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serg [7]
3 years ago
8

Jonah runs 3/5 miles on Sunday and 7/10 miles on Monday.He uses the model to find that he ran a total of 1 mile. What mistake do

es Jonah make
Mathematics
1 answer:
antoniya [11.8K]3 years ago
7 0

Answer: He did not convert the fractions into the like fraction to add.


Step-by-step explanation:

Given: The distance Jonah runs on Sunday= \frac{3}{5} miles

The distance Jonah runs on Monday= \frac{7}{10} miles

The total distance he ran = \frac{3}{5}+\frac{7}{10}\ miles

Since both the fractions are not like , thus multiply 2 to the numerator and the denominator of the first fraction [to add fractions first convert them into like fractions], we get

The total distance he ran = \frac{3\times2}{5\times2}+\frac{7}{10}\ miles

=\frac{6}{10}+\frac{7}{10}=\frac{6+7}{10}\\\\=\frac{13}{10}=1\frac{3}{10}\ miles

The right answer is "The total distance he ran =1\frac{3}{10}\ miles"


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Answer:

Present value =  $4,122.4

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Step-by-step explanation:

Data provided in the question:

Amount at the Start of money flow = $1,000

Increase in amount is exponentially at the rate of 5% per year

Time = 4 years

Interest rate = 3.5%  compounded continuously

Now,

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The present value of the money flow = \int\limits^4_0 {1000e^{0.05t}(e^{-0.035t})} \, dt

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= e^{0.035\times4}\times4,122.4

= $4,742

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