Hi there
The formula is
A=p (1+r/k)^kt
A future value 3000
P present value 100
R interest rate 0.02
K compounded monthly 12
T time?
We need to solve for t
T=[log (A/p)÷log (1+r/k)]÷k
T=(log(3,000÷100)÷log(1+0.02÷12))÷12
T=170.202 years
So it's a
Hope it helps
The angle that is coterminal to 425° is the last one:
B = 425° + n*1,440°
<h3>Which measure is of an angle that is coterminal with a 425° angle?</h3>
By definition, for any angle A, we can say that an angle B is coterminal to A if:
B = A + n*360°
where n can be any integer.
So, from the given options, we need to see which one is a multiple of 360°.
Of the given options, the only that meets this condition is the last one:
B = 425° + n*1,440°
Where:
1,440°/360° = 4
Then we conclude that:
425° + n*1,440° is coterminal to 425°.
If you want to learn more about coterminal angles:
brainly.com/question/3286526
#SPJ4
Answer:
1032xy + 72
Step-by-step explanation:
(3x3y0x-2)4(y2x-45xy-8)3=
(0-2)×4(2xy-45xy-3)×3=
-2×4(2xy-45xy-3)×3=
-2×4(-43xy-3)×3=
-24(-43xy-3)
1032xy+72
1) The function is
3(x + 2)³ - 32) The
end behaviour is the
limits when x approaches +/- infinity.3) Since the polynomial is of
odd degree you can predict that
the ends head off in opposite direction. The limits confirm that.
4) The limit when x approaches negative infinity is negative infinity, then
the left end of the function heads off downward (toward - ∞).
5) The limit when x approaches positive infinity is positivie infinity, then
the right end of the function heads off upward (toward + ∞).
6) To graph the function it is important to determine:
- x-intercepts
- y-intercepts
- critical points: local maxima, local minima, and inflection points.
7)
x-intercepts ⇒ y = 0⇒ <span>
3(x + 2)³ - 3 = 0 ⇒ (x + 2)³ - 1 = 0
</span>
<span>⇒ (x + 2)³ = -1 ⇒ x + 2 = 1 ⇒
x = - 1</span>
8)
y-intercepts ⇒ x = 0y = <span>3(x + 2)³ - 3 =
3(0 + 2)³ - 3 = 0 - 3×8 - 3 = 24 - 3 =
21</span><span>
</span><span>
</span><span>9)
Critical points ⇒ first derivative = 0</span><span>
</span><span>
</span><span>i) dy / dx = 9(x + 2)² = 0
</span><span>
</span><span>
</span><span>⇒ x + 2 = 0 ⇒
x = - 2</span><span>
</span><span>
</span><span>ii)
second derivative: to determine where x = - 2 is a local maximum, a local minimum, or an inflection point.
</span><span>
</span><span>
</span><span>
y'' = 18 (x + 2); x = - 2 ⇒ y'' = 0 ⇒ inflection point.</span><span>
</span><span>
</span><span>Then the function does not have local minimum nor maximum, but an
inflection point at x = -2.</span><span>
</span><span>
</span><span>Using all that information you can
graph the function, and I
attache the figure with the graph.
</span>
<em>zero product property (Angela)</em>
- Step-by-step explanation:
<em>Hi there ! </em>
<em> (Angela)</em>
<em>3x² + 10x = 0</em>
<em>x(3x + 10) = 0</em>
<em>x = 0 => x₁ = 0</em>
<em>3x + 10 = 0 => 3x = - 10 => x₂ = - 10/3 = - 3 1/3</em>
<em>Good luck !</em>