Respuesta :
Answer:
10years
Step-by-step explanation:
100%+100%=double
100/10=10 years to reach 100% so after ten years you will have 200%/double
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[tex] \\ \large \purple{ \sf{Given→}} \\ [/tex]
- P (Principal) → 600$
- R (the annual rate) → 10% ,0.1
nd
- Time → years let be x
[tex] \sf{A = 2P} \\ \sf{A = 2 \times 600} \\ \sf{ A =\:1200} \\ \sf{cuz \: future \: value \: since \: the \: 600 \: will \: double \: itself}[/tex]
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[tex] \\ \large \purple { \sf{Formula \: used→}} \\ \\ \rm{A = P(1 + r \times t)}[/tex]
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→Substituting values
[tex]\rm{1200 = 600(1 + 0.1 \times x)} \\ \\ \rm{600(1 + 0.1 \times x) = 1200} \\ \\ \rm{1 + 0.1 \times x = \frac{1200}{600} } \\ \\ \rm{ 1 + 0.1 \times x = \cancel \frac{1200}{600} } \\ \\ \rm{1 + 0.1 \times x = 2} \\ \\ \rm{0.1 \times x = 2 - 1} \\ \\ \rm{x = 1 \times \frac{10}{1} } \\ \\ \rm{x =10 } [/tex]
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