Find the unit rate with the second given unit in the denominator 4600 words in 60 min

Mathematics

1 answer:

Rzqust [24]3 years ago

3 0

4600 words
---------------- = 76 2/3 words/minute, or 76.67 w/m
60 min

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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.

3 0

3 years ago

Read 2 more answers

The areas of the squares adjacent to two sides of a right triangle are shown below.

UkoKoshka [18]

Answer:

$85\:\mathrm{units^2}$

Step-by-step explanation:

All side lengths of a square are equal. The three squares create a right triangle, and the hypotenuse of this triangle represents the side length of the square.

All right triangles must follow the Pythagorean Theorem $a^2+b^2=c^2$ where $c$ is the hypotenuse of the triangle.

Therefore, let $h$ be the side length of this largest square. Since the area of a square with side length $s$ is given by $s^2$ , $h^2$ will represent the area of the square: