Answer:
I think difference between values on y-axis should be same. For eg: 100,200,300,400,500......
$1675 at 4.6% for 4 years
<span>Interst of P = $1675 at R = 4.6% for T = 4 years = P x R x T = $1675 x 4.6% x 4 = $308.20
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Hope this helps:D
Answer:
18 seats in each row
Step-by-step explanation:
25 x 22 = 550
928 - 550 = 378
378 / 21 = 18
Answer:
Part a) System of equations:
g = 5 b
b + g = 120
Part b) There were 20 boys, and 100 girls at the dance.
Step-by-step explanation:
Part a)
We start by writing a mathematical expression associated with he two given statements:
1) "Five times as many girls as boys" using "g" to represent the number of girls, and "b" for the number of boys:
g = 5 b
2) a "Total of 120 students" ...
This means that the addition of boys "b" and girls "g" should render 12:
b + g = 120
Part b)
Solve for the number of boys and girls by first replacing (substituting) "g" with "5 b" in the second equation, solving for "b":
b + 5 b = 120
6 b = 120
b = 120/6
b = 20
and now that we know the number of boys, finding the number of girls "g" using the first equation:
g = 5 (20)
g = 100
Answer:
Roots are [4, -14}.
Step-by-step explanation:
1/2 (x+5)^2 + 2 = 42.5
Work out the square of the parentheses:
1/2 ( x^2 + 10x + 25) + 2 = 42.5
Multiply the parentheses by 1/2:
1/2 x^2 + 5x + 12.5 + 2 = 42.5
Subtract 42.5 from both sides of the equation:
1 /2x^2 + 5x +14.5 - 42.5 = 0
Simplify:
1/2 x^2 + 5x - 28 = 0
Multiply through by 2 to get rid of the 1/2:
x^2 + 10x - 56 = 0
Factor:-
(x + 14)(x - 4) = 0
Either x + 14 = 0 giving x = -14.
or x - 4 = 0 giving x = 4.