Answer:
132:110.4
Step-by-step explanation:
Answer:
See below
Bold parts are important parts. They are the equations.
Marina had RM24,500 to invest.
If the amount of money in the 4% account was four times the amount of money in the 5.5% account.
" At the end of the year, she had made RM1,300 in interest. The annual yield on each of the three accounts was 4%, 5.5%, and 6%."
"If the amount of money in the 4% account was four times the amount of money in the 5.5% account,"
a = 4b
Down is the equations.
let a = amt in the 4% acct
let b = amt in the 5.5% acct
let c = amt in the 6%
"Marina had RM 24,500 to invest."
a + b + c = 24500
Replace a with 4b in both equations, simplify
b = $2000 in the 5.5% investment
a = $8000 in the 4% acct
<em><u>Hope this helps.</u></em>
Answer:
x = 26 2/3
y = 50
Step-by-step explanation:
you could set '2y-3x' equal to '-3x+y+50' because they are vertical angles
2y - 3x = -3x + y + 50
add 3x to each side to get:
2y = y + 50
y = 50
also, we know that (1/2y + 25) + (2y - 3x) = 180 because they form a straight line
3/2y + 25 - 3x = 180
subtract 25 from each side to get:
3/2y - 3x = 155
substitute 50 for 'y' to get:
3/2(50) - 3x = 155
75 - 3x = 155
-3x = 80
x = 26 2/3
Answer:
Step-by-step explanation:
x² + 2x - 3 + y² = 5
Strategy:
Convert the equation to the centre-radius form:
(x - h)² + (y - k)² = r²
The centre of the circle is at (h, k) and the radius is r
.
Solution:
Move the number to the right-hand side.
x² + 2x + y² = 8
Complete the square for x
(Take half the coefficient of x, square it, and add to each side of the equation)
(x² + 2x + 1) + y² = 9
Complete the square for y
The coefficient of y is zero.
(x² + 2x + 1) + y² = 9
Express the result as the sum of squares
(x + 1)² + y² = 3²
h = -1; k = 0; r = 3
The centre of the circle is at 
The graph of the circle below has its centre at (-1,0) and radius 3.
Answer:
180 cm^2
Step-by-step explanation:
For similar figures the ratio of areas is the square of the ratio of linear dimensions.
We take "tripled in size" to mean that the linear dimensions of the larger rectangle are 3 times those of the smaller rectangle. That means the area of the larger rectangle will be 3² = 9 times the area of the smaller one.
Area = (3²)(20 cm²) = 180 cm² . . . . area after tripled in size
