document.write( "Question 116300: I NEED HELP WITH THIS PROBLEM TUTORS. THANKS
\n" ); document.write( " THE FORMULA FOR CALCULATING THE AMOUNT OF MONEY RETURNED FOR AN INITIAL DEPOSIT INTO A BANK ACCOUNT OR CD )CERTIFICATE OF DEPOSIT) IS GIVEN BY
\n" ); document.write( "A=P[1+R/N]
\n" ); document.write( "A=AMOUNT OF THE RETURN
\n" ); document.write( "P=PRINCIPAL AMOUNT INITIALLY DEPOSITED
\n" ); document.write( "r=the annual interest rate (expressed as a decimal)
\n" ); document.write( "n=the number of compound periods in one year.
\n" ); document.write( "t= is the number of years.\r
\n" ); document.write( "\n" ); document.write( "CARRY ALL CALUCULATIONS TO SIX DECIMALS ON EACH INTERMEDIATE STEP, THEN ROUND THE FINAL ANSWER TO THE NEAREST CENT.\r
\n" ); document.write( "\n" ); document.write( "sUPPOSE YOU DEPOSIT $4,000 FOR 8 YEARS AT A RATE OF 7%\r
\n" ); document.write( "\n" ); document.write( "A) CALCULATE THE RETURN (A) IF THE BANK COMPOUNDS ANNUALLY (N=1). ROUND YOUR ANSWER TO THE HUNDRETH'S PLACE.
\n" ); document.write( "ANSWER:
\n" ); document.write( "SHOW YOUR WORK:\r
\n" ); document.write( "\n" ); document.write( "B) CALCULATE THE RETURN (A) IF THE BANK COMPOUNDS MONTHLY (N=12).ROUND YOU ANSWER TO THE NEAREST HUNDRETH'S PLACE.
\n" ); document.write( "ANSWER:
\n" ); document.write( "SHOW YOUR WORK:\r
\n" ); document.write( "\n" ); document.write( "C) DOES COMPOUNDING ANNUALLY OR MONTHLY YIELD MORE INTEREST? EXPLAIN WHY?
\n" ); document.write( "ANSWER:
\n" ); document.write( "SHOW YOUR WORK:\r
\n" ); document.write( "\n" ); document.write( "D) IF A BANK COMPOUNDS CONTINUOUSLY, THEN THE FORMULA USED IS A=Pe^rt
\n" ); document.write( " were e is a constant and equals approximatly 2.7183. Calculate A with continuous compounding. Round your answer to the hundreth's place.
\n" ); document.write( "answer:
\n" ); document.write( "show your work:\r
\n" ); document.write( "\n" ); document.write( "E) A COMMONLY ASKED QUESTION IS,\"HOW LONG WILL IT TAKE TO DOUBLE MY MONEY?\" AT 7% INTEREST RATE AND CONTINUOUS COMPOUNDING, WHAT IS THE ANSWER? ROUND YOUR ANSWER TO THE HUNDRETH'S PLACE.
\n" ); document.write( "ANSWER:
\n" ); document.write( "SHOW YOUR WORK.\r
\n" ); document.write( "\n" ); document.write( "NEED HELP ASAP. THANK YOU VERY MUCH TUTOR!!
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #84590 by MathLover1(20849)\"\" \"About 
You can put this solution on YOUR website!
\"A+=+P+%281+%2B+r%2Fn%29%5E%28nt%29\"\r
\n" ); document.write( "\n" ); document.write( "\"A\" is the amount of returned\r
\n" ); document.write( "\n" ); document.write( "\"P\" is the principal amount deposited\r
\n" ); document.write( "\n" ); document.write( "\"r\" is the annual interest rate (expressed as a decimal)\r
\n" ); document.write( "\n" ); document.write( "\"n\" is the compound period\r
\n" ); document.write( "\n" ); document.write( "\"t\" is the number of years\r
\n" ); document.write( "\n" ); document.write( "a)\r
\n" ); document.write( "\n" ); document.write( "\"n+=+1\" \r
\n" ); document.write( "\n" ); document.write( "\"P+=++4000+\"$\r
\n" ); document.write( "\n" ); document.write( "\"r\" = \"7\"%\r
\n" ); document.write( "\n" ); document.write( "\"t+=+8\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"A+=+P+%281+%2B+r%2Fn%29%5E%28nt%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"A+=+4000+%281+%2B+.07%2F1%29%5E%281%2A8%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"A+=++4000+%281+%2B+.07%29%5E8\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"A+=+4000+%281.07%29%5E8\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"A+=++4000+%281.72%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"A+=+%24+4000+%281.72%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"A+=+%24+6880\"…….$\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "b)\r
\n" ); document.write( "\n" ); document.write( "given:\r
\n" ); document.write( "\n" ); document.write( "\"n+=+12\" \r
\n" ); document.write( "\n" ); document.write( "\"P+=+4000+\"\r
\n" ); document.write( "\n" ); document.write( "\"r\" = \".07\"\r
\n" ); document.write( "\n" ); document.write( "\"t+=+8\"\r
\n" ); document.write( "\n" ); document.write( "\"A+=+P+%281+%2B+r%2Fn%29%5E%28nt%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"A+=++4000+%281+%2B+.07%2F12%29%5E%2812%2A8%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"A+=+4000+%281+%2B+.0058%29%5E96\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"A+=+4000+%281.+0058%29%5E96\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"A+=+4000+%281.74%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"A+=+4000+%281.74%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"A+=++6960\"…….$\r
\n" ); document.write( "\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( "c)\r
\n" ); document.write( "\n" ); document.write( "compounding monthly yield more interest; the more frequently an account pays interest, the faster you can start earning interest on interest\r
\n" ); document.write( "\n" ); document.write( "Compounded annually:\r
\n" ); document.write( "\n" ); document.write( "\"A+=+P+%281+%2B+r%2Fn%29%5E%28nt%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"A+=+4000+%281+%2B+.07%2F1%29%5E1\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"A+=+4000+%281.07%29%5E1\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"A+=+4000+%281.07%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"A+=+4280\" …….$\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "Compounded monthly: \r
\n" ); document.write( "\n" ); document.write( "\"A+=+P+%281+%2B+r%2Fn%29%5E%28nt%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"A+=+4000+%281+%2B+.07%2F12%29%5E12\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"A+=+4000+%281.07%29%5E12\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"A+=+4000+%282.52%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"A+=+10080\" …….$\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "d)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "let\r
\n" ); document.write( "\n" ); document.write( "\"P+=+4000+\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"r\" = \".07\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"t+=+8\"\r
\n" ); document.write( "\n" ); document.write( "answer:\r
\n" ); document.write( "\n" ); document.write( "\"A=Pe%5E%28rt%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"A=4000%282.7183%29%5E%28.07%2A8%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"A=4000%282.7183%29%5E%28+0.56%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"A=4000%281.75%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"A=+7000\"… …….$\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "e)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "let
\n" ); document.write( "\"P+=++4000+\"\r
\n" ); document.write( "\n" ); document.write( "if \"A=+7000\"… …….$.....double is \"2A=+14000\"… \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"r\" = \".07\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"t+=+t\"\r
\n" ); document.write( "\n" ); document.write( "answer:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"A=Pe%5E%28rt%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"e%5E%28rt%29+=+A%2FP\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28e%29%5E%28.07t%29+=+14000%2F4000\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28e%29%5E%28.07t%29+=+14%2F4\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28e%29%5E%28.07t%29+=+3.5\"\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "\"ln%28e%5E.07t%29+=+ln%283.5%29\" \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\".07t+=+1.253\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"t+=+1.253%2F.07\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"t+=+17.90\"..years\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
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