Simple, the area is 80*50, 80*50=4,000 ft², the backyard has a dimension of 50*40=2,000 ft², subtract 4,000 from 2,000, 4,000-2,000=2,000 ft²
Answer:
- $855,000
- Dividend per share of common stock = $1.06
Step-by-step explanation:
1. Preferred Share dividends.
There are 300,000 preference shares and each of them got $2.85. Total dividends are;
= 300,000 * 2.85
= $855,000
2. Total dividends = $3,500,000
Dividends left for Common Shareholders (preference gets paid first)
= 3,500,000 - 855,000
= $2,645,000
Common shares number 2,500,000
Dividend per share of common stock = 
= $1.06
Principal amount= $3,500.00
Annul interest rate= 3%
Numbers of years= n =20,
compounded semiannually
Solution:
Use the semiannual compounding period to express the effective semiannual rate which is 3%/2 = 1.5% per 6 month period.
Now there are n=2(no. of years) semiannual periods for given cash flow
n=2*20
n=40 semiannual periods
Now,
F=P( F/P,1.5%,40)
F=$3500(1.8140) , (1.8140 is the value get from table at 1.5% interest for n=40)
F=6,349.00 is the amount in bank after 20 years, compounded semiannually.
You can also do this problem by another method which is
first find the compound interest by using the formula
I=((1+i/n)^n)-1.........3
i=3%=0.03
n=20
So, by putting values in the above formula 3, you get
I=(1+0.03/20)^20-1
I=1.031-1
I=0.030403
I=3.043%
F=P(F/P,i%,n)
F=$3500(F/P,3.043,20)
When you use this interest( I )then you will need interpolation if the I value is not in the economics table
F=6,349.00
The answer will remain same as get by above method.
Let's solve this problem step-by-step.
STEP-BY-STEP EXPLANATION:
Let's first establish that the area of the lawn which the dog could reach from the stake would be the area of a circle.
This means we will require the formula for the area of a circle in order to obtain the area of the lawn which the dog can reach.
The formula for the area of a circle is as follows:
Let area of the lawn which dog can reach from the stake or area of circle = A
A = ( Pi )r^2
Where Pi = 3.14 ( we will be using 3.14 as stated in the problem )
Where r = radius of the circle
From this, we will use the value given from the problem for the radius of the circle and substitute it into the formula to obtain the area of the lawn the dog can reach.
r = 9 feet
THEREFORE:
A = ( 3.14 )( 9 )^2
A = 254.34 square feet
A = 254 square feet ( rounded to the nearest whole number for the approximate value )
FINAL ANSWER:
Therefore, the approximate area of the lawn which the dog could reach from the stake is 254 square feet.
Hope this helps! :)
Have a lovely day! <3
Answer:
He ran a total of 3 mile within 10 minutes.
Step-by-step explanation:
30 divided by 10 equals 3.
