Answer:
The dog's running area is approximately 942 feet².
Step-by-step explanation:
The dog is leashed to a fixed point, the leash has a length of 20 ft, therefore he can rotate around that point at the maximum distance equal to the length of the leash. This pattern forms a circle, but there is an obstruction, which is the corner of the house. This obstruction takes an arc of the original circle, so the running area of the dog is the area of the whole circle minus the area of the arc formed by the corner of the house.

The dog's running area is approximately 942 feet².
Answer:
The amount of money that should be invested at the rate of 5.25% is $12,000 and the amount money that should be invested at the rate of 4% is $13,000
Step-by-step explanation:
we know that
The simple interest formula is equal to
where
I is the Final Interest Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
Let
x ------> the amount of money that should be invested at the rate of 5.25%
25,000-x -----> the amount money that should be invested at the rate of 4%
in this problem we have
substitute in the formula above
Solve for x
therefore
The amount of money that should be invested at the rate of 5.25% is $12,000 and the amount money that should be invested at the rate of 4% is $13,000
There would be, ≈ 7.38 ounces in a $1.15 box.
Answer:-55/4
Step-by-step explanation:
-880,-220,-55,...
First term=a=-880
Common ratio=r=-220/-880=1/4
Using the formula
Tn=a x r^(n-1)
T4=-880 x (1/4)^(4-1)
T4=-880 x (1/4)^3
T4=-880 x 1/4 x 1/4 x 1/4
T4=-880 x 1/64
T4=-880/64
T4=-55/4