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jenyasd209 [6]
3 years ago
5

Pig 1 worked on his house 3 hours for a day for 10 days.How long did he work

Mathematics
1 answer:
WITCHER [35]3 years ago
3 0
He worked 30 hours in total
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Find the simple interest on 7,200 at 3/4% for 5 years​
lakkis [162]

Answer:

$7474.08

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

Simple Interest Rate Formula: \displaystyle A = P(1 + r)^t

  • A is final amount
  • P is principle (initial) amount
  • r is rate
  • t is time (in years)

Step-by-step explanation:

<u>Step 1: Define</u>

P = 7200

r = 0.75% = 0.0075

t = 5

<u>Step 2: Solve for </u><em><u>A</u></em>

  1. Substitute in variables [Simple Interest Rate Formula]:                               \displaystyle A = 7200(1 + 0.0075)^5
  2. (Parenthesis) Add:                                                                                          \displaystyle A = 7200(1.0075)^5
  3. Evaluate exponents:                                                                                       \displaystyle A = 7200(1.03807)
  4. Multiply:                                                                                                           \displaystyle A = 7474.08
7 0
3 years ago
Can you explain triangle congruence therom
Nesterboy [21]
There are five ways to find if two triangles are congruent: SSS, SAS, ASA, AAS and HL.
SSS (side, side, side) SSS stands for "side, side, side" and means that we have two triangles with all three sides equal. ...
SAS (side, angle, side) ...
ASA (angle, side, angle) ...
AAS (angle, angle, side) ...
HL (hypotenuse, leg)

Please visit this site for further information:
http://www.mathsisfun.com/geometry/triangles-congruent-finding.html
4 0
3 years ago
One root of f(x)=x^3-4x^2-20x+48 is x = 6. What are all the factors of the function? Use the Remainder Theorem.
luda_lava [24]

Answer:

(x - 6)(x + 4)(x - 2)

Step-by-step explanation:

since x = 6 is a root then (x - 6) is a factor

x³ - 4x² - 20x + 48 ÷ (x - 6)

= (x - 6)(x² + 2x - 8)

= (x - 6)(x + 4)(x - 2) ← factors of f(x)

7 0
3 years ago
Classify each sequence as arithmetic, geometric, or neither by dragging it into the correct box.
garik1379 [7]

The sequences are classified, respectively, as:

Geometric, Arithmetic, Neither.

<h3>What is a geometric sequence?</h3>

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

In the first sequence, we have that:

q = \frac{45}{15} = \frac{15}{5} = \frac{5}{\frac{5}{3}} = \frac{\frac{5}{3}}{\frac{5}{9}} = 3

Hence it is a geometric sequence.

<h3>What is an arithmetic sequence?</h3>

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

In the second sequence, we have that:

d = -4 - 1 = 1 - 6 = 6 - 11 = 11 - 16 = -5

Hence it is an arithmetic sequence.

<h3>What about the third sequence?</h3>

\frac{4}{3} \neq \frac{3}{2}, 1 - \frac{1}{2} \neq 2 - 1

Hence it is neither arithmetic nor geometric.

More can be learned about geometric and arithmetic sequences at brainly.com/question/11847927

#SPJ1

8 0
2 years ago
Solve x'=5t(sqrt(x)) x(0)=1
LekaFEV [45]

Answer:

2\sqrt{x}=\frac{5t^2}{2}+2

Step-by-step explanation:

Given: \frac{\mathrm{d} x}{\mathrm{d} t}=5t\sqrt{x}\,,\, x(0)=1

Solution:

A differential equation is said to be separable if it can be written separately as  functions of two variables.

Given equation is separable.

We can write this equation as follows:

\frac{dx}{\sqrt{x}}=5t\,dt

On integrating both sides, we get

\int \frac{dx}{\sqrt{x}}=\int 5t\,dt

Formulae Used:

\int \frac{1}{\sqrt{x}}=2\sqrt{x}\,\,,\,\,\int t\,dt=\frac{t^2}{2}

So, we get solution as 2\sqrt{x}=\frac{5t^2}{2}+C

Applying condition: x(0) = 1, we get C=2

Therefore, 2\sqrt{x}=\frac{5t^2}{2}+2

8 0
3 years ago
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