Answer:
(A)Decay
(b)0.8
(c)First Term
(d)
(e)$819.20
Step-by-step explanation:
The exponential function for modelling growth or decay is given as:
,
Where:
Plus indicates growth and minus indicates decay.
For a powerful computer that was purchased for $2000, but loses 20% of its value each year.
(a)Since it loses value, it is a decay.
(b)Multiplier
Its value decays by 20%.
Therefore, our multiplier(1-r) =(1-20&)=1-0.2
Multiplier =0.8
(c)$2000 is our First term (or Initial Value 
)
(d)The function for this problem is therefore:
(e)Since we require the worth of the computer after 4 years,
t=4 years
Answer:
804.2 meters³
Step-by-step explanation:
To find the volume of a cylinder, you multiply the height by the area of the base (which is πr²), so the equation is <em>V = hπr²</em>.
We can plug in out givens: <em>V = 16*π*4²</em>. Simplifying this gives us <em>V = 256 π meters³</em> which is approximately 804.2 meters³.
Greatest common factor (GCF) of 42 and 63 is 21. We will now calculate the prime factors of 42 and 63, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42 and 63.
D
500(x-2)=200x
500x-1000=200x
300x=1000
x=3.333330 or 3 and 1/3
Propeller distance: 3 and 1/3 * 200 = 666.666667 or 666 and 2/3 miles
Answer:
36 square feet
Step-by-step explanation:
area of the yard: 12×12=144
patio should be 1/4 of the yard, so 144:4=36 is the area of the patio
