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3 years ago

3. Grace's hourly salary is $8. If Grace gets to

Mathematics

1 answer:

My name is Ann [436]3 years ago

6 0

Answer:

Step-by-step explanation:

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A detective finds a victim of murder at 9 am. At that time, the temperature of the body is 90.3 degrees F. One hour later, the b

LekaFEV [45]

Answer:

Step-by-step explanation:

Given

at 9 am temperature of the body is $90.3^{\circ}F$

1 hr later temperature $89^{\circ}F$

Temperature of room $T=68^{\circ}F$

According to newtons law

$\frac{\mathrm{d} T}{\mathrm{d} t}=-k\left ( T-T_{room}\right )$

$\frac{\mathrm{d} T}{\mathrm{d} t}=-k\left ( T-68\right )$

$\frac{dT}{T-68}=-kdt$

Integrating

$=\int \frac{dT}{T-68}=-kdt$

$\ln |T-68|=-kt+c$

$T-68=Ae^{-kt}$

Now at 9 am i.e. t=0,

$90.3=A+68$

$A=22.3$

At 10 am i.e. t=1 hr T=89

$89-68=22.3e^{-k}$

$e^{-k}=21$

$k=0.06006$

Temperature of Normal human body is $T=98.6 ^{\circ}F$

$98.6-68=e^{-0.06006t}$

$30.6=e^{-0.06006t}$

Taking log both sides

$t=-5.27$

i.e. 5 hr and 16.2 min

i.e. victim murdered at 3 am and 43.8 min

7 0

3 years ago

The question is in the picture, someone please answer this.

Lemur [1.5K]

Answer:

1) 25x + 15y = 750

2) 25. On a graph it would look like : (25,0)

3) 15. On a graph it would look like : (15,0)

4) 25x - 750 = 15y or 15y - 750 = 25x

Step-by-step explanation:

6 0

2 years ago

Looking for some furniture for her new apartment, Susan visits the local swap meet in search of something cheap. Knowing that mo

liraira [26]

Using the formula for interest:

F = P (1 + r/n)^t

Where:
F = future value
P = Principal value
r = interest rate per year
n = interest period
t = duration

Substituting the given values:
F = 200 (1 + 0.32/12)^1
F = 205.33

To obtain the interest, we subtract the principal value from the future value. This is shown below:

Interest = 205.33 - 200 = 5.33

Among the choices, the answer is A.

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3 years ago

The sale price of an item is $160 after a 20% discount. What was the original price of the item?

Vlad1618 [11]

Answer:

200 sorry read that wrong

Step-by-step explanation:

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3 years ago

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Please say which goes where.. 20 POINTS!!

Alisiya [41]