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3 years ago

Write an equation for the n th term of the arithmetic seqeuence. Then find a{10}. 100,110,120,130

Mathematics

1 answer:

lord [1]3 years ago

7 0

Answer:

100+10n

Step-by-step explanation: a(10)

100+10(10)

100+100 = 200

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Find the volume of the given solid region in the first octant bounded by the plane 9z+15y+15z=45 and the coordinate planes, usi

dem82 [27]

First,

$9x+15y+15z=45\implies 3x+5y+5z=15$

The volume is given by the integral (one of 6 possible combinations),

$\displaystyle\int_0^5\int_0^{\frac{15-3x}5}\int_0^{\frac{15-3x-5y}5}\mathrm dz\,\mathrm dy\,\mathrm dx=\boxed{\frac{15}2}$

3 0

2 years ago

Shirtbarn is having a sale where everything in the store is 40% off. How much will be saved by purchasing $224 of cloths be at t

Hoochie [10]

Answer:

$89.60 will be saved by purchasing $224 of cloths be at the register

Step-by-step explanation:

This problem can be solved by a rule of three.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.

In this problem, we have the following measures:

-The total money

-The percentage of money

As the percentage of money increases, so does the total money. It means that the relationship between the measures is direct.

The problem states that Shirtbarn is having a sale where everything in the store is 40% off. It means that in every purchase, you save 40% of the money.

How much will be saved by purchasing $224 of cloths be at the register?

40% of 224 will be saved. So

$224 - 1

$x - 0.4

x = 224*0.4

x = $89.60

$89.60 will be saved by purchasing $224 of cloths be at the register

6 0

2 years ago

Professional ethics can best be defined by what? 1 Rules of right living 2 Reflective decision-making 3 Rules promulgated by pro

arsen [322]

Answer:

Step-by-step explanation:

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3 years ago

Write the equation of the line in the slope intercept form?

wolverine [178]

Answer:

the y intercept is 4

and frm that point to another spot on the line you go DOWN one unit (negative)

and two units to positive (to the right) thus the slope is - 1 (down) and 2 positive to the right

-1/2 = slope

y = -1/2 + 4

Step-by-step explanation:

7 0

2 years ago

Suppose that each day a company has fixed costs of 400 dollars and variable costs of 0.8x+1420 dollars per unit, where x is the

Bess [88]

Answer:

Step-by-step explanation:

Given that a company fixed costs are 400 dollars

and variable cost = $0.8x+1420$ per unit and x the no of units produced

Selling price = $1500-0.25x$ per unit

a) Break even units

At break even units selling price = variable cost

$1500-0.25x=0.8x+1420\\1.05x = 80\\x=76.19~76$

Break even units = 76

b) Revenue = Sales - total costs

= $x(1500-0.25x)-(x)(0.8x+1420)-400\\= 1500x-0.25x^2-0.8x^2-1420x-400\\= -1.05x^2+80x-400$

Use derivative test to get max revenue

R'(x) = $-2.10x+80$

R"(X) <0

So maximum when I derivative =0 or when

$x=38.10$

x=38

c) price when x =38 is

$P = 1500-0.25(38)\\=1490.5$

5 0

3 years ago