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3 years ago

Rationalize the denominator: Please give step by step solution

Mathematics

1 answer:

MrMuchimi3 years ago

5 0

Answer:

1 + i

Step-by-step explanation:

To rationalize multiply numerator and denominator by (2 + i )

$\frac{3+i}{2-i}= \frac{3+i}{2-i} \times \frac{2+i}{2+i} = \frac{(3+i)(2+i)}{(2-i)(2+i)} = \frac{6+3i+2i-1}{4-(-1)} = \frac{5+5i}{5} = 1 + i$

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e-lub [12.9K]

Answer:

y - 7 = 16/13(x - 7)

General Formulas and Concepts:

Alg I

Point-Slope Form: y - y₁ = m(x - x₁)

x₁ - x coordinate

y₁ - y coordinate

m - slope

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Point (-6, -9)

Point (7, 7)

Step 2: Find slope m

Substitute: $m=\frac{7+9}{7+6}$
Add: $m=\frac{16}{13}$

Step 3: Write equation

y - 7 = 16/13(x - 7)

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2 years ago

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2 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

The distribution of individual incomes in the United States is strongly skewed to the right. In 2013, the mean and median income

vesna_86 [32]

Answer:

The mean would be $322,343 and the median would be $196,723.

Step-by-step explanation:

Since the distribution of individual incomes is skewed to the right, it means that the distribution has a long right tail.

Drawing a distribution with this characteristic, we can see how the majority of the data falls into the left side of the graphic, meaning that a lot of people receive less income. Following this reasoning, the mean which is the amount of the data (in this case individual income) divided by the amount of people, would be the higher number, meaning that the few people who earn more money would influence in making this number higher.

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3 years ago

Find the final amount. $4000 invested at 11% APR compounded quarterly for 5 years The final amount is $ nothing. (Do not rou

Angelina_Jolie [31]

<h3>The final amount is $ 6881.71</h3>

Solution:

The formula for compound interest, including principal sum, is:

$A = p(1 + \frac{r}{n})^{nt}$

Where,

A = the future value of the investment

P = the principal investment amount\

r = the annual interest rate in decimal

n = the number of times that interest is compounded per unit t

t = the time the money is invested

From given,

p = 4000

t = 5

$r = 11 \% = \frac{11}{100} = 0.11$

n = 4 ( compounded quarterly )

Substituting the values in formula,

$A = 4000(1 + \frac{0.11}{4})^{4 \times 5}\\\\ A = 4000( 1.0275)^{20}\\\\A = 4000 \times 1.720428\\\\A = 6881.7137 \approx 6881.71$

Thus the final amount is $ 6881.71

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3 years ago