If a< c< b then a<c and c<b
Separate the equation into 2 separate ones and solve them:
X-9 < 4x +3
Subtract 3 from both sides:
X-12 < 4x
Subtract x from both sides:
-12< 3x
Divide both sides by 3:
X > -4
4x+3 < 27
Subtract 3 from both sides
4x < 24
Divide both sides by 4
X <6
Combine to get one inequality:
-4<x<6
Answer:
$90
Step-by-step explanation:
The principal amount in the loan taken by Sharon is $750 . Note hat the $20 processing fee is a one time cost and is not included in the interest calculation.
Annual Rate of interest offered to Sharon is 12%
Time interval for the loan transaction is 1 year.
So the interest for 1 year is given by \[Principal * Rate * Year /100\]
\[750 * 12 * 1 /100\] = $90
So, Sharon will have to pay $90 as interest for the loan amount $750 borrowed for one year at the rate 12%.
Using proportions, the selling prices are given as follows:
1. $46.92.
2. $15.29.
3. $17.16.
4. $20,280.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
To find the selling prices, we have to multiply the original prices by either 1.02(2% sales tax) or 1.04(4% sales tax), hence they are given as follows:
- 2. 14.99 x 1.02 = $15.29.
- 3. 16.50 x 1.04 = $17.16.
- 4. 19500 x 1.04 = $20,280.
More can be learned about proportions at brainly.com/question/24372153
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<span>1. How much heat is absorbed by a 50g iron skillet when its temperature rises from 10oC to 124oC? Joules
Formula: Heat = mass * specific heat * ΔT
Data:
mass = 50 g = 0.050 kg
specific heat of iron = 450 J/ kg °C
ΔT = 124°C - 10°C ¿ 114 °C
=> heat = 0.050kg * 450 J / kg°C * 114°C ≈ 2.6 J
2. If a refrigerator is a heat pump that follows the first law of
thermodynamics, how much heat was removed from food inside of the
refrigerator if it released 492J of energy to the room? Joules
The firs law of thermodynamics is conservation of energy => energy removed from inside of the refrigerator = energy released to the room
=> Answer = 492 J
3. How much heat is needed to raise the temperature of 45g of water by 63oC? Joules
Formula: heat = mass * specific heat * ΔT
specific heat of water = 4186 J / Kg °C
heat = 0.045 kg * 4186 J/kg °C * 63°C = 11,867.31 J
</span>
Answer:
It would be the second distribution in the fist picture, and the first distribution in the second picture
Step-by-step explanation:
The median is the middle number of a set of numbers, for example, the median in 3, 5, 9, 10, 11, 15, 20 would be 10, since it is the middle number. For the two distributions, that is the best measure of center
