Answer:
7.80%
Step-by-step explanation:
Given data
Amount borrowed=$3,209
Payback amount= $4,210.21
Simple interest= 4,210.21-3,209= 1001.21
time= 4 years
We know that
SI= PRT/100
1001.21= 3,209*R*4/100
cross multiply
1001.21*100= 12836R
100121/ 12836= R
R=7.80
Hence the rate is 7.80%
Answer:
there are no solutions as the two straight lines represented by the two equations are parallel, so they have no point in common
Step-by-step explanation:
general equation of a straight line: ax + by + c = 0
the slope (or raise) of a straight line m is equal to -a/b (b=1 a=-2 in this exercise as the equation is 1y=-2x - 4)
so m1 = -2/1 = -1/2
and m2 = -2/1 = -1/2
there is also a geometrical explanation, but I am not sure if it could be too complex
So in order to find
(x+2)2
without writing (x+2)(x+2)=x2+2x+2x+4=x2+4x+4 instead say y=2 and use the identity to get
x2+2×2x+2^2=x2+4x+4
Answer:
(x+2)(2x+2) = 130
x=6.58m
Step-by-step explanation:
The shape of the whole figure is a triangle. Hence the area of the whole figure is expressed as:
Area = Length * Width
Given
Length = 2 + x + x = 2+2x
Width = 2 + x
Area = 130m²
Substitute the resultng values into the formula;
(2+2x)(2+x)= 130
(x+2)(2x+2) = 130
Expand the bracket:
Divide through by 2
Complete the square by adding the square of the half of the coefficient of x to both sides:
Take the square root of both sides
Hence the value of x is 6.58m
Answer:
Step-by-step explanation:
To answer this question you first need to know what the inequality symbols mean!
≤ Less than or equal to
≥ Greater than or equal to
So if Ariel has $35 this mean the following:
$1.45 is the flat fee or y-intercept
$0.55 is the slope
This mean the following:
$1.45 + $ 0.55x ≤ $35
$0.55x ≤ $33.55
x≤61