Solve the problem be using proper methods. show work.

if you invest $1200 at an interest rate of 1.3% compounded continuously,

a) how much will you have in 5 years?

b) how long will it take for your investment to double?

$1280.59

53 years

Step-by-step explanation:

To find how much we will get in 5 years, we use the formula:

P = $1200

r = 1.3% or 0.013

t = 5

Now that we have our values, let's plug them into the formula.

We will have $1280.59 after 5 years.

Now to find how long it will take for our investment to double.

t = ln(A/P)/r

A = 2400

P = 1200

r = 1.3 or 0.013

Let's plug it in.

t = ln(2400/1200)/0.013

t = ln(2)/0.013

t = 53.32 or 53 years

answer with step-by-step explanation:

a. ∠j is supplementary to ∠k - true:

(opposite angles of a trapezoid are supplementary which means that they add up to 180 degrees)

b. kl is parallel to jm - true:

(opposite sides are parallel to each other in a trapezoid)

c. jk is perpendicular to kl - false:

(clearly, jk does not make a right angle with kl)

d. jk is parallel to lm - false:

(jk and lm are two lines opposite in direction to each other so they cannot be parallel)

e. ∠j is congruent to ∠m - true:

(the angles on each side of the base are congruent)

f. ∠j is congruent to ∠k - false:

(the angles on the same side but opposite side of the base are not congruent)

hope this .

r3t40