Answer:

Step-by-step explanation:
Divide both sides by 5:

Cancel logarithms by taking exp of both sides:

Solve for x subtracting 4 from both sides:

Answer:
the sum invested in Fund b is $6000
Step-by-step explanation:
This question can be easily solved using allegation Method.
Profit on fund A is 6% whereas Profit on fund B is 2%.
Fund A + Fund B= $24000
Overall profit to be gained = 5%
6% 2%
5%
3 : 1
therefore the fund was distributed in the ratio 3:1
⇒4 units= 24000
⇒ 1 unit = $6000
therefore the fund A = 3×6000=$ 18000
and the fund B= 1×6000= $6000
Answer:
1/8.
Step-by-step explanation:
The probability of of a head (and a tail) in one toss of a coin being obtained is 1/2.
Each toss is independent of the others so we multiply the probabilities.
So Prob(Head - tail - head) = 1/2*1/2*1/2 = 1/8.
I am sorry I cannot solve this problem.
However, I have a tip: if you are gonna give
problems as hard as these, you might wanna offer more than just 5 points. Or you can just waste your points and get a zillion non-helpful answers like this one.
Answer:
<h2>b. 40 yd²</h2>
Step-by-step explanation:
We have the square and the right triangle.
The formula of an area of a square:

a - length of side
The formula of an area of a right triangle:

a,b - legs
We have:
SQUARE:
a = 4 yd

RIGHT TRIANGLE:
a = 6 yd, b = 4 yd + 4 yd = 8 yd

The area of the figure:
