Given: In the given figure, there are two equilateral triangles having side 50 yards each and two sectors of radius (r) = 50 yards each with the sector angle θ = 120°
To Find: The length of the park's boundary to the nearest yard.
Calculation:
The length of the park's boundary (P) = 2× side of equilateral triangle + 2 × length of the arc
or, (P) = 2× 50 yards + 2× (2πr) ( θ ÷360°)
or, (P) = 2× 50 yards + 2× (2×3.14× 50 yards) ( 120° ÷360°)
or, (P) = 100 yards + 2× (2×3.14× 50 yards) ( 120° ÷360°)
or, (P) = 100 yards + 209.33 yards
or, (P) = 309.33 yards ≈309 yards
Hence, the option D:309 yards is the correct option.
Answer:
The best option for him would be a real interest rate of 5%.
Step-by-step explanation:
The nominal interest rate is the one that represents the percentage of increase of the money that is in a certain investment, without discounting the depreciation due to inflation or the payment of taxes.
On the other hand, the real interest rate is the one that represents the real increase in the money invested, after discounting inflation and any taxes to be paid.
Therefore, the best option for Oscar would be to invest his $ 4,000 in a savings account with a real interest rate of 5% per year.
Answer:
1.5p + 3p + 2.5p
Step-by-step explanation:
This expression, 1.5p + 3p + 2.5p, will represent the amount of money received when p people buy one of each food item.
Since the price of each is the coefficient for p, this will represent how much money will be gained from each food item. All 3 terms will be added together to represent the total amount of money gained from selling all 3 items.
Answer:
The first, third, and fourth answers are correct!
Answer:
An exponential function
Step-by-step explanation:
So let's suppose that at 9:00 am there were 132 cars. We'll call this 
On the next half an hour, let's say at 9:30, the number of cars trippled, this is:
the next half an hour, at 10:00 am, the number of cars trippled, this is:
and finaly, at 10:30am, the number of cars trippled again, so:
We can now see a pattern there which can be simplified as:
or
where:
initial number of cars
n=number of half hours after 9:00 a.m
number of cars after n number of half hours.
That function we found there is an exponential function, which represents an initial amount being multiplied by the same number several times.
