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3 years ago

Multiply

Mathematics

1 answer:

algol [13]3 years ago

5 0

When a matrix is multiplied by a constant, the constant multiplies each of the elements of the matrix.

$2\left[\begin{array}{cc}4&0\\-1&5\end{array}\right]=\left[\begin{array}{cc}2\cdot 4&2\cdot 0\\2\cdot(-1)&2\cdot 5\end{array}\right]\\\\=\left[\begin{array}{cc}8&0\\-2&10\end{array}\right]$

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Kobotan [32]

The answer is B x-2y=-15

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3 years ago

Mr eliot is extremely careful with his money. He recently invested part of his $150,000 life savings in gold bullion and the res

DIA [1.3K]

Answer:

The amount invested in gold bullion by Mr. Eliot = $50,000

Step-by-step explanation:

Total amount of savings Me. Eliot ha s = $150,000

Let us assume the amount invested in gold bullion = $m

So, the amount invested in bank = $150,000 - m

Now, 5% on m = $\frac{5}{100} \times m = 0.05 m$

So, the profit in gold bullion = 0.05 m

and 3% on (150,000 -m) = $\frac{3}{100} \times (150,000 -m) = 0.03 (150,000 -m)$

= 4,500 - 0.03 m

So, the profit in bank = 4,500 - 0.03 m

Now, the total profit = $5,500

⇒Profit from gold bullion + ban = $5,500

⇒0.05 m + 4,500 - 0.03 m = $5,500

or, 0.02 m = 1000

⇒ m = 1000/0.02 = 50,000

Hence, the amount invested in gold bullion = m = $50,000

3 0

3 years ago

Theresa Mitsoto invested $3,500 in a 3-year CD that paid 6.5% annual interest. She cashed out the CD at the end of two years wit

Andre45 [30]

Answer:

$56.875

Step-by-step explanation:

Given that :

Amount invested = principal, p = 3500

Interest rate, r = 6.5% = 0.065

Penalty on withdrawal = 3 month simple interest

Simple interest = principal * rate * time

Time = 3 months = 3/12 = 0.25 years

Hence,

Simple interest = 3500 * 0.065 * 0.25

Simple interest = $56.875

Hence, penalty paid = $56.875

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2 years ago

Solve the equation<br> 5x+6=2(2x - 3)<br> X=

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Answer:

$x = - 12$

Step-by-step explanation:

$5x + 6 = 2(2x - 3) \\ 5x + 6 = 4x - 6 \\ 5x - 4x = - 6 - 6 \\ x = - 12$

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1 year ago