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Papessa [141]
3 years ago
6

imagine that you have a paycheck of $50 this week. if i tell you that i will increase your paycheck by 20% one from week from no

w and then 20% again two weeks from now what will be your new paychecks two weeks from now?
Mathematics
1 answer:
MrRissso [65]3 years ago
6 0

One week from now, the amount will be ...

... $50 + 0.20×$50 = $50 + 10 = $60

Two weeks from now, the amount will be ...

... $60 + 0.20×$60 = $60 + 12 = $72

_____

The first expression can be factored to be $50 × (1 + 0.20) = $50×1.2.

The second expression can be factored the same way to be $60×1.2, or ...

... ($50×1.2)×1.2 = $50×1.2²

... = $50×1.44 = $72

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Please help! <br> Simplify. Your answer should contain only positive exponents.
maxonik [38]

Answer:

\frac{1}{4k^3}

Step-by-step explanation:

It's already in a form that only ha positive exponents.  Just to state it though you could rewrite it as k*(4k^{4})^{-1} or k*4^{-1}*k^{-4}  The question asks for positive exponents though so yu don't need to do that.

You also need to know \frac{x^a}{x^b}=x^{a-b} so in this case \frac{k}{k^4}=\frac{k^1}{k^4} =k^{1-4}=k^{-3}=\frac{1}{k^3}

so \frac{k}{4k^4}=\frac{1}{4}*\frac{k}{k^4}=\frac{1}{4}*\frac{1}{k^3}=\frac{1}{4k^3}

3 0
3 years ago
It takes Ernesto 27 minutes to walk from his house to the
anygoal [31]
9:12 is when he left
6 0
4 years ago
What is the length of the hypotenuse of the trim angle ?
Ksju [112]

So for this, you'll be using the pythagorean theorem, which is leg^2+leg^2=hypotenuse^2 . In this case, 10 and 24 are the legs, and AB is the hypotenuse. Our equation will be 10^2+24^2=AB^2


Firstly, solve the exponents: 100+576=AB^2


Next, combine 100 and 576: 676=AB^2


And lastly, square root both sides to get 26=AB



And in short, Line AB is 26 ft, or the first option.

7 0
4 years ago
Pls help me pls, it's due tomorrow!!​
igomit [66]

Answer:

110º

Step-by-step explanation:

a triangle has 180º total

so 180-35-35

110

the missing angle in the traingle on top is congruent to angle b

6 0
3 years ago
Can someone please help me with these! I don’t understand them
Vera_Pavlovna [14]

Answer:

Question #1

m∠4 + m∠7 = 180° - Given.

∠4 and ∠7 are supplementary angles - Definition of supplementary angles.

∠7 and ∠2 form a linear pair - Definition of linear pair.

∠7 and ∠2 are supplementary angles - Definition of linear pair.

m∠7 + m∠2 = 180° - Definition of supplementary angles.

m∠2 = m∠4 - Substitution property.

c ║ d - Converse of corresponding angles postulate.

Question #2

m∠3 = m∠8 - Given.

∠8 and ∠6 form a linear pair - Definition of linear pair.

∠8 and ∠6 are supplementary angles - Definition of linear pair.

m∠8 + m∠6 = 180° - Definition of supplementary angles.

∠3 and ∠6 are supplementary angles - Substitution property.

m∠3 + m∠6 = 180° - Definition of supplementary angles.

Question #3

p ║ q - Given.

∠1 ≅ ∠5 - Given.

∠1 ≅ ∠2 - Alternate interior angle theorem.

∠2 ≅ ∠5 - Substitution property.

~Hope this helps!~

5 0
3 years ago
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