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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:

3 or more or lines intersect

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:

Step-by-step explanation:

What is the equation?

You need to replace all A with 3 and all c with 12. If I had the equation, I'd be glad to help further.

For the given values a=3 and c=12 the required expression is 4a-c=0.

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

Given that,

The value of a = 3         (1)

And the value of c = 12       (2)

To determine the expression,

divide equation (1) and equation (2),

a/c = (3/12)

⇒a/c = 1/4

⇒4a=c

⇒4a-c = 0

The required expression is 4a-c=0.

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Answer:

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

Answer:

-6 11/21

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: 5/2

Step-by-step explanation:

Answer:

5/2

Step-by-step explanation:

for khan

Answer: t=13

Step-by-step explanation:

Answer:

t=-13

Step-by-step explanation:

First solve:

12t -8t =4t

4t=-52

Next you must reduce both sides:

2t= -26

t=-13

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:

2744 Rhinos left

Step-by-step explanation:

Given that,

There are 4,000 Rhinos left in the world i.e. initial amount of Rhinos, A₀ = 4,000

They are going extinct at a rate of 3.7% each year.

We need to find no of Rhinos left in 10 years. For this, we will use exponential decay rate equation as follows :

[tex]A(t) = Ao(1 - r)^t[/tex]

Here, A₀ = 4,000, r = 3.7% = 0.037, t = 10 years

Putting all the values, we get :

[tex]A(t) = 4000\times (1 - 0.037)^{10}\\\\=2743.61[/tex] (we can use calculator to find it)

A(t) = 2744 Rhinos

Hence, 2744 Rhinos will be left after 10 years.

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: the correct answer is 5.5 students, but their cannot be one half of a student

Step-by-step explanation:

Answer:

both

Step-by-step explanation:

Answer:

slope = - 7

Step-by-step explanation:

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (5, - 6) and (x₂, y₂ ) = (2, 15)

m = [tex]\frac{15+6}{2-5}[/tex] = [tex]\frac{21}{-3}[/tex] = - 7

Answer:

D

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

Answer:

1 serving to 4 oz of corn

Step-by-step explanation:

2/8 equals 1/4. 4/16 equals 1/4

Answer:

4 corn for every serving

Step-by-step explanation:

The most common way to write a ratio is as a fraction, 3/6. We could also write it using the word "to," as "3 to 6." Finally, we could write this ratio using a colon between the two numbers, 3:6. Be sure you understand that these are all ways to write the same number.

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:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

(Negative 1 and one-half, 3)

Answer:  

Step-by-step explanation:

15 2/6 or 15 1/3 (simplest form) because 3x6+5=23/6 x 4/1 = 92/6 converted to mixed number is 15 1/3

Answer:

D is the answer

Step-by-step explanation:

Answer:

There's 3 total decimal places in both numbers.

Ignore the decimal places and complete the multiplication as if operating on two integers.

   1 9

×     2

+   3 8

=  3 8    Rewrite the product with 3 total decimal places.

Answer = 0.038

Therefore:

0.19 × 0.2 = 0.038

Step-by-step explanation:

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:

Its 1

Step-by-step explanation:

Answer:

9+2b

Step-by-step explanation:

add like terms

Answer: 15

Step-by-step explanation:

Plug in 8 for e and solve

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

Answer:

12x-4= 2

Step-by-step explanation:

12x-4= 2

Add 4 to both sides

12x= 6

divide by 12

x= .5