Magarite wants to take a trip to japan in 8 years. she knows she will need about $42000. how much should she deposit into an account now that pays 3.5% interest compounded daily, in order to meet her goal? round to the nearest dollar. a.$1026 b.$1706 c.$3781 d.$3174

The Principal amount which Magarite should deposit in her account is $ 3174  , Option D

Step-by-step explanation:

Given as :

The amount need for Japan trip = $ 42000

Let the principal amount deposited in account = $ P

The rate of interest = 3.5 % compounded daily

The time period  = 8 years

From compounded method

Amount = Principal ×

or, $ 42000 = $ P  ×

Or,  $ 42000 = $ P  ×

or , $ 42000 = $ P  × 1.323110

∴   P = $

i.e P = $ 31,743.392 ≈ $ 3174

Hence The Principal amount which Magarite should deposit in her account is $ 3174  ,  Answer  option D

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1

change of stock price/initial stock price on friday * total stock value = change of stock value

0.89/73.73 *x = 42.72

x=3539.04 = total stock value at initial stock price on friday .

total stock value at initial stock price on friday/ initial stock price on friday = number of shares

3539.04/73.73 = 48 shares

they own 48 shares of this stock