Answer:
6.3 years
Step-by-step explanation:
The formula for depreciation is
Where P is the initial value, A is final value, t is duration in years and r is rate in deximal point. Substituting 55, 500 for P and 20, 000 for A, 0.15 for rate, r then
Therefore, it requires about 6.3 years
Answer:
The minimum number of cups she must sell to reach her goal=43 cups
Step-by-step explanation:
Total earnings=Total Lemonade sales-Supplies expenditure
where;
Total earnings=$40
Total Lemonade sales=Price per cup×Number of cups sold(n)=(0.7×n)=0.7n
Supplies Expenditure=0.23 per cup=(0.23×n)=0.23n
Replacing;
40=0.7n+0.23n
Inequality; 0.7n+0.23n=40
Solving;
0.93n=40
n=40/0.93)=43 cups
The minimum number of cups she must sell to reach her goal=n=43 cups
<span>a. 7 fireflies are caught per minute.
b. 19 fireflies were already caught prior to the contest starting.
a.
Looking at the equations (3m + 13) and (4m + 6) where m is equal to the number of minutes since the contest began, it's obvious that there are 3+4 = 7 fireflies caught per minute.
b.
One again, look at the two equations. Or for that matter, calculate them both and add the results for m=0 (the moment the contest began). And upon doing so, you'll see that 13 + 6 = 19 fireflies were caught prior to the competition starting.</span>
Answer:
155
Step-by-step explanation:
Using the recursive formula and a₁ = 1, then
a₂ = 3a₁ + 2 = 3(1) + 2 = 3 + 2 = 5
a₃ = 3a₂ + 2 = 3(5) + 2 = 15 + 2 = 17
a₄ = 3a₃ + 2 = 3(17) + 2 = 51 + 2 = 53
a₅ = 3a₄ + 2 = 3(51) + 2 = 153 + 2 = 155
Thus the 5 th term is 155
Answer: P(x ≥ 47) = 0.25
Step-by-step explanation:
Since the distribution of the life expectancies of a certain protozoan is normal, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = life expectancies of the certain protozoan.
µ = mean
σ = standard deviation
n = number of samples
From the information given,
µ = 46 days
σ = 10.5 days
n = 49
The probability that a simple random sample of 49 protozoa will have a mean life expectancy of 47 or more days is expressed as
P(x ≥ 47) = 1 - P(x < 47)
For x = 47
z = (47 - 46)/(10.5/√49) = 0.67
Looking at the normal distribution table, the probability corresponding to the z score is 0.0.75
P(x ≥ 47) = 1 - 0.75 = 0.25