6 would be $240.
Take 6,000 and multiply it by 4% which means you need to convert 4% to a decimal.
4% as a decimal is 0.04. 6,000 x 0.04 equals 240.
hope this is correct and sorry but I do not understand how to do 7.
Answer:
A ≈ 1900.7 m²
Step-by-step explanation:
The area (A) of the race track is
area of outer circle - area of inner circle
= πR² - πr²
= π × 63² - π × 58²
= π (63² - 58² )
= π(3969 - 3364)
= π × 605
≈ 1900.7 m² ( to 1 dec. place )
The answer would be 70 6•8=48 2.75•8=22 and 48+22=70
Answer:
b = -5
Step-by-step explanation:
So we know
3<em>a</em> = -9
Divide 3 on both sides
<em>a</em> = -3
Plug <em>a</em> in to the other equation
-3b = 15
divide -3 on both sides
b = -5
Answer:
k = 8
Step-by-step explanation:
Since the roots of the equation 3x² + 2x + k are x₁ and x₂ and 2x₁ = 3x₂.
By the roots of an equation, ax² + bx + c , where its roots are x₁ and x₂. It follows that sum of roots are x₁ + x₂ = -b/a and product of roots are x₁x₂ = c/a.
Comparing both equations, a = 3 b = 2 and c = k.
So, x₁ + x₂ = -b/a = -2/3 and x₁x₂ = c/a = k/3
x₁ + x₂ = -2/3 and x₁x₂ = k/3
3x₁ + 3x₂ = -2 (1) and 3x₁x₂ = k (2)
Since 2x₁ = -3x₂, and -2x₁ = 3x₂substituting this into equations (1) and (2) above, we have
3x₁ + 3x₂ = -2 (1) and 3x₁x₂ = k (2)
3x₁ + (-2x₁) = -2 and x₁(3x₂) = k
3x₁ - 2x₁ = -2 and x₁(3x₂) = k
x₁ = -2 and x₁(-2x₁) = k
x₁ = -2 and -2x₁² = k
Substituting x₁ = -2 into -2x₁² = k, we have
-2x₁² = k
-2(-2)² = k
2(4) = k
8 = k
So, k = 8
