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Alexxx [7]
1 year ago
13

4. Write the equation of the line in SLOPE-INTERCEPT FORM that passes through the given points(4,2) and (0,6)

Mathematics
1 answer:
Gala2k [10]1 year ago
8 0

The slope intercept form equation is expressed as

y = mx + c

where

m represents slope

c represents y intercept

The formula for determining slope is expressed as

slope, m = (y2 - y1)/(x2 - x1)

From the information given,

y2 = 6, y1 = 2

x2 = 0, x1 = 4

Slope, m = (6 - 2)/(0 - 4) = 4/- 4

m = - 1

We would determine the y intercept, c by substituting m = - 1, y = 6 and x = 0 into the slope intercept equation. It becomes

6 = - 1 * 0 + c

6 = c

c = 6

The equation would be

y = - x + 6

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1.Find the compound interest on Rs25000 for 3 years at 10% per annum ,Compounded annually.
LekaFEV [45]

Answer:

The compound interest is Rs8275

Step-by-step explanation:

The rule of the compound interest is A = P(1+\frac{r}{n})^{nr}, where

  • A is the new amount
  • P is the initial amount
  • r is the interest rate in decimal
  • n is the number of periods
  • t is the time

The interest I = A - P

∵ The amount of investment is Rs25000 for 3 years

∴ P = 25000

∴ t = 3

∵ The rate of interest is 10% per annum, compounded annually

∴ r = 10% = 10 ÷ 100 = 0.1

∴ n = 1 ⇒ compounded annually

→ Substitute these value in the 1st rule above to find the new amount

∵ A = 25000(1+\frac{0.1}{1})^{1(3)}

∴ A = 25000(1.1)^{3}

∴ A = Rs33275

→ Use the 2nd rule above to find the interest

∵ I = 33275 - 25000

∴ I = 8275

∴ The compound interest is Rs8275

6 0
3 years ago
Can anyone help solve this? ​
gtnhenbr [62]
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Definition of Variable and Constant with examples!<br>Spam free answers required!​
ra1l [238]

Answer:

\large\boxed{\boxed{\boxed{\mathfrak{variable}}}}

Variable is a symbol that represents a quantity in a mathematical expression, as used in many sciences. Variable (research), a logical set of attributes. Variable star, a type of astronomical star.

\large\boxed{\boxed{\boxed{\mathfrak{constant}}}}

A constant, sometimes also called a "mathematical constant," is any well-defined real number which is significantly interesting in some way. A function, equation, etc., is said to "be constant" (or be a constant function) if it always assumes the same value independent of how its parameters are varied.

6 0
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Assume the upper arm length of males over 20 years old in the United States is approximately Normal with mean 39.2 centimeters (
MAVERICK [17]

Answer:

The interval [32.6 cm, 45.8 cm]

Step-by-step explanation:

According with the <em>68–95–99.7 rule for the Normal distribution:</em>  If \large \bar x  is the mean of the distribution and s the standard deviation, around 68% of the data must fall in the interval

\large [\bar x - s, \bar x +s]

around 95% of the data must fall in the interval

\large [\bar x -2s, \bar x +2s] 

around 99.7% of the data must fall in the interval

\large [\bar x -3s, \bar x +3s]

So, the range of lengths that covers almost all the data (99.7%) is the interval

[39.2 - 3*2.2, 39.2 + 3*2.2] = [32.6, 45.8]

<em>This means that if we measure the upper arm length of a male over 20 years old in the United States, the probability that the length is between 32.6 cm and 45.8 cm is 99.7%</em>

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3 years ago
Write a division problem whose quotient has its first digit in the hundreds place.
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--  500  divided by  5

--  17,684  divided by  58.4

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