Ryan invests $500 today in an account earning 4%. How much will it be worth in 5 years? (Compound interests formula, n=1)

$608

Step-by-step explanation:

To find the amount that the investment will be worth in 5 years, you have to use the following formula:

FV= PV*(1+(r/n))^nt

FV= Final value

PV= Present value= $500

r= interest rate= 4% (0.04)

n= number of times that the interest is applied in a period= 1

t= number of time periods= 5

FV= 500*((1+(0.04/1))^(1*5)

FV= 500*(1.04)^5

FV= 500*1.216

FV= 608

The answer is that it will be worth $608 in 5 years.

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1

this linear equation would have just one solution.

step-by-step explanation:

the reason why this would have one solution is that it is an expression with just one variable. since that variable is not raised to a power, it will always have just one solution.