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Irina-Kira [14]
3 years ago
14

What is the difference between the largest prime number less then 50 and the smallest composite number greater then 10

Mathematics
1 answer:
alex41 [277]3 years ago
8 0

Answer:

35

Step-by-step explanation:

largest prime number less than 50 = 47

smallest composite number greater than 10= 12

.: difference = 47-12= 35

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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
Lelechka [254]

<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}

x = 32000

We can calculate amount for 7% interest rate by,

(66000-32000) =34000

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

8 0
3 years ago
How does the volume of a sphere with radius 2cm compare to the volume of a sphere with radius 1cm​
satela [25.4K]

if you take the radius of the first and second sphere you find that they are doubled there fore the volume changed at a rate of 2 squared because 2 is what the radius was multiplied by going from the second sphere to the first so you would square what the sphere was multiplied by there fore making your answer: the volume is compares with 2 squared

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3 years ago
a painter spends 3 hours working on painting.A sculptor spends 2 2/3 as long for working on a sculpture.how long does the sculpt
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I'm not very good with word problems but if I am correct it is 660 minutes so about 11 hours?
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3 years ago
How many solutions for x does the following equation have?
Zepler [3.9K]

Answer:

c. 0

Step-by-step explanation:

3(x+8) - 1 = 3x+4

3x+24-1 = 3x+4

3x+23 = 3x+4

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1 year ago
Find the solutions of the quadratic equation by finding the square root: x2 - 3 = 7.
Masja [62]

Answer:

<em>x = - √10, and x =√10</em>

Step-by-step explanation:

1. Let us add 3 to either side of the equation: x^2 - 3 + 3 = 7 + 3

2. That equation would simplify to: x^2 = 10

3. Now let us take the square root on either side: √x^2 = √10

4. Being square root of x^2, we could say that: | x | = √10

5. And thus 2 answer may be derived from this equation provided absolute value symbol ( | | ): <em>x = - √10, and x =√10</em>

3 0
3 years ago
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