Answer:
$420 interest will be earned.
Step-by-step explanation:
The answer is 420 because 3.5% of 6000 is 210 and 210 multiplied by 2 is 420
P.S Can I have brainliest?
Answer: 3 : 1
Step-by-step explanation:
We know that there are 48 kids in Elm street.
12 of them are boys, then the number of girls will be:
48 - 12 = 36
So there are 12 boys and 36 girls.
Then the ratio of girls to boys is 36:12
We can divide both numbers by the same number and we will get an equivalent ratio, if we divide by 12 in both sides, we have:
36/12 : 12/12
3 : 1
Then the ratio is 3 to 1.
Answer:
The mistake they made was they switched the slope and y-intercept.
The correct answer is y=2x+7 because when we write an equation in slope intercept form (y=mx+b) you replace m with the slope and b with the y-intercept.
Hope this helps! <3
Answer:
Answers are in bold type
Step-by-step explanation:
f(x) = 
The parabola opens up, so has a minimum at the vertex.
Let (h, k) be the vertex
h = -b/2a = - (-144)/2(1) = 57
k = 57^2 - 144(57) = 3249 - 6498 = -3249
Therefore, the vertex is (57, -3249)
The minimum value is -3249
The domain is the set of real numbers.
The range = {y | y ≥ -3249}
The function decreases when -∞ < x < 57 and increases when 57 > x > ∞
The x - intercepts: = 0
x(x - 114x) = 0
x = 0 or x = 114
x-intercepts are (0, 0) and (0, 114)
When x = 0, then we get the y-intercept. So, 0^2 - 114(0) = 0
y-intercept is (0, 0)
Answer:
z = -ln│5eᵗ + C│
Step-by-step explanation:
dz/dt + 5eᵗ⁺ᶻ = 0
dz/dt = -5eᵗ⁺ᶻ
dz/dt = -5eᵗeᶻ
-e⁻ᶻ dz = 5eᵗ dt
e⁻ᶻ = 5eᵗ + C
-z = ln│5eᵗ + C│
z = -ln│5eᵗ + C│
