The local newspaper has letters to the editor from 40 people. If this number represents 4% of all of

Mathematics

1 answer:

Setler79 [48]3 years ago

4 0

Answer:

1000 readers

Step-by-step explanation:

40 people represent 4% of the total number of readers.

4% is 1/25 of 100%, therefore:

4% x 25 = 100%

So, if we multiply the number of people that represent 4% by 25, we will get the total number (100%).

40 x 25 = 1,000

The newspaper has 1000 total readers.

Alternatively, you could also divide 4% (40) by 4 which would give you 1%=10. Multiply this by 100 to get 100% which gives us: 100% = 1000.

Hope this helped!

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phyllis invested 66000 dollars, a portion earning simple interest rate of 5% per year and the rest earning a rate of 7% per year

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<u>Answer: </u>

Physliis invested 32000 dollar at 5% interest rate and 34000 dollar at 7% interest rate.

<u>Solution:</u>

Let Phyllis invest ‘x’ dollar at 5% per year and (66000-x) dollar at 7% per year.

We know,

$\text { Simple interest }=\frac{\text {Principal} \times r a t e \times T i m e}{100}$

In the question it is given that Simple interest earned from both the investments at the end of the year is $3980.

Using the given below equation, we will try to find out the investments at each rate.

$\begin{array}{l}{\frac{x \times 5 \times 1}{100}+\frac{(66000-x) \times 7 \times 1}{100}=3980} \\\\ {\frac{5 x}{100}+\frac{462000-7 x}{100}=3980} \\\\ {\frac{5 x+462000-7 x}{100}=3980} \\\\ {-2 \mathrm{x}+462000=3980 \times 100} \\\\ {-2 \mathrm{x}=398000-462000} \\\\ {-2 \mathrm{x}=-64000} \\\\ {\mathrm{x}=\frac{-64000}{-2}}\end{array}$