A person places $6520 in an investment account earning an annual rate of 2.5%, compounded continuously. Using the formula V = Pert, where V is the value of the
account in t years, P is the principal initially invested, e is the base of a nfitural
logarithm, and r is the rate of interest, determine the amount of money, to the nearest
cent, in the account after 3 years.

Given:

Principal value = $6520

Annual rate of interest = 2.5% compounded continuously.

Time = 3 years

To find:

The amount of money after three years.

Solution:

Formula for the value of the amount is:

Where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest.

Putting , we get

Therefore, the amount of money after three years is about $7027.80.

d

step-by-step explanation:

given

y + 3 = - 4(x - 2) ← distribute the parenthesis

y + 3 = - 4x + 8 ( subtract 3 from both sides )

y = - 4x + 5 → d

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.