Sam inherits $250,000, which he invests at a rate of 9% compounded annually. How much will Sam's investment be worth in 25 years?

the amount that should be worth in 25 years is $2,155,770

Step-by-step explanation:

The computation of the amount that should be worth in 25 years is shown below:

As we know that

Future value = Present value × (1 + rate of interest)^number of years  

= $250,000 × (1 + 0.09)^25

= $250,000 × 1.09^25

= $2,155,770

Hence, the amount that should be worth in 25 years is $2,155,770

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)