// Numbas version: finer_feedback_settings {"name": "Simon's copy of AER", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"extensions": [], "preamble": {"js": "", "css": ""}, "variable_groups": [], "metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": "
A savings account earns compound interest at 1.5% per month.
Calculate the equivalent annual rate of interest
rebelmaths
"}, "type": "question", "statement": "A savings account earns compound interest at a rate of $\\var{perc}$% per quarter.
Calculate the equivalent annual rate of interest.
Please give your answer as a percentage to two decimal places.
\n[[0]]%
", "gaps": [{"showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "allowFractions": false, "maxValue": "perc2+0.01", "type": "numberentry", "scripts": {}, "marks": "5", "minValue": "perc2-0.01", "showPrecisionHint": false, "variableReplacements": []}], "type": "gapfill", "scripts": {}, "marks": 0, "variableReplacements": []}], "name": "Simon's copy of AER", "advice": "The quarterly interest rate is $\\var{perc}$% per quarter. There are 4 quarters in one year so the equivalent annual rate of interest can be calculated as follows:
\n$i=(1+\\frac{\\var{perc}}{100})^{4}-1=\\var{apr2}-1=\\var{apr}$
\nTherefore the equivalent annual rate is $\\var{perc2}$%
\n", "contributors": [{"name": "Julie Crowley", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/113/"}, {"name": "Simon Thomas", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3148/"}]}]}], "contributors": [{"name": "Julie Crowley", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/113/"}, {"name": "Simon Thomas", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3148/"}]}