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katen-ka-za [31]

3 years ago

12

First, open the matrix calculator in the tool bar. Create this 1 x 3 matrix: 77 39 −33 Enter the value: Then select the operatio

n as shown below to calculate: 1.5 77 39 −33 Operation cA = a1 a2 a3 a1 = a2 = 58.5 a3 =

1 answer:

monitta3 years ago

4 0

Answer:

a1= 115.5 a2= 58.5 a3= -49.5

Step-by-step explanation:

just took test

You might be interested in

Find the slope of the line.

Delicious77 [7]

The slope is 2 because after u use the slope formula u get 4/2 which reduces to 2

6 0

3 years ago

Pls help me! Show the working as well!

timofeeve [1]

Answer:

16. 3

17. 12 / 7

18. 24 / 5 ( or ) 4.8

Step-by-step explanation:

16.

2 / ( x - 1 ) = 1

2 = x - 1

x = 2 + 1

x = 3

17.

( x / 3 ) + ( x / 4 ) = 1

LCM ( 3, 4 ) = 12

x / 3 = 4x / 12

x / 4 = 3x / 12

( x / 3 ) + ( x / 4 ) = 1

( 4x / 12 ) + ( 3x + 12 ) = 1

( 4x + 3x ) / 12 = 1

7x / 12 = 1

7x = 12

x = 12 / 7

18.

( x / 3 ) + ( x / 2 ) = 4

LCM ( 3, 2 ) = 6

x / 3 = 2x / 6

x / 2 = 3x / 6

( x / 3 ) + ( x / 2 ) = 4

( 2x / 6 ) + ( 3x / 6 ) = 4

( 2x + 3x ) / 6 = 4

5x / 6 = 4

5x = 24

x = 24 / 5

( or )

x = 4.8

8 0

3 years ago

two friends drive from dallas going to el paso, a distance of 600 miles. mary ann zilke travels by highway and arrives at the sa

Ann [662]

The average speed of Carla and mary is 50 and 60 miles per hour respectively.

<u>SOLUTION: </u>

Given, Two friends drive from dallas going to el paso, a distance of 600 miles.

mary and zilke travels by highway and arrives at the same destination 2 hours ahead of carla canola

The average speed of mary ann's car was 10 miles per hour faster than carla's car,

We have to find the average speed of each car?

Now, let the speed of Carla be s miles per hour, then speed of mary will be s + 10 miles per hour.

And let the time taken by Carla be t, then time taken by mary will be t – 2 hours

Now, we know that, distance = speed x time

Then, for mary ⇒ 600 miles = $( s + 10 ) \times (t - 2)$

And for Carla ⇒ 600 miles = $s \times t$

Now, equate both the equations.

(s + 10) (t – 2) = st ⇒ s(t – 2) + 10(t – 2) = st

St – 2s + 10t – 20 = st

2s – 10t + 20 = 0

s – 5t + 10 = 0

since $s \times t = 600$ the above equation becomes,

$\mathrm{s}-5 \times \frac{600}{s}+10=0$

By multiplying equation with s,

$\begin{array}{l}{s^{2}+10 s-3000=0} \\\\ {s^{2}+60 s-50 s-3000=0} \\\\ {s(s+60)-50(s+60)=0} \\\\ {(s+60)(s-50)=0}\end{array}$

s = 50 or -60 [ neglect –ve values, as speed can't be negative]

So, speed of Carla is 50 miles per hour, then speed of mary is 50 + 10 = 60 miles per hour.

Hence, the average speed of Carla and mary is 50 and 60 miles per hour respectively.

7 0

3 years ago

You plan to work for 40 years and then retire using a 25-year annuity. You want to arrange a retirement income of $3500 per mont

mezya [45]

Answer:

A =$ 543,224.5

Step-by-step explanation:

Given,

plan to work for = 40 years

P = $3500 per month

APR = 6 % = $\dfrac{0.06}{12}$

n= 12 × 25 = 300

$A = \dfrac{P}{r}[1-(1+r)^{-n}]$

$A = \dfrac{3500}{\dfrac{0.06}{12}}[1-(1+\dfrac{0.06}{12})^{-300}]$

A =$ 543,224.5

so, the deposits are required to achieve the desired monthly yield at retirement A =$ 543,224.5

7 0

3 years ago

A 45 foot ladder is leaning against a building. If the bottom of the ladder is 27 feet from the base of the building, how tall i

taurus [48]

Answer:

The height of building to the nearest foot is h = 36 foot

Step-by-step explanation:

We have given,

Length of ladder leaning against a building, l = 45 foot

Bottom length between ladder and the building , b = 27

Now, we need to find the height of building to the nearest foot.

Let the height of building be h.

Using Pythagoras theorem,

$l^{2} = b^{2} +h^{2}$

Here, l = 45 , b = 27 and h =?

So,

$45^{2} = 27^{2} +h^{2}$

h² = 45² - 27²

h = √(45² - 27²)

h = 36

The height of building to the nearest foot is h = 36 foot

8 0

3 years ago

Read 2 more answers