2) At a local grocery store, three bags of peanuts and four bags of almonds cost $27 45.
1 answer:
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Answer:
a)
b) Approx. 27,569 bacteria
c) About 103 minutes
Step-by-step explanation:
a)
This will follow exponential modelling with form of equation shown below:
Where
A is the initial amount (here, 12000)
b is the growth factor (double, so growth factor is "2")
n is the number of minutes in which it doubles, so n = 50
Substituting, we get our formula:
b)
To get number of bacteria after 1 hour, we have to plug in the time into "t" of the formula we wrote earlier.
Remember, t is in minutes, so
1 hour = 60 minutes
t = 60
Substituting, we get:
The number of bacteria after 1 hour would approximate be <u>27,569 bacteria</u>
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c)
To get TIME to go to 50,000 bacteria, we will substitute 50,000 into "y" of the equation and solve the equation using natural logarithms to get t. Shown below:
After about 103 minutes, there will be 50,000 bacteria
Answer:
I assume you know Arithmetic Progression .
so, we have to find the first and last 4-digit number divisible by 5
first = 1000 , last = 9990
we have a formula, = a + (n-1)d
here, is the last 4-digit number divisible by 5.
n is the number of 4-digit even numbers divisible by 5
d is the common difference between the numbers, which is 10 in this case
a is the first 4-digit number divisible by 5
9990 = 1000 + (n-1)*10
899 = n-1
n = 900
Hence, there are 900 4-digit even numbers divisible by 5
<u>Answer-</u>
<em>The amount will be </em><em>$8944.62</em><em> after 5 years.</em>
<u>Solution-</u>
We know that,
Where,
P = Payment = $50 monthly
r = rate of interest compounded monthly=
n = number of period = 5 years = 5×12 = 60 months
Putting the values in the formula,
Therefore, the amount will be $8944.62 after 5 years.