Lucy invested $19,000 in an account paying an interest rate of 3% compounded annually. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 8 years?

Answer:

(6, - [tex]\frac{1}{2}[/tex] )

Step-by-step explanation:

Given the 2 equations

3x - 4y = 20 → (1)

4x - 2y = 25 → (2)

Multiplying (2) by - 2 and adding to (1) eliminates the y- term

- 8x + 4y = - 50 → (3)

Add (1) and (3) term by term to eliminate y

- 5x = - 30 ( divide both sides by - 5 )

x = 6

Substitute x = 6 into either of the 2 equations and evaluate for y

Substituting into (1)

3(6) - 4y = 20

18 - 4y = 20 ( subtract 18 from both sides )

- 4y = 2 ( divide both sides by - 4 )

y = [tex]\frac{2}{-4}[/tex] = - [tex]\frac{1}{2}[/tex]

Solution is (6, - [tex]\frac{1}{2}[/tex] )

The solution of the linear equations 3x - 4y = 20 and 4x - 2y = 25 will be (6, -0.50).

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The linear equations are given below.

3x - 4y = 20            ...1

4x - 2y = 25

8x - 4y = 50            ...2

Subtract equation 1 from equation 1, then we have

8x - 4y - 3x + 4y = 50 - 20

5x = 30

x = 6

The value of the variable 'y' will be given as,

3(6) - 4y = 20

18 - 4y = 20

4y = - 2

y = - 0.50

The solution of the linear equations 3x - 4y = 20 and 4x - 2y = 25 will be (6, -0.50).

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

Answer:

-2

Step-by-step explanation:

Pick a point the count down 2 and right 1 to the next point

Since it goes down and to the right its negative

Answer:

-2

Step-by-step explanation:

Rise over run. It went down which means it's a negative. Then it went right (run).

D. 17 years olddddddddddd

Answer:

1. y-int=5, concave up, a greater than 0

2. y-int=-3, concave down, a less than 0

3. y-int=0, concave up

Step-by-step explanation:

Answer:

Angle 1, angle 3 and angle 7 will be the equal angles.

Step-by-step explanation:

In the figure attached,

Two lines are parallel and a transversal line is intersecting these parallel lines.

Congruent angles to the angle measuring 124° will be,

m(∠7) = 124° [Vertical angles]

m(∠1) = 124° [Corresponding angles]

m(∠3) = 124° [Alternate interior angles]

Therefore, ∠1, ∠7 and ∠3 will measure the same as 124°.

Answer:

Mean 140 grams

Standard deviation 22.4 grams

Step-by-step explanation:

What would the mean and standard deviation of these apples' weights be as determined by this scale? (Note: 1 ounce ≈ 28 grams).

Mean = 5.2 ounces.

First step would be to convert from ounces to grams

1 ounce = 28 grams

5.2 ounces =

5.2 ounces × 28 grams

= 145.6 grams

He underweighs by 0.2 ounces

We convert this too

1 ounce = 28 grams

0.2 ounce =

0.2 ounce × 28 grams

= 5.6 grams.

The new mean weight of the Fuji apples is grams = 145.6 grams - 5.6 grams = 140 grams.

Standard Deviation = 0.8 ounces.

Even though he underweighed that apples by 0.2 ounces, there has minimal effect on the standard deviation of the apples.

Hence, the standard deviation if the apples in grams =

1 ounce = 28 grams

0.8 ounce =

0.8 ounce × 28 grams

= 22.4 grams

Answer:

5

Step-by-step explanation:

because if you add -2x and 5 you would get 3 also if you subtract 6x-4 you would get 2x so add 2x and 3x then you would get five

Answer:

D, 5

Step-by-step explanation:

1) 2 times 6 is 12

2) 12+3 = 15

3) 15/3 = 5

Answer:

i do not know

Step-by-step explanation:

Answer:

[tex]8\frac{1}{2}*11=93\frac{1}{2}[/tex]

Step-by-step explanation:

Simplify the expression.

Answer:

5 hours

Step-by-step explanation:

10-2=8 now add the hours

Answer:

x=2

Step-by-step explanation:

Step 1_  −(x−6)=4

              −x+6=4(Distribute)

               −x+6=4

Step 2_       −x+6−6=4−6

                   −x=−2

Step 3_       −x    equals   -2

                    −1                   -1

x=2

Hope this helps :)

Answer:

Step-by-step explanation:

Answer:

396.5cm or 3.965m

Step-by-step explanation:

A sculptor is designing her new triangular masterpiece. In her scale​ drawing,

Scale Drawing

The shortest side = 9cm

The longest side = 37cm

Actual Drawing

The longest side of the actual triangular piece= 16.3m long.

We convert from meter to cm

1m = 100cm

16.3m =

Cross Multiply

= 16.3 m × 100cm/m

= 1630cm

How long will the shortest side of this piece​ be?

Let the shortest side be represented by x

9/37 = x/1630

Cross Multiply

37x = 9 × 1630

x = 9 × 1630/37

x = 396.48648649cm

≈ 396.5cm

Or converting to meter

= 396.5cm/100

= 3.965m

Parallel means their slopes should equal to each other.

Thus we need to find the slope of the given line ,

Let's do it.....

[tex]3x - 4y = 6[/tex]

Subtract sides -3x

[tex] - 3x + 3x - 4y = - 3x + 6[/tex]

[tex] - 4y = - 3x + 6[/tex]

Divided sides by -4

[tex] \frac{ - 4}{ - 4}y = \frac{ - 3}{ - 4}x + \frac{6}{ - 4} \\ [/tex]

[tex]y = \frac{3}{4}x - \frac{3}{2} \\ [/tex]

This is the slope-intercept of the line.

We know that the coefficient of the x in slope-intercept form , is the slope of the line.

Thus the slope of the equation which we want is :

[tex]slope = \frac{3}{4} \\ [/tex]

_________________________________

We have following equation to find the point-slope form of the linear functions.

[tex]y - y(given \: point) = slope \times (x - x(g \: p) \: ) \\ [/tex]

Now just need to put the slope and the given point in the above equation.

[tex]y - 6 = \frac{3}{4} \times (x - 4) \\ [/tex]

Multiply sides by 4

[tex]4(y - 6) = 3(x - 4)[/tex]

[tex]4y - 24 = 3x - 12[/tex]

Plus sides 24

[tex]4y - 24 + 24 = 3x - 12 + 24[/tex]

[tex]4y = 3x + 12[/tex]

Subtract sides -3x

[tex]4y - 3x = 3x - 3x + 12[/tex]

[tex]4y - 3x = 12[/tex]

And we're done....♥️♥️♥️♥️♥️

Just plug in the first value for x and see if you get the second value!

The answer is (2,5)

5 = 3 x 2 - 1.

5 = 6 -1

5 = 5

Answer:

picture guide person

Step-by-step explanation:

picture, then guide, and then person ⇔∑ω

Answer:

12

Step-by-step explanation:

9/24 = 0.375 (how many peeled per minute)

0.375 x 32 = 12

Answer:

12 oranges

Step-by-step explanation:

Step 1:

9/24 = x/32        Equation

Step 2:

24x = 288        Multiply

Step 3:

x = 288 ÷ 24        Divide

Answer:

x = 12

Hope This Helps :)

Answer:

10+c=3

Step-by-step explanation:

to solve this you would then subtract 10 from both sides, to get c by itself.

3-10= -7

Your answer would be -7 and the equation would be 10+c=3.

Answer:

this is not a good angle cant see it that well

Step-by-step explanation:

Answer:

the mistake is that the person added 2x by-4x which should've been -2x

Step-by-step explanation:

-4x+2x is basically saying 2-4 which is -2

Answer:

False

Step-by-step explanation:

A function can't have 2 y-intercepts so y is not a function of x

Answer:

I believe it is A.

step-by-step explanation:

Because on the grid it is the Y corrdinate and the X coordinate so I belive it id True.

Hope it helps!

Have a brainly day! :D

Answer:

y = 4x + 2

Step-by-step explanation:

Answer:

c on edge

Step-by-step explanation:

Answer:

70.3068

explanation:

divide the mass value by 2.205

Answer:

69.75 kg

Step-by-step explanation:

1:0.45

155:x

x=155×0.45

x=69.75 kg

Step-by-step explanation:

b= -2A-a

---------------

h

The third option is right

HAVE A GOOD DAY!

Answer:

its the third one

Step-by-step explanation:

Answer:

I won't put a step by step since I converted the equations into decimals which I don't think will help you.

Step-by-step explanation:

0.33 or -0.33 depends on which you look at it.

Answer:

The country's capital is the region most affected by the pandemic. So far it has registered 308,645 positive cases. In recent weeks there has been an increase in cases, however, the Intensive Care Units continue to be controlled. Bogotá has been experiencing economic reactivation for several weeks, but they do not rule out some drastic measures in the future

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:yes

Answer:

3(8-7)=2(10+8)

3(1)=2(18)

3= 36

I don't know what your instructions say but this is false. 3 is not equal to 36.