] Mr. Santiago received a job with an annual salary of $51,000. He will receive a 1.5% increase every year. How much will Mr. Santiago make in 3 years?

He will make  $53,330

Step-by-step explanation:

In this question, we are tasked with calculating how much Mr Santiago will make in three years.

To calculate the future value of his earnings, we can use the formula for the future value of the salary

Mathematically, the FV = I(1 + r)^t

Where I is the initial amount of $51,000

r is the interest rate which is 1.5% = 1.5/100 = 0.015

t is the time in years which is 3 years

We plug these values into the equation above;

FV = 51,000(1+0.015)^3

FV = 51000(1.015)^3

FV = 53,329.59 which is $53,330 to the nearest whole dollars

probably the last option

step-by-step explanation:

< 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)