What is the ordered pair point of H?

Mathematics

1 answer:

vekshin13 years ago

4 0

C because the x-axis is 5 and the y-axis is 0

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You decide to put $5000 in a savings account to save $6000 down payment on a new car. If the account has an interest rate of 7%

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$\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill&\$6000\\ P=\textit{original amount deposited}\dotfill &\$5000\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years \end{cases}$

$\bf 6000=5000\left(1+\frac{0.07}{12}\right)^{12\cdot t}\implies \cfrac{6000}{5000}\approx (1.0058)^{12t}\implies \cfrac{6}{5}\approx(1.0058)^{12t} \\\\\\ \log\left( \cfrac{6}{5} \right)\approx \log[(1.0058)^{12t}]\implies \log\left( \cfrac{6}{5} \right)\approx 12t\log(1.0058) \\\\\\ \cfrac{\log\left( \frac{6}{5} \right)}{12\log(1.0058)}\approx t\implies 2.63\approx t\impliedby \textit{about 2 years, 7 months and 16 days}$

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4 years ago

Which of the lines whose equations are given below is perpendicular to 3x - 12y = 10?

Dmitriy789 [7]

Answer:

1. 8x + 2y = 16

Step-by-step explanation:

3x - 12y = 10

12y = 3x - 10

y = 1/4 x - 5/6 .... slope: 1/4

perpendicular line slope: -4

8x + 2y= 16

2y = -8x + 16

y = -4x + 8 .... slope: -4

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Step-by-step explanation:

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