Question

In how many years will 600$ double itself at 10% simple interest?​

Answer 1

10years

Explanation:

100%+100%=double

100/10=10 years to reach 100% so after ten years you will have 200%/double

Answer 2

`\qquad \qquad \huge \pink {\sf{☁Answer☁}} \\ \\`

`\\ \large \purple{ \sf{Given→}} \\`

• P (Principal) → 600$
• R (the annual rate) → 10% ,0.1

nd

• Time → years let be x

`\sf{A = 2P} \\ \sf{A = 2 * 600} \\ \sf{ A =\:1200} \\ \sf{cuz \: future \: value \: since \: the \: 600 \: will \: double \: itself}`

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`\\ \large \purple { \sf{Formula \: used→}} \\ \\ \rm{A = P(1 + r * t)}`

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→Substituting values

`\rm{1200 = 600(1 + 0.1 * x)} \\ \\ \rm{600(1 + 0.1 * x) = 1200} \\ \\ \rm{1 + 0.1 * x = (1200)/(600) } \\ \\ \rm{ 1 + 0.1 * x = \cancel (1200)/(600) } \\ \\ \rm{1 + 0.1 * x = 2} \\ \\ \rm{0.1 * x = 2 - 1} \\ \\ \rm{x = 1 * (10)/(1) } \\ \\ \rm{x =10 }`

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`\sf{\:мѕнαcкεя\: ♪...}`