the function A(t)=728(1 + 0.04)t represents the amount of money in the account after t years. How much money did Adtia originally invest?

Answer:

0.5

Step-by-step explanation:

5+a•b, 2•3 is 6, +5 is 11.

4+6•b, 6•3 is 18, +4 is 22.

I'm using PEMDAS/GEMDAS, which means I did multiplication first.

I'm assuming the / means to divide, so 11/22 is 0.5

Answer:

600

Step-by-step explanation:

The common multiples from the multiples of 15, 25, 40, and 75 are 600 and  1200, but the smallest common multiple of 15, 25, 40, and 75 is 600.

The equation represents decay by a rate of 2%

The starting amount is 1000 in this equation

The time value in this equation is 4

Hope that helps!

Answer:

lets take 2 point two get slope

(0.3)A

(21.0)B

slope = <y2 -y1>/<x2-x1>

equal -1/7

equation of straight

y=mx +c

m is the slope

y= -1/7 x +c

take a point to get c

3=m *0 +c

c= 3

y= -1/7 x + 3

Step-by-step explanation:

multiple equation by 7

7y =-x +21

The equation of the line perpendicular to x-8y = 16 and passes through the point (2,-2) is y = -8x + 14.

A linear equation is in the form:

y = mx + b

where m is the rate of change (slope) and b is the y intercept.

Given the line is x - 8y = 16:

8y = x - 16

y = x/8 - 2

The slope of the line is 1/8, the slope of the line perpendicular is -8. Hence, since it passes through (2 -2):

y - (-2) = -8(x - 2)

y = -8x + 14

The equation of the line perpendicular to x-8y = 16 and passes through the point (2,-2) is y = -8x + 14.

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Answer:

37.2m^3

Step-by-step explanation:

Given: The dimension of a cuboid

[tex]l(length)=6.2m\\w(width)=2.4m\\h(height)=2.5m[/tex]

To Determine: The volume of the container

The volume of a cuboid is calculated by the formula below:

[tex]V cuboid=lxwxh[/tex]

Substitute into the formula the given dimensions

[tex]V container=6.2m x2.4mx2.5m\\V container=37.2m^{3}[/tex]

Hence, the volume of the container is 37.2m^3

Answer:

a counterclockwise rotation of 270 around the origin

Answer:

78.742

Step-by-step explanation:

add 67.405 and 11.337

Answer:

78.742

Step-by-step explanation:

  7 8 .7 4 2

_ 1  1 .3 3 7

_________

    6   7 .4 0 5

As you see 2 can't - 7 so 4 gives it + 1 turning into 12 and 12 - 7=5

And then you know the rest>

Hope it helps have a great afternoon:)

Answer:

[tex]42,700[/tex]

Step-by-step explanation:

[tex]42.7 * 10^3[/tex]

[tex]42.7 * (10*10*10)[/tex]

[tex]42.7 * 1000[/tex]

[tex]42,700[/tex]

Hope this helps!

Answer:

corresponding

Step-by-step explanation:

The answer is corresponding if you want i can share my work.

Answer:

8.

Step-by-step explanation:
The ratio or fraction for this problem would be 1 (gold coin) : 25 (points)

If we want to find out how many gold coins he needs to get 200 points we need to divide 200 by 25.

200/25 : 8

if we want to check our answer do this
1:25
1 x 8 is 8
25 x 8 is 200

Soo... Collin needs to find 8 coins to win 200 points.

Hope I was hopeful! <3

The experimental probability of getting a green ball on the next trial of the Leon is 6/25.

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

Experimental probability of an event is the ratio of number of time a particular event occur to the total number of trials.

Leon has a bag of 4 red balls, 3 green balls and 6 yellow balls. He takes a ball out and replaces it 50 times.  Out of those 50 trials he pulls out a green ball 12 times.

Here, the number of green ball pulls out is 12 times and the total number of times trials is 50. Thus the experimental probability of getting a green ball is,

[tex]P=\dfrac{12}{50}\\P=\dfrac{6}{25}[/tex]

Thus, the experimental probability of getting a green ball on the next trial of the Leon is 6/25.

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Answer:

-6

Step-by-step explanation:

easy

Answer:

-6

Step-by-step explanation:

Answer:

$126.00

Step-by-step explanation:

1 you Multiply .50×18=9

so the ratio is 9 per box

you add 6+8=14 and then 14×9=126

Answer:

3.25

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:  

4 8/6

Step-by-step explanation:

That should be your answer

Answer:

The endpoints for the original segment is

Top: (5,6)

Bottom (5,2)

The endpoints for the dilated segment is

Top: (5/3,2)

Bottom (5/3,2/3)

Step-by-step explanation:

Since the dilation scale is 3 just divide each coordinate value by 3.

Answer:

r=3/4

Step-by-step explanation:

(135/2) / 90 = 0.75

(405/8) / (135/2) = 0.75

0.75 = 3/4

=) (32/5 + 9/5) + 315

=) 41/5 + 315

=) (41+1575)/315

=) 1616/315

=) 5.13

Answer:

323 1/5

Step-by-step explanation:

1) Convert mixed numbers into improper fractions

6 2/5 = 32/5

1 4/5 = 9/5

2) Calculate within parentheses

32/5 +9/5 = 41/5

3) Add and subtract (left to right)

41/5 + 315 = 1616/5

4) Convert improper fraction into mixed number

1616/5 = 323 1/5

Answer:

[tex]a=2;b=5;c=-20[/tex]

Step-by-step explanation:

Given:

Number tree is given.

Given hint: To get a number in the square multiply the numbers in the two circles connected to it.

[tex]a*(-4)=-8\\a=-\frac{8}{-4} \\a=2[/tex]

[tex]a*b=10\\2*b=10\\b=\frac{10}{2} \\b=5[/tex]

[tex]b*(-4)=c\\5*(-4)=c\\c=-20[/tex]

Therefore, final answers are:

[tex]a=2;b=5;c=-20[/tex]

5-2.7=2.3

The empty truck weighs 2.3 tons

Answer:

m=0.7404, b=3.9117m=0.7404,b=3.9117

y=0.7404x+3.9117y=0.7404x+3.9117

x=18x=18

y=0.7404(18)+3.9117=17.2389y=0.7404(18)+3.9117=17.2389

Residual

16-17.2389= -1.238916−17.2389=−1.2389

-

The residual value for x = 18 is,

⇒ 16 - 17.24

⇒ - 1.24

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Now, We know that;

Equation is,

y = bx + a

Where,

b = (xy) - (x) (y) / x² - y²

Here, We have;

x = 12.5

y = 13.17

(xy) = 211.17

Hence, We get;

b = (211.17 - 164.625) / (219.17 - 156.25)

b = 0.74

So, We get;

y = bx + a

13.17 = 0.74 × 12.5 + a

a = 3.92

So,

y = 0.74x + 3.92

y = 0.74 × 18 + 3.92

y = 17.24

Thus, the residual value for x = 18 is,

⇒ 16 - 17.24

⇒ - 1.24

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Answer:

= 90,000,000,000

Step-by-step explanation:

g --> kg

0.00007g --> 7 x 10^-8

6300kg / 7 x 10^-8

Answer:

ANSWER:

450

6 of them had Blue eyes

Evan's mother drove 45 miles in total.

Jada had 15 crayons left

Amelie read 15 pages on monday.

Step-by-step explanation:

first one

Total blue eyed:-

If  the circle below with secants BCD and FED then length of BC is 7.3cm

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

Let BC = x cm

BD=x+6

FD=11+5

From power of a point to circle

BD.CD=DF.ED

(x+6)6=16×5

6x+36=80

Subtract 36 from both sides

6x=80-36

6x=44

Divide both sides by 6

x=7.3

Hence, if  the circle below with secants BCD and FED then length of BC is 7.3cm

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