Question

Please solve this for me thank you!

Answer 1

Answer:

620.14

Step-by-step explanation:

Original Equation:

$\frac{4y}{1.025^4}+y-2y(1.05)^2=1500$

Calculate exponents

$\frac{4y}{1.103812890625}+y-2y(1.1025)=1500$

Simplify:

$3.6238025791990193084270042653997y + y - 2.205y = 1500$

Add like terms

$2.4188025791990193084270042653997y \approx 1500$

Divide both sides by 7.012

$y\approx 213.91$$y\approx620.14$

Answer 2

Answer:

y = $620.14 (nearest cent)

Step-by-step explanation:

Given equation:

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

Factor out y from the left side:

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

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

Calculate the exponents:

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

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:

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

$\implies y=\ 620.141558...$

Therefore, y = $620.14 (nearest cent)