3 years ago

Pls answer this asp pls guys with work if possible thx

Mathematics

1 answer:

Kamila [148]3 years ago

3 0

Part A. $6.00 - the shipping cost is increasing by 6.00

Part B - A

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A thermometer is taken from an inside room to the outside, where the air temperature is 20° f. after 1 minute the thermometer re

fomenos

The change in the temperature is proportional to the difference in temperatures. Let's call the initial temperature of the room and the thermometer $E_0$ and the current temperature $E(t)$ where $t$ is the elapsed time in minutes. The outside temperature is 20 F.

Newton's Law of Cooling:

$E(t) - 20 = (E_0 - 20) e^{- k t}$

We're given $E(1)=70 \textrm{ and } E(5)=45$

$70-20 = (E_0 - 20) e^{-k}$

$45-20 =(E_0 - 20) e^{-5k}$

Dividing,

$\dfrac{50}{25}=e^{4k}$

$k = \dfrac 1 4 \ln 2$

Now,

$E(t) - 20 = (E_0 - 20) e^{- k t}$

$E_0 = 20 + (E(t) - 20)e^{k t}$

$E_0 = 20 + (E(1) - 20)e^{k}$

$E_0 = 20 + (70 - 20)e^{\ln 2/4}$

$E_0 = 20 + 50 \cdot 2^{1/4} \approx 79.46 \textrm{ degrees F}$

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4 years ago

A building that is 100 ft tall casts a shadow that makes a 30 degree angle with the ground. Approximately how long, in feet, is

zhannawk [14.2K]

Rounds to about 58 use the 30 60 90 formula

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4 years ago

Saul Harrington is trying to decide between two banks. He plans to maintain a balance of $2000 in his checking account.

serg [7]

D. is the correct answer i belive:)

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4 years ago

Katy invests $18,000 at 14% simple interest for 1 year. How much is in the account at the end of the 1 year period? Answer: $___

Nitella [24]

Answer:

$20,520 at the end of the year

Step-by-step explanation:

A = P(1 + rt)

A = Total Accrued Amount (principal + interest)

P = Principal Amount

I = Interest Amount

r = Rate of Interest per year in decimal; r = R/100

R = Rate of Interest per year as a percent; R = r * 100

t = Time Period involved in months or years

P = $18,000

r = .14

t = 1

A = 18,000 (1+ ( .14 * 1 ) )

A = 18,000 (1 +.14)

A = 18,000 (1.14)

A = 20,520

$20,520 at the end of the year

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3 years ago

At a store, the cost of 5 pounds of carrots is $3.35. Which statement about the cost per pound of carrots is true?

madreJ [45]

Answer: C

Step-by-step explanation:

I divide 5 by 3.35 and got 1.49

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3 years ago

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