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R25000 is deposited into an account which offers an interest rate of \( 9 \% \) p. compounded monthly. After 3 years, R6 850 is withdrawn from the accour How much will be in the account after 10 years?
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Write the system of equations and then use a matrix to solve. 5. The Varsity Bearcat football team scored a total of 50 points in one game. They scored 14 times. The scoring was made up of touchdowns ( 6 points each), PATs ( 1 point each), and field goals ( 3 points each). They had 3 more touchdowns than field goals. How many of each type of score did the team have?
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18 Consider the equation \( x^{2}-2 x+r=0 \), where \( r \) is a real parameter. \( 1^{\circ} \) Calculate \( r \) so that the roots \( x_{1} \) and \( x_{2} \) exist. \( 2^{\circ} \) Calculate \( r \) so that : \( \begin{array}{lll}\text { a) } \frac{1}{x_{1}}+\frac{1}{x_{2}}=-\frac{1}{2} & \text {; b) } x_{1}^{2}+x_{2}^{2}=6 & \text {; ce } \frac{1}{x_{1}^{2}}+\frac{1}{x_{2}^{2}}=1 \\ \text { d) }\left(x_{1}-x_{2}\right)^{2}=4 & \text {; e) } \frac{1}{x_{1}-2}+\frac{1}{x_{2}-2}=3\end{array} \)
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What is nagdalita in kasingkahulugan?
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Determine the value of the variable \( y \). \[ \left\{\begin{array}{c}x+y+z=1 \\ -2 x-y-z=3 \\ x+y+3 z=-1\end{array}\right. \]
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Jesarrolla la función polinomial racional, Jtilizando fracciones parciales: \[ \frac{11 x+21}{(x+6)(x+1)} \]
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\( \left\{ \begin{array} { l } { \hat { a } = 4 x + 22 ^ { \circ } } \\ { \hat { r } = 4 x - 2 ^ { \circ } } \end{array} \right. \)
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Write an equation using four numbers that multiply to 0, none of which are opposites.
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Factoriza el polinomio: \[ x^{3}-11 x^{2}+30 x= \]
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11. Evaluate \( \frac{\frac{5}{3} \times 1 \frac{1}{5}}{\frac{1}{4}} \)
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