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DochEvi [55]
3 years ago
11

A major credit card company requires monthly payments equal to or greater than 8% of the total balance.A consumer has a credit c

ard balance of $320. Write an inequality that represents acceptable payment amounts.
Mathematics
1 answer:
valina [46]3 years ago
7 0

Answer:

320 x 0.08 = X

In the case, a payment equal to or greater than $ 25.60 would be considered acceptable by the company.

Step-by-step explanation:

Given that a major credit card company requires monthly payments equal to or greater than 8% of the total balance, and a consumer has a credit card balance of $ 320, the following calculations must be performed to determine an inequality that represents acceptable payment amounts:

320 x 0.08 = X

25.6 = X

Thus, in the case, a payment equal to or greater than $ 25.60 would be considered acceptable by the company.

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The measurement of the edge of a cube is measured to be 12 inches, with a possible error of 0.03 inch. Use differentials to appr
adoni [48]

Answer:

A) possible error = 12.992

Possible values for the volume [1715,007,1740.992]

B) possible error = 4.325

Possible values for the surface area [859,675,868,325]

Step-by-step explanation:

The volumen of a cube is the cube of the length of a side. Thus, the meassurement of the volume is 12³ = 1728 inches³. To calculate the error, lets call Y the real value of the length,

Y = X + e, where e is the error and X = 12.

Y³ = (X+e)³ = X³ + 3X²e + 3Xe² + e³

the error is 0.03 inches, so we have that

Y³ = X³ + 12.96+0.0324+ 0.000027 = X³+12.992427 = X³+12.992 (rounded to 3 decimal places).

Thus, the absolute possible error is Y³- X³ = 12.992, and the volume of the cube is contained in the interval [X³-12.992,X³+12.992] = [1715,007,1740.992]

B) The surface area is 6 X². With X meassured as 12, the surface area is meassured by 6*12² = 864.

To calculate the absolute error, we take Y = X+e, with X and e as before. We have

6 Y² = 6*(X+e)² = 6X²+12Xe+6e² = 6X²+4.32+0.0054 = 6X²+4.3254

Hence, the absolute error is bounded by 6Y²-6X² = 4.3254 rounded by 4.325, and the value of the surface area is contained in the interval [6X² -4.325, 6X²+4.325] = [859,675, 868,325]

3 0
3 years ago
Gary earned a gross pay of $1,047.30 last week. Using the fact that Social Security tax is 6.2% of gross pay, determine the amou
GrogVix [38]
SS tax is 6.2% of 1,047.30

In math "of" means times, so

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Rounded to the nearest cent $64.93
4 0
3 years ago
Let C represent the number of hours when the sky is cloudy and L represent the number of hours when the sky
bixtya [17]

Answer:

Step-by-step explanation:A large solar panel can generate power at a maximum rate of 400400400 kilowatts per day. It generates power at a constant rate when the sky is cloudy, and it generates power at a constant rate when the sky is clear. Let CCC represent the number of hours when the sky is cloudy and LLL represent the number of hours when the sky is clear during which the solar panel can generate power without exceeding its capacity. 5C+32L \leq 4005C+32L≤4005, C, plus, 32, L, is less than or equal to, 400 According to the inequality, at what rate does the solar panel generate power when the sky is cloudy, and at what rate does it generate power when the sky is clear?

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5 0
3 years ago
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ikadub [295]

Answer: x=112

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Answer:

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Step-by-step explanation:

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