Answer:
14
Step-by-step explanation:
you have to add 3 to the first of the two numbers. for example 5+3=8 so the answer would be 58, and because you're decreasing each number by 10 you would have to add 1+3=4 so tha answer must be 14.
Answer:
<h3>36 and 12</h3>
Step-by-step explanation:
Let the two positive integers be x and y.
If their product is 432, then
xy = 432 ......... 1
Also if the sum of the first plus three times the second is a minimum, then;
p(x) = x + 3y
From 1;
y = 432/x ..... 3
Substitute 3 into 2;
p(x) = x+3y
p(x)= x + 3(432/x)
p(x) = x + 1296/x
Since the expression is at minimum when dp(x)/dx = 0
dp/dx = 1 + (-1296)/x²
dp/dx = 1 -1296/x²
0 = 1 -1296/x²
0 = (x²-1296)/x²
cross multiply
0 = x²-1296
x² = 1296
x = √1296
x = 36
Since xy = 432
36y = 432
y = 432/36
y = 12
Hence the two positive numbers are 36 and 12
Answer:
Step-by-step explanation:
<u>Use formula for continuous interest:</u>
- A =
, where r- interest rate, t- time in years
<u>If A = 3P, and r = 0.085 then the equation is:</u>


- ln 3 = 0.085t
- 1.099 = 0.085t
- t = 1.099 / 0.085
- t = 12.9 ≈ 13 years
A) Divide and compare in decimal form -
9/25 = 0.36
4/6=2/7 = 1/4 = 0.25
0.6... > 0.25
B) Fraction to decimal conversion:
4/16 = 2/8 = 1/4 = 0.25
Use long decision or a calculator - 1 divided by four
C) Again, 9/25 = nine divided by twenty-five = 0.36
% Science class)
0.36 = 36%
Move decimal place to right twice and place “%” at the end.
The perimeter of a square is the sum of its sides and they
are all equal, so to obtain the length of each of them we divide the perimeter
of the first fence between 4:
P1= 64 feet/4 sides
P1= 16 feet
Then, the length of each side of the second fence will
increase 2 feet at each end, as shown in the figure. We have then that the
perimeter of the second fence is:
P2 = 20 feet x 4 sides
P2 = 80 feet
The sum of the perimeters of both fences is:
PT = P1 + P2
PT = 64 feet + 80 feet
PT = 144 feet
Total cost = 1.17 $ x 144 feet
Total cost = 168.48 $
The total cost of the fences was $ 168.48