Asked by 2 months ago
Solve the following equation $5x^2-6x-2=0$

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Asked by 2 months ago
Solve the equation $2x^2+7x-15=0$

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

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

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Asked by 2 months ago
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) $\alpha^2+\beta^2$

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Asked by 2 months ago
Simplify $\frac{\log 125}{\log 25}$

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Asked by 2 months ago
Simplify $\frac{(1+x)^{\frac{1}{2}}-\frac{1}{2}x(1+x)^{-\frac{1}{2}}}{1+x}$

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Asked by 2 months ago
Find the value of $(\frac{27}{8})^{-\frac{2}{3}}.$

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Asked by 2 months ago
Rationalize the denominators of (a) $\frac{1}{\sqrt{2}}$ (b) $\frac{1}{3-\sqrt2}$

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Asked by 2 months ago
Simplify $\sqrt{50}+\sqrt{2}-2\sqrt{18}+\sqrt{8}$

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Asked by 2 months ago
Express $6\sqrt{5}$ as a simple square root.

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Asked by 2 months ago
Write $\sqrt{63}$ as the simplest possible surd.

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Asked by 2 months ago
You invest $\$3,000$ in a two year investment that pays you $12\%$ per annum. Calculate the future value of the investment.

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Asked by 2 months ago
In what time will $\$8,000$ amount to $\$8,820$ at $10\%$ per annum interest compounded half-yearly?

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Asked by 2 months ago
What annual rate of interest compounded annually doubles an investment in $7$ years? Given that $2^{\frac{1}{7}}=1.104090$

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Asked by 2 months ago
If you deposit $\$8000$ into an account paying $7\%$ annual interest compounded quarterly, how long until there is $\$12,400$ in the account?

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Asked by 2 months ago
If you deposit $\$5000$ into an account paying $6\%$ annual interest compounded monthly, how long until there is $\$8000$ in the account?

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Asked by 2 months 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...

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Asked by 2 months ago
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.

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Asked by 2 months ago
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?

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