For this case we have a function of the form:
Where,
n0: initial amount (in units of millions)
b: growth rate
t: time in years
Substituting values we have:
Answer:
the number of toys being produced, n (in millions), in t years is:
D. 
<u>Complete Question:
</u>
An isosceles triangle has two sides of equal length. The third side is 5 less than twice the length of one of the other sides. If the perimeter of the triangle is 23 cm, what is the length of the third side The third side is described in relation to one of the equal sides, so let x = the length of one of the equal sides. Which equation models the problem?
O x + x + (5 – 2 x) = 23
O x + x + (2 x – 5) = 23
O x + x + (2 x + 5) = 23
O X + (2 x - 5) + (2 x - 5) = 23
<u>Answer:
</u>
The equation models the problem is x + x + (2 x – 5) = 23
<u>Step-by-step explanation:</u>
Given:
An isosceles triangle has two sides of equal length, so let x = the length of one of the equal sides
.
The third side is 5 less than twice the length of one of the other sides. So, the third side is described as 2 x - 5.
The perimeter is the sum of the side lengths and given it as 23. Therefore, form the equation as below,
Perimeter = x + x + (2 x-5)
Given perimeter of triangle = 23 cm. Hence,
x + x + (2 x-5) = 23
The above equation models the given problem.
Answer:
Option 2
Step-by-step explanation:
Diameter = 14
Radius = 7
Volume = 4/3 × pi × 7³
1. <span>The yz-plane is the plane x = 0. </span>
So, The general rule of reflection over the yz- plane is <span>(x,y,z) →(−x,y,z)
</span>
===========================================
<span>2. Applying the rule found in (1)
</span>
<span>the new points of the shape after this reflection will be
</span>
P(–1, 2, 0) ⇒⇒⇒ <span>P'(1, 2, 0)
</span>Y(2, 3, 0) <span>⇒⇒⇒ Y'(-2, 3, 0)
</span>
R(–3, 4, 0) ⇒⇒⇒ <span>R'(3, 4, 0)
</span>
A(–2, 1, 5) ⇒⇒⇒ A'(2, 1, 5)
=============================================
3. Applying the transformation rule <span>(x, y, z) → (x + 2, y + 4, z – 3)
</span>
<span />to the points from number 2
<span>P'(1, 2, 0) ⇒⇒⇒
P" (3 , 6 , -3 )
</span><span>Y'(-2, 3, 0) ⇒⇒⇒ Y" (0 , 7 , -3)
</span><span>R'(3, 4, 0) ⇒⇒⇒ R" ( 5 , 8 , -3)
</span>A'(2, 1, 5) ⇒⇒⇒ A" ( 4 , 5 , 2)
Answer:
20089000
Step-by-step explanation:
