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anzhelika [568]
3 years ago
7

The sum of a number and its square is 42. Which equation can be used to find the two numbers for which this is true?

Mathematics
1 answer:
tankabanditka [31]3 years ago
6 0

Answer:

x² + x = 42

Step-by-step explanation:

Let the number be x then the square of this number is x²

Sum and equate to 42, that is

x² + x = 42

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In a survey, a group of students were asked to name their favorite day of the week. There were 8 students who chose “other”.
lara [203]
5 % of the students choose other. 95% choose either Saturday or Sunday. 
Let x be the number of students who participated.

(5/100) * x = 8  Multiply both sides by 100
5 * x = 8*100
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x = 800/5
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6 0
3 years ago
Write 3 different ratios that are equivalent to 7:3
Maslowich

Answer:

Ratio 1= 14:6

Ratio 2=21:9

Ratio 3=28:12

Step-by-step explanation:

7:3

7×2=14

3×2=6

=14:6

7×3=21

3×3=9

=21:9

7×4=28

3×4=12

=28:12

5 0
3 years ago
Serenity invested $2,400 in an account paying an interest rate of 3.4% compounded
Alisiya [41]

Answer:

It would take 5.9 years to the nearest tenth of a year

Step-by-step explanation:

The formula of the compound continuously interest is A = Pe^{rt} , where

  • A is the value of the account in t years
  • P is the principal initially invested
  • e is the base of a natural logarithm
  • r is the rate of interest in decimal

∵ Serenity invested $2,400 in an account

∴ P = 2400

∵ The account paying an interest rate of 3.4%, compounded continuously

∴ r = 3.4% ⇒ divide it by 100 to change it to decimal

∴ r = 3.4 ÷ 100 = 0.034

∵ The value of the account reached to $2,930

∴ A = 2930

→ Substitute these values in the formula above to find t

∵ 2930 = 2400e^{0.034t}

→ Divide both sides by 2400

∴ \frac{293}{240} = e^{0.034t}

→ Insert ㏑ in both sides

∴ ㏑(\frac{293}{240}) = ㏑(e^{0.034t})

→ Remember ㏑(e^{n}) = n

∴ ㏑(\frac{293}{240}) = 0.034t

→ Divide both sides by 0.034 to find t

∴ 5.868637814 = t

→ Round it to the nearest tenth of a year

∴ t = 5.9 years

∴ It would take 5.9 years to the nearest tenth of a year

8 0
2 years ago
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