Answer:
y =
x + 
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
To calculate the slope use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 3, 4) and (x₂, y₂ ) = (5, 7)
m =
=
, hence
y =
x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
using (5, 7 ), then
7 =
+ c ⇒ c = 7 -
= 
y =
x +
← equation in slope-intercept form
Answer:
3yrs
Step-by-step explanation:
Given parameters:
Capital = $700
Percentage interest = 4% per annum
Unknown:
Time it will take for amount to be = $784
Solution:
To find the simple interest on an amount;
I = 
P is the principal
R is the rate
T is the time
I is the interest
Insert the parameters:
I = 
I = 28T
So;
At the end of the duration:
Principal + Interest = Amount
700+28T = 784
28T = 784 - 700
28T = 84
T = 3yrs
Answer:
B
Step-by-step explanation:
A number increased by 7 means, 7 was added to the number and the result is 15
The angle is arctan(3/4) => sin(2t) = sin(2arctan(3/4)) =
2sin(arctan(3/4))cos(arctan(3/4))
Let z = arctan(3/4) => tan(z) = 3/4
2sin(arctan(3/4))cos(arctan(3/4)) = 2sin(z)cos(z) = 2(3/5)(4/5) = 24/25
<span>cos(2t) = cos^2(t) - sin^2(t) = cos^2(z) - sin^2(z) = (4/5)^2 - (3/5)^2 = (16 - 9)/25
= 7/25
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