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:
P = 6w + 18
Step-by-step explanation:
A rectangle is a plane shape having a LENGTH and a WIDTH.
Length (l) = w + 4
Width (w) = 2w + 5
To write a simplified equation in terms of w to represent the total length, let's used the idea of a PERIMETER of a RECTANGLE.
Perimeter (P) = 2 ( l + b)
Where l = length= w + 4
Where b = width = 2w + 5
P = 2( w + 4 + 2w + 5)
P = 2( 3w + 9)
P = 6w + 18
Answer:
which agrees with answer B
Step-by-step explanation:
First write the equation that represents this type of variation:

then we need to solve for "x" when y = 10 as shown below:

Answer:

Step-by-step explanation:
Distribute the 5 into the parentheses (multiply them both by 5)

Subtract the 6.5 from -25.

Divide -31.5 by 15.5.

(-4-(-7)) / (1-7) = (3) / (-6) = -1/2 = slope