2 years ago

What are the steps for finding simple interest?

Mathematics

1 answer:

Delicious77 [7]2 years ago

7 0

Can you please include a pic

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3 years ago

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Function 1 is represented by a verbal description and function 2 is given by an equation

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If a cup of coffee has temperature 97Â°C in a room where the ambient air temperature is 25Â°C, then, according to Newton's Law o

FinnZ [79.3K]

Answer:

The average temperature is $T_{a} = 81.95^oC$

Step-by-step explanation:

From the question we are told that

The temperature of the coffee after time t is $T(t) = 25 + 72 e^{[-\frac{t}{45} ]}$

Now the average temperature during the first 22 minutes i.e fro $0 \to 22$ minutes is mathematically evaluated as

$T_{a} = \frac{1}{22-0} \int\limits^{22}_{0} {25 +72 e^{[-\frac{t}{45} ]}} \, dx$

$T_{a} = \frac{1}{22} [25 t + 72 [\frac{e^{[-\frac{t}{45} ]}}{-\frac{1}{45} } ] ] \left| 22} \atop {0}} \right.$

$T_{a} = \frac{1}{22} [25 t - 3240e^{[-\frac{t}{45} ]} ] \left | 45} \atop {{0}} \right.$

$T_{a} = \frac{1}{22} [25 (22) - 3240e^{[-\frac{22}{45} ]} - (- 3240e^{0} )]$

$T_{a} = \frac{1}{22} [550 - 1987.12 + 3240]$

$T_{a} = 81.95^oC$

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2 years ago

What is the slope of the line represented by the equation y = -1/2x+1/4

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Step-by-step explanation:

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What is the answer Timothy curtain company is making curtains for a local hotel he wants each certain to be 48 inches long at th

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Answer:

180 feet

Step-by-step explanation:

The length of each curtain = 48 inches. Let the length of the curtain in feet be represented by x.

But,

1 inch = 12 feet

So that,

48 inches = x feet

⇒ x = $\frac{48}{12}$

= 4

Thus,

48 inches = 4 feet

The number of feet of fabric needed for 45 curtains can be determined as:

45 x 4 feet = 180 feet

Therefore, 180 feet of fabric would be needed to make 45 curtains.

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2 years ago