Answer:
Step-by-step explanation:
Apply natural log property
ln mn=ln m + ln(n), ln(m/n)=ln(m)-ln(n)
All natural log has base 'e'
cross multiply
add 6e^3 on both sides and -x on both sides
Divide e^3-1 on both sides
Answer:
Turn-0.9166666666666666
Degree-330.00000000081860208
Answer:
$10,667.66
Step-by-step explanation:
The formula for calculating the compound interest is expressed as:
A = P(1+r/n)^nt
P is the principal = $9000
r is the rate = 3%
time t = 6years
n = 1/4
Substitute
A = 9000(1+0.03/(1/4))^6/4
A = 9000(1+0.03(4))^1.5
A = 9000(1+0.12)^1.5
A = 9000(1.12)^1.5
A = 9000(1.1853)
A = 10,667.67
Hence the amount after 6 years is $10,667.66
I think the correct answer would be the first option. To prove that ACD ≅ BDC by virtue of the SSS or side-side-side postulate, it should be that the answer is related with the sides of the trapezoid and the best option would be that the <span> legs are congruent.</span>
Given:
x = beginning number of newspapers
24 = sold in the morning
(x - 24) * 2/7 = sold in the afternoon
x * 1/2 = remaining newspapers
5/7 of the remaining newspaper is equal to 1/2 of the original number.
(x - 24) * 5/7 = 1/2 * x
5x/7 - 120/7 = x/2
5x/7 * 2/2 - 120/7 * 2/2 = x/2 * 7/7
10x/14 - 240/14 = 7x/14
10x/14 - 7x/14 = 240/14
3x/14 = 240/14
14 * 3x/14 = 14 * 240/14
3x = 240
x = 240/3
x = 80
80 - 24 = 56 remaining newspaper in the morning
56 * 2/7 = 16 sold in the afternoon
80 - 24 - 16 = 80/2
40 = 40 remaining newspaper for the day.
