25 because 5 (the number of sticks) times 5 (the number of houses) equals 25
Answer:
$10,667.66
Step-by-step explanation:
The formula for calculating the compound interest is expressed as:
A = P(1+r/n)^nt
P is the principal = $9000
r is the rate = 3%
time t = 6years
n = 1/4
Substitute
A = 9000(1+0.03/(1/4))^6/4
A = 9000(1+0.03(4))^1.5
A = 9000(1+0.12)^1.5
A = 9000(1.12)^1.5
A = 9000(1.1853)
A = 10,667.67
Hence the amount after 6 years is $10,667.66
Answer:
x = -1, -9.
x = 5, 9.
Step-by-step explanation:
x^2 + 10x = -9
x^2 + 10x + 9 = 0
(x + 1)(x + 9) = 0
x = -1, -9.
x^2 - 14x + 40 = -5
x^2 - 14x + 45 = 0
(x - 5)(x - 9) = 0
x = 5, 9.
<h3>
Answer: x < 1/2</h3>
This is the same as saying x < 0.5 since 1/2 = 0.5
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Work Shown:
2(1-x) > 2x
2*1 + 2*(-x) > 2x ..... distribute
2 - 2x > 2x
2 > 2x+2x .... adding 2x to both sides
2 > 4x
4x < 2 ..... flip both sides; flip the inequality sign
x < 2/4 ..... dividing both sides by 4; see note below
x < 1/2
Note: We do not flip the inequality sign here because we are dividing both sides by a positive value. The inequality sign would only flip if you divide both sides by a negative number.
