what is 9/10 - 2 3/4 i. the simplest form

[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$1600\\ r=rate\to 1.4\%\to \frac{1.4}{100}\dotfill &0.014\\ t=years\dotfill &3 \end{cases} \\\\\\ A=1600e^{0.014\cdot 3} \implies A \approx 1668.63[/tex]

Answer:

Slope = 3/1 or 3

Y intercept = (0, -5) or 5

Step-by-step explanation:

The slope intercept form : y = mx+b shows that the m represents the place of the slope and the b represents the place of the y intercept.

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Answer:

C. n^3 - 16 = 48

Using the  system of equations x+y+z=7200, 0.04x+0.11y+0.14z=805 and z=x+y+200, the value of x=1400,y=2100 and z=3700

Given,

The equations

x+y+z=7200

0.04x+0.11y+0.14z=805

z=x+y+200

Substitute the value of z in the first and second equations

x+y+x+y+200=7200

2x+2y+200=7200

2x+2y=7000

x+y=3500   (1)

Similarly

0.04x+0.11y+0.14(x+y+200)=805

0.04x+0.11y+0.14x+0.14y+28=805

0.18x+0.25y=777

Multiply the equation by  4

0.72x+y=3108   (2)

We have to use elimination method here

Subtract the equation (1) from (2)

x-0.72x=3500-3108

0.28x=392

x=1400

Then,

x+y=3500

1400+y=3500

y=2100

z= x+y+200

z=1400+2100+200

z=3700

Hence, using the  system of equations x+y+z=7200, 0.04x+0.11y+0.14z=805 and z=x+y+200, the value of x=1400,y=2100 and z=3700

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Answer:

The first one!

Step-by-step explanation:

The sum of the side lengths of any 2 sides of a triangle must exceed the length of the third side.

Answer:

The answer is C.

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

You still would have $1,000

Step-by-step explanation:

In April, you lost 13% of your fund. So we will subtract it.

In May, you gain 13% back. The rate of change was 0%.

Therefore, you still have $1,000 dollars.

Answer: The answer is that you have $983.

Step-by-step explanation:

Answer:

height of the vessel should be 50 cm I guess

Answer:

A

Step-by-step explanation:

Okay.

A negative exponent means we want to "flip" the term.

so we get

(1/-c^2)^1/3

When we get a fraction exponent, we want to "root" the term by that

so we get

[tex]\sqrt[3]{\frac{1}{-c^2} }[/tex]

Which simplifies to

[tex]\frac{\sqrt[3]{1} }{\sqrt[3]{-c^2} }[/tex]

Which becomes[tex]1/\sqrt[3]{-c^2}[/tex]

Answer:

28.32552

Step-by-step explanation:

multiply

Answer:

28.32552

Step-by-step explanation:

39.331 × 0.72= 28.32552

Answer:

$140

Step-by-step explanation:

Orignal Price: $200

200 x 0.3

= 60

200 - 60

= 140

Answer:the phone will cost 140

Step-by-step explanation:

Answer:

8/7

Step-by-step explanation:

0.8/0.7=8/7

Answer:8/7

Step-by-step explanation:

Answer:

ax + by = c

<=> ax = c - by

<=> x = [tex]\frac{c-by}{a}[/tex]

Step-by-step explanation:

Answer:

A:90

B:120

Step-by-step explanation:

all you have to do is divide 360 by 4 and then divide 360 by 3

Answer:

c

Step-by-step explanation:

16-30i

Answer:

Step-by-step explanation:

for first,

then solving this we get

Answer:

Is it B

Step-by-step explanation:

Answer:

Step-by-step explanation:

B test!

Answer:

17,070

Step-by-step explanation:

Continue to move the decimal point to the right, and it adds a zero when the decimal places are all taken.

Answer:

10,070

Step-by-step explanation:

so 10 to the power of three is 1 with three 0s

so 1000

remember 10 cubed is 10 times 10 times 10 that equals 1000

then 1000 times 17.07 is 17070

this is a 2 step equation

Answer:

a) S varies inversely as G

[tex]S\propto\frac{1}{G}[/tex]

or  [tex]S=\frac{K}{G}[/tex]

b) S=4 when G=7

Step-by-step explanation:

a) Write the variation.

S varies inversely as G

[tex]S\propto\frac{1}{G}[/tex]

So, We can write: [tex]S=\frac{K}{G}[/tex]

Where k is constant of proportionality

b) Find S when G is 7.

Now, if S=8, G = 3.5 we will find K

[tex]S=\frac{K}{G}\\K=SG\\K=8\times 3.5\\K=28[/tex]

So, value of K= 28

Now, find S when G is 7

[tex]S=\frac{K}{G}\\S=\frac{28}{7}\\S=4[/tex]

So, S=4 when G=7

Answer:

multiplication

Step-by-step explanation:

cuz it says "times greater"

Answer:

It means how may times can the other variable fit into that variable, so you would divide.

- For example: Bob has 6 flowers in his basket, but Sally has only 2 flowers in her basket.

    Q: How many times greater is Bob's basket of flowers than Sally's?

    A: Bob's basket is 3 times greater than Sally's (bc 6/2 = 3, or 2 can fit into 6           three times)

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Note: Consider the below figure attached with this question.

Given:

[tex]a=3\sqrt{3}[/tex]

To find:

The value of b.

Solution:

In a right angled triangle,

[tex]\tan \theta = \dfrac{Perpendicular}{Base}[/tex]

For the given right angled triangle,

[tex]\tan \theta = \dfrac{a}{b}[/tex]

[tex]\tan (30^\circ) = \dfrac{3\sqrt{3}}{b}[/tex]

[tex]\dfrac{1}{\sqrt{3}} = \dfrac{3\sqrt{3}}{b}[/tex]

On cross multiplication, we get

[tex]1\times b=3\sqrt{3}\times \sqrt{3}[/tex]

[tex]b=3(3)[/tex]

[tex]b=9[/tex]

Therefore, the value of b is 9.

Answer:

1h 20m

Step-by-step explanation:

Let the total amount of work be x.

Shannon:

2h = x

1h = [tex]\frac{1}{2}[/tex]x

So basically Shannon does  [tex]\frac{1}{2}[/tex]x work per hour.

Sarah:

4h = x

1h = [tex]\frac{1}{4}[/tex]x

So basically Sarah does [tex]\frac{1}{4}[/tex]x work per hour.

Together:

1h = [tex]\frac{1}{2}[/tex]x + [tex]\frac{1}{4}[/tex]x

    = [tex]\frac{2}{4}[/tex]x + [tex]\frac{1}{4}[/tex]x

    = [tex]\frac{3}{4}[/tex]x

Amount of time spent = [tex]\frac{4}{4}[/tex]x ÷ [tex]\frac{3}{4}[/tex]x

                                     = [tex]\frac{4}{4}[/tex]x × [tex]\frac{4}{3}[/tex]x

                                     = [tex]\frac{16}{12}[/tex]h

                                     = 1[tex]\frac{4}{12}[/tex]h

                                     = 1h 20m

Answer:

4/3 hours

Step-by-step explanation:

For every hour that Sarah mows, Shannon mows twice as much. Because of this, Sarah is going to mow two times as much of the field as Shannon. You can set up an equation where x is the fraction of lawn mowed. This equation should be:

2x + x = 1 -> 3x = 1

The reason the equation is set up like this is because there is 1 whole lawn that the fraction of the lawn that Shannon mows (2x) plus the fraction of the lawn that Sarah mows (x) adds up to. You can use this equation to solve for x, which will be 1/3.

Since you know x, you can find what fraction of the lawn Shannon and Sarah mow. Since Shannon mows a fraction of 2x of the lawn, the fraction she mows will be 2*1/3 = 2/3. The fraction that Sarah mows will be x = 1/3.

Now that you know the fraction of the whole lawn that both Saran and Shannon mow, you can multiply their respective fraction by the amount of time it takes for them to mow a whole lawn. To do this for Shannon, you multiply 2/3 of the lawn by 2 hours, which gives you 4/3 hours. To do this for Sarah, you multiply 1/3 of the lawn by 4 hours, which also gives you 4/3 hours.

Answer:

True

True

False

Step-by-step explanation:

Rate of Change is slope. There is no change in slope as the line is straight.

Using the slope formula:

[tex]m=\frac{x_{2}-x_{1} }{y_{2}-y_{1}} \\m=\frac{4-0}{1-0}\\m=4[/tex]

Where m is slope

Since gold beads are on the x-axis, that means there are 4 black beads per gold bead

Answer:

6

Step-by-step explanation:

Each recipe of waffles requires 3/4 cups of butter

Mrs Claus has 4 1/2 cups of butter

Therefore the number of recipes which she will be able to make can be calculated as follows

= 4 1/2 ÷ 3/4

= 9/2 ÷ 3/4

= 9/2 × 4/3

= 6

Hence Mrs Claus can make 6 recipes

The complete sequence is 24, 30, 36, 42, 48, 54, 60

The nth term of an arithmetic progression is expressed according to the equation;

Tn = a + (n-1)d

where

a is the first term

n is the number of terms

d is the common difference

Determine the common difference

d = 42-b = b - 30

-b-b = -30-42

-2b = -72

b = 36

d = 36-30

d = 6

For the first term;

d = 30 - a

6 = 30 - a

a = 24

For the value of c

c = 42 + 6

c = 48

For the value of d

d = 48 + 6

d = 54

For the value of e

e = 54 + 6

e = 60

Hence the complete sequence is 24, 30, 36, 42, 48, 54, 60

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Answer:

B

Step-by-step explanation:

if its less than 1 it shrinks

The correct statement is; Pentagon M’N’P’Q’R is smaller than pentagon MNPQR because the scale factor is smaller than 1.

The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor in arithmetic.

If a polygon is dilated by a scale factor = k

Rule to be followed as;

(x, y) → (kx, ky)

Here, k = Scale factor

If 0 < k < 1, size of the image will be reduced.

Similarly, k > 1, size of the image will be enlarged.

We are given that Pentagon MNPQR is dilated with the origin as the center of dilation to form an image M'N'P'Q'R'.

Rule used for the transformation,

(x, y) → (1/4x, 1/4y)

Here, the scale factor through which MNPQR has been dilated is 1/4.

Since, scale factor is between zero and 1/4, size of M'N'P'Q'R' will be reduced.

Therefore, the size of pentagon M'N'P'Q'R' will be 1/4 smaller than pentagon MNPQR.

Option (2) is the answer.

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Therefore, the slope of a line on a standard XY-plane that passes through points (1, 3) and (4,-3) is -2.

So, option (c) is correct.

Given two points are (1, 3) and (4, -3)

We need to find the slope of a line

The slope of a line (m) :

m = y₂ - y₁ / x₂ - x₁

Given (x₁, y₁) =  (1, 3) and (x₂, y₂) =  (4, -3)

Slope (m) =  y₂ - y₁ / x₂ - x₁

                = -3 - 3 / 4 - 1

                = -6 / 3

                = -2

Therefore, the slope of a line on a standard XY-plane that passes through points (1, 3) and (4,-3) is -2.

So, option (c) is correct.

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