Tan is opposite/adjacent = 15/8
Sin = opp/hyp
Cos = adj,/ hyp
Use Pythagorean theorem to find hypotenuse
15^2 + 8^2 = c^2
225+64= 289
√289= c
c=17
Sin = 15/17
Cos= 8/17
The number of multiples of 5 from 1 to 100 is:
1≤5n≤100
1/5≤n≤20, since n must be an integer
1≤n≤20
So the multiples of five number 20-1+1=20 elements, and the probability of choosing one of the multiples from the first 100 positive integers is:
P(5n)=20/100=1/5
Answer:
a
Step-by-step explanation:
Answer:
2.5 pounds per book
Step-by-step explanation:
Set up a proportion
20 copies / 50 pounds = 1 copy / x pounds
Cross multiply
20x = 50
Divide both sides by 20
x = 2.5 pounds
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Answer:
A = $996.00
Step-by-step explanation:
(I = A - P = $196.00)
Equation:
A = P(1 + rt)
Where:
A = Total Accrued Amount (principal + interest)
P = Principal Amount
I = Interest Amount
r = Rate of Interest per year in decimal; r = R/100
R = Rate of Interest per year as a percent; R = r * 100
t = Time Period involved in months or years
From the base formula, A = P(1 + rt) derived from A = P + I and I = Prt so A = P + I = P + Prt = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 7%/100 = 0.07 per year.
Solving our equation:
A = 800(1 + (0.07 × 3.5)) = 996
A = $996.00
The total amount accrued, principal plus interest, from simple interest on a principal of $800.00 at a rate of 7% per year for 3.5 years is $996.00.