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den301095 [7]
3 years ago
10

2a. Principal: $300, rate: 3%, time: 4 years. What is the interest earned and the new balance? *

Mathematics
1 answer:
Marina CMI [18]3 years ago
6 0
$327 would be the new balance. and The interest earned would be $27
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The square of a number decreased by 3 times the number 28 find all possible values for the number
stealth61 [152]

Question:

The square of a number decreased by 3 times the number is 28 find all possible values for the number  

Answer:

The possible values of number are 7 and -4

Solution:

Given that the square of a number decreased by 3 times the number is 28

To find: all possible values of number

Let "a" be the unknown number

From given information,

square of a number decreased by 3 times the number = 28

a^2 - 3a = 28

a^2 - 3a - 28 = 0

Let us solve the above quadratic equation

\text {For a quadratic equation } a x^{2}+b x+c=0, \text { where } a \neq 0

x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

Using the above formula,

\text { For } a^{2}-3 a-28=0 \text { we have } a=1, b=-3, c=-28

\begin{aligned}&a=\frac{-(-3) \pm \sqrt{(-3)^{2}-4(1)(-28)}}{2 \times 1}\\\\&a=\frac{3 \pm \sqrt{9+112}}{2}\\\\&a=\frac{3 \pm \sqrt{121}}{2}=\frac{3 \pm 11}{2}\\\\&a=\frac{3+11}{2} \text { or } a=\frac{3-11}{2}\\\\&a=7 \text { or } a=-4\end{aligned}

Thus the possible values of number are 7 and -4

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Given That ABCD is a rhombus, what is the value of x?
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Hope this helps!

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Step-by-step explanation:

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Snowcat [4.5K]

Answer:

So the statement:

"The product of two irrational numbers is rational." is false.

Step-by-step explanation:

The product of two irrationals can be irrational or rational.

Example:

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\sqrt{2} is irrational but when you multiply it to itself the output is rational.

Example:

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\sqrt{2} \text{ and } \sqrt{3} are irrational and when you multiply them you get an irrational answer of \sqrt{6}.

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