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r-ruslan [8.4K]
3 years ago
14

Compare the fractions. 4/7 1/6. a. > b. = c.

Mathematics
2 answers:
mixas84 [53]3 years ago
6 0

Answer:

a.

Step-by-step explanation:

Let's do it substracting:

\frac{4}{7} - \frac{1}{6} = \frac{24-7}{42} = \frac{17}{42} > 0

Then,

\frac{4}{7} - \frac{1}{6} > 0

\frac{4}{7} > \frac{1}{6}.

BabaBlast [244]3 years ago
4 0
To start with, write both fractions with same denominator, i.e LCM of 6 and 7
Thus,
4/7=24/42

1/6=7/42
This means 4/7 is greater than 1/6
The answer is thus a
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Step-by-step explanation:

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6 0
3 years ago
A crew has paved 3/4 of a mile of road. If they have completed 50% of the work, how long is the road they are paving?
mel-nik [20]

Answer:

1.5

Step-by-step explanation:

Let the value be x,

(3/4) = 50% * x

x = 1.5

Thenks and mark me brainliest :))

3 0
2 years ago
what is the probability of drawing a silver marble from a bag that contains 4 blue marbles, 7 silver marbles, and 5 green marble
umka21 [38]

Answer:

7 out of 16

Step-by-step explanation:

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3 0
3 years ago
The function in Exercise represents the rate of flow of money in dollars per year. Assume a 10-year period at 8% compounded cont
anzhelika [568]

Answer:

a) The present value is 688.64 $

b) The accumulated amount is 1532.60 $

Step-by-step explanation:

<u>a)</u><u> The preset value equation is given by this formula:</u>

P=\int^{T}_{0}f(t)e^{-rt}dt

where:

  • T is the period in years (T = 10 years)
  • r is the annual interest rate (r=0.08)

So we have:

P=\int^{T}_{0}(0.01t+100)e^{-rt}dt

Now we just need to solve this integral.

P=\int^{T}_{0}0.01te^{-rt}dt+\int^{T}_{0}100e^{-rt}dt

P=e^{-0.08t}(-1.56-0.13t)|^{10}_{0}+1250e^{-0.08t}|^{10}_{0}

P=0.30+688.34=688.64 $

The present value is 688.64 $

<u>b)</u><u> The accumulated amount of money flow formula is:</u>

A=e^{r\tau}\int^{T}_{0}f(t)e^{-rt}dt

We have the same equation but whit a term that depends of τ, in our case it is 10.

So we have:

A=e^{r\tau}\int^{T}_{0}(0.01t+100)e^{-rt}dt=e^{0.08\cdot 10}P

A=e^{0.08\cdot 10}688.64=1532.60 $

The accumulated amount is 1532.60 $

Have a nice day!

6 0
3 years ago
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