Answer:
5x = 2y
Step-by-step explanation:
Answer:
Initial amount = 12
Rate of growth = 5%
value of the function when t t = 5 is 15.3
Step-by-step explanation:
The standard exponential growth equation is expressed as;
y = A(1+r)^t
A is the initial amount
r is the rate of growth
t is the time
Given the expression y = 12(1.05)^t
On comparing with the general formula;
A = 12
Hence the initial amount is 12
Also;
1 + r = 1.05
r = 1.05 -1
r = 0.05
r = 0.05 * 100
r = 5%
The rate of growth is 5%
To evaluate the function when t = 5, we will substitute t = 5 into the given function as shown;
Recall that y = A(1+r)^t
y = 12(1.05)^5
y = 12(1.2763)
y = 15.3 (to the nearest tenth)
Step-by-step explanation:
A school needs 2,2337 notepads. They come in packs of 20. This is a common question.
Start by finding out how many packs of 20 go into 2,337. This is done by doing the division 2337 ÷ 20. This finds the answer 116. The remainder is 17. Hmm. The school cannot buy 116 packs of notepads otherwise they would be 17 short ( the remainder), so they buy one extra pack-117 packs. This extra pack covers the extra 17, even though there are no packs of 17, only 20. This means they will have three spare.
The answer is 117 packs.
Using the dimensions provided, you can find the volume of the water in the swimming pool:
π∗r2∗h
72∗π∗1.5=230.9m3
The density of water is 1,000.00 kg/m³
Therefore, the mass of water displaced is:230.9∗1000=230900kg
This amount of water must be displaced an average of .75+1.5+1 = 3.25 meters upwards.We don't need calculus here since the sides of the pool are straight.
The amount of work will be equivilant to the change in gravitational potential energy, so let's calculate the change in GPE associated with raising 230900kg of water by 3.25 meters:
230900∗9.8∗3.25=7354165J
Step-by-step explanation:
(A u B ) = A union B = A + B
(A u B ) = ( a, b,c,d,e,g)