<prompt> Bala palo ea likhoeli tseo u tla li nka ho eketsa chelete e habeli akhaonteng ea banka e fumanang tsoala ea 6.nan  <response>: Instruction in English: Calculate the number of months it will take to double the amount of money in a bank account that earns an annual 6 interest rate. . Response in English: To calculate the number of months it will take to double the amount of money in a bank account that earns an annual 6 interest rate, we can use the formula for the future value of an investment, compounded monthly, which is: FV PV 1 rn nt, where FV is the future value, PV is the present value, r is the interest rate, n is the number of times the interest is compounded per unit time in this case months and t is the time in years.Since we want to find the number of months to double the money, we can assume FV 2 PV, so our equation will be like this:2 PV PV 1 0.0612 12tLets solve for t:2 PV PV 1 0.0612 12t 2 1 0.0612 12tTo find t, we implement logarithms on both sides:ln2 ln1 0.0612 12tln2 12t ln1 0.0612t ln2 12 ln1 0.0612t 11.49.Therefore, it will take approximately 11.49 years or about 138 months to double the amount of money in a bank account that earns an annual 6 interest rate. . Response in Sesotho: Ho bala palo ea likhoeli ho tla nka ho imena habeli akhaonteng ea banka e fumanang tsoala ea selemo le selemo ea 6, re ka sebelisa foromo ea boleng ba nako e tlang ea letsete, e kopantsoeng khoeli le khoeli, e leng: FV PV 1 rn nt, moo FV e leng boleng ba nako e tlang, PV ke boleng ba hona jwale, r ke sekgahla sa tswala, n ke palo ya makgetlo ao phaello e kopanngwang ka ona yuniti e nngwe le e nngwe. nako tabeng ena likhoeli me t ke nako ea lilemo. Kaha re batla ho fumana palo ea likhoeli ho etsa chelete habeli, re ka nka FV 2 PV, kahoo equation ea rona e tla ba tjena: 2 PV PV 1 0.0612 12 t Ha re rarolleng t: 2 PV PV 1 0.0612 12t 2 1 0.0612 12t Ho fumana t, re kenya li-logarithm mahlakoreng ka bobeli: ln2 ln1 0.0612 12t ln2 12t ln 1 0.0612 t ln2 12 ln1 0.0612 t 11.49. Ka hona, ho tla nka lilemo tse ka bang 11.49 kapa likhoeli tse ka bang 138 ho etsa chelete e imenne habeli akhaonteng ea banka e fumanang phaello ea selemo ea 6. 