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dezoksy [38]
3 years ago
10

Perform the operation and reduce the answer fully. make sure to express the answer as a simplified fraction

Mathematics
1 answer:
Alik [6]3 years ago
7 0

Answer:

\frac{3}{5}

Step-by-step explanation:

Given:

\frac{4}{5} \div \frac{4}{3}

Required:

Simplify

SOLUTION:

\frac{4}{5} \div \frac{4}{3}

Turn the division operation to multiplication, and flip the fraction by your right upside down

\frac{4}{5} \times \frac{3}{4}

4 cancels out 4

\frac{1}{5} \times \frac{3}{1}

\frac{1 \times 3}{5 \times 1}

\frac{3}{5}

Therefore, \frac{4}{5} \div \frac{4}{3} = \frac{3}{5}

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the Following table shows alexandra's investment options over the course of three years. Her initial investment was $1,000 . wri
Y_Kistochka [10]

The pattern in the given series of amount in the account are in the form of

arithmetic and geometric progression.

  • The function for Option 1 is;  \underline{ f(n) = 1,100 + (n - 1) \cdot 100}
  • The function for Option 2 is; \underline{f(n) = 1,100 \times  1.1^{(n - 1)}}

Reasons:

The given table of values is presented as follows;

\begin{tabular}{c|c|c|c|}Number of years&1&2&3\\Option 1 (Amount in dollars)&1,100&1,200&1,300\\Option 2 (Amount in dollars)&1,100&1,210&1,331\end{array}\right]

In Option 1, the amount in dollars for each year has a common difference of d = 100

The first term, a = 1,100

Therefore;

The Option 1 can be represented as an arithmetic progression , A.P. in the

form, tₙ = a + (n - 1)·d as follows;

For the Option 1, we have;

  • The amount in dollars after <em>n</em> years, \underline{ f(n) = 1,100 + (n - 1) \cdot 100}

For Option 2, it is possible to find;

1,331 ÷ 1,210 = 1,210 ÷ 1,100 = 1.1

Therefore;

The terms in the Option 2 have a common ratio of r = 1.1

The Option 2 is a geometric progression, G.P.

The first term in Option 2 is a = 1,100

Which gives, the nth term, tₙ = a·r⁽ⁿ ⁻ ¹⁾

Therefor;

  • The function for the Option 2 is; \underline{f(n) = 1,100 \times  1.1^{(n - 1)}}

Learn more about arithmetic and geometric progression here:

brainly.com/question/8932895

brainly.com/question/22977503

4 0
2 years ago
A. Does the relationship of weeks passed and total number of followers represent a linear function? (0.5 points) B. What is the
vodomira [7]

The terms "linear function" in mathematics apply to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.

a) Yes it does, because the graph of their relationship is a Straight line

b) Independent variables are variables whose variation does not depend on another. Number of works does not depend on followers. Therefore, it is independent

C)number of followers depend on the number of locks passing. It is dependent.

D) Slope = (Y₂- Y₁)/(x₂-x₁) = (100-82)/ (3-0) =  18/3 = 6

It represents the increase in number of followers per week,

E) y-intercept is value of y when x=0

y-intercept = 82. It means his initial number of followers

F) Slope-intercept form → y = mx + c m = slope горе C = y-intercept y = no of followers x= weeks.

Y=6x+82

Learn more about linear function here:

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7 0
1 year ago
What is the reciprocal of 7/11 in simpliest form
Leona [35]

Answer:

11/7is your <em>answer</em><em> </em><em>.</em><em>.</em><em>.</em><em>.</em>

Step-by-step explanation:

hope its help you

8 0
3 years ago
Write the coordinates of a point whose Abcissa is -7 and ordinate is -2​
Ksivusya [100]

Answer:

Abcissa = X, and Ordinate = Y

(-7,-2)

Is the answer

8 0
2 years ago
2<br> 1 point<br> Find UV.<br> U V<br> 56<br> 45<br> --D<br> W
Tomtit [17]

Answer:

11

Step-by-step explanation:

UV=UW-VW=56-45=11

5 0
1 year ago
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