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4 years ago

Use point-slope form to find the equation of the line passing through (0,5) with a slope of 2/3

1 answer:

7 0

Answer: y - 5 = 2/3(x - 0)

Explanation:

Point slope form:

y - y1 = m(x - x1)
Given information:
y1 = 5
x1 = 0
m = 2/3

We can write the equation using the form:

y - 5 = 2/3(x - 0)

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What is the vertical component of a 100 pound force applied at 30° above the horizontal?

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3 years ago

The taxi fare in a city is as follows: For the first kilometer, the

Ksju [112]

Answer:

The linear equation is y = 6 x + 9

The graph is attached down

Step-by-step explanation:

The given information:

The cost of 1st km is 9 Rs

The cost of every kilometer after the first is 6 Rs

x represents the number of km

y represents the total cost of x km

The form of the linear equation is

y = m x + b, where

m is the slope of the line (rate of change)
b is the y-intercept (initial value)

From the given information above

m = 6 Rs/km

b = 9 Rs

Substitute them in the form of the equation

y = 6 x + 9

The graph:

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3 years ago

A person borrows $50000 loan from bank at a rate of 10% for 5 years compounded yearly.

Hatshy [7]

<h3>Given:</h3>

P= $50,000
R= 10%
T= 5 years

P= Principal amount
R= Rate of interest
T= Time period

<h3>Solution:</h3>

$\large\boxed{Formula: A= P(1+ \frac{R}{100}{)}^{T}}$

Let's substitute according to the formula.

$A= 50000(1+ \frac{10}{100}{)}^{5}$

A= $80525.5

Now, we can find the interest paid

$\large\boxed{I= A-P}$

We'll have to deduct the total amount from the principal amount.

Let's substitute according to the formula.

$I= 80525.5-50000$

I= $30525.5

Hence, the total amount paid after 5 years is $80525.5 and $30525.5 was paid as interest.

7 0

2 years ago