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Sophie [7]
3 years ago
15

3.6.PS-8 If the simple interest on $5,000 for 9 years is $2,700, then what is the interest rate? The rate is %. .​

Mathematics
1 answer:
Arada [10]3 years ago
5 0

~~~~~~ \textit{Simple Interest Earned}\\\\I = Prt\qquad\begin{cases}I=\textit{interest earned}\dotfill &\$2700\\P=\textit{original amount deposited}\dotfill & \$5000\\r=rate\to r\%\to \frac{r}{100}\dotfill &0.0r\\t=years\dotfill &9\end{cases}\\\\\\2700=(5000)(0.0r)(9)\implies 2700=45000(0.0r)\implies \cfrac{2700}{45000}=0.0r\\\\\\\cfrac{3}{50} = 0.0r\implies \cfrac{3}{50} = \cfrac{r}{100}\implies \cfrac{3\cdot 100}{50}=r\implies 6 = \stackrel{\%}{r}

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7x + 14y = 14<br> x-inter cept<br> y-intercept
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2 years ago
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Answer: 24 pints

Step-by-step explanation:

multiply the volume value by 8

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8 0
3 years ago
I need to use the Pythagorean Theorem to find X. I don’t know how to do that!!
frutty [35]

Answer:

17) x=8

18) x=\sqrt{189} or x= 3\sqrt{21}

Step-by-step explanation:

So the rule is a^{2} +b^{2} =c^{2}, "c" being the hypothenuse, or the long line that is opposite to the right angle.

17) We know that both values of x are equal to each other, which makes everything 10x easier!

                                               x^{2} +x^{2} =(8\sqrt{2})  ^{2}

(by the way we know the x values are our a and b values because they are legs! the way I like to remember the legs is that they are connected to the right angle box, and therefore support the hypothenuse)

<em>simplify</em> (╥︣﹏╥)    

                                                2x^2=8^2(\sqrt{2} )^{2}  

                                                  2x^2=64(2)

                                                   2x^2=128    

                                                  x^{2}= 128/2  

                                                     x^{2} =64

                                                        x=8      

18) Just pretend that the flipped triangle doesn't exist. It's parallel to the other triangle with values on it, and basically servers no purpose other than being parallel to the sister triangle :)

Anyways, since we know the hypothenuse (15) but we don't know one of our leg values (x), we're going to change our equation a bit!

                                                    c^{2} - b^{2} = a^{2}

It doesn't matter if you put the one leg value in a or b, just as long as you stick to that same equation you started with the entire time!

                                                   15^{2} -6^{2} =x^{2}

                                                   225-36=x^{2}  

                                                     x^{2} =189

                                               x=\sqrt{189}=3\sqrt{21}

        The more you do these, the easier they'll get, so don't worry!

                           

4 0
3 years ago
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