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Nimfa-mama [501]
4 years ago
11

Angelo Gomez has a car loan of $315 per month at 6% annual interest rate. He would like to pay off the car two years early. Abou

t how much will his payoff be?
Mathematics
1 answer:
Lera25 [3.4K]4 years ago
6 0
The answer s 0.06 *315

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At Noise Pollution Cellular, plan A is $30.00 per month and $5.00 for every gigabyte of data. Plan B is $50.00 per month and $2.
Verdich [7]

We need to find an equation for each situation. Let x be the number of GB of data used.

Statement 1: At Noise Pollution Cellular, plan A is $30.00 per month and $5.00 for every gigabyte of data used.

Plan A cost equation C(x) = 30 + 5x

Statement 2: At Noise Pollution Cellular, Plan B is $50.00 per month and $2.00 for every gigabyte of data used.

Plan B cost equation C(x) = 50 + 2x

Number of GB of data for which both the plan A and plan B cost are <em><u>same</u></em>.

30+5x=50+2x \\ Subtracting \; 2x \; \& \;30\; on\; both\; sides\;  \\ \\30+5x-2x-30=50-30+2x-2x \\Combining \; like \; terms\\\\3x=20\\Dividing \; like \; terms\\\\ \frac{3x}{3}=\frac{20}{3} \\ \\x=6\frac{2}{3}

When

x=6 \\\\  Plan \; A \; Cost = 30+5(6)=30+30=\$60\\ Plan \; B \; Cost = 50+2(6)=50+12= \$72\\ \\ From \; 5\leq x\leq   6\frac{2}{3}  , \; Plan \; A \; is \; Cheaper!

When

x = 7\\\\   Plan \; A \; Cost= 30 + 5(7) =30+35 = \$65\\\\Plan \; B \; Cost = 50 + 2(7)=50+14=\$64 \\ \\ From \; 6\frac{2}{3}     \leq x \leq   8, \; Plan\; B \; is \; Cheaper !



6 0
4 years ago
Read 2 more answers
Which polynomial is equivalent to (z+3)^2
Leokris [45]

Answer:

z-3/z+3-z-9/z2+3z

Final result :

 3 • (z3 + z2 - z - 3)

 ———————————

          z2          

Step-by-step explanation:

Step  1  :

            9

Simplify   ——

           z2

Equation at the end of step  1  :

       3         9

 ((((z-—)+3)-z)-——)+3z

       z        z2

Step  2  :

           3

Simplify   —

           z

Equation at the end of step  2  :

          3                  9    

 ((((z -  —) +  3) -  z) -  ——) +  3z

          z                 z2    

Step  3  :

Rewriting the whole as an Equivalent Fraction :

3.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  z  as the denominator :

         z     z • z

    z =  —  =  ——

         1       z  

3 0
3 years ago
Use the compound interest formulas A = Pert and A = P(1+r/n)^nt to solve.
levacccp [35]
A = Pe^rt
P = 11,000 ; r = 6.25% ; t = 10 ; e = 2.7183 approximate

A = 11,000 e ^(0.0625 *10)
A = 11,000 e ^0.625
A = 11,000 * 2.7183^0.625
A = 11,000 * 1.868
A = 20,548

A = P (1 + r/n)^nt
P = 11,000 ; r = 6.3% ; n = 2 ; t = 10

A = 11,000 (1 + 0.063/2)^2*10
A = 11,000 (1 + 0.0315)^20
A = 11,000 (1.0315)^20
A = 11,000 (1.859)
A = 20,449

<span>$11,000 invested at 6.25% compounded continuously over 10 years yields the greater return. </span>
3 0
3 years ago
Which of the following would be the most logical first step to solving this
DIA [1.3K]

Answer:

The correct option is B:

Subtract 2 from both sides

Step-by-step explanation:

We have the equation x²-4x+16=2

The first step to solve this equation is:

Subtract 2 from both sides

We get;

x²-4x+16=2

x²-4x+16-2=2-2

x²-4x+14=0

Now this is the quadratic equation. You can use quadratic formula to solve this equation....

8 0
4 years ago
The graph represents the heights of two climbers on a climbing wall over a 12-minute time period.
pishuonlain [190]
D. both climbers rested on the wall for 2 minutes
5 0
4 years ago
Read 2 more answers
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