4. Determina si cada afirmación es verdadera o falsa, En el segundo caso, ilustra con un ejemplo. a. El resultado de adicionar una matriz con la matriz nula es la misma matriz. b. Si cuatro matrices tienen el mismo tamaño, entonces se puede calcular la suma de las, cuatro. c. Al adicionar dos matrices de tamaño \( n \times m \), se obtiene una matriz de tamaño \( 2 n \times 2 m \). d. La matriz inversa aditiva de \( A \) es una matriz del mismo tamaño de \( A \).

The size of a rat population at the bay area of a certain city grows at a rate of \( 10 \% \) monthly. If there are 270 rats currently, find how many rats (rounded to the nearest whole) should be expected in 18 months. Use \( y=270(2.7)^{0.1 t} \), and let t be 18 months. \( y= \) Submit Question

A marine manufacturer will sell \( N(x) \) power boats after spending \( \$ x \) thousand on advertising, as given by \( N(x)=970-\frac{3,630}{x}, 5 \leq x \leq 30 \). (A) Find \( \mathrm{N}^{\prime}(\mathrm{x}) \). (B) Find \( \mathrm{N}^{\prime}(10) \) and \( \mathrm{N}^{\prime}(20) \). Write a brief verbal interpretation of these results. \( \mathrm{N}^{\prime}(20)=\square \) \( \square \) (Type an integer or a decimal.) Interpret \( \mathrm{N}^{\prime}(20) \). Select the correct choice below and fill in the answer box to complete your choice. A. At the \( \$ 20,000 \) level of advertising, sales are increasing at the rate of \( \square \) boats per \( \$ 1,000 \) spent on advertising. B. The marine manufacturer will sell \( \square \) power boats after spending \( \$ 20,000 \) on advertising. C. At the \( \$ \) \( \square \) thousand level of advertising, sales are decreasing at the rate of 20 boats per \( \$ 1,000 \) spent on advertising.

Use the formula for computing future value using compound interest to determine the value of an account at the end of 10 years if a principal amount of \( \$ 5,000 \) is deposited in an account at an annual interest rate of \( 6 \% \) and the interest is compounded quarterly. The amount after 10 years will be \( \$ \square \). (Round to the nearest cent as needed.)

Let \( p \) and \( q \) represent the following simple statements. \( p \) : The scarf is red. \( q \) : The shoe is black. Write the symbolic statement \( p v \sim q \) in words. A. The scarf is red or the shoe is not black. B. The scarf is red and the shoe is not black. C. The scarf is not red or the shoe is not black. D. If the scarf is red, then the shoe is not black.

2) \( \frac{1}{2}=\frac{n}{16} \)