Please solve this for me thank you!

Question

asked Nov 5, 2023 153k views

2 Answers

Aldon · Answer 1 · 2023-11-06T15:12:11+0000

Answer:

y = $620.14 (nearest cent)

Explanation:

Given equation:

$(4y)/(1.025^4)+y-2y(1.05)^2=\$1,500$

Factor out y from the left side:

$\implies y\left((4)/(1.025^4)+1-2(1.05)^2\right)=\$1,500$

Carry out the arithmetic operations inside the parentheses by following the order of operations PEMDAS:

Calculate the exponents:

$\implies y\left((4)/(1.103812891...)+1-2(1.1025)\right)=\$1,500$

Carry out the multiplication and division from left to right:

$\implies y\left(3.623802579...+1-2.205\right)=\$1,500$

Carry out the addition and subtraction from left to right:

$\implies y\left(4.623802579...-2.205\right)=\$1,500$

$\implies y\left(2.418802579...\right)=\$1,500$

Finally, divide both sides by the coefficient of y to isolate y:

$\implies (y\left(2.418802579...\right))/(2.418802579...)=(\$1,500)/(2.418802579...)$

$\implies y=\$620.141558...$

Therefore, y = $620.14 (nearest cent)