90 is the LCM of 30 and 45
Answer:
87.9
Step-by-step explanation:
Use a calculator or table to find the z-score that corresponds to 25%.
P(Z < z) = 0.25
z = -0.675
Now find the value that corresponds to that z score.
z = (x − μ) / σ
-0.675 = (x − 101.3) / 19.9
x = 87.9
Answer:
35 - m
Step-by-step explanation:
A tank containing 35 gallons of water is leaking at a rate of gallon per minute.
"m" represents the number of minutes spent
Number of gallons left in the tank = initial amount of water present – leaked amount of water
Number of gallons of water left = 35 gallons – number of minutes spent rate of leakage.
Number of gallons of water left = 35 gallons – m minutes 1 gallons per minute
Answer:
$9.60
Step-by-step explanation:
The question above is a simple interest question.
The formula for the amount of money after a given period of time using simple interest is given as:
A = P(1 + rt)
Where
P = Initial Amount saved or invested = $8
R = Interest rate = 5%
t = Time in years = 4
Calculation:
First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year.
Solving our equation:
A = 8(1 + (0.05 × 4)) = 9.6
A = $9.60
The amount of money that will be in a bank account after 4 years is $9.60
1+3+5+7+...+999 =
= 1+2+3+4+...+500
+1+2+3+...+499
= 2·(1+2+3+...+499) + 500
= 2·(499·500)/2 + 500
= 499·500 + 500
= 500·(499 + 1)
= 500·500
= 250.000
