$600 principal earning 7%, compounded monthly, after 19 years

$2,259.71

Step-by-step explanation:

(refer to attached)

the formula for compound interest is:

A = P [ 1 + (r/n) ] ^ (nt)

Where,

A = final amount

P = principal amount (given as $600)

r = interest rate = 7% = 0.07

n = 12 (because compounded monthly)

t = time elapsed (given as 19 years)

Substituting these into our equation,

A = P [ 1 + (r/n) ] ^ (nt)

A = 600 [ 1 + (0.07/12) ] ^ [(12)(19)]

A = 600 [ 1 + 0.005833 ] ^ 228

A = 600 [ 1.005833 ] ^ 228

A = 600 [ 3.7662 ]

A = $2,259.71

your answer is d 2,500

step-by-step explanation:

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).