Answer (B) 2/3
Explanation: the multiplicative rate is the ratio of the values y(k)/y(k+1) (with k being the index). This ratio must be the same for the function to be exponential. We can take y(2)/y(1) = 4/6 = 2/3.
We can use 2/3 to verify the remaining entries:
x=3: 4*2/3 = 8/3 = y(3)
x=4: (8/3)*(2/3)=16/9=y(3)
<h3>The volume of cube is 729 cubic centimeter</h3>
<em><u>Solution:</u></em>
<em><u>The surface area of cube is given as:</u></em>

Where, "a" is the length of side of cube
Given that, surface area = 486 square centimeter

<u><em>Find the volume of cube:</em></u>

Thus volume of cube is 729 cubic centimeter
Answer:
Avicenna can expect to lose money from offering these policies. In the long run, they should expect to lose ___33__ dollars on each policy sold
Step-by-step explanation:
Given :
The amount the company Avicenna must pay to the shareholder if the person die before 70 years = $ 26,500
The value of each policy = $497
It is given that there is a 2% chance that people will die before 70 years and 98% chance that people will live till the age 70.
The expected policy to be sold= policy nominal + chances of death
= 497 + [98% (no pay) + 2% (pay)]
= 497 + [98%(0) + 2%(-26500)]
(The negative sign shows that money goes out of the company)
= 497 - 2% (26500)
= 497 - 530
=33
Therefore the company loses 33 dollar on each policy sold in the long run.
Answer:
56,735 people
Step-by-step explanation:
We can set up an equation to model this:
The equation for exponential decay is y = C(1 - r)^t, where C is the original amount, r is rate of change, and t is time.
We can plug in the corresponding values and solve:
y = 62500(1 - 0.016)^6
y = 62500(0.984)^6
y = (62500)(0.9077)
y = 56,734.94, which we can round to 56,735 people
Step-by-step explanation:
- (√3+√7)(√3+√7)
- (√3)^2+[(√3*√7)+(√3*√7)]+(√7)^2
- 3+2√21+7
- 10+2√21