The answer to this question would be: 17 years
The <span>interest rate is 3.8% compounded twice a year. The function of the saving account amount would be:
f(x)= </span><span>4,790.23* (1+ 0.038/2)^2x
</span>f(x)= 4,790.23* (1.019)^2x
Then for f(x)= 9,000 the x value would be:
9,000= 4,790.23* (1.019)^2x
9,000/4,790.23= (1.019)^2x
1.8788= (1.019)^2x
<span>2x=34
</span>x=17
So i think that this is x=7 I think I'm right but not for sure
hope this helps
We have the following equation:
y = 2 (2.71) ^ x
It is an equation of the form:
y = A (b) ^ x
Where,
A: initial amount
b: growth rate
We have then that the initial amount occurs for x = 0
Substituting:
y = 2 (2.71) ^ 0
y = 2 (1)
y = 2
Answer:
the initial value of and in the equation y = 2 (2.71) ^ x is:
y = 2
Answer:
The number of persons using the elevator at any hour is never going to be less that 15.
Step-by-step explanation:
To solves this you have to suppose that there are at least 15 persons on the elevator, and the equation is converted into an inequation:
Now you transform the inequation back to an equation to solve it:

You need to know if there is any negative solution for the equation, to do this you can use the discriminant for a quadratic equation:

In this case, you have a=1, b=-10, c=25

Since the discriminant is 0 and a<0 the equation always is going to be positive. Therefore, the number of persons using the elevator at any hour is never going to be less than 15.
Answer:
12.22
Step-by-step explanation:
There are 360° in a full circle
The circumference of a circle is c = 2πr
----------------------------------
The lenght of the arc will be the portion of the circumferece included in the angle
l = (∅/360) * 2πr
plug in the knowns
l = (70/360) * 2π(10)
l ≈ 12.22