Answer:
21.7 years
Step-by-step explanation:
[tex]h=62.5 \sqrt[3]{t} +75.8\\ [/tex][tex]\sqrt[3]{t} +75.8[/tex]
h = 250 centimeters.
[tex]250=62.5\sqrt[3]{t} +75.8[/tex]
Subtract 75.8 on both sides to isolate the cubed root.
[tex]174.2=62.5\sqrt[3]{t} [/tex]
Divide both sides by 62.5. 62.5 will cancel out.
[tex]\frac{174.2}{62.5} =\frac{62.5\sqrt[3]{t} }{62.5} [/tex]
[tex]2.7872 = \sqrt[3]{t} [/tex]
Square both sides by three to cancel the cube root.
[tex](2.7872)^{3} =(\sqrt[3]{t})^{3} [/tex]
[tex]21.6523=t[/tex]
Round to the nearest tenth.
[tex]t=21.7[/tex]
