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Norma-Jean [14]
2 years ago
10

Steven warms a cup of a coffee to a temperature of 195°F and then leaves it to cool in a room that is 75°F. This equation repres

ents the
temperature, T, of the coffee in the cup after x minutes.
T = 75 + 120e-0.051
After how many minutes will the temperature of the coffee be approximately 141°F?
Mathematics
2 answers:
serg [7]2 years ago
7 0

Answer:

12 minutes

Step-by-step explanation:

worty [1.4K]2 years ago
6 0

Answer:

12 minutes

Step-by-step explanation:

First substitute 141°F for T in the given equation.

Then isolate the exponential term.

Now rewrite the equation as a natural log, and solve for x.

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Can someone help with this
Llana [10]

Answer:

132in^{2}

Step-by-step explanation:

6 x 20 = 120

10 - 6 = 4 and (8+6) - 20 = 6

(4 x 6) / 2 = 12

120 + 12 = 132

8 0
3 years ago
A new furnace for your small factory will cost $29,000 and a year to install, will require ongoing maintenance expenditures of $
Neporo4naja [7]

Answer:

Net present value is $61,058.

Step-by-step explanation:

Net present value is the difference between present value of cash inflows and the present value cash outflows over the period of time. NPV method is used in capital budgeting to analyze profitability of the project.

Less: initial cost is $29,000

Add: Year 1: Cost saving due to new furnace is $5,600 (2,800 oil gallons * $ 2 per gallon)

Year 2: Cost saving due to new furnace is $7,000 (2,800 oil gallons * $ 2.50 per gallon)

Year 3- 20: Cost saving due to new furnace is $8,400 (2,800 oil gallons * $ 3 per gallon)

Less : Maintenance expenditure is $1,200

The furnace will benefit for 20 years and the price per gallon will increase by $0.50 year.

The annuity factor is applied at discount factor of 6% and then present value of each cash inflow and outflow is calculated. The net present value is $61,058.

8 0
3 years ago
Please answer my question what's 6x___=92? Answer it fast
Anuta_ua [19.1K]
Just divide 92 by 6 it gives you 15.33333
5 0
2 years ago
HENRY COUNTED 350 LOCKERS IN HIS SCHOOL.
telo118 [61]
Using the method of checking each answer to see if it is possible that they are correct. 

The 3 in the 350 can also be referred to as just 300 because it a 3 in the hundreds place. Also because if the rest of the numbers following the "3" were zeros the number would be 300.
The 3 in the 403 can be just referred to as 3 because there are no other numbers following it, and the 3 is in the ones place. 

A. THE 3 IN 350 IS 10 TIMES THE VALUE OF THE 3 IN 403
-Saying that 300 is ten times greater than 3-
To check that would mean that:
300 = 3x10
300=30
300≠30
ANSWER A DOES NOT WORK BECAUSE 300 DOES NOT EQUAL 30

B: THE 3 IN 350 IS 100 TIMES THE VALUE OF THE<span> 3</span><span> IN 403
</span>-Saying that 300 is one hundred times greater than the 3-
To check that would mean that:
300=3(100)
300=300
ANSWER B WORKS AND IS THE CORRECT ANSWER BECAUSE 300=300

C: THE 3 IN 403 IS 10 TIMES THE VALUE OF THE 3 IN 350
-Saying that the 3 in ten times greater than the value of 300-
To check that would mean that:
3=300x10
3=3000
3≠3000
ANSWER C DOES NOT WORK BECAUSE 3 IS NOT EQUAL TO 3000

<span>D: THE 3 IN 403 IS 100 TIMES THE VALUE OF THE 3 IN 350
-Saying that 3 is one hundred times greater than 300-
To check that would mean that:
3=300(100)
3=30000
3</span>≠30000
ANSWER D DOES NOT WORK BECAUSE 3 IS NOT EQUAL TO 30000

THE CORRECT ANSWER IS B

5 0
3 years ago
The yellow is sub 10 from both sides
PSYCHO15rus [73]
Yellow, subtract 10 from both sides
4 0
2 years ago
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