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sergey [27]
3 years ago
12

If an original conditional statement is represented by p → q, which represents the contrapositive?

Mathematics
1 answer:
sveta [45]3 years ago
8 0

Answer:

the answer is b

Step-by-step explanation:

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Which expressions are equivalent to 10a - 25 + 5b
sergey [27]

Answer:

<h2>(2a − 5 + b) · 5</h2><h2>10×(a − 2.5 + 0.5b)</h2><h2>(−2a + 5 − b) ⋅ (−5)</h2>

Step-by-step explanation:

10a-25+5b\\\\-2(-5a-25+5b)=(-2)(-5a)+(-2)(-25)+(-2)(5b)\\=10a+50-10b\qquad NOT\\\\(2a-5+b)(5)=(2a)(5)+(-5)(5)+(b)(5)=10a-25+5b\qquad YES\\\\10(a-2.5+0.5b)=(10)(a)+(10)(-2.5)+(10)(0.5b)\\=10a-25+5b\qquad YES\\\\(-2a+5-b)(-5)=(-2a)(-5)+(5)(-5)+(-b)(-5)\\=10a-25+5b\qquad YES\\\\-10(-a-2.5-0.5b)=(-10)(-a)+(-10)(-2.5)+(-10)(-0.5b)\\=10a+25+5b\qquad NOT

5 0
3 years ago
Jill invested $20,000 in an account that earned 5.5% annual interest, compounded annually. What is the value of this account aft
noname [10]

The value of this account in 10 years is given by the formula:

FV = P*(1+r)^t

where FV is the future value in the account after 10 years(to be calculated)

P is the principal invested at the beginning

r is the interest rate and

t is the time horizon in years

Given, Invested Amount (P) = 20,000

Interest rate (r) = 5.5% = 0.055

Time horizon (t) = 10 years = 10

Substituting the formula, FV = 20,000*(1+0.055)^10 = 20,000*1.055^10 = 20,000*1.708144458 =  34,162.89

The value of this account after 10 years =$34,162.89 (Rounded to the nearest cent)

7 0
3 years ago
Question 2 please help me
Rudiy27

Answer:

D. 0.682

Step-by-step explanation:

3 0
3 years ago
Juan is a teacher who has an annual salary of 65,798. how has to pay an income tax of 5%. What is the amount of state income tax
charle [14.2K]
He has to pay $3,289.90
7 0
2 years ago
Which of the following are solutions to | x-1|= 5x + 2 ? Check all that apply.
agasfer [191]

By definition of absolute value, if x-1\ge0, then |x-1|=x-1, so

|x-1|=5x+2\implies x-1=5x+2\implies4x=-3\implies x=-\dfrac34

On the other hand, if x-1, then |x-1|=-(x-1)=1-x, and

|x-1|=5x+2\implies1-x=5x+2\implies6x=-1\implies x=-\dfrac16

4 0
2 years ago
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