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2 years ago

PLEASE HELP -7y + 11 = 75 + y

Mathematics

1 answer:

Masja [62]2 years ago

3 0

Answer:

y = -8

Step-by-step explanation:

-7y + 11 = 75 + y

Bring the "y" variable on one side, and rest on the other.

Rearranging, we get,

-7y - y = 75 - 11

-8y = 64

-y = 8

y = -8

Hope it helps :)

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Sam invests $800 at 6%/a compounded annually for 5 years. What is the total interest earned?

s2008m [1.1K]

<h3>Answer: 270.58 dollars</h3>

======================================================

Work Shown:

A = account value after t years
P = principal or amount deposited = 800
r = interest rate in decimal form = 0.06
n = number of times we compound per year = 1
t = number of years = 5

So,

A = P*(1+r/n)^(n*t)

A = 800*(1+0.06/1)^(1*5)

A = 1070.58046208

A = 1070.58

After five years, the account will have $1,070.58 in it.

The amount of interest earned is A-P = 1070.58 - 800 = 270.58 dollars.

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2 years ago

A teacher has 3 hours to grade all the papers submitted by the 35 students in her class. She gets through the first 5 papers in

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So, she has 3hrs to grade all papers, for 35 students.. alrite.

the first 5, she does them in 30minutes.. what's the speed rate? well, 5/30 or 1/6

now, she has still 2 hours and a half, or 150 minutes, to do the remaining 30 papers... she has to work at a rate of 30/150 then... which is 1/5 simplified.

now if we take 1/6 as the 100%, what is 1/5 in percentage then?

$\bf \begin{array}{ccllll}
rate&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
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\frac{1}{5}&x
\end{array}\implies \cfrac{\frac{1}{6}}{\frac{1}{5}}=\cfrac{100}{x}\implies \cfrac{1}{6}\cdot \cfrac{5}{1}=\cfrac{100}{x}\implies \cfrac{5}{6}=\cfrac{100}{x}
\\\\\\
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3 years ago

Read 2 more answers

Complete the equation for the standard form of the line that has an x-intercept of –4 and a y-intercept of 3

Kazeer [188]

Answer:

The equation for the standard form of the line will be:

3x + (-4y) = -12

Step-by-step explanation:

Given

x-intercept = –4

y-intercept = 3

The equation of a line in standard form

Ax + By = C

where A is a positive integer and B, C are integers

We know the equation of a line in slope-intercept form

y = mx+b

where m is the slope and b the y-intercept

To calculate the slope, use the gradient formula

m = y₂-y₁ / x₂-x₁

let

(x₁, y₁) = (-4, 0) ∵ x-intercept = (-4, 0)

(x₂, y₂) = (0, 3) ∵ y-intercept = (0, 3)

m = y₂-y₁ / x₂-x₁

= (3 - 0) / (0 - (-4))

= 3 / 4

Thus, the equation in slope-intercept form:

y = mx+b

y = 3/4x + 3

Writing in standard form

Multiply y = 3/4x + 3 by 4

4y = 3x + 12

3x-4y = -12

3x + (-4y) = -12

Thus, the equation for the standard form of the line will be:

3x + (-4y) = -12

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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