The logarithm of a function log a = x is also expressed as 10^x = a. In this case, we are given log (x) = -0.123. Hence the equivalent function is 10^-0.123 = x; x is equal to 0.7536. the answer to this problem is 0.7536.
Articles of clothing that the store received last Thursday is 84
<u>Solution:</u>
Given that
A clothing donation store received numerous articles of clothing on Thursday of last week.
The number of articles of clothing that the store received last Thursday is represented by the following expression:
4 (3x − 1) − 2 (6 + 2x)
Need to calculate articles of clothing that the store received last Thursday when x = 12.5
As on Thursday x = 12.5, need to substitute x = 12.5 in above equation to get number of articles received on Thursday.
On substituting x = 12.5, we get
4 ( (3 x 12.5 ) – 1 ) – 2 ( 6 + ( 2 x 12.5 ) )
=> 4 (37.5 – 1) – 2 (6 + 25)
=> 146 – 62 = 84
On substituting x = 12.5 , we are getting value of expression as 84.
Hence articles of clothing that the store received last Thursday is 84
T=s+14
T+s=82
(s+14)+s=82
2s+14=82
s=34
t+48
Price for every 6 weeks= $ 156
Price for 1 week = 156/6 = $ 26
Assuming there are approximately 52 weeks in a year
Price for lessons per year = 26*52
= $1352
T's going to make a difference whether that 4 percent is compounded more
<span>than once a year. </span>
<span>We'll do the calculation assuming it's compounded only once a year, and if it </span>
<span>turns out to be compounded more often than that, then the calculation will </span>
<span>come out on the low side, and you'll wind up with a little bit more than $3,000. </span>
P<span> times (1.04)</span>3<span> = $3,000 </span>
P<span> = </span>3,000/<span>(1.04)3</span><span> = $2,666.980769 or </span><span>$2,667</span>
