Answer:
Length (L) = 72 feet
Step-by-step explanation:
From the question given above, the following data were obtained:
Period (T) = 9.42 s
Pi (π) = 3.14
Length (L) =?
The length of the pendulum can be obtained as follow:
T = 2π √(L/32)
9.42 = (2 × 3.14) √(L/32)
9.42 = 6.28 √(L/32)
Divide both side by 6.28
√(L/32) = 9.42 / 6.28
Take the square of both side
L/32 = (9.42 / 6.28)²
Cross multiply
L = 32 × (9.42 / 6.28)²
L = 72 feet
Thus, the Lenght is 72 feet
First box (under 1) is 7, next box (above 12.5) is 6.5 and the last box is 16
20 + 5 + 2 + 3 + 1 minus 1 =30
Answer: it would be worth $11925 when it matures after 7 years.
Step-by-step explanation:
The formula for determining simple interest is expressed as
I = PRT/100
Where
I represents interest paid on the loan.
P represents the principal or amount invested in the CD.
R represents interest rate on the amount invested in the CD.
T represents the duration of the investment in years.
From the information given,
P = $10,000
R = 2.75%
T = 7 years
I = (10000 × 2.75 × 7)/100
I = $1925
Therefore, the worth of the CD in total at the end of 7 years when the CD matures is
10000 + 1925 = $11925
Answer:
Step-by-step explanation:
Base of the isosceles triangle = 4
Perpendicular of the triangle = 3
In an isosceles triangle , a perpendicular bisects a base equally. So, here the isosceles triangle consist of 2 right angled triangles.
In that right angled triangles,
Base = 4/2 = 2 (∵ A perpendicular divides a base into 2 equal parts. )
Perpendicular = 3
Hypotenuse = x
So , according to Pythagorean Theorem ,
Using all the values above into the formula gives :-
