Answer:
137.26 m^3
Step-by-step explanation:
Put the numbers into the formula and do the arithmetic.
v = (1/6)(√3.14)(60 m^2)^(3/2) = 137.26 m^3
Compound Interest is the interest that is <em>compounded on a particular sum of money or investment over a given period of time.</em>
- The interest for the first year is $1,576.25
- The sum of money after adding the original to the interest is $11,576.25
- The interest on the new total is $13,400.96
- Step 1: Find the interest for the first year.
The formula is given as:
A = P(1 + r/n)^nt
P = Principal = $10,000
R = Rate = 5%
n = 1
t = 1
First, convert R as a percent to r as a decimal
r = R/100
r = 5/100
r = 0.05 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 10,000(1 + 0.05/1)^(1)(3)
A = 10,000.00(1 + 0.05)^(3)
A = $11,576.25
I = A - P
Hence:
I = $11,576.25 - $10,000.00
I (interest) = $1,576.25
-
Step 2: Add the interest to the original amount.
$10,000 + $1,576.25
= $11,576.25
-
Step 3: Determine interest in the new total
The formula is given as:
A = P(1 + r/n)^nt
P = Principal = $11,576.25
r = 0.05 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 11,576.25(1 + 0.05/1)^(1)(3)
A = 11,576.25(1 + 0.05)^(3)
A = $13,400.96
Therefore,
- The interest for the first year is $1,576.25
- The sum of money after adding the original to the interest is $11,576.25
- The interest on the new total is $13,400.96
To learn more, visit the link below:
brainly.com/question/16020930
Step-by-step explanation:
area of the minor sector= angle of the sector/360 * πr²
= 77/360 *22/7* 10.7²
= 76.96in²
appx 77.0in²
The formula of the kinetic energy is:
K.E =
mv²
The given are
K.E = 100 J
v = 5 m/s
Plug them in:
100 =
m × (5)²
100 =
m × 25
100 = 12.5m
Divide by 12.5 on either sides to isolate m
=
12.5 and 12.5 cancels out
8 kg = m
The mass of the baseball that has a kinetic energy of 100 J and speed of 5 m/s is 8 kg
Time taken by car A = 6 hr and time taken by car B is 8 hours
<u>Explanation:</u>
<u />
Given:
Distance, d = 480 km
Let x be the time taken by B to reach the destination:
So,
Time taken by car A to reach the destination = x -2
We know:
Distance = speed X time
speed = 
On substituting the value we get:
Speed of car A = 
Speed of car B = 
Since car A travelled 20 km/hr faster than the car B, the equation becomes:
Multiplying both sides by (x - 2) we get:
Therefore, time taken by car A = x - 2
= 8 - 2 hr
= 6 hr
Time taken by car B = 8 hr
