#1) 9=6 - 3 |4p + 9| now we're going to distribute
9= 6 - 12p - 27
9= 6 - 27 - 12p
9= - 21 - 12p
9 + 21= -12p
30= - 12p Now you are going to divide both side by -12
-12:30 = -12:-12p
-5/2= p final answer
#2) - |1 + 4a| = -13 now you going to change the sign
-1 - 4a = -13
-4a = -13 + 1
-4a = -12 now divide both side by -4
-4a:-4 = -12:-4
a = 3 final answer
Answer:
its d
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Hi there!
We're given the equation y=-75x-50, which represents a submarine DESCENDING towards the ocean floor, where y is the depth in feet, and x is the number of minutes the submarine is descending
Since the submarine is DESCENDING, we can immediately eliminate A and C, which talk about the submarine ASCENDING
That leaves B and D
Looking at the given equation, y=-75x-50, -75 is the slope, or rate of change, and -50 is the y intercept, or the "beginning" (where the equation will "start")
Therefore, the submarine will start at -50 feet, or 50 feet below sea level
As x is the number of minutes the submarine is descending, that means that if the submarine travels 1 minute, it will descend 75 feet (-75*1=-75), at 2 minutes, it'll descend 150 feet (-75*2=-150), and so on
So that means the submarine must be descending at a rate of 75 feet per minute
Therefore D is the correct answer
Hope this helps! Good luck on your assignment :)
Step-by-step explanation:
The Answer for the above question is
The four integers are 1,2,5,10. And Sum of the four integers is 18 .
<u>Method : </u>
Product of four different positive integers is 100 .
<u>First</u> of all lets break the number "100"
⇒ 100 = 50*2
⇒ 100 = 25 * 2 * 2
⇒ 100 = 5 * 5 * 2 * 2
But here we get the same integers 2 and 5 and we want different positive integers . So hereby merge 5 * 2 which is 10.
Let's get to the possible combination -
After merging 5*2 = 10 we get the answer as -
⇒ 100 = 1 * 2 * 5 * 10
Here, we have 1, 2, 5, 10. these are the positive integers whose product gives 100 .
Sum of these products is -
⇒ Sum = 1 + 2 + 5 + 10
⇒ Sum = 18 .
Sum of these four Integers is 18.
Answer:
Step-by-step explanation:
Amount = Rs 8820
Compound Interest = Rs 820.
Step-by-step explanation:
We have to find the amount and the compound interest on Rs. 8000 at 5% per annum for 2 years compounded annually.
Let the Principal sum of money = P
Rate of Interest = R
Time Period = T
Amount of money = A
As we know that Amount formula for compounded annually is given by;
Amount =
Or
Now, we are given with P = Rs 8000 , R = 5% p.a. and T = 2 years; we have to find the amount,i.e;
A =
A =
A = Rs 8820
That means Amount = Rs 8820
Also, Compound Interest formula is given by;
Amount = Principal + Compound Interest
Compound Interest = Amount - Principal
= Rs (8820 - 8000)
= Rs 820
Therefore, amount and the compound interest on Rs 8000 at 5% per annum for 2 years compounded annually are Rs 8820 and Rs 820 respectively.
