C
Find the remainder when $4x^3-6x+5$ is divided by $2x+1$.

C
The roots of the equation $2x^2-7x+4=0$ are $\alpha$, $\beta$. Find an equation with integral coefficients whose roots are $\frac{\alpha}{\beta}$, $\frac{\beta}{\alpha}$.

C
The roots of the equation $3x^2+4x-5=0$ are $\alpha$ and $\beta$. Find the values of (a) $\frac{1}{\alpha}+\frac{1}{\beta}$ (b) $\alpha^2+\beta^2$

C
Simplify $\frac{\log 125}{\log 25}$

C
Simplify $\frac{(1+x)^{\frac{1}{2}}-\frac{1}{2}x(1+x)^{-\frac{1}{2}}}{1+x}$

C
Find the value of $(\frac{27}{8})^{-\frac{2}{3}}.$

C
Rationalize the denominators of (a) $\frac{1}{\sqrt{2}}$ (b) $\frac{1}{3-\sqrt2}$

C
Simplify $\sqrt{50}+\sqrt{2}-2\sqrt{18}+\sqrt{8}$

C
Express $6\sqrt{5}$ as a simple square root.

C
Write $\sqrt{63}$ as the simplest possible surd.

C
You invest $\$3,000$in a two year investment that pays you$12\%$per annum. Calculate the future value of the investment. 1 answers and 12 views C Asked by 3 years ago In what time will$\$8,000$ amount to $\$8,820$at$10\%$per annum interest compounded half-yearly? 1 answers and 6 views C Asked by 3 years ago What annual rate of interest compounded annually doubles an investment in$7$years? Given that$2^{\frac{1}{7}}=1.104090$1 answers and 5 views C Asked by 3 years ago If you deposit$\$8000$ into an account paying $7\%$ annual interest compounded quarterly, how long until there is $\$12,400$in the account? 1 answers and 13 views C Asked by 3 years ago If you deposit$\$5000$ into an account paying $6\%$ annual interest compounded monthly, how long until there is $\$8000$in the account? 1 answers and 9 views C Asked by 3 years ago Kapil deposited some amount in a bank for$7\frac{1}{2}$years at the rate$6\%$p.a. simple interest. Kapil received$\$101,500$ at the end of the term. Compute initial...

C
Rahul invested \$70,000 in a bank at the rate of 6.5% p.a. simple interest rate. He received$85,925 after the end of term. Find out the period for which sum was invested by Rahul.

C
Sachin deposited $1,000,000 in his bank for 2 years at simple interest rate of 6%. a) How much interest would he earn? b) How much would be the final value of deposit? 1 answers and 7 views C Asked by 3 years ago Sania deposited$50,000 in a bank for two years with the interest rate of 5.5% p.a. a) How much interest would she earn? b) What will be the final value of investment?