Solve the proportion

Answer:

757,576cents

Step-by-step explanation:

Given

Amount = $10000

Time = 4years

Rate = 8%

n = 1/4 year (compounded quarterly

Using the formula to get the principal

A = P(1+r/n)^nt

10000 = P(1+0.08/0.25)^4(1/4)

10000 = P(1+0.32)

10000= 1.32P

P = 10000/1.32

P = 7575.76

Hence he suppose to invest $7575.76 which is equivalent to 7575.76×100 cents i.e 757,576cents

Answer:

Step-by-step explanation:

69

1. y = [tex]\frac{1}{6}[/tex]x - 2

2. y = 2x + 5

3. y = -7x - 2

4. y = [tex]\frac{1}{2}[/tex]x + 7

5. y = -[tex]\frac{5}{3}[/tex]x - 9

6. y = -x + 5

7. y = -[tex]\frac{2}{7}[/tex]x - 1

8. y = 5x + 4

Answer:

Step-by-step explanation:

Find the supplement of 5x + 62

Call the supplement = z

5x + 62 + z = 180                Subtract 5x + 62 from both sides

z = 180 - (5x + 62)               Remove the brackets

z = 180 - 5x - 62

z = 118 - 5x

Add the 3 angles to 180

37 + 3x + 47 + 118-5x = 180    All triangles have 180 degrees. Combine like terms

202 - 2x = 180                        Subtract 202 from both sides

-2x = - 22                                Divide by -2

x = -22/-2

x = 11

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

x = 11

5x + 62 = 5*11 + 62 = 55 + 62 = 117

3x + 47 = 3*11 + 47 = 33 + 47 = 80

Note these do not add up to 180. That's because 5x + 63 is outside the triangle.

The supplement of 117 = 63

37 + 63 + 80 = 180 as it should.

Answer:

-14x-48

Step-by-step explanation:

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the AP.

1.) For the first Sequence, d= 4

so we get as, an = a + (n-1) d

an = 9/2 + (n-1) 4

an = 9/2 +4n -4

=> an = 1/2 + 4n

2.) d = 3

=> an = 10/3 + (n-1) 3

so, => an = 10/3 +3n -3

=> an = 1/3 +3n

3.) d = -0.2

=> an = 1/2 +(n-1) (-0.2)

=> an = 1/2 -0.2n +0.2

=> an= 0.7 -0.2n

Answer:

1) x=0.25, or 1/4, 2) 6.5

Step-by-step explanation:

1)

3(x-2) + 5x+4

3x - 6 + 5x + 4

8x - 6 + 4

8x + 2

/2 /2

x= 0.25

2)

4 - 2(x+7) - 3

4 - 2x - 14 + 3

4 - 2x - 17

-2x - 13

/-2 /-2

x = 6.5

Answer:

Option C) 16(0.5x - 0.75y + 2)

Step-by-step explanation:

16(0.5x - 0.75y + 2) = 16*0.5x - 0.75y*16 + 2 *16

                                = 8.0x - 12.0y + 32

                                =  8x - 12y + 32

Answer:15

Step-by-step explanation:

In a square each side is the same length so you simply take 60 and divide it by 4 and you get 15.

Answer:

D is the answer

Step-by-step explanation:

Answer:

Let the measures of three angles be 2x, 9x, 4x

Sum of the angles of a triangle = 180

2x+9x+4x = 180

15x = 180

x = 180/15 = 12

First angle = 2x = 2*12 = 24°

Second angle = 9x = 9*12 = 108°

Third angle = 4x = 4*12 = 48°

I hope it is helpful:D

Step-by-step explanation:

Answer:

t=75°

Step-by-step explanation:

Answer: 15

Step-by-step explanation:

Plug in 8 for e and solve

8 - ((sqrt 8 + 1) + 2)) + (8 - 3sqrt8) sqrt8 - 4

Answer:

i think it's:: -6 11/21

Answer:

-6 11/21

Step-by-step explanation:

Mixed fraction [tex]\boldsymbol{2\frac{4}{9}}[/tex] can be written as improper fraction as [tex]\boldsymbol{\frac{22}{9}}[/tex]

A fraction in which value of numerator is greater or equal to the value of the denominator is known as an improper fraction.

Given mixed fraction is [tex]\boldsymbol{2\frac{4}{9}}[/tex]

[tex]2\frac{4}{9}=\frac{\left ( 9\times 2 \right )+4}{9}[/tex]

     [tex]=\frac{22}{9}[/tex]

So, mixed fraction [tex]\boldsymbol{2\frac{4}{9}}[/tex] can be written as improper fraction as [tex]\boldsymbol{\frac{22}{9}}[/tex]

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The required improper fraction is x = 22/9

Given that,
To Convert the mixed fraction to an improper fraction. 2 4/9

Fraction is defined as the number of compositions that constitute the Whole. Fraction is represented as x = numerator / denominator,
example = 8 / 9`
Types of function,
1 .  Proper Fractions = numerator < denominator

2 . Improper Fractions = numerator > denominator

3 . Mixed Fractions: fraction in the form x+ a/b

An improper fraction is defined as when the numerator is equal to or larger than the denominator. example = a / b where a  > b or 5/2 where 5 > 2.

Let the fraction be x,
x = 2 4/9
x = 2 + 4/9
x = (18 + 4 ) / 9
x = 22/9

Thus, the required improper fraction is x = 22/9

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Answer:

Its 1

Step-by-step explanation:

Answer:

0.84

Step-by-step explanation:

Well if you do 6.72/8 that will give you the answer which is 0.84

Answer: 30 lb of $1.80 candy

60 lb of $1.20 candy

Step-by-step explanation:

let ( x )represent the pounds of $1.80 candy.

Then 90-x will be pounds of $1.20 candy, • Total mix

= 1.80x + 1.20(90-x)

But because we the value to be same as 90 pounds of $1.40 per pound mix, so the equation

= 1.80x + 1.20(90 -x) = 1.40(90)

Simply the equation

= 1.80x + 108 - 1.20x = 126

= 0.60x + 108 = 126

0.60x = 126 - 108

0.60x = 18

divide both sides by 0.60

x = 30.

30 lb is the pounds of $1.80 candy

Substitute x into 90-x

90 - 30

= 60.

pounds of $1.20 candy Is 60 lb.

Answer:

6

Step-by-step explanation:

Her profit will increase be 6 dollars.  

x = 1

y = 45(1)

y = 45  

The number of more dollars earned by Amanda if she switched to new icing will be $6.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties

Given that Amanda sells homemade birthday cakes for a profit of $39 per cake. She is considering switching to a new type of icing that will increase her profit, as expressed by the function y = 45x, where x is the number sold and y is the amount of profit.

The number of dollars will be calculated as,

y = 45x

For 1 cake the profit with new icing is,

y = $45

The more number in profit is calculated as,

P = 45 - 39

P = $6

Therefore, the number of more dollars earned by Amanda if she switched to new icing will be $6.

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Answer:

1 and - 2

Step-by-step explanation:

f(- 3) means what is the value of y when x = - 3

When x = - 3 the corresponding point is (- 3, 1 ) ← with y = 1, thus

f(- 3) = 1

Similarly for f(0)

When x = 0 the corresponding point is (0, - 2 ) ← with y = - 2 , thus

f(0) = - 2

Answer:

54

Step-by-step explanation:

Answer:

12x-4= 2

Step-by-step explanation:

12x-4= 2

Add 4 to both sides

12x= 6

divide by 12

x= .5

Answer:

1) 14135 = B) múltiplo de 5 C) múltiplo de 11

Step-by-step explanation:

Para saber si un numero es un multiplo de otro simplemente tenes que dividir el otro numero por el primero y si el resultado es un numero entero (sin resto y que no es un decimal) entonces es un multiplo de ese numero. En esta pregunta el primer numero (14135) es multiplo de 5 y de 11 por que al dividir no quedan restos, pero no es multiplo de 3 por que si quedan restos.

14135 / 3 = 4,711.666

14135 / 5 = 2,827

14135 / 11 = 1,285

El segundo numero (11234125723) no es multiplo de ninguna de las opciones por que todos dejan restos.

11,234,125,723 / 3 = 3,744,708,574.33333

11,234,125,723 / 5 = 2,246,825,144.6

11,234,125,723 / 11 = 1,021,284,156.636363

Answer:

No.

Step-by-step explanation: negative 0.833 is way closer to 0 than it is to 1. The closer the correlation coefficient is to one, the more likely it is correct

Answer:

both

Step-by-step explanation:

7 and 10 is half

so we expect the people come to wedding half of 120÷2=60 people

i just try