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STatiana [176]
2 years ago
13

Judith puts $5000 into an investment account with interest compounded continuously. which approximate annual rate is needed for

the account to grow to $9110 after 30 years?
Business
1 answer:
Oxana [17]2 years ago
3 0
In the question, continuously should be annually.

Solution:
Applicable formula is;
A = P(1+r)^n

Where;
A = Total amount after 30 years = $9,110
P = Amount invested = $5,000
r = Annual interest rate in decimals
n = Number of years = 30

Substituting;
9110 = 5000(1+r)^30
9110/5000 = (1+r)^30
1.822 = (1+r)^30
Taking natural logs on both sides;
ln (1.822) = 30 ln (1+r)
0.5999 = 30 ln (1+r)
0.5999/30 = ln (1+r)
0.019998 = ln (1+r)
Taking exponents on both sides
e^0.019998 = 1+r
1.0202 = 1+r
r = 1.0202 -1 = 0.0202 =2.02%

Therefore, annual interest rate should be 2.02%.
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Ayala Architects incorporated as licensed architects on April 1, 2017. During the first month of the operation of the business,
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Answer: (1) journal Total Dr $27,282, Cr $27,282 (2) cash Account Dr: Total $21,823, Cr Balance c /d $19,613 Total $21,823, salary payable Total Dr $381, Cr $381,Account receivable Account Dr :Total $1,929 Cr Total $1,929, salary expense Account Dr Total $ 1,524 Cr: $1,524, common stock Total Dr : $18,270 Cr: Total $18,270, Supplies Account Total Dr : $1,320, Cr $1,320, Account Payable Total Dr :$1,320, Cr :Total $1,320, service revenue Total Dr : $4,771, Total Cr : $4,771, unearned revenue Total Dr :$712, Total Cr :$711, (3) Trial Balance Total Dr $24,767, Total Cr : $24,767

Explanation:

(1) The journal entry for the transaction will be

Apr 1 Dr : Cash $18,270, Cr : common stock $18,270

Apr1 Dr: salary payable$381,Cr: cash $381

Apr 2 No entry required

Apr 3 Dr : supplies $1,320, Cr : Account payable $1,320

Apr 10 Dr Account Receivable $1,929, Cr : service revenue $1,929

Apr 11 Dr cash$ 711,Cr: unearned revenue$ 711

Apr 20 Dr: Cash $2,842, Cr : service revenue $2,842

Apr 30 Dr : $ Account Payable $305 Cr : Cash $305

(2) The T Account will be

Cash Account

Dr common stock $18,270, unearned revenue $711, service revenue $2,842

Cr : salary payable $381, salary expense $1,524, Account payable $305,Bal c/d $19,613 Total Dr $21,823, Cr : $21,823

Salary payable Account

Dr : cash $381,Cr: Balance c/d $381 Total Dr $381,Cr :$381

Account Receivable Account

Dr: service revenue $1,929, Cr: Balance c/d $1,929 Total Dr $1,929, Cr $1,929

Salary expense Account

Dr: salary expense $1,524, Cr Balance c/d $1,524, Total Dr $1,524,Cr $1,524

Common Stock

Dr : Balance c /d $18,270, Cr :Cash $18,270 Total Dr $18,270, Cr $18,270

Supplies Account

Dr: Account payable $1,320, Cr Balance c /d $1,320, Total Dr $1,320, Cr $1,320

Account Payable

Dr: Cash $305,Balance c/d $1,015, Cr supplies $1,320, Total Dr $1,320, Cr $1,320

Service Revenue Account

Dr Balance c /d $4,771 Cr : Account Receivable $1,929, cash $2,842, Total Dr $4,771, Cr $4,771

Unearned Revenue Account

Balance c/d $711, Cr cash $711, Total Dr $711,Cr $711

(3) The trial balance as on 30/04/2017

Dr: Cash $19,613, salary payable $381, supplies $1,320, Account Receivable $1,929, salary expense $1,524 Total $24,767

Cr : Common Stock $18,270, Account Payable $1,015, service revenue $4,771, unearned revenue $711 Total $24,767

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