Answer:
1) Equal to 17.4
2)Less than 17.4
Step-by-step explanation:
One thing we must always remember that when we have number 0 after the decimal point, it means we do not need to consider that as it will have no effect on product and on the other operations.
So,
1)
17.4 x 1.0 = 17.4 x 1 = 17.4 (Product is equal to 17.4)
2)
Suppose if a number 'A' which is less than 1 is multiplied by any other number 'B', than the multiplication always result in the number less than B.
For example:
1x0.5 = 0.5 which is less than 1
Similarly for
17.4 x 0.98 = Result will be less than 17.4 as the second number is less than 1.
Product is less than 17.4
Log(4k - 5) = log(2k - 1)
log(4k) - log(5) = log(2k) - log(1)
0.6020599913k - 0.6989700043 = 0.3010299957k - 0
0.6020599913k - 0.6989700043 = 0.3010299957k
<u>-0.6020599913k -0.6020599913k</u>
<u>-0.6989700043</u> = <u>-0.3010299957k</u>
-0.3010299957 -0.3010299957
2.321928094 = k
Answer: (B) The price elasticity of demand for good Z = 0.86
Step-by-step explanation:
The formula for determining elasticity of demand by using the midpoint method is
(Q2 - Q1)/[(Q2 + Q1)/2] / (P2 - P1)/[(P2 + P1)/2]
Where
P1 is the initial price of the item.
P2 is the final price of the item.
Q1 is the initial quantity demanded for the item.
Q2 is the final quantity demanded for the item.
From the information given,
P1 = 10
P2 = 15
Q1 = 85
Q2 = 60
The price elasticity of demand for good Z = (60 - 85)/[(60 + 85)/2] / (15 - 10)/[(15 + 10)/2]
= (-25/72.5) / (5/12.5) = -25/72.5 × 12.5/5
= - 312.5/362.5 = - 0.86
The general formula for the lateral surface area of a right prism is
L = ph
where p represents the perimeter of the base and h represents the height of the prism.
In our case, the perimeter is the sum of the bases.
p = 5 + 5.6 + 2.5 = 13.1 cm
now, the height of the prism is 8 cm
then L = 13.1 cm x 8 cm = 104.8cm^2
