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2 years ago

Please help me out with this question for a quiz.

Mathematics

1 answer:

Alex_Xolod [135]2 years ago

7 0

Answer: √9/4, 5/3, √5, 2.5

Step-by-step explanation:

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How much should you put in an investment paying a simple interest rate of 5% if you needed $4000 in eighteen mont

Eddi Din [679]

now, there are 12 months in a year, so 18 months is really 18/12 of a year, thus

$~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$4000\\ P=\textit{original amount deposited}\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ t=years\to \frac{18}{12}\dotfill &\frac{3}{2} \end{cases} \\\\\\ 4000=P[1+(0.05)(\frac{3}{2})]\implies 4000=P(1.075) \\\\\\ \cfrac{4000}{1.075}=P\implies 3720.93\approx P$

6 0

1 year ago

Express the quotient of z1 and z2 in standard form given that <img src="https://tex.z-dn.net/?f=z_%7B1%7D%20%3D%20-3%5Bcos%28%5C

Lesechka [4]

Answer:

Solution : $-\frac{3}{4}-\frac{3}{4}i$

Step-by-step explanation:

$-3\left[\cos \left(\frac{-\pi }{4}\right)+i\sin \left(\frac{-\pi \:}{4}\right)\right]\:\div \:2\sqrt{2}\left[\cos \left(\frac{-\pi \:\:}{2}\right)+i\sin \left(\frac{-\pi \:\:\:}{2}\right)\right]$

Let's apply trivial identities here. We know that cos(-π / 4) = √2 / 2, sin(-π / 4) = - √2 / 2, cos(-π / 2) = 0, sin(-π / 2) = - 1. Let's substitute those values,

$\frac{-3\left(\frac{\sqrt{2}}{2}-\frac{\sqrt{2}}{2}i\right)}{2\sqrt{2}\left(0-1\right)i}$

= $-3\left(\frac{\sqrt{2}}{2}-\frac{\sqrt{2}}{2}i\right)$ ÷ $2\sqrt{2}\left(0-1\right)i$

= $3\left(-\frac{\sqrt{2}i}{2}+\frac{\sqrt{2}}{2}\right)$ ÷ $-2\sqrt{2}i$

= $\frac{3\left(1-i\right)}{\sqrt{2}}$ ÷ $2\sqrt{2}i$ = $-3-3i$ ÷ $4$ = $-\frac{3}{4}-\frac{3}{4}i$

As you can see your solution is the last option.

3 0

2 years ago

What is the average rate of change for 5/6 and 15/14

andreev551 [17]

Answer:

Average rate of change is <u>0.80.</u>

Step-by-step explanation:

Given:

The two points given are (5, 6) and (15, 14).

Average rate of change is the ratio of the overall change in 'y' and overall change in 'x'. If the overall change in 'y' is positive with 'x', then average rate of change is also positive and vice-versa.

The average rate of change for two points $(x_1,y_1)\ and\ (x_2,y_2)$ is given as:

$R=\frac{y_2-y_1}{x_2-x_1}$

Plug in $x_1=5,x_2=15,y_1=6,y_2=14$ and solve for 'R'. This gives,

$R= \frac{14-6}{15-5}\\\\R=\frac{8}{10}\\\\R=0.80$

Therefore, the average rate of change for the points (5, 6) and (15, 14) is 0.80.

5 0

3 years ago

Arthur makes $216 each week writing a column for a newspaper. He recently wrote his first book and earns $7 for each copy sold.

yuradex [85]

216+7c=517; 43 copies .... of he made 216 a week from the newspaper and and made 7 dollars per copy sold of his book it should be 216+7c=517 then you subtract 216 from both sides of the equation so 7c=301 then divide 301 by 7 = 43

6 0

2 years ago

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Subtract decimals: 35.426 - 28.519 =

Ber [7]

Answer:

6.907

Step-by-step explanation:

7 0

3 years ago

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