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algol13
3 years ago
7

Rearrange the formula to make a the subject

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
7 0

Answer:

Step-by-step explanation:

p = (3n + a)/(n + a)

Cross multiply

p(n + a) = 3n +a

pn + pa = 3n + a

pa - a = 3n - pn

a(p - 1) = n(3 - p)

Dividing by p - 1

a = n(3 - p)/(p - 1)

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Lynn is a single mother with two children's . She qualifies to file as head of household her total income was $27267 last year h
storchak [24]

Answer:

$3,078.04

Step-by-step explanation:

-Given her income is $27,267, she falls under the 10% and 12% brackets with the following boundaries as attached.

-Her tax is then calculated as;

#10% bracket;

Tax=Taxable \ Income \times Tax \ Rate\\\\=9700\times 10\%\\\\\\=\$970.00

#12% Tax bracket:

Tax=Taxable \ Income \times Tax \ Rate\\\\=(27267-9700)\times 12\%\\\\\\=\$2108.04

The total tax=970+2108.04=$3,078.04

Hence, Lynn owes $3,078.04 in taxes.

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3 years ago
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Yuliya22 [10]

Answer:

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Step-by-step explanation:

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2 years ago
Write a conditional statement. Write the converse, inverse and contrapositive for your statement and determine the truth value o
photoshop1234 [79]
A conditional statement involves 2 propositions, p and q. The conditional statement, is a proposition which we write as: p⇒q,

and read  "if p then q" 



Let p be the proposition: Triangle ABC is a right triangle with m(C)=90°.

Let q be the proposition: The sides of triangle ABC are such that 

|AB|^2=|BC|^2+|AC|^2.


An example of a conditional statement is : p⇒q, that is:

if Triangle ABC is a right triangle with m(C)=90° then The sides of triangle ABC are such that |AB|^2=|BC|^2+|AC|^2


This compound proposition (compound because we formed it using 2 other propositions) is true. So the truth value is True, 


the converse, inverse and contrapositive of p⇒q are defined as follows:

converse: q⇒p
inverse: ¬p⇒¬q (if [not p] then [not q])
contrapositive: ¬q⇒¬p

Converse of our statement:

if The sides of triangle ABC are such that |AB|^2=|BC|^2+|AC|^2
then Triangle ABC is a right triangle with m(C)=90°

True


Inverse of the statement:

if Triangle ABC is not a right triangle with m(C) not =90° then The sides of triangle ABC are not such that |AB|^2=|BC|^2+|AC|^2

True


Contrapositive statement:

if The sides of triangle ABC are not such that |AB|^2=|BC|^2+|AC|^2  then Triangle ABC is not a right triangle with m(C)=90°


True









4 0
3 years ago
What are prime numbers​
Tasya [4]

Answer:

2, 3, 5, 7 and 11 are the first few prime numbers.

Step-by-step explanation:

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Answer:

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