Answer:
x=8
Step-by-step explanation:
We have been given that a person places $6340 in an investment account earning an annual rate of 8.4%, compounded continuously. We are asked to find amount of money in the account after 2 years.
We will use continuous compounding formula to solve our given problem as:
, where
A = Final amount after t years,
P = Principal initially invested,
e = base of a natural logarithm,
r = Rate of interest in decimal form.
Upon substituting our given values in above formula, we will get:
Upon rounding to nearest cent, we will get:
Therefore, an amount of $7499.82 will be in account after 2 years.
Answer:
Step-by-step explanation:
If the ratio of triangle = 3:4:2
Total ratio = 3+4+2 = 9
The sum of angle in a triangle is 180°
1st angle= 3/9 × 180 = 2 × 20 = 60°
2nd angle= 4/9 × 180 = 4 × 20 = 80°
3rd angle= 2/9 × 180 = 2 × 20 = 40°
Answer:
Step-by-step explanation:
< UTY + <RWX = 180°
( same side interior angle theorem ) → < UTY + <RWX = 180°
The entire yard is 36x54 so you would draw a rectangle with those measurements, since there is a border of 3 you should draw another rectangle in the middle with measurements 6 less than the original. 30x48
since you are finding the area of the walk, you would find the larger area, then subtract the smaller rectangle
(36*54)-(30*48)
1944-1440
504 square feet of walk
