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Sedaia [141]
3 years ago
13

For one History test, Keith had to answer 40 questions. Of these 40 questions, Keith answered 28 of them correctly. What percent

did Keith get on his History test? Round your answer to the nearest tenth if necessary
Mathematics
1 answer:
muminat3 years ago
5 0

Answer:

Keith scored 70% on the History test.

Step-by-step explanation:

We have been given that for History test, Keith had to answer 40 questions. Of these 40 questions, Keith answered 28 of them correctly.

To find the percentage Keith got on History test, we will have to figure out 28 is what percent of 40.

\text{Percentage scored by Keith on History test}=\frac{28}{40}\times 100

\text{Percentage scored by Keith on History test}=0.7\times 100

\text{Percentage scored by Keith on History test}=70

Therefore, Keith scored 70% on the History test.

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<h2>x = -17</h2>

Step-by-step explanation:

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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

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