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3 years ago

Why do we study patterns in mathematics

Mathematics

1 answer:

Mariulka [41]3 years ago

4 0

Patterns allow someone to make educated guesses.

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Adam had 91 dollar. If he spent 21 dollars on new books, what is the ratio of money he still has to money he's spent?

Alik [6]

1. Ratio- 91:21
2. Reduce- the common factor is 7
3. Answer- 13:3

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3 years ago

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100 POINTS<br><br> PLEASE PROVIDE STEPS<br> THANK YOU!!

kolbaska11 [484]

Answer:

Local minimum at x = 0.

Step-by-step explanation:

Local minimums occur when g'(x) = 0 and g"(x) > 0.

Local maximums occur when g'(x) = 0 and g"(x) < 0.

Set g'(x) equal to 0 and solve:

0 = 2x (x − 1)² (x + 1)²

x = 0, 1, or -1

Evaluate g"(x) at each point:

g"(0) = 2

g"(1) = 0

g"(-1) = 0

There is a local minimum at x = 0.

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3 years ago

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Sin430° x sin490° x sin530° = 1/8

nlexa [21]

Answer: 1/8

Step-by-step explanation:

https://math.stackexchange.com/a/1788346

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3 years ago

Please hurry! Please help!

OleMash [197]

I believe the answer is 4

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3 years ago

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Create an exponential to describe $100 at 2% interest, compounded annually, for x years. y=100(.98)^x y=100(.8)^x y=100(1.2)^x y

zysi [14]

The exponential to describe $100 at 2% interest, compounded annually, for x years is $y=100(1.02)^{x}$

<h3><u>Solution:</u></h3>

Given that $ 100 at 2 % interest , compounded annually for "x" years

<em><u>The formula for compound interest, including principal sum, is:</u></em>

$A=P\left(1+\frac{r}{n}\right)^{n t}$

A = the future value of the investment/loan, including interest

P = the principal investment amount (the initial deposit or loan amount)

r = the annual interest rate (decimal)

n = the number of times that interest is compounded per unit t

t = the time the money is invested or borrowed for

Here in this sum,

P = $ 100

$r = 2 \% = \frac{2}{100} = 0.02$

number of years = x

Here given that compounded annually , so n = 1

Let "y" be the amount after "x" years

Substituting the values in formula we get,

$\begin{aligned}&y=100\left(1+\frac{0.02}{1}\right)^{1 \times x}\\\\&y=100(1+0.02)^{x}\\\\&y=100(1.02)^{x}\end{aligned}$

Thus the exponential to describe is $y=100(1.02)^{x}$

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3 years ago