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Anni [7]
3 years ago
14

Suppose a life insurance policy costs $24 for the first unit of coverage and then $6 for each additional unit of coverage. Let C

(x) be the cost for insurance of x units of coverage. What will 10 units of coverage cost?
Mathematics
2 answers:
Maslowich3 years ago
6 0

Answer:

10 Units would cost $78

Step-by-step explanation:

We will be using the following equation to solve this problem

C(x) = 24+6(x-1)

Where x will be the amount of units of coverage that are sold. The equation subtracts 1 from the amount of units sold <u>(since the first unit costs $24)</u> and multiplies that by $6 which is the cost per unit. Then it adds $24 to that, which gives us the total cost.

Since we sold 10 units of coverage we plug that into the equation

C(10) = 24+6(10-1)

C(10) = 24+6(9)

C(10) = 24+54

C(10) = 78

So 10 units of coverage sold would cost $78

Xelga [282]3 years ago
4 0

Answer:

C(x) =24+6(z-1) where z is the total of units sold.

Therefore if z=10 units, the answer is: C(x)=24+6(10-1)

Or 24+6(9)

Or $78

Step-by-step explanation:

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Answer:

The standard form of y = 3 x + 1 is         -3x + y = 1 .

The standard form of y  = 4x - 7 is         -4x + y = -7.

Step-by-step explanation:

Here the given equation are:

y = 3 x + 1

and y  = 4x - 7

The above equations are of the form:  y = m x + C

Now, the STANDARD FORM of the equation is Ax + By  = C

<u>Consider equation 1: </u>

y = 3 x + 1

or, y - 3x  = 1

or. -3x + y = 1

⇒ The equation  -3x + y = 1  is in STANDARD FORM.

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y = 4 x - 7

or, y - 4x  = -7

or. -4x + y = -7

⇒ The equation -4x + y = -7 is in STANDARD FORM.

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Answer:

<em>The probability of the length of a randomly selected Cane being between 360 and 370 cm  P(360 ≤X≤370)    = 0.6851</em>

Step-by-step explanation:

<u>step(i)</u>:-

<em>Let 'X' be the random Normal variable</em>

<em>mean of the Population = 365.45</em>

<em>Standard deviation of the population = 4.9 cm</em>

<em>Let X₁ =  360</em>

<em></em>Z= \frac{x-mean}{S.D}= \frac{360-365.45}{4.9}<em></em>

<em>Z₁ = -1.112</em>

<em>Let X₂ =  370</em>

<em></em>Z= \frac{x-mean}{S.D}= \frac{370-365.45}{4.9}<em></em>

<em>Z₂ = 0.911</em>

<u><em>Step(ii</em></u><em>):-</em>

<em>The probability of the length of a randomly selected Cane being between 360 and 370 cm</em>

<em>                   P(x₁≤x≤x₂) =    P(z₁≤Z≤z₂) </em>

<em>                P(360 ≤X≤370)   =    P(-1.11≤Z≤0.911)</em>

<em>                                      =    P(Z≤0.911)-P(Z≤-1.11)</em>

<em>                                      =   0.5 +A(0.911) - (0.5-A(1.11)</em>

<em>                                        =    0.5 +A(0.911) - 0.5+A(1.11)</em>

<em>                                       =     A(0.911) + A(1.11)</em>

<em>                                     =    0.3186 + 0.3665</em>

<em>                                      = 0.6851</em>

<em>The probability of the length of a randomly selected Cane being between 360 and 370 cm  P(360 ≤X≤370)    = 0.6851</em>

<em></em>

<em></em>

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2 years ago
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