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Rasek [7]
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?
Mathematics
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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A cake company makes chocolate and vanilla cakes. The ratio of chocolate cakes to vanilla cakes is 3:4. What is the ratio of the
aleksley [76]

Answer:

4:7

Step-by-step explanation:

4:7

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

there are 4 vanilla cakes.

therefore, the ratio of vanilla cakes to the total number of cakes is 4:7.

6 0
3 years ago
Find the indicated angle . (Use either the Law of Sines or the Law of Cosines, as appropriate. Assume a = 16, c = 12, and ∠C = 4
mote1985 [20]
Use the law of sines
11/sin50°=13/sinθ
11/0.766=13/sinθ
11sinθ=13(0.766)
11sinθ=9.958
sinθ=9.958/11
sinθ=0.9052727
use arcsin on your calculator
θ=64.86°
7 0
2 years ago
4(x-2)+2x = 10
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}

And So the Final Answer is:

x = 3

8 0
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

y = 14

Therefore, m∠M = (4y - 15)°

                           = 4(14) - 15

                           = 56 - 15

                           = 41°

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

-

\underline{6x-3y=-12}

5y=10

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

6x-6+6=-12+6

6x=-6

Divide both sides by 6

\frac{6x}{6}=\frac{-6}{6}

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.

6 0
3 years ago
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