Suppose that P dollars in principal is invested for t years at the given interest rates with continuous compounding. Determine the amount that the investment is worth at the end of the given time period. =P$10,000, =t112 yr

(a) 1% interest

(b) 4% interest

(c) 4.5% interest

(a )$30648.54  (b)$882,346.73    (c)  $1,544,700.15

Step-by-step explanation:

Formula: , where P= principal , r=rate of interest, t= time

Given : P= $10,000, t = 112 years

(a) r = 1% = 0.01

Hence, Amount = $30,648.54

(b) r = 4% = 0.04

Hence, Amount = $882,346.73

(c) r = 4.5% = 0.045

Hence, Amount = $1,544,700.15

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .