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3 years ago

What is the product?

Mathematics

1 answer:

tensa zangetsu [6.8K]3 years ago

5 0

Answer:

The correct answer is,

| -8|

| 4 |

Step-by-step explanation:

It is given two matrices,

1)Let Matrix A = 5 -2

-6 2

2) Matrix B = -1

-1

Matrix A is 2 x 2 matrix and matrix B is 2 x 1 matrix

To find the product of two matrices

A x B = 5 -2 x -1 = -10+2 = -8

-6 2 -1 6 -2 4

Therefore the correct answer is

| -8|

| 4 |

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3) Lane and Zack purchased a house for $245,000 in 2016. The house loses 4% of its value each year,

kherson [118]

Answer:

In 2030 Lane & Zack's house be worth $65,739.27.

Step-by-step explanation:

Here, as we know The value of property = $245,000

Rate of depreciation = 4% of its present value

Time = From 2016 to 2030 = 14 years

Now, here: Amount depreciated = -( COMPOUND INTEREST on the value)

Step 1: CALCULATE THE COMPOUND INTEREST on P = $245,000

$A = P(1 + \frac{r}{100} )^t\\\implies A = (245,000)(1 + \frac{4}{100} )^{14} = (245,000)(1 + \frac{4}{100} )^{14}\\=245,000 (\frac{104}{100} )^{14} = 424,260.73$

or, AMOUNT = $424,260.73

Now, AMOUNT = Compound I + Principal

⇒Compound I = A - P = $424,260.73 - $245,000 =$ 179,260

So, the amount of the house by which house depreciates = $ 179,260

⇒The depreciated value = Actual Value - The depreciated amount

= $245,000 - 179,260 = $65,739.27

Hence, in 2030 Lane & Zack's house be worth $65,739.27.

4 0

4 years ago

Which points are coplanar?

JulijaS [17]

I think the answer is D.

6 0

3 years ago

How can you solve an equation that has variables on both sides?

Sindrei [870]

Answer:

After simplifying, the first step in solving an equation with a variable on both sides is to get the variable on one side. This is done by reversing the addition or subtraction of one of the terms with the variable.

Step-by-step explanation:

8 0

3 years ago

Draw two segments. How many common points is it possible for the segments to have? Explore all possibilities.

Arte-miy333 [17]

A segment is bounded by two endpoints.

The two segments can have up to two common points

Assume the line segments are AB and CD where the length of AB is greater than the length of CD.

The possibilities are:

A point of segment CD lies on segment AB
Both points of segment CD lie on segment AB.

See attachment for both possibilities.

Hence, it is possible for the two segments to have two common points.