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4 years ago

9

In 1983, a year-long newspaper subscription cost $12.75. Today, a year-long newspaper subscription costs $28.50. If the CPI is 1

93, what is the relation of the actual price of a year-long newspaper subscription to the expected price, to the nearest cent?

1 answer:

disa [49]4 years ago

8 0

The CPI or the Customer Price Index is calculated through the equation,
CPI = (price at a certain year/ price at the base year) x 100
If our base year is 1983, the price of a year-long newspaper subscription will cost,
193 = (price at a certain year / 12.75) x 100
price at a certain year = $24.6075
Thus, the current price which is $28.50 is slightly higher than the expected price based on the given CPI.

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aleksley [76]

Answer:

4:7

Step-by-step explanation:

4:7

they make 7 cakes in total (3:4 = 7).

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3 years ago

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mote1985 [20]

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2 years ago

sleet_krkn [62]

Answer:

x = 3

Step-by-step explanation:

Given:

$4(x-2)+2x=10$

Step 1: $4x-8+2x=10$

Step 2: $4x+2x-8=10$

Step 3: $4x+2x-8+8=10+8$

Now Solving for next steps we get

Step 4: $6x=18$

dividing both side by 6 we get

Step 5: $\frac{6x}{6} =\frac{18}{6}$

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x = 3

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4 years ago

Use the figure to find the angle m

nordsb [41]

Answer:

Measure of angle M = 41°

Step-by-step explanation:

From the figure attached,

NM ≅ NO [Given]

Therefore, ∠O ≅ ∠M [Opposite angle of the equal sides]

By triangle sum theorem,

m∠O + m∠N + m∠M = 180°

m∠O + m∠N + m∠O = 180° [Since, ∠M ≅ ∠O]

By substituting the values of the given angles,

(4y - 15)° + (7y)° + (4y - 15)° = 180°

(15y - 30) = 180

15y = 210

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Therefore, m∠M = (4y - 15)°

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6 0

3 years ago

Are the equations 2x - y = - 4 and 3x + y = -1 dependent, independent or neither

steposvetlana [31]

Answer:

From the above calculations, it is clear that the consistent system has exactly one solution i.e. x = -1, y =2, therefore, it is independent.

Step-by-step explanation:

Given the system of equations

$\begin{bmatrix}2x-y=-4\\ 3x+y=-1\end{bmatrix}$

$\mathrm{Multiply\:}2x-y=-4\mathrm{\:by\:}3\:\mathrm{:}\:\quad \:6x-3y=-12$

$\mathrm{Multiply\:}3x+y=-1\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:6x+2y=-2$

$\begin{bmatrix}6x-3y=-12\\ 6x+2y=-2\end{bmatrix}$

$6x+2y=-2$

$-$

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so the system of equations becomes

$\begin{bmatrix}6x-3y=-12\\ 5y=10\end{bmatrix}$

solving 5y = 10 for y

$5y=10$

Divide both sides by 5

$\frac{5y}{5}=\frac{10}{5}$

simplify

$y=2$

$\mathrm{For\:}6x-3y=-12\mathrm{\:plug\:in\:}y=2$

$6x-3\cdot \:2=-12$

$6x-6=-12$

Adding 6 to both sides

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$6x=-6$

Divide both sides by 6

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$x=-1$

Therefore, the solution to the system of equations be:

$x=-1,\:y=2$

From the above calculations, it is clear that the consistent system has exactly one solution i.e. x = -1, y =2, therefore, it is independent.

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3 years ago