Answer:
A = $56,740
Step-by-step explanation:
Use the Compound Amount formula A = P(1 + r)^t. Substitute 0.05 for r and $40,000 for P:
A = $40,000(1 + 0.05)^6
A = $56,740.26, or, rounded off to the nearest dollar,
A = $56,740
Answer:
The function has a negative leading coefficient and a maximum vertex point
Explanation:
This function's leading coefficient is determined by whether it is concave up or concave down, meaning it has an Up and Up end behavior for a positive leading coefficient and a Down and Down end behavior for a negative coefficient.
This function's end behavior is Down and Down, so it must have a negative leading coefficient.
The function has a minimum vertex when the function has a positive leading coefficient and a maximum vertex point when the function has a negative leading coefficient.
This means that the functions vertex is the highest or lowest possible value of the function (the rest of the function continues forever in whichever direction.
This particular function has a maximum vertex as there is no point above the vertex here and the function has a negative leading coefficient.
Answer:
) See annex
b) See annex
x = 0,5 ft
y = 2 ft and
V = 2 ft³
Step-by-step explanation: See annex
c) V = y*y*x
d-1) y = 3 - 2x
d-2) V = (3-2x)* ( 3-2x)* x ⇒ V = (3-2x)²*x
V(x) =( 9 + 4x² - 12x )*x ⇒ V(x) = 9x + 4x³ - 12x²
Taking derivatives
V¨(x) = 9 + 12x² - 24x
V¨(x) = 0 ⇒ 12x² -24x +9 = 0 ⇒ 4x² - 8x + 3 = 0
Solving for x (second degree equation)
x =[ -b ± √b²- 4ac ] / 2a
we get x₁ = 1,5 and x₂ = 0,5
We look at y = 3 - 2x and see that the value x₂ is the only valid root
then
x = 0,5 ft
y = 2 ft and
V = 0,5*2*2
V = 2 ft³
0.625 day to grow 1 cm.
16/10 = 1.6 cm in day.
I hope that help ✌️
If the smaller volume ratio is 4 to 1331, divide 1331 by 4 to get the multiplying factor.
1331/4 = 332.75
Now we multiply 332.75 by 7 to get our larger volume.
332.75 x 7 = 2329.25
2,329 is our larger volume.
I hope this helps!
