we are asked to expand the logarithmic expression log base b square root of 57/74. In this case, the terms can be expressed as log 57/74 over log b. The expanded form is expressed as -0.1134 / log b. This can be also expressed as (log 57 - log 74)/ log b.
1. Decimal .25 percent 25%
Uhh I'm not good with this that's all I know♂️
Let 'x' represent the total distance from point A to point B
During the first hour he gets 0.25 of the way there: 0.25x
During the second hour he covers an additional 0.2 of the distance: 0.2x
During the third hour, he covers 0.3 of the distance: 0.3x
The total distance the biker traveled is:
0.25x + 0.2x + 0.3x = (0.25 + 0.2 + 0.3)x = 0.75x
The biker has: x - 0.75x = (1 - 0.75)x = 0.25x of the total distance left to go.
Answer:
1 member took literature but not mathematics.
Step-by-step explanation:
We can draw a Venn diagram for the given question.
In a fraternity total number of members = 32
Number of members who took mathematics M = 18
Number of members who took both mathematics and literature (M∩L) = 5
And number of members who took neither mathematics nor literature = 8
Therefore, number of members who took literature but not mathematics
= 32 - [(18 + 5) + 8]
= 32 - [23 + 8]
= 32 - 31
= 1
Therefore, 1 member took literature but not mathematics.
Answer:
$2400 in A rated bond and $3000 in B rated bond.
Step-by-step explanation:
We have been given that Maria has recently retired and requested an extra $444.00 per year in income.
We can represent this information in an equation as:

She has $5400 to invest in an A-rated bond that pays 10% per annum or a B-rated bond paying 6% per annum.

From equation (1), we will get:

Substitute this value in equation (2):







Therefore, Maria should invest $2400 in A-rated bond.
Substitute
in equation (1):



Therefore, Maria should invest $3000 in B-rated bond.