Please help with the steps thx:)

interest: 945,  FV: 6345

FV= 323711.4, Interest: 226211.4

25.21 years

Step-by-step explanation:

question 1:

simple interest formula

PV(1+it)

30 months is equal to 30/12 years or 2.5 (so t= 2.5)

5400(1+.07*2.5)= 6345

This is the future value, to find the interst subtract the present value

6345-5400= 945

2.)

future value of continously compounding interst:

PV(e^(it))

97500*e^(.06*20)= 323711.4

finding the interest is the same as the last one

323711.4-97500=226211.4

3.)

same formula

let x= time in years

i guess we can round this to 25.21

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

this is a good question! i’ll do some research and what i find, i’ll contact you asap when i have something! ✊