At the time of her grandson's birth, a grandmother deposits $12,000.00 in an account that pays 2% compound monthly. What will be that value of the account at the child's twenty-first birthday, assuming that no other deposits or withdrawls are made during the period.
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A(t) = P(1+(r/n))^(nt)
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A(21) = 12000(1+(0.02/12))^(12*21)
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A(21) = 12000(1.5214)
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A(21) = #18,257.15
Answer:
3.85 hours
Step-by-step explanation:
We have that the model equation in this case would be of the following type, being "and" the concentration of bacteria:
y = a * e ^ (b * t)
where a and b are constants and t is time.
We know that when the time is 0, we know that there are 100,000 bacteria, therefore:
100000 = a * e ^ (b * 0)
100000 = a * 1
a = 100000
they tell us that when the time is 2 hours, the amount doubles, that is:
200000 = a * e ^ (b * 2)
already knowing that a equals 100,000
e ^ (b * 2) = 2
b * 2 = ln 2
b = (ln 2) / 2
b = 0.3465
Having the value of the constants, we will calculate the value of the time when there are 380000, that is:
380000 = 100000 * (e ^ 0.3465 * t)
3.8 = e ^ 0.3465 * t
ln 3.8 = 0.3465 * t
t = 1.335 / 0.3465
t = 3.85
That is to say that in order to reach this concentration 3.85 hours must pass
S=small pizzas
p=pasta dinners
s+p=1600
9s+13p=15600
multiply first equaiton by -9 and add to the second one
-9s-9p=-14400
<u>9s+13p=15600 +</u>
0s+4p=1200
4p=1200
divide by 4
p=300
sub back
s+p=1600
s+300=1600
minus 300 both sides
s=1300
1300 small pizzas
300 pasta dinners
<span>The simulations have different theoretical probabilities of a 3-child family having exactly one girl, and the experimental probabilities they generate may differ.</span>
Joni’s total interest earned is 0.125% of her investment.
<u>Solution:</u>
Given that
Interest earned by Joni per day = $0.625
Investment done by Joni = $1000
Duration of earning interest = 2 days
Total interest earned = interest earned by Joni
duration of interest earned.
= 0.625
2 = $1.25


So Joni’s total interest earned is 0.125% of her investment.