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pishuonlain [190]
3 years ago
13

What is -7 + 1/3 ? Plz help

Mathematics
1 answer:
butalik [34]3 years ago
4 0

-7 + 1/3 is -6.67

Step-by-step explanation:

  • Step 1: Find -7 + 1/3

-7 + 1/3 = -21 + 1/3

            = -20/3 = -6.67

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A savings account earns 6% simple interest per year. The principal is $800. What is the balance after 18 months?
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Answer:

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Step-by-step explanation:

Simple interest = Principle * Rate * Time / 100

= ( 800 * 6 * 18/12 ) / 100

= $ 72

The balance after 18 months = principle + interest

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Step-by-step explanation:

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Step-by-step explanation:

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3 years ago
The Ace Novelty company produces two souvenirs: Type A and Type B. The number of Type A souvenirs, x, and the number of Type B s
Molodets [167]

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Step-by-step explanation:

The method of Lagrange multipliers can solve this quickly. For objective function f(x, y) and constraint function g(x, y)=0 we can set the partial derivatives of the Lagrangian to zero to find the values of the variables at the extreme of interest.

These functions are ...

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The Lagrangian is ...

  \mathcal{L}(x,y,\lambda)=f(x,y)+\lambda g(x,y)\\\\\text{and the partial derivatives are ...}\\\\\dfrac{\partial \mathcal{L}}{\partial x}=\dfrac{\partial f}{\partial x}+\lambda\dfrac{\partial g}{\partial x}=4+\lambda (4x)=0\ \implies\ x=\dfrac{-1}{\lambda}\\\\\dfrac{\partial \mathcal{L}}{\partial y}=\dfrac{\partial f}{\partial y}+\lambda\dfrac{\partial g}{\partial y}=2+\lambda (1)=0\ \implies\ \lambda=-2

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Since x and y are in thousands, maximum profit is to be had when the company produces ...

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