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Llana [10]
3 years ago
12

Allen is trying to buy sneakers he has $50 to spend he finds a pair that he really likes that cost $58 if he has a 20% coupon ca

n he afford the sneakers
Mathematics
1 answer:
svetoff [14.1K]3 years ago
4 0
First you would multiply 58 by .20 and you would receive 11.6
next you would subtract 11.y from 58 and get 46.4
so yes Allen can afford the sneakers
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Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in t
makkiz [27]

Answer:

Step-by-step explanation:

x + 2y + 3z = 12

z=\frac{12-x-2y}{3}

Volume = V=f(x,y) = xy(\frac{12-x-2y}{3} )

find partial derivatives using product rule

f_x =\frac{y}{3} (12-2x-2y)\\f_y = \frac{x}{3} (12-x-4y)

i.e.

Using maximum for partial derivatives, we equate first partial derivative to 0.

y=0 or x+y =6

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Of these D the II derivative test gives

D<0 only for (4,2)

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3 years ago
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3 years ago
State the converse, contrapositive, and inverse of each of these conditional statements a) If it snows tonight, then I will stay
marissa [1.9K]

Step-by-step explanation:

Consider the provided information.

For the condition statement p \rightarrow q or equivalent "If p then q"

  • The rule for Converse is: Interchange the two statements.
  • The rule for Inverse is: Negative both statements.
  • The rule for Contrapositive is: Negative both statements and interchange them.

Part (A) If it snows tonight, then I will stay at home.

Here p is If it snows tonight, and q is I will stay at home.

Converse: If I will stay at home then it snows tonight.

q \rightarrow p

Inverse: If it doesn't snows tonight, then I will not stay at home.

\sim p \rightarrow \sim q

Contrapositive: If I will not stay at home then it doesn't snows tonight.

\sim q \rightarrow \sim p

Part (B) I go to the beach whenever it is a sunny summer day.

Here p is I go to the beach, and q is it is a sunny summer day.

Converse: It is a sunny summer day whenever I go to the beach.

q \rightarrow p

Inverse: I don't go to the beach whenever it is not a sunny summer day.

\sim p \rightarrow \sim q

Contrapositive: It is not a sunny summer day whenever I don't go to the beach.

\sim q \rightarrow \sim p

Part (C) When I stay up late, it is necessary that I sleep until noon.

P is I sleep until noon and q is I stay up late.

Converse: If I sleep until noon, then it is necessary that i stay up late.

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Inverse: When I don't stay up late, it is necessary that I don't sleep until noon.

\sim p \rightarrow \sim q

Contrapositive: If I don't sleep until noon, then it is not necessary that i stay up late.

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7 0
3 years ago
Shaquil needs to borrow $400. The loan company charges him $80 in fees for the loan. Shaquil calculates that the annual percenta
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Answer:

(B)  

Step-by-step explanation:

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t = time (in days) = t/365

By using the formula,

r = \frac{i}{pt}

2.5 = \frac{80*365}{400*t}

t = \frac{364*80}{400*2.5}

t = 29.2

t = 29 days (approx)

Hence option (B) is correct.


6 0
3 years ago
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