{"id":10005,"date":"2026-04-19T01:31:49","date_gmt":"2026-04-19T06:31:49","guid":{"rendered":"https:\/\/www.ezcalculatoronline.com\/?page_id=10005"},"modified":"2026-05-09T21:52:04","modified_gmt":"2026-05-10T02:52:04","slug":"doubling-time-calculator","status":"publish","type":"page","link":"https:\/\/www.ezcalculatoronline.com\/math\/doubling-time-calculator\/","title":{"rendered":"Doubling Time Calculator"},"content":{"rendered":"<div id=\"tdi_1\" class=\"tdc-zone\"><div class=\"tdc_zone tdi_2  wpb_row td-pb-row\"  >\n<style scoped>\n\n\/* custom css *\/\n.tdi_2{\r\n                    min-height: 0;\r\n                }\n<\/style><div id=\"tdi_3\" class=\"tdc-row\"><div class=\"vc_row tdi_4  wpb_row td-pb-row\" >\n<style scoped>\n\n\/* custom css *\/\n.tdi_4,\r\n                .tdi_4 .tdc-columns{\r\n                    min-height: 0;\r\n                }.tdi_4,\r\n\t\t\t\t.tdi_4 .tdc-columns{\r\n\t\t\t\t    display: block;\r\n\t\t\t\t}.tdi_4 .tdc-columns{\r\n\t\t\t\t    width: 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p{\r\n        font-size:14px;\r\n        line-height:1.6;\r\n      }\r\n\r\n      .dtc-body{\r\n        padding:16px;\r\n      }\r\n\r\n      .dtc-grid{\r\n        grid-template-columns:1fr;\r\n        gap:16px;\r\n      }\r\n\r\n      .dtc-method-box{\r\n        padding:14px;\r\n      }\r\n\r\n      .dtc-method-title{\r\n        font-size:14px;\r\n        margin-bottom:12px;\r\n      }\r\n\r\n      .dtc-method-grid{\r\n        grid-template-columns:1fr;\r\n        gap:10px;\r\n      }\r\n\r\n      .dtc-method-option{\r\n        padding:12px;\r\n        font-size:14px;\r\n      }\r\n\r\n      .dtc-label{\r\n        font-size:14px;\r\n      }\r\n\r\n      .dtc-input,\r\n      .dtc-select{\r\n        padding:13px 14px;\r\n        font-size:16px;\r\n      }\r\n\r\n      .dtc-actions{\r\n        display:grid;\r\n        grid-template-columns:1fr;\r\n        gap:10px;\r\n        margin-top:20px;\r\n      }\r\n\r\n      .dtc-btn{\r\n        width:100%;\r\n        padding:14px 18px;\r\n        font-size:16px;\r\n      }\r\n\r\n      .dtc-error{\r\n        font-size:14px;\r\n      }\r\n\r\n      .dtc-result{\r\n        margin-top:22px;\r\n        padding:16px;\r\n      }\r\n\r\n      .dtc-result h2{\r\n        font-size:20px;\r\n      }\r\n\r\n      .dtc-result-desc{\r\n        font-size:14px;\r\n      }\r\n\r\n      .dtc-result-grid{\r\n        grid-template-columns:1fr;\r\n        gap:12px;\r\n      }\r\n\r\n      .dtc-result-item{\r\n        padding:16px;\r\n      }\r\n\r\n      .dtc-result-value{\r\n        font-size:22px;\r\n      }\r\n\r\n      .dtc-box{\r\n        margin-top:20px;\r\n        padding:16px;\r\n      }\r\n\r\n      .dtc-box h3{\r\n        font-size:17px;\r\n      }\r\n\r\n      .dtc-box p,\r\n      .dtc-list{\r\n        font-size:14px;\r\n      }\r\n\r\n      .dtc-note{\r\n        font-size:13px;\r\n      }\r\n    }<\/style><div class=\"ez-tool-wrapper ez-doubling-time-calculator\"><div class=\"dtc-wrap\">\r\n    <div class=\"dtc-card\">\r\n      <div class=\"dtc-header\">\r\n        <h1>Doubling Time Calculator<\/h1>\r\n        <p>Calculate how long it takes for a value to double based on an annual growth rate using the exact formula, Rule of 70, or Rule of 72.<\/p>\r\n      <\/div>\r\n\r\n      <div class=\"dtc-body\">\r\n        <div class=\"dtc-grid\">\r\n          <div class=\"dtc-full\">\r\n            <div class=\"dtc-method-box\">\r\n              <div class=\"dtc-method-title\">Choose Calculation Method<\/div>\r\n              <div class=\"dtc-method-grid\">\r\n                <label class=\"dtc-method-option\">\r\n                  <input type=\"radio\" name=\"method\" value=\"exact\" checked>\r\n                  <span>Exact Formula<\/span>\r\n                <\/label>\r\n\r\n                <label class=\"dtc-method-option\">\r\n                  <input type=\"radio\" name=\"method\" value=\"rule70\">\r\n                  <span>Rule of 70<\/span>\r\n                <\/label>\r\n\r\n                <label class=\"dtc-method-option\">\r\n                  <input type=\"radio\" name=\"method\" value=\"rule72\">\r\n                  <span>Rule of 72<\/span>\r\n                <\/label>\r\n              <\/div>\r\n            <\/div>\r\n          <\/div>\r\n\r\n          <div class=\"dtc-field\">\r\n            <label class=\"dtc-label\" for=\"growthRate\">Annual Growth Rate (%)<\/label>\r\n            <input class=\"dtc-input\" type=\"number\" id=\"growthRate\" placeholder=\"Enter growth rate\" step=\"0.01\" inputmode=\"decimal\">\r\n          <\/div>\r\n\r\n          <div class=\"dtc-field\">\r\n            <label class=\"dtc-label\" for=\"decimalPlaces\">Decimal Places<\/label>\r\n            <select class=\"dtc-select\" id=\"decimalPlaces\">\r\n              <option value=\"0\">0<\/option>\r\n              <option value=\"1\">1<\/option>\r\n              <option value=\"2\" selected>2<\/option>\r\n              <option value=\"3\">3<\/option>\r\n              <option value=\"4\">4<\/option>\r\n            <\/select>\r\n          <\/div>\r\n        <\/div>\r\n\r\n        <div class=\"dtc-actions\">\r\n          <button class=\"dtc-btn dtc-btn-primary\" onclick=\"calculateDoublingTime()\">Calculate<\/button>\r\n          <button class=\"dtc-btn dtc-btn-secondary\" onclick=\"resetCalculator()\">Reset<\/button>\r\n        <\/div>\r\n\r\n        <div id=\"errorBox\" class=\"dtc-error\"><\/div>\r\n\r\n        <div id=\"resultBox\" class=\"dtc-result\">\r\n          <h2>Calculation Result<\/h2>\r\n          <p id=\"resultDescription\" class=\"dtc-result-desc\"><\/p>\r\n\r\n          <div class=\"dtc-result-grid\">\r\n            <div class=\"dtc-result-item\">\r\n              <div class=\"dtc-result-label\">Doubling Time<\/div>\r\n              <div class=\"dtc-result-value\" id=\"doublingYears\">-<\/div>\r\n            <\/div>\r\n\r\n            <div class=\"dtc-result-item\">\r\n              <div class=\"dtc-result-label\">In Months<\/div>\r\n              <div class=\"dtc-result-value\" id=\"doublingMonths\">-<\/div>\r\n            <\/div>\r\n\r\n            <div class=\"dtc-result-item\">\r\n              <div class=\"dtc-result-label\">Growth Rate Used<\/div>\r\n              <div class=\"dtc-result-value\" id=\"growthRateDisplay\">-<\/div>\r\n            <\/div>\r\n          <\/div>\r\n\r\n          <div class=\"dtc-box\">\r\n            <h3>Formula Used<\/h3>\r\n            <p id=\"formulaText\"><\/p>\r\n            <p id=\"formulaDetail\"><\/p>\r\n          <\/div>\r\n        <\/div>\r\n\r\n        <div class=\"dtc-box\">\r\n          <h3>About Doubling Time<\/h3>\r\n          <p>\r\n            Doubling time is the amount of time required for a quantity to grow to twice its original size at a constant growth rate.\r\n          <\/p>\r\n          <p>\r\n            The exact formula is:\r\n            <span class=\"dtc-formula\">Doubling Time = ln(2) \/ ln(1 + r)<\/span>,\r\n            where <strong>r<\/strong> is the growth rate in decimal form.\r\n          <\/p>\r\n          <p>\r\n            The Rule of 70 and Rule of 72 are quick estimation methods:\r\n          <\/p>\r\n          <ul class=\"dtc-list\">\r\n            <li><strong>Rule of 70:<\/strong> Doubling Time \u2248 70 \/ growth rate (%)<\/li>\r\n            <li><strong>Rule of 72:<\/strong> Doubling Time \u2248 72 \/ growth rate (%)<\/li>\r\n          <\/ul>\r\n          <div class=\"dtc-note\">\r\n            The exact formula is more accurate, while Rule of 70 and Rule of 72 are useful for fast estimates in finance, economics, population growth, and investing.\r\n          <\/div>\r\n        <\/div>\r\n      <\/div>\r\n    <\/div>\r\n  <\/div><\/div><script type=\"text\/javascript\">function calculateDoublingTime() {\r\n      const growthRateInput = document.getElementById(\"growthRate\").value.trim();\r\n      const decimalPlaces = parseInt(document.getElementById(\"decimalPlaces\").value, 10);\r\n      const method = document.querySelector('input[name=\"method\"]:checked').value;\r\n\r\n      const errorBox = document.getElementById(\"errorBox\");\r\n      const resultBox = document.getElementById(\"resultBox\");\r\n\r\n      errorBox.style.display = \"none\";\r\n      errorBox.textContent = \"\";\r\n      resultBox.classList.remove(\"show\");\r\n\r\n      const growthRate = parseFloat(growthRateInput);\r\n\r\n      if (growthRateInput === \"\" || isNaN(growthRate)) {\r\n        showError(\"Please enter a valid annual growth rate.\");\r\n        return;\r\n      }\r\n\r\n      if (growthRate <= 0) {\r\n        showError(\"Growth rate must be greater than 0%.\");\r\n        return;\r\n      }\r\n\r\n      let doublingYears = 0;\r\n      let formulaText = \"\";\r\n      let formulaDetail = \"\";\r\n\r\n      if (method === \"exact\") {\r\n        const rateDecimal = growthRate \/ 100;\r\n        doublingYears = Math.log(2) \/ Math.log(1 + rateDecimal);\r\n        formulaText = \"Doubling Time = ln(2) \/ ln(1 + r)\";\r\n        formulaDetail = \"Using the exact formula with r = \" + rateDecimal.toFixed(6);\r\n      } else if (method === \"rule70\") {\r\n        doublingYears = 70 \/ growthRate;\r\n        formulaText = \"Doubling Time \u2248 70 \/ Growth Rate (%)\";\r\n        formulaDetail = \"Using Rule of 70: 70 \/ \" + growthRate + \" = \" + doublingYears.toFixed(decimalPlaces);\r\n      } else if (method === \"rule72\") {\r\n        doublingYears = 72 \/ growthRate;\r\n        formulaText = \"Doubling Time \u2248 72 \/ Growth Rate (%)\";\r\n        formulaDetail = \"Using Rule of 72: 72 \/ \" + growthRate + \" = \" + doublingYears.toFixed(decimalPlaces);\r\n      }\r\n\r\n      const doublingMonths = doublingYears * 12;\r\n\r\n      document.getElementById(\"doublingYears\").textContent =\r\n        doublingYears.toFixed(decimalPlaces) + \" years\";\r\n\r\n      document.getElementById(\"doublingMonths\").textContent =\r\n        doublingMonths.toFixed(decimalPlaces) + \" months\";\r\n\r\n      document.getElementById(\"growthRateDisplay\").textContent =\r\n        growthRate.toFixed(decimalPlaces) + \"%\";\r\n\r\n      document.getElementById(\"formulaText\").textContent = formulaText;\r\n      document.getElementById(\"formulaDetail\").textContent = formulaDetail;\r\n\r\n      document.getElementById(\"resultDescription\").textContent =\r\n        \"At an annual growth rate of \" +\r\n        growthRate.toFixed(decimalPlaces) +\r\n        \"%, the value will double in approximately \" +\r\n        doublingYears.toFixed(decimalPlaces) +\r\n        \" years.\";\r\n\r\n      resultBox.classList.add(\"show\");\r\n    }\r\n\r\n    function resetCalculator() {\r\n      document.getElementById(\"growthRate\").value = \"\";\r\n      document.getElementById(\"decimalPlaces\").value = \"2\";\r\n      document.querySelector('input[name=\"method\"][value=\"exact\"]').checked = true;\r\n\r\n      const errorBox = document.getElementById(\"errorBox\");\r\n      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1.4rem;\">\u2728<\/span> You Might Also Like<\/h4><div id=\"ez-grid-6ab316169726c\" class=\"ez-recommend-grid\"><a href=\"https:\/\/www.ezcalculatoronline.com\/math\/complex-number-calculator\/\" class=\"ez-recommend-item\"><svg class=\"ez-recommend-icon\" viewBox=\"0 0 24 24\"><path d=\"M19 19H5V5h7V3H5a2 2 0 00-2 2v14a2 2 0 002 2h14c1.1 0 2-.9 2-2v-7h-2v7zM14 3v2h3.59l-9.83 9.83 1.41 1.41L19 6.41V10h2V3h-7z\"\/><\/svg>Complex Number Calculator<\/a><a href=\"https:\/\/www.ezcalculatoronline.com\/memory\/\" class=\"ez-recommend-item\"><svg class=\"ez-recommend-icon\" viewBox=\"0 0 24 24\"><path d=\"M19 19H5V5h7V3H5a2 2 0 00-2 2v14a2 2 0 002 2h14c1.1 0 2-.9 2-2v-7h-2v7zM14 3v2h3.59l-9.83 9.83 1.41 1.41L19 6.41V10h2V3h-7z\"\/><\/svg>Memory<\/a><a href=\"https:\/\/www.ezcalculatoronline.com\/health\/protein-calculator\/\" class=\"ez-recommend-item\"><svg class=\"ez-recommend-icon\" viewBox=\"0 0 24 24\"><path d=\"M19 19H5V5h7V3H5a2 2 0 00-2 2v14a2 2 0 002 2h14c1.1 0 2-.9 2-2v-7h-2v7zM14 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                  btn.innerHTML = \"Show Less \" + upArrow;\n                            } else {\n                                grid.classList.remove(\"ez-expanded\");\n                                btn.innerHTML = \"View More \" + downArrow;\n                            }\n                        });\n                    }\n                });\n                <\/script>\n                <\/div>\n<\/div><\/div><div class=\"wpb_wrapper wpb_text_column td_block_wrap td_block_wrap vc_column_text tdi_8  tagdiv-type td-pb-border-top td_block_template_1\"  data-td-block-uid=\"tdi_8\" ><div class=\"td-block-title-wrap\"><\/div><div class=\"td-fix-index\"><p data-start=\"161\" data-end=\"422\"><strong data-start=\"161\" data-end=\"189\">Doubling Time Calculator<\/strong> helps you estimate how long it takes for a value to double based on a fixed annual growth rate. It is useful for finance, investing, economics, business forecasting, population studies, and any situation where steady growth matters.<\/p>\n<p data-start=\"424\" data-end=\"668\">This calculator supports three common methods: the <strong data-start=\"475\" data-end=\"492\">Exact Formula<\/strong>, <strong data-start=\"494\" data-end=\"508\">Rule of 70<\/strong>, and <strong data-start=\"514\" data-end=\"528\">Rule of 72<\/strong>. The exact formula provides more accurate results, while the Rule of 70 and Rule of 72 are simple shortcuts often used for quick estimates.<\/p>\n<p data-start=\"670\" data-end=\"850\">Whether you want to understand how fast an investment may grow, how quickly costs can rise, or how long a population may take to double, this tool gives you a fast and easy answer.<\/p>\n<h2 data-section-id=\"peqbl9\" data-start=\"852\" data-end=\"865\"><strong>How to Use<\/strong><\/h2>\n<p data-start=\"867\" data-end=\"912\">Using the Doubling Time Calculator is simple:<\/p>\n<ol data-start=\"914\" data-end=\"1618\">\n<li data-section-id=\"1auarh2\" data-start=\"914\" data-end=\"1135\"><strong data-start=\"917\" data-end=\"948\">Choose a calculation method<\/strong><br data-start=\"948\" data-end=\"951\" \/>Select one of the available methods:\n<ul data-start=\"994\" data-end=\"1135\">\n<li data-section-id=\"1aiebn9\" data-start=\"994\" data-end=\"1042\"><strong data-start=\"996\" data-end=\"1013\">Exact Formula<\/strong> for the most accurate result<\/li>\n<li data-section-id=\"1kyxe9t\" data-start=\"1046\" data-end=\"1083\"><strong data-start=\"1048\" data-end=\"1062\">Rule of 70<\/strong> for a quick estimate<\/li>\n<li data-section-id=\"1w660xw\" data-start=\"1087\" data-end=\"1135\"><strong data-start=\"1089\" data-end=\"1103\">Rule of 72<\/strong> for a common financial shortcut<\/li>\n<\/ul>\n<\/li>\n<li data-section-id=\"16xdi2z\" data-start=\"1137\" data-end=\"1264\"><strong data-start=\"1140\" data-end=\"1172\">Enter the annual growth rate<\/strong><br data-start=\"1172\" data-end=\"1175\" \/>Type the yearly growth rate as a percentage, such as <strong data-start=\"1231\" data-end=\"1236\">5<\/strong> for 5% or <strong data-start=\"1247\" data-end=\"1254\">8.5<\/strong> for 8.5%.<\/li>\n<li data-section-id=\"10ks2ra\" data-start=\"1266\" data-end=\"1360\"><strong data-start=\"1269\" data-end=\"1294\">Select decimal places<\/strong><br data-start=\"1294\" data-end=\"1297\" \/>Choose how many decimal places you want in the final result.<\/li>\n<li data-section-id=\"1849odp\" data-start=\"1362\" data-end=\"1523\"><strong data-start=\"1365\" data-end=\"1386\">Click \u201cCalculate\u201d<\/strong><br data-start=\"1386\" data-end=\"1389\" \/>The calculator will instantly show:\n<ul data-start=\"1431\" data-end=\"1523\">\n<li data-section-id=\"14xtoqe\" data-start=\"1431\" data-end=\"1455\">Doubling time in years<\/li>\n<li data-section-id=\"15yto8l\" data-start=\"1459\" data-end=\"1486\">Equivalent time in months<\/li>\n<li data-section-id=\"kve8yb\" data-start=\"1490\" data-end=\"1523\">The formula used for the result<\/li>\n<\/ul>\n<\/li>\n<li data-section-id=\"1uvnft7\" data-start=\"1525\" data-end=\"1618\"><strong data-start=\"1528\" data-end=\"1545\">Click \u201cReset\u201d<\/strong><br data-start=\"1545\" data-end=\"1548\" \/>Use the reset button to clear the form and start a new calculation.<\/li>\n<\/ol>\n<h2 data-section-id=\"1c54mul\" data-start=\"1620\" data-end=\"1630\"><strong>Example<\/strong><\/h2>\n<p data-start=\"1632\" data-end=\"1817\">If the annual growth rate is <strong data-start=\"1661\" data-end=\"1667\">7%<\/strong>, the doubling time is approximately <strong data-start=\"1704\" data-end=\"1716\">10 years<\/strong> using the Rule of 70. With the exact formula, the result may be slightly different and more precise.<\/p>\n<h2 data-section-id=\"5exh9j\" data-start=\"1819\" data-end=\"1857\"><strong>Why Use a Doubling Time Calculator?<\/strong><\/h2>\n<p data-start=\"1859\" data-end=\"1883\">This tool is useful for:<\/p>\n<ul data-start=\"1884\" data-end=\"2106\">\n<li data-section-id=\"fbex4f\" data-start=\"1884\" data-end=\"1938\">Estimating how long an investment may take to double<\/li>\n<li data-section-id=\"16i2sd2\" data-start=\"1939\" data-end=\"1980\">Comparing different annual growth rates<\/li>\n<li data-section-id=\"14y0v7x\" data-start=\"1981\" data-end=\"2035\">Understanding inflation or business growth over time<\/li>\n<li data-section-id=\"1uhbfli\" data-start=\"2036\" data-end=\"2106\">Learning the difference between exact and estimated doubling methods<\/li>\n<\/ul>\n<h2 data-section-id=\"1hdaxqj\" data-start=\"2108\" data-end=\"2118\"><strong>Formula<\/strong><\/h2>\n<p data-start=\"2120\" data-end=\"2155\">The exact doubling time formula is:<\/p>\n<p data-start=\"2157\" data-end=\"2194\"><strong data-start=\"2157\" data-end=\"2194\">Doubling Time = ln(2) \/ ln(1 + r)<\/strong><\/p>\n<p data-start=\"2196\" data-end=\"2243\">Where <strong data-start=\"2202\" data-end=\"2207\">r<\/strong> is the growth rate in decimal form.<\/p>\n<p data-start=\"2245\" data-end=\"2269\">Quick estimate formulas:<\/p>\n<ul data-start=\"2270\" data-end=\"2347\">\n<li data-section-id=\"1sqcirx\" data-start=\"2270\" data-end=\"2308\"><strong data-start=\"2272\" data-end=\"2287\">Rule of 70:<\/strong> 70 \/ growth rate (%)<\/li>\n<li data-section-id=\"bwfmkt\" data-start=\"2309\" data-end=\"2347\"><strong data-start=\"2311\" data-end=\"2326\">Rule of 72:<\/strong> 72 \/ growth rate (%)<\/li>\n<\/ul>\n    <style>\n        @import url('https:\/\/fonts.googleapis.com\/css2?family=Inter:wght@400;500;600;700&display=swap');\n\n        .ez-faq-wrapper { \n            box-sizing: border-box; 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}\n        }\n    <\/style>\n\n    <div class=\"ez-faq-wrapper\" id=\"ez-faq-wrapper-10005\">\n                    <h2 class=\"ez-faq-header\">Frequently Asked Questions<\/h2>\n        \n        <div class=\"ez-faq-search-box\">\n            <span class=\"ez-faq-search-icon\">\ud83d\udd0d<\/span>\n            <input type=\"text\" class=\"ez-faq-search-input\" placeholder=\"Search FAQs...\" autocomplete=\"off\">\n        <\/div>\n\n        <div class=\"ez-faq-container\">\n                            <div class=\"ez-faq-item-front\">\n                    <button class=\"ez-faq-question-front\" aria-expanded=\"false\">\n                        <span class=\"ez-faq-question-text\">What is doubling time?<\/span>\n                        <span class=\"ez-faq-icon-front\">+<\/span>\n                    <\/button>\n                    <div class=\"ez-faq-answer-front\">\n                        <div class=\"ez-faq-answer-content-front\">\n                            <p>Doubling time is the amount of time required for a quantity to grow to twice its original value at a constant growth rate.<\/p>\n                        <\/div>\n                    <\/div>\n                <\/div>\n                            <div class=\"ez-faq-item-front\">\n                    <button class=\"ez-faq-question-front\" aria-expanded=\"false\">\n                        <span class=\"ez-faq-question-text\">What is the Rule of 70?<\/span>\n                        <span class=\"ez-faq-icon-front\">+<\/span>\n                    <\/button>\n                    <div class=\"ez-faq-answer-front\">\n                        <div class=\"ez-faq-answer-content-front\">\n                            <p>The Rule of 70 is a quick way to estimate doubling time by dividing 70 by the annual growth rate:<br \/>\nDoubling Time \u2248 70 \/ growth rate (%)<\/p>\n                        <\/div>\n                    <\/div>\n                <\/div>\n                            <div class=\"ez-faq-item-front\">\n                    <button class=\"ez-faq-question-front\" aria-expanded=\"false\">\n                        <span class=\"ez-faq-question-text\">What is the Rule of 72?<\/span>\n                        <span class=\"ez-faq-icon-front\">+<\/span>\n                    <\/button>\n                    <div class=\"ez-faq-answer-front\">\n                        <div class=\"ez-faq-answer-content-front\">\n                            <p>The Rule of 72 is another simple estimation used in finance:<br \/>\nDoubling Time \u2248 72 \/ growth rate (%)<br \/>\nIt is especially useful for interest rates and investments.<\/p>\n                        <\/div>\n                    <\/div>\n                <\/div>\n                            <div class=\"ez-faq-item-front\">\n                    <button class=\"ez-faq-question-front\" aria-expanded=\"false\">\n                        <span class=\"ez-faq-question-text\">Which method is more accurate?<\/span>\n                        <span class=\"ez-faq-icon-front\">+<\/span>\n                    <\/button>\n                    <div class=\"ez-faq-answer-front\">\n                        <div class=\"ez-faq-answer-content-front\">\n                            <p>The exact formula is the most accurate because it uses logarithms.<br \/>\nThe Rule of 70 and Rule of 72 are approximations for quick calculations.<\/p>\n                        <\/div>\n                    <\/div>\n                <\/div>\n                            <div class=\"ez-faq-item-front\">\n                    <button class=\"ez-faq-question-front\" aria-expanded=\"false\">\n                        <span class=\"ez-faq-question-text\">Where is doubling time used?<\/span>\n                        <span class=\"ez-faq-icon-front\">+<\/span>\n                    <\/button>\n                    <div class=\"ez-faq-answer-front\">\n                        <div class=\"ez-faq-answer-content-front\">\n                            <p>Doubling time is commonly used in:<\/p>\n<p>- Investing and compound interest<br \/>\n- Business growth analysis<br \/>\n- Population studies<br \/>\n- Inflation calculations<\/p>\n                        <\/div>\n                    <\/div>\n                <\/div>\n                            <div class=\"ez-faq-item-front\">\n                    <button class=\"ez-faq-question-front\" aria-expanded=\"false\">\n                        <span class=\"ez-faq-question-text\">Can doubling time change over time?<\/span>\n                        <span class=\"ez-faq-icon-front\">+<\/span>\n                    <\/button>\n                    <div class=\"ez-faq-answer-front\">\n                        <div class=\"ez-faq-answer-content-front\">\n                            <p>Yes. If the growth rate changes, the doubling time will also change.<\/p>\n                        <\/div>\n                    <\/div>\n                <\/div>\n                    <\/div>\n        \n        <div class=\"ez-faq-no-results\">\n            No matching FAQs found.\n        <\/div>\n    <\/div>\n\n    <script>\n        document.addEventListener('DOMContentLoaded', function() {\n            const wrapper = document.getElementById('ez-faq-wrapper-10005');\n            if (!wrapper) return;\n\n            const faqItems = wrapper.querySelectorAll('.ez-faq-item-front');\n            const searchInput = wrapper.querySelector('.ez-faq-search-input');\n            const noResults = wrapper.querySelector('.ez-faq-no-results');\n            \n            faqItems.forEach(item => {\n                const questionBtn = item.querySelector('.ez-faq-question-front');\n                \n                questionBtn.addEventListener('click', () => {\n                    const isActive = item.classList.contains('active');\n                    const answer = item.querySelector('.ez-faq-answer-front');\n                    \n                    faqItems.forEach(otherItem => {\n                        otherItem.classList.remove('active');\n                        otherItem.querySelector('.ez-faq-question-front').setAttribute('aria-expanded', 'false');\n                        otherItem.querySelector('.ez-faq-answer-front').style.maxHeight = null;\n                    });\n\n                    if (!isActive) {\n                        item.classList.add('active');\n                        questionBtn.setAttribute('aria-expanded', 'true');\n                        answer.style.maxHeight = answer.scrollHeight + \"px\";\n                    }\n                });\n            });\n\n            if (searchInput) {\n                searchInput.addEventListener('input', function() {\n                    const searchTerm = this.value.toLowerCase().trim();\n                    let hasVisibleItems = false;\n\n                    faqItems.forEach(item => {\n                        const questionText = item.querySelector('.ez-faq-question-text').textContent.toLowerCase();\n                        const answerText = item.querySelector('.ez-faq-answer-content-front').textContent.toLowerCase();\n\n                        if (questionText.includes(searchTerm) || answerText.includes(searchTerm)) {\n                            item.style.display = 'block';\n                            hasVisibleItems = true;\n                        } else {\n                            item.style.display = 'none';\n                            item.classList.remove('active');\n                            item.querySelector('.ez-faq-question-front').setAttribute('aria-expanded', 'false');\n                            item.querySelector('.ez-faq-answer-front').style.maxHeight = null;\n                        }\n                    });\n\n                    noResults.style.display = (!hasVisibleItems) ? 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