Last year, Goran opened an investment account with 5600. At the end of the year, the amount in the account had increased by 23.5% . How much is this increase in dollars? How much money was in his account at the end of last year?

a) 1316 dollars

b) 6916 dollars

Step-by-step explanation:

Last year, Goran opened an investment account with 5600. At the end of the year, the amount in the account had increased by 23.5% .

a) How much is this increase in dollars?

The increase on dollars is calculated as:

5600 × 23.5%

= 1316 dollars

b) How much money was in his account at the end of last year ?

The amount of money in his account at the end of last year is calculated as:

Increase + Initial amount invested

=( 1316 + 5600) dollars

= 6916 dollars

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

i'm assuming that it's c.)   volcanoes built the mountains and earthquakes tore them down.