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2 years ago

11

Raul deposited $3000. Into a checking account that earned simple interest rate each year. After 3.5 years he earned $262.50 in i

nterest. If no money was deposited or withdrawn from the account what was the annual interest rate?

1 answer:

Vesna [10]2 years ago

4 0

Answer is 6.25 percent per year.

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A= [1, 3; 2, 1], B=[3, 6; -1, 1]. Find AB & BA if possible

steposvetlana [31]

Answer:

$AB\Rightarrow \quad \begin{bmatrix}0 & 9\\ 5 & 13\end{bmatrix}\\BA\Rightarrow \quad \begin{bmatrix}15 & 15\\ 1 & -2\end{bmatrix}$

Step-by-step explanation:

For two matrix P and Q, the product, say PQ is defined when:

The number of columns of P = The number of rows of Q

Since A is a 2×2 matrix and B is also a 2×2 matrix

Thus both AB and BA are possible.

So AB is:

$AB\Rightarrow\begin{bmatrix}1 & 3\\ 2 & 1\end{bmatrix}\begin{bmatrix}3 & 6\\ -1 & 1\end{bmatrix}\\AB\Rightarrow\quad \begin{bmatrix}3\times 1+3\times (-1) & 6\times 1+3\times 1\\3\times 2+1\times (-1) & 6\times 2+1\times 1\end{bmatrix}\\AB\Rightarrow \quad \begin{bmatrix}0 & 9\\ 5 & 13\end{bmatrix}$

BA is:

$BA\Rightarrow\begin{bmatrix}3 & 6\\ -1 & 1\end{bmatrix}\begin{bmatrix}1 & 3\\ 2 & 1\end{bmatrix}\\BA\Rightarrow\quad \begin{bmatrix}3\times 1+6\times 2 & 3\times 3+6\times 1\\(-1)\times 1+1\times 2 & (-1)\times 3+1\times 1\end{bmatrix}\\BA\Rightarrow \quad \begin{bmatrix}15 & 15\\ 1 & -2\end{bmatrix}$

8 0

3 years ago

What is the answer to this algebra?<br>5ab + 3cb - 2ba - 2bc<br>

Nookie1986 [14]

Answer:b x (3a+c)

Step-by-step explanation:

Collect like terms

3ab + 3cb-2bc

3ab+cb

Factor out b from the expression

b x(3a+c)

7 0

2 years ago

How much time will Alex need to walk to his school, which is 2 1/4 miles away from his house, if he would walk with the speed of

Roman55 [17]

Answer:

it would take 3/5 of an hour or 0.6 as a decimal

Step-by-step explanation:

3 3/4 divided by 2 1/4 is 3/5 or 0.6

Hope this helped!

6 0

3 years ago

Read 2 more answers

A train covers 168 miles at a speed of 42 mph. How much time dod it take?

Sergio039 [100]

Answer:

4 hours

Step-by-step explanation:

42x?=168

?=4

3 0

2 years ago

Please help I'm begging

Elina [12.6K]

The figure is made up of a cone and a cylinder.

Diameter = 16 ft
radius = 16÷2 = 8ft

Volume of the cone = 1/3bh
Volume of the cone = $\frac{1}{3} \pi r^{2} h$
Volume of the cone = $\frac{1}{3} \pi 8^{2}(6)$ = 402.12

Volume of the cyclinder = bh
Volume of the cylinder = $\ \pi r^{2} h$
Volume of the cylinder = $\ \pi 8^{2}(4)$ = 1206.37

Total = 402.12 + 1206.37 = 1608.49 cubic feet

6 0

2 years ago