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Olin [163]
3 years ago
6

If we put a cool object into a preheated oven, Newton's law of heating tells us that the difference between the temperature of t

he oven and the temperature of the object decreases exponentially with time. The percentage rate of decrease depends on the material that is being heated. Suppose a potato initially has a temperature of 75 degrees and the oven is preheated to 375 degrees. Use the formula
D = 300 � 0.98t,
where D is the temperature difference between the oven and the potato, t is the time in minutes the potato has been in the oven, and all temperatures are measured in degrees Fahrenheit.
What is the temperature of the potato after 20 minutes? (Round your answer to the nearest degree.)
- I'm slightly confused by this problem because when I put D=300 times 0.98^20 it gives me 200 and it says this answer is wrong. What am I doing wrong is 20 not what i plug in for t?
Mathematics
1 answer:
Anastaziya [24]3 years ago
3 0

Answer:

  potato temperature: 175 degrees

Step-by-step explanation:

You have to read all the words.

The formula is for the difference in temperature between oven temperature and potato temperature. Your calculation of 200 degrees difference is correct. Now you need to convert that to the potato temperature by subtracting that difference from the oven temperature of 375 degrees:

  oven temp - temp difference = potato temp

  375 - 200 = 175 = potato temperature

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3) Lane and Zack purchased a house for $245,000 in 2016. The house loses 4% of its value each year,
alina1380 [7]

Answer:

$138,345

Step-by-step explanation:

This is a compound decline problem, which will be solve by the compound formula:

F=P(1-r)^t

Where

F is the future value (value of house at 2030, 14 years from  2016)

P is the present value ($245,000)

r is the rate of decline, in decimal (r = 4% = 4/100 = 0.04)

t is the time in years (2016 to 2030 is 14 years, so t = 14)

We substitute the known values and find F:

F=P(1-r)^t\\F=245,000(1-0.04)^{14}\\F=245,000(0.96)^{14}F=138,344.96

Rounding it up, it will be worth around $138,345 at 2030

8 0
3 years ago
It says 7/6x= 140 I am lost can somebody please help me
kobusy [5.1K]
7/6x=140

since variable x is multiplied by 7/6, find x by multiplying by the inverse of 7/6 which is 6/7.

7/6x × 6/7 = 140 × 6/7
x= 120
8 0
3 years ago
What is the translation shown in the following graph?
Phoenix [80]

Answer:

(x - 4, y + 3)

Step-by-step explanation:

This is because when you follow the movement of the individual points you can see that they have moved 3 spaces up which is shown as y + 3, and they have moved 4 spaces to the left which is shown as x - 4

6 0
4 years ago
Read 2 more answers
What is the Graph of f(x)=2x^2
Sergio039 [100]
See attachment for your your Answer

8 0
3 years ago
Plsss I need it urgently!!!
Vanyuwa [196]

Answer:

x = 7

y = 37

Step-by-step explanation:

congruent triangle LMN == PQR

Angle NLM = Angle RPQ

3x + 24 = 7x - 4

28 = 4x

x = 7

Angle LNM = Angle PRQ

2x + y = 180 - 84 - (7x - 4)

14 + y = 96 - (49 - 4)

14 + y = 51

y = 37

check answer

Angle LNM = 14 + 37 = 51

Angle NLM = 21 + 24 = 45

Angle LMN = 84

3 angles get a sum of 180

5 0
2 years ago
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