Diego invested $6,100 in a 9-month certificate of deposit paying 1.8% interest. How much interest did he earn form this investment?

Considering the given system of equations, it is found that:

[tex]|Ay| = \left|\begin{array}{cc}-8&1\\-6&-1\end{array}\right|[/tex]

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the system is:

-8x+y=-6

3x-2y=-1

In matrix form, it is given by:

[tex]\left[\begin{array}{cc}-8&1\\3&-2\end{array}\right]\left[\begin{array}{c}x\\y\end{array}\right] = \left[\begin{array}{c}-6\\-1\end{array}\right][/tex]

To find the matrix |Ay|, we replace the y coefficients of 1 and -2 by the results of -6 and -1, hence:

[tex]|Ay| = \left|\begin{array}{cc}-8&1\\-6&-1\end{array}\right|[/tex]

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Answer:

C. (-8 -6 3 -1)

Step-by-step explanation:

EDG

X = 1

Explanation :

when you multiply negative 2 by negative six you get twelve. when you multiply positive one by negative six you get negative six.

Answer: X = 1

Step-by-step explanation:

give other brainliest

Answer:

The answer would be k=5/2

Step-by-step explanation:

2.5 (4k+2)12k <- distribute the 2.5 into the parentheses  

10k+5=12k <- take the parentheses out of the equation

10k-12k= -5 <- Move the like terms to one side and change the sign

-2k= -5 <- Collect the like terms & divide by -2 on both sides of the equation

k=5/2 <- Answer at the end

Answer:

0.8-0.6=0.2 or 1/5, one fifth.

Step-by-step explanation:

hope this helps

The value of sin-1(1) is negative startfraction pi over 2 endfraction, startfraction -pi over 2 endfraction.

The value of sin (π/2) is equal to the number 1. The value of the sin-1(1) has to be find out.

Suppose the value of this function is x. Thus,

[tex]x=\sin^{-1}(1)[/tex]

Solve it further,

[tex]\sin(x)=(1)[/tex]              ......1

The value of sin (π/2) and -sin (-π/2) is equal to 1 such that,

[tex]\sin\dfrac{\pi}{2}=-\sin\left(-\dfrac{\pi}{2}\right)=1[/tex]

Put this value in the equation 1,

[tex]\sin(x)=\sin\left(\dfrac{\pi}{2}\right)=-\sin\left(-\dfrac{\pi}{2}\right)[/tex]

Thus, the range will be,

[tex]\left(\dfrac{\pi}{2},-\dfrac{\pi}{2}\right)[/tex]

Thus, the value of sin-1(1) is negative startfraction pi over 2 endfraction, startfraction -pi over 2 endfraction.

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Answer: C

Step-by-step explanation:

edge

A=2(wl+hl+hw)

Plug in the variables in the formula.

Answer:

1.625

Step-by-step explanation:

Answer:

34.38 (rounding to the nearest hundredth)

Step-by-step explanation:

I have my work linked below, but I used to arc length formula and plugged in all known numbers. Then solved for x which will be the angle you are looking for. Hope this helps!

On a circle of radius 10 feet,  34.37° angle would subtend an arc of length 6 feet.

The length of an arc formula is represented as follows

The length of arc = Ф / 360 × 2πr

where

Ф = angle, r = radius

It is given that circle of a radius of 10 feet,

The length of arc = 6 ft

Therefore,

6 = Ф / 360 × 2 × 3.14159 × 10

6 = 62.8318Ф / 360

360 x 6 =  62.8318Ф

Ф = 360 x 6 / 62.8318

Ф = 34.3784

Ф ≈ 34.37°

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Answer:

In an indirect proof, instead of showing that the conclusion to be proved is true, you show that all of the alternatives are false.

The indirect proof serves as a powerful tool in mathematical reasoning, allowing mathematicians to establish the truth of statements by strategically exploiting logical inconsistencies within assumed false premises.

An indirect proof is a method in math where you assume the opposite of what you want to prove, then show that this assumption leads to a contradiction or inconsistency.

This means that the opposite assumption must be false, making the original statement true.

It's a way to prove something by showing that its opposite can't be true.

Hence, Indirect proof assumes opposite, leads to contradiction, proving original statement true. Used when direct proof is challenging or problem suits contradiction.

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Answer:

question one

one shirt cost=9pound

3 shirts=3*9=27pound

x + y = 6

y = 6 - x

substitute the x values to find the value of y

x ║ -2 ║ -1 ║ 0 ║ 1 ║ 2 ║ 3

========================

y ║ 8  ║ 7  ║ 6 ║ 5 ║ 4 ║ 3

Graph:

Answer:

its here..........,,,

Answer:

116.1

Step-by-step explanation:

supplementary-180

complimentary-90

180-63.9= 116.1

Answer:

1.25 cups of diced tomatoes

Step-by-step explanation:

1.  12 1/4 ÷ 7

2. = 49/4 x 1/7

3.  =49/28

4. =7/4

5. =1 1/4 or 1.25

I hope this was helpful

Answer:

For the first triangle:

Sides xz and xy are of equal length

Angles z and y are of equal measure

For the second triangle:

Sides pr and qr are of equal length

Angles p and q are of equal measure

Step-by-step explanation:

Those tiny line segments intersecting the sides indicate that those sides are equal.

Hope that helps!

Brent estimates that the model's circumference is about 3 times the measure of the circle's diameter, with this, he can estimate the area.

A circle is the locus of a point, such that the distance from a fixed point (center) is always constant.

The circumference of a circle is given by:

Circumference = π * diameter

Brent estimates that the model's circumference is about 3 times the measure of the circle's diameter, with this, he can estimate the area.

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Answer:

  Leon (2.12), Jacon (2.40), Ashley (2.50), Mika (2.57)

Step-by-step explanation:

Putting a mix of rational and irrational numbers into numerical order can be done by using approximations to them of sufficient precision to be able to tell them apart.

Here, we can make the following approximations:

  √17 -2 ≈ 2.12

  1 +π/2 ≈ 2.57

Of course, the decimal value of 12/5 is 2.40, so the numbers will be arranged in order if Mika moves to the right end:

  Leon (2.12), Jacon (2.40), Ashley (2.50), Mika (2.57)

__

Your calculator can help with this.

Answer:

The answer are in the file

By analyzing when the piecewise function increases and when it decreases, we can conclude that the true statement is:

"The function is increasing over the interval −8≤x≤−2."

We know that our function is made of straight lines that connect:

(to see if it increases or decreases, compare the y-value of the second and first point. If the second is larger, then the line increases).

Then the statement that is true is:

3) "The function is increasing over the interval −8≤x≤−2."

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Answer:

Hello there! The answer is 3 seconds.

Answer: PH, ground

Step-by-step explanation: edge2022

In this lab, you observed how pollutants affected the" PH "of water. You also modeled and observed how pollution affected freshwater sources, including surface water and the water in the" ground "

Water pollution can be defined as the abnormal accumulation of strange elements in the water with harmful consequences to natural ecosystems.

Water pollution involves all the possible ways in which any water body can be contaminated with harmful elements.

The source of water pollution is human activities, producing the biggest damage to natural ecosystems.

Contaminating elements might be either gasses, solid material, or liquid material Such as Chemical elements, microbiota, heavy metals, and sediments affect all forms of life.

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Answer:72

Step-by-step explanation:6 x 12=72

Answer:

I believe the answer is 0.35

Step-by-step explanation:

We know the total is 0.7 miles. We can assume he went back and forth only once. So divide by 2 and you get 0.35 miles

Answer:

312.3 feet

Step-by-step explanation:

ML = 18 and KM = 25 so we can put together that JM = 17.35

17.35 x 18 = 312.3 ft

Hope this helps K12 students :)

Answer:

a. [tex]x^{2} + 3y^{3}[/tex]

b. [tex]3y^{3} -6[/tex]

c. [tex]5x -3[/tex]

d. -6t - 5

Step-by-step explanation:

When a number has the same variable as another, you can add or subtract them

So for the first one, you can do

[tex]5x^{2} -4x^{2} = 1x^{2} = x^{2}[/tex]

(But don't forget the [tex]3y^{3}[/tex]!)

So it is:

[tex]x^{2} + 3y^{3}[/tex]

Continue this process for the rest of them

Answer:

Step-by-step explanation:

The slope-intercept form is

Convert the given equation into slope-intercept form

The slope is:

The y-intercept is:

Correct choice is A

First isolate y

Compare to slope intercept form y=mx+b

Answer:

7[tex]\sqrt{5}[/tex]

Step-by-step explanation:

the legs of a 45°- 45°- 90° triangle are congruent , then

one leg = 7[tex]\sqrt{5}[/tex]

the other leg = 7[tex]\sqrt{5}[/tex]

Answer:

90

Step-by-step explanation:

Number of boxes can be filled

= (60 x 50 x 30) ÷ (10x10x10)

= 90

Answer:

90

Step-by-step explanation:

P = L×W×H

=60×50×30

P= 90,000

P= L×W×H

=10×10×10

P=1,000

90,000 ÷ 1,000 = 90

So, 90 pieces of terry in one cartoon

I think it's help

[tex]\\ \rm\rightarrowtail x^2-21x+108[/tex]

[tex]\\ \rm\rightarrowtail x^2-12x-9x+108[/tex]

[tex]\\ \rm\rightarrowtail x(x-12)-9(x-12)[/tex]

[tex]\\ \rm\rightarrowtail (x-9)(x-12)[/tex]

Done!

The circumference of a circle is the same as the perimeter of the circle.

A circle is the locus of a point such that its distance from a fixed point (center) is always constant.

The circumference of a circle is the same as the perimeter of the circle. It is given by:

Circumference = 2π × radius = π * diameter

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