# Recent questions tagged rate

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Which method, is suitable for charging depreciation if the management does not want to increase burden on profits and loss account of depreciation and repair.
1 answer 12 views
Which method, is suitable for charging depreciation if the management does not want to increase burden on profits and loss account of depreciation and repair.&quot;In case of a long term asset, repair and maintenance expenses are expected to rise in later years than in earlier year&quot;. Which method, is s ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
A savings account was opened with an initial deposit of R24 000. Eighteen months later R7 000 was withdrawn from the account.
0 answers 8 views
A savings account was opened with an initial deposit of R24 000. Eighteen months later R7 000 was withdrawn from the account.A savings account was opened with an initial deposit of R24 000. Eighteen months later R7 000 was withdrawn from the account. Calculate how much money ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Tebogo made an initial deposit of R15 000 into an account that paid interest at $9,6 \%$ p.a., compounded quarterly.
0 answers 6 views
Tebogo made an initial deposit of R15 000 into an account that paid interest at $9,6 \%$ p.a., compounded quarterly.Tebogo made an initial deposit of R15 000 into an account that paid interest at $9,6 \%$ p.a., compounded quarterly. Six months later she withdrew R ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
The nominal interest rate of an investment is $12,35 \%$ p.a., compounded monthly. Calculate the effective interest rate.
0 answers 11 views
The nominal interest rate of an investment is $12,35 \%$ p.a., compounded monthly. Calculate the effective interest rate.The nominal interest rate of an investment is $12,35 \%$ p.a., compounded monthly. Calculate the effective interest rate. ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
A machine costs R25 000 in 2016 . Calculate the book value of the machine after 4 years if it depreciates at $9 \%$ p.a. according to the reducing balance method.
0 answers 6 views
A machine costs R25 000 in 2016 . Calculate the book value of the machine after 4 years if it depreciates at $9 \%$ p.a. according to the reducing balance method.A machine costs R25 000 in 2016 . Calculate the book value of the machine after 4 years if it depreciates at $9 \%$ p.a. according to the reducing b ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Mary deposited R25 000 into a savings account with an interest rate of $18 \%$ p.a., compounded monthly.
0 answers 10 views
Mary deposited R25 000 into a savings account with an interest rate of $18 \%$ p.a., compounded monthly.Mary deposited R25 000 into a savings account with an interest rate of $18 \%$ p.a., compounded monthly. Mary withdrew R8 000 from the account 2 yea ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Sipho invested R30 000 for 6 years. The investment earned interest at $12 \%$ p.a., compounded monthly for the first two years.
0 answers 6 views
Sipho invested R30 000 for 6 years. The investment earned interest at $12 \%$ p.a., compounded monthly for the first two years.Sipho invested R30 000 for 6 years. The investment earned interest at $12 \%$ p.a., compounded monthly for the first two years. There after the inte ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Nhlanhla made an initial deposit of R20 000 into an investment account that paid interest at the rate of $7,2 \%$ p.a., compounded quarterly.
0 answers 9 views
Nhlanhla made an initial deposit of R20 000 into an investment account that paid interest at the rate of $7,2 \%$ p.a., compounded quarterly.Nhlanhla made an initial deposit of R20 000 into an investment account that paid interest at the rate of $7,2 \%$ p.a., compounded quarterly. After ...
close
0 answers 11 views
Karabo bought a computer for R4 700 . The value of the computer depreciated at a rate of $18 \%$ p.a. Using the reducing-balance method, calculate the book value of the computer 4 years after it was bought.Karabo bought a computer for R4 700 . The value of the computer depreciated at a rate of $18 \%$ p.a. Using the reducing-balance method, calculate t ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Calculate the effective interest rate per annum if an investment earns interests at a rate of $11,5 \%$ p.a., compounded monthly.
0 answers 11 views
Calculate the effective interest rate per annum if an investment earns interests at a rate of $11,5 \%$ p.a., compounded monthly.Calculate the effective interest rate per annum if an investment earns interests at a rate of $11,5 \%$ p.a., compounded monthly. ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
What is compound interest?
1 answer 7 views
What is compound interest?What is compound interest? ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Your car can drive 300 miles on a tank of 15 gallons. How far can it drive on 40 gallons?
1 answer 11 views
Your car can drive 300 miles on a tank of 15 gallons. How far can it drive on 40 gallons?Your car can drive 300 miles on a tank of 15 gallons. How far can it drive on 40 gallons? ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Your car can drive 300 miles on a tank of 15 gallons. Express this as a rate.
1 answer 14 views
Your car can drive 300 miles on a tank of 15 gallons. Express this as a rate.Your car can drive 300 miles on a tank of 15 gallons. Express this as a rate. ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
What is a unit rate?
1 answer 19 views
What is a unit rate?What is a unit rate? ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Considering the last sentence, can we conclude that the number of "dropout factories" was originally 34 ?
1 answer 13 views
Considering the last sentence, can we conclude that the number of "dropout factories" was originally 34 ?A Seattle Times article on high school graduation rates reported &quot;The number of schools graduating 60 percent or fewer students in four years - s ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Suppose a stock drops in value by $60 \%$ one week, then increases in value the next week by $75 \%$. Is the value higher or lower than where it started?
1 answer 15 views
Suppose a stock drops in value by $60 \%$ one week, then increases in value the next week by $75 \%$. Is the value higher or lower than where it started?Suppose a stock drops in value by $60 \%$ one week, then increases in value the next week by $75 \%$. Is the value higher or lower than where it s ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
In the news, you hear "tuition is expected to increase by $7 \%$ next year." If tuition this year was $\ 1200$ per quarter, what will it be next year?
1 answer 18 views
In the news, you hear "tuition is expected to increase by $7 \%$ next year." If tuition this year was $\ 1200$ per quarter, what will it be next year?In the news, you hear &quot;tuition is expected to increase by $7 \%$ next year.&quot; If tuition this year was $\ 1200$ per quarter, what will i ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
James borrows $\ 10,000$ from the bank. By the time the loan is repaid, James has paid the bank $\ 10,400$. What does the additional $\ 400$ represent?
0 answers 59 views
James borrows $\ 10,000$ from the bank. By the time the loan is repaid, James has paid the bank $\ 10,400$. What does the additional $\ 400$ represent?James borrows $\ 10,000$ from the bank. By the time the loan is repaid, James has paid the bank $\ 10,400$. What does the additional $\ 400$ ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Use this information to update the error rate probability distribution and hence determine whether your advice needs amendment.
0 answers 37 views
Use this information to update the error rate probability distribution and hence determine whether your advice needs amendment.The senior partner in a local accountancy firm is concerned about the error rate amongst assessments issued by her office. A careful check over the pa ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Show that $\frac{1-\sqrt{2}}{3+2 \sqrt{2}}$ can be written as $7-5 \sqrt{2}$
1 answer 41 views
Show that $\frac{1-\sqrt{2}}{3+2 \sqrt{2}}$ can be written as $7-5 \sqrt{2}$Show that $\frac{1-\sqrt{2}}{3+2 \sqrt{2}}$ can be written as $7-5 \sqrt{2}$ ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Show that $\frac{5+2 \sqrt{3}}{2+\sqrt{3}}$ can be written as $4-\sqrt{3}$
1 answer 42 views
Show that $\frac{5+2 \sqrt{3}}{2+\sqrt{3}}$ can be written as $4-\sqrt{3}$Show that $\frac{5+2 \sqrt{3}}{2+\sqrt{3}}$ can be written as $4-\sqrt{3}$ ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
The real risk-free rate of return (RRFR) is $3 \%$ and the expected rate of inflation (EI) is $4.5 \%$. The nominal risk-free rate of return (NRFR) is equal to:
1 answer 73 views
The real risk-free rate of return (RRFR) is $3 \%$ and the expected rate of inflation (EI) is $4.5 \%$. The nominal risk-free rate of return (NRFR) is equal to:The real risk-free rate of return (RRFR) is $3 \%$ and the expected rate of inflation (EI) is $4.5 \%$. The nominal risk-free rate of return (NRFR ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
How do you calculate the expected return?
1 answer 31 views
How do you calculate the expected return?How do you calculate the expected return? ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Discuss the distinction between the required rate of return and the expected rate of return
1 answer 42 views
Discuss the distinction between the required rate of return and the expected rate of returnDiscuss the distinction between the required rate of return and the expected rate of return ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Define the required rate of return
1 answer 15 views
Define the required rate of returnDefine the required rate of return ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
What are the two factors that influence the nominal risk-free rate?
1 answer 39 views
What are the two factors that influence the nominal risk-free rate?What are the two factors that influence the nominal risk-free rate? ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Differentiate between the real risk-free rate of return and the nominal risk-free rate of return and calculate both return measures
1 answer 59 views
Differentiate between the real risk-free rate of return and the nominal risk-free rate of return and calculate both return measuresDifferentiate between the real risk-free rate of return and the nominal risk-free rate of return and calculate both return measures ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Explain the concept of required rate of return and discuss the components of an investor's required rate of return
1 answer 27 views
Explain the concept of required rate of return and discuss the components of an investor's required rate of returnExplain the concept of required rate of return and discuss the components of an investor's required rate of return ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
What are the three components of an investor's required rate of return?
1 answer 21 views
What are the three components of an investor's required rate of return?What are the three components of an investor's required rate of return? ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
What is the required rate of return?
1 answer 12 views
What is the required rate of return?What is the required rate of return? ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Explain, without further calculation, whether the pension fund would be immunised against small changes in the interest rate if the quantities of stock in i. are purchased.
1 answer 51 views
Explain, without further calculation, whether the pension fund would be immunised against small changes in the interest rate if the quantities of stock in i. are purchased.A pension fund has a liability of R400,000 due in ten years' time. The pension fund has exactly enough funds to cover the liability based on an effect ...
close
1 answer 33 views
Show that $d^{(p)}$, the nominal rate of discount payable $p$ times a year, can be written as $d^{(p)}=p\left(1-e^{-\delta / p}\right)$, where $\delta$ is the force of interest.i. Show that $d^{(p)}$, the nominal rate of discount payable $p$ times a year, can be written as $d^{(p)}=p\left(1-e^{-\delta / p}\right)$, wher ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Calculate the change in the monthly instalment due to the change in the interest rate assuming that the original term of the loan was unchanged.
1 answer 55 views
Calculate the change in the monthly instalment due to the change in the interest rate assuming that the original term of the loan was unchanged.i. On 1 January 1997, a bank issued a loan of R 275,000 , repayable by level monthly instalments payable in arrears. The loan was issued at a rate of ...
close
1 answer 50 views
Calculate the amounts that should be invested in Asset $\mathrm{A}$ and $\mathrm{B}$ to immunise the portfolio against small changes in the interest rate. Focus only on the first two conditions of the immunisation theory.A small investor has the following liabilities: - $\mathrm{R} 9,000$ payable at the end of years one, two, three and four, and - R 11,000 payable at ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
The $n$-year forward rate for transactions beginning at time $t$ and maturing at time $t+n$ is denoted by $f_{t, n}$. You are given:
1 answer 39 views
The $n$-year forward rate for transactions beginning at time $t$ and maturing at time $t+n$ is denoted by $f_{t, n}$. You are given:The $n$-year forward rate for transactions beginning at time $t$ and maturing at time $t+n$ is denoted by $f_{t, n}$. You are given: \ \begin ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Let $i$ be the annual effective interest rate and $n$ and $p$ be any natural numbers.
1 answer 41 views
Let $i$ be the annual effective interest rate and $n$ and $p$ be any natural numbers.Let $i$ be the annual effective interest rate and $n$ and $p$ be any natural numbers. i. Define algebraically, in a summation format, $\ddot{a ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Thirty-five workers can build a house in 16days. How many days will 28 workers working at the same rate take to build the same house? 0 answers 51 views Thirty-five workers can build a house in 16days. How many days will 28 workers working at the same rate take to build the same house?Thirty-five workers can build a house in 16days. How many days will 28 workers working at the same rate take to build the same house? ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 What organic compound is this? 1 answer 41 views What organic compound is this? What organic compound is this?&nbsp; ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 How much should be deposited today at a continuous interest rate of \(3.5 \%$ to accumulate $\ 10,500$ in 5 years?
1 answer 53 views
How much should be deposited today at a continuous interest rate of $3.5 \%$ to accumulate $\ 10,500$ in 5 years?How much should be deposited today at a continuous interest rate of $3.5 \%$ to accumulate $\ 10,500$ in 5 years? ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Find the future value of $\ 3000$ compounded continuously at an annual interest rate of $5.1 \%$ for 18 months.
1 answer 43 views
Find the future value of $\ 3000$ compounded continuously at an annual interest rate of $5.1 \%$ for 18 months.Find the future value of $\ 3000$ compounded continuously at an annual interest rate of $5.1 \%$ for 18 months. ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
What is continuous compound interest?
1 answer 32 views
What is continuous compound interest?What is continuous compound interest? ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Determine the effective rate for $\ 1000$ invested for 1 year at $7.40 \%$ compounded quarterly.
1 answer 29 views
Determine the effective rate for $\ 1000$ invested for 1 year at $7.40 \%$ compounded quarterly.Determine the effective rate for $\ 1000$ invested for 1 year at $7.40 \%$ compounded quarterly. ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
What is an effective interest rate?
1 answer 79 views
What is an effective interest rate?What is an effective interest rate? ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Find the present value if the future value is $\ 14,520.35$ and compounded annually at a nominal rate of $1.256 \%$ for 6 years.
1 answer 83 views
Find the present value if the future value is $\ 14,520.35$ and compounded annually at a nominal rate of $1.256 \%$ for 6 years.Find the present value if the future value is $\ 14,520.35$ and compounded annually at a nominal rate of $1.256 \%$ for 6 years. ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Suppose that $\ 25,000$ is invested at $8 \%$ interest. Find the amount of money in the account after 4 years if the interest is compounded quarterly.
1 answer 252 views
Suppose that $\ 25,000$ is invested at $8 \%$ interest. Find the amount of money in the account after 4 years if the interest is compounded quarterly.Suppose that $\ 25,000$ is invested at $8 \%$ interest. Find the amount of money in the account after 4 years if the interest is compounded quart ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
What is compound interest?
1 answer 65 views
What is compound interest?What is compound interest? ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
If $\ 1375$ earned simple interest of $\ 502.56$ in 86 months, what was the simple interest rate?
1 answer 40 views
If $\ 1375$ earned simple interest of $\ 502.56$ in 86 months, what was the simple interest rate?If $\ 1375$ earned simple interest of $\ 502.56$ in 86 months, what was the simple interest rate? ...
close
1 answer 68 views
A loan of $\ 15,500$ was repaid at the end of 18 months. If an $6 \%$ annual rate of interest was charged, what size repayment check (present value and simple interest) was written?A loan of $\ 15,500$ was repaid at the end of 18 months. If an $6 \%$ annual rate of interest was charged, what size repayment check (present val ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Find the simple interest on a principal (present value) of $\ 2000$ at an annual interest rate of $3 \%$ for 8 months.
1 answer 105 views
Find the simple interest on a principal (present value) of $\ 2000$ at an annual interest rate of $3 \%$ for 8 months.Find the simple interest on a principal (present value) of $\ 2000$ at an annual interest rate of $3 \%$ for 8 months. ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
How much can be invested in each account with the largest possible amount invested at $8 \% ?$
1 answer 34 views
How much can be invested in each account with the largest possible amount invested at $8 \% ?$A trust account manager has $\ 420,000$ to be invested in three different accounts. The accounts pay $8 \%, 10 \%$, and $12 \%$, and the goal i ...
close