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Elza [17]
3 years ago
9

PLZZZZ HELP What is the slope of a line that is perpendicular to a line whose equation is 3y=−4x+2 ?

Mathematics
1 answer:
earnstyle [38]3 years ago
6 0

\bf 3y=-4x+2\implies y=\cfrac{-4x+2}{3} \\\\\\ y=\stackrel{\stackrel{slope}{\downarrow }}{-\cfrac{4}{3}}x+\cfrac{2}{3}\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}


so the slope of that line above is really -4/3, now


\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-\cfrac{4}{3}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{3}{4}}\qquad \stackrel{negative~reciprocal}{+\cfrac{3}{4}\implies \blacktriangleright \cfrac{3}{4} \blacktriangleleft}}

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4 0
3 years ago
Here's the result of this question
Dafna11 [192]

We have been given that Anil borrows $80 000 to buy a business.  The bank gives him a loan, with an interest rate of 2% each year. We are asked to find the total amount paid back by Anil to bank after 10 years.

We will use simple interest formula to solve our given problem.

A=P(1+rt), where,

A = Final amount,

P = Principal amount,

r = Annual interest rate in decimal form,

t = Time in years.

Let us convert 2% into decimal.

2\%=\frac{2}{100}=0.02

We have P=\$80,000 and t=10, so we will get:

A=\$80000\left(1+0.02\cdot 10\right)

A=\$80000(1+0.2)

A=\$80000(1.2)

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Therefore, Anil will pay \$96,000 to the bank after 10 years.

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Step-by-step explanation:

6 0
3 years ago
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What is the sum of all integers from -2016 to 2016?​
ololo11 [35]

Answer:

4032 integers.

Step-by-step explanation:

Lest start with -2016. There are 2016 integers from -2016 to 0. Then we see how many integers are from 0 to 2016. there are 2016. If you add them up, you get 4032.

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sladkih [1.3K]

Answer:

The final ballance will be $1300.37.

Step-by-step explanation:

In this case we have a compounded interest, in order to calculate the final balance we need to use the following formula:

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

Where S is the final balance, P is the initial investment, r is the rate of interest, t is the time and n is the rate at which it is compounded. Since we have all the values we can directly apply to the formula as follows:

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4 0
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