Answer:
Center = (7, - 5)
Radius = 3
Step-by-step explanation:
V = 1/3* h * r^3 pi
V ' = 1/3* h/3* (2r)^3 pi = h/9 * 8r^3 * pi
V ' / V = (h/9 * 8r^3 * pi) ÷ ( 1/3* h * r^3 pi ) = (8 * 3)/ 9 = 8 /3
149x15=2235. If there were 8 duds in 149 it averages a dud every 18 firecrackers. So we know there's 2086 more so we for sure know there is more than 10 most likely more than 15 I'm assuming 15-30 so if there are any answers in that range I think it could be the answer (if more than one answer is in that range let me know and I'll try figuring out the exact answer)
Answer:
9,942 bacteria were there at 10 hours.
Step-by-step explanation:
Equation for population decay:
The equation for population decay, after t hours, is given by:
In which P(0) is the initial population and r is the decay rate, as a decimal.
Researchers recorded that a certain bacteria population declined from 200,000 to 900 in 18 hours.
This means that and that when . So we use this to find r.
So
At this rate of decay, how many bacteria was there at 10 hours?
This is P(10). So
Rounding to the nearest whole number:
9,942 bacteria were there at 10 hours.
Answer:
$4,723.21
Step-by-step explanation:
Formula for COMPOUND INTEREST:
A = P ( 1 + r/n) ^ nt
Where A = principal money + interest earned,
P = Principal Money
r = interest rate in decmial
n = no. of times i.rate is compounded
nt = time
Since the qns asked to be compounded /monthly', you have the following formula:
A = 3250 ( 1 + 7.5%/12) ^ 60
7.5% is a yearly rate so divide it by 12 (as in 12 months)
60 = 5 years x 12 months
so use a calculator and you'll get $4723.206, round off and it's $4723.21