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kvv77 [185]
3 years ago
10

You eat 3/10 of a pack of hot dogs. Your friend eats 1/5 of the pack of hot dogs. What fraction of the pack of hot dogs do you a

nd your friend eat? Write your answer as a fraction in simplest form
Mathematics
1 answer:
GalinKa [24]3 years ago
6 0

Answer:

  1/2

Step-by-step explanation:

Both fractions can be expressed using a denominator of 10. The sum can be reduced by removing a common factor of 5 from numerator and denominator.

  \dfrac{3}{10}+\dfrac{1}{5}=\dfrac{3}{10}+\dfrac{2}{10}\\\\=\dfrac{3+2}{10}=\dfrac{5\cdot 1}{5\cdot 2}=\dfrac{1}{2}

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$4000 is invested in a mutual fund that pays annual interest compounded quarterly for 15 years. What annual interest is needed t
Neporo4naja [7]

Answer:

The interest needed to reach that value of $6000 is 2.75%

Step-by-step explanation:

Given as :

The principal that invested in mutual fund = p = $4000

The time period = t = 15 years

The Amount after 15 years = A = $6000

Let The interest needed to reach that value = r%

Now, According to question

<u>From Compound Interest method</u>

Amount = principal × (1+\dfrac{\textrm rate}{100})^{\textrm time}

Or, A = p × (1+\dfrac{\textrm r}{100})^{\textrm t}

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or, \dfrac{6000}{4000} = (1+\dfrac{\textrm r}{100})^{\textrm 15}

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or, 1.0275 - 1 = \dfrac{r}{100}

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∴ r = 0.0275 × 100

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Hence,The interest needed to reach that value of $6000 is 2.75% Answer

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3 years ago
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