r represents the # refrigerators, and p represents the # pianos


Now that you have the equation, make the graph, then for the 3rd part, plug in 12 and 8 to r and p to see if it keeps the inequality true.

Hope this helps! :)
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3 years ago
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