Answer;
X = 18: AD = 18
Step-by-step explanation:
Here, we want to find the measure of AD
From the given image;
AB = x + 3
AD = x
AC = 24 + 4 = 28
AE = 24
Substituting these values
we have ;
(x + 3)/x = 28/24
24(x + 3) = 28x
24x + 72 = 28x
28x - 24x = 72
4x = 72
x = 72/4
x =18
Answer:
28.4 mpg
Step-by-step explanation:
Find the unit rate, that is, the number of miles per gallon:
216 miles
----------------- = 28.4 mpg (to the nearest tenth)
7.6 gallons
The population Pa of insect A after t years is given by the equation
Pa = 1.3(1-0.038)^t
while the population Pb of insect B after t years is
Pb = 2.1(1-0.046)^t
We equate the above expressions to find the number of years t it will take the two populations to be equal:
Pa = Pb
1.3(1-0.038)^t = 2.1(1-0.046)^t
1.3(0.962)^t = 2.1(0.954)^t
These are the equations that can be used to determine how long it will be before the populations of the two species are equal.
We can now solve for t:
(0.962)^t / (0.954)^t = 2.1/1.3
(0.962/0.954)^t = 2.1/1.3
After taking the log of both sides of our equation, number of years t is
t = log (2.1/1.3) / log (0.962/0.954)
t = 57 years
Therefore, it will take 57 years for the population of insect A to equal the population of insect B.
First off, "whatever%" of "anything" is just (whatever/100) * anything
part A)
so... firm A got 11,000 invested, turned a profit of 24%, how much is 24% of 11000? well (24/100) * 11000
firm B got 14,000 invested, and returned 15% in profits, how much is 15% of 14000? (15/100) * 14000
part B)
for the amounts above, we get 2640 and 2100 respectively
so, the total profit "amount" is 2640 + 2100 or 4740
the total investement was 11000+14000 = 25000
if 25000 is the 100%, how much is 4740 in percentage?

solve for "x"