A company has an investment account with Bank A which offers an effective interest rate of \( 12 \% \) per annum. A competitor bank, Bank B, offers an interest rate of \( 11,5 \% \) p.a, compounded monthly. 5.2 .1 Determine which bank offers the best interest rate. 5.2 .2 The company will invest with the bank offering the best interest rate. The company invests money into a lump sum account that will accrue to R280 000 in 5 years. After 2 years, the company experiences difficulty and withdraws R50 000 from the account. Determine the minimum amount of money they would have to invest which would have accrued to R280 000 .

Explica cómo determinar si la ecuación \( x - 3 = 2x - 3 \) tiene infinitas soluciones.

Perform the row operations \( R_{2}=-3 r_{1}+r_{2} \) and \( R_{3}=9 r_{1}+r_{3} \) on the original matrix given in the problem, and enter the resulting matrix below. (Simplify your answer.)

Partie A: On considère la fonction \( \varphi \) définie sur \( \mathbb{R} \operatorname{par} \varphi(x)=e^{x}-x-1 \) 1. Etudier le sens de variation de la fonction \( \varphi \) 2. a) Quelle est la valeur du minimum de \( \varphi \operatorname{sur} \mathbb{R} \) ? b) En déduire le signe de \( \varphi(x) \) pour tout \( x \in e^{\prime}= \)

1) \( \left[\begin{array}{ccc}-2 & 2 & 3 \\ -2 & 5 & -4\end{array}\right]+\left[\begin{array}{ccc}-2 & 6 & -3 \\ 2 & -1 & -5\end{array}\right] \)

3) \( h(t)=2 t-3 \) \( g(t)=t^{2}+1 \) Find \( h(g(10)) \)