What is bigger 3/4 or 3/8

Mathematics

2 answers:

Naya [18.7K]3 years ago

5 0

3/4 is bigger. 3 divided by 4 is 0.75. 3 divided by 8 is 0.375

iren [92.7K]3 years ago

3 0

3/4 is bigger than 3/8. It might seem confusing, but the bigger the denominator, or the number on the bottom, the smaller the fraction. For instance, if you had 4 apples and you ate 1, you could still say that you had most of your apples, since you still have 3/4. However, if you have 8 apples, and you ate 5, then you couldn't say that you have most of them, since you only have 3 of the 8 you started with.

Hope this helps!

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Paul has $40000 to invest. His intent is to earn 9% interest on his investment. He can invest part of his money at 6% and part a

Black_prince [1.1K]

Paul needs to invest $10000 at 6% interest and $30000 at 10% interest to make a total of 9% return on his $40000.

Explanation

Suppose, the amount of money at 6% interest is $x$

As Paul has total $40000 to invest, so the amount of money at 10% interest will be: $(40000-x) dollar$

His intent is to earn 9% interest on his $40000 investment. So, the equation will be......

$0.06x+0.10(40000-x)=0.09*40000\\ \\ 0.06x+4000-0.10x=3600\\ \\ -0.04x=3600-4000=-400\\ \\ x=\frac{-400}{-0.04}=10000$

So, Paul needs to invest $10000 at 6% interest and ($40000- $10000) or $30000 at 10% interest to make a total of 9% return on his $40000.

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Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the

insens350 [35]

Answer:

So, the volume V is

$V=\frac{14\pi}{3}$

Step-by-step explanation:

We have that:

$y=7x\\\\y=0\\\\x=1\\\\x=-4\\$

We have the formula:

$V=2\pi\int_a^b x(g(x)-f(x))\, dx\\\\g(x)>f(x).$

We calculate the volume V, we get

$V=2\pi\int_a^b x(g(x)-f(x))\, dx\\\\V=2\pi\int_0^1 x(7x-0)\, dx\\\\V=2\pi\int_0^1 7x^2\, dx\\\\V=2\pi\cdot 7\left[\frac{x^3}{3}\right]_0^1\\\\V=14\pi\left(\frac{1}{3}-\frac{0}{3}\right)\\\\V=\frac{14\pi}{3}$