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3 years ago

Factor Completely. x^4-81

Mathematics

1 answer:

worty [1.4K]3 years ago

4 0

(x^4+9)(x+3)(x-3) ; I hope this helps!!

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Rod is saving Php2000 in a bank at the end of each month which gives an interest of 1% compounded monthly.How much is the saving

agasfer [191]

Answer:

Php2040.38

Step-by-step explanation:

Given

$P = 2000$ --- Principal

$r = 1\%$ --- Rate

$t = 2\ years$ --- Time

$n = 12$ --- monthly

Required

Determine the amount at the end of two years

This is calculated as:

$A = P(1 + \frac{r}{n})^{nt}$

So, we have:

$A = 2000(1 + \frac{1\%}{12})^{12*2}$

$A = 2000(1 + \frac{1}{100*12})^{24}$

$A = 2000(1 + \frac{1}{1200})^{24}$

$A = 2000(\frac{1200+1}{1200})^{24}$

$A = 2000(\frac{1201}{1200})^{24}$

$A = 2000*1.02019$

$A = 2040.38$

Hence, the final amount is: Php2040.38

7 0

3 years ago

Find the solution of the system by graphing

zvonat [6]

Answer:

x = -2

y = -1

(-2, -1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS
Equality Properties

Algebra I

Solving systems of equations using substitution/elimination
Solving systems of equations by graphing

Step-by-step explanation:

Step 1: Define systems

y = x + 1

3x + 3y = -9

Step 2: Solve for x

Substitution

Substitute in y: 3x + 3(x + 1) = -9
Distribute 3: 3x + 3x + 3 = -9
Combine like terms: 6x + 3 = -9
Isolate x term: 6x = -12
Isolate x: x = -2

Step 3: Solve for y

Define original equation: y = x + 1
Substitute in x: y = -2 + 1
Add: y = -1

Step 4: Graph systems

Check the solution set.

6 0

3 years ago

If you are traveling 50 km per hour. How long would it take you to go 725 km

Shtirlitz [24]

Answer:

725/50= 14.5

14.5 hours is your answer

i think

6 0

3 years ago

She has 11 small bottles of sanitizer she wants to divide equally among 3 large containers

EleoNora [17]

Hello! To solve this exercise we have to divide the amount of the bottles by the number of containers, look:

$\frac{11}{3}\cong3.\bar{6}\bar{6}$

So, each recipient (container) has to receive the content of 3.66 bottles of sanitizer, approximately.

3 0

1 year ago

Rewrite without absolute value for the given conditions: y=|x-3|+|x+2|-|x-5|, if x>5

Wittaler [7]

Answer:

y = x + 4

Step-by-step explanation:

Since x > 5, x-3 > 0, x + 2 > 0 and x - 5 > 0

So Ix - 3I = x - 3, Ix + 2I = x + 2 and x - 5 = x - 5

Therefore, y = x - 3 + x + 2 - x + 5

y = x + 4

5 0

3 years ago

Read 2 more answers