3,3,2 these are the primes of 18
The cube root of 8 is 2. 2*2*2=8
Answer:
Amount invested at 8% is $9000 and amount invested at 18% is $21000.
Step-by-step explanation:
Let amount invested at 8% be x.
Let amount invested at 18% be y.
We get the 1st equation as:
........(1)
We get the second equation as:
![0.08x+0.18(y)=0.15\times30000](https://tex.z-dn.net/?f=0.08x%2B0.18%28y%29%3D0.15%5Ctimes30000)
=> ![0.08x+0.18y=4500](https://tex.z-dn.net/?f=0.08x%2B0.18y%3D4500)
or getting rid of the decimal by multiplying by 100 on both sides.
........(2)
Multiplying (1) by 8 and subtracting from (2) we get
So, y = 21000
And ![x+21000=30000](https://tex.z-dn.net/?f=x%2B21000%3D30000)
![x = 30000-21000](https://tex.z-dn.net/?f=x%20%3D%2030000-21000)
So, x = 9000
Therefore, amount invested at 8% is $9000 and amount invested at 18% is $21000.
GIVEN: The perimeter of triangle STU is 125.
The segments TW=21 cm
VW=30 cm
VT=24 cm
TO FIND: The length of the segment SU.
SOLUTION:
As corresponding sides must be same. so we have,
![\frac{TV}{TS}=\frac{TW}{TU}\\\\ \frac{24}{TS}=\frac{21}{TU}\\\frac{TU}{TS}=\frac{7}{8}=k(say)\\](https://tex.z-dn.net/?f=%5Cfrac%7BTV%7D%7BTS%7D%3D%5Cfrac%7BTW%7D%7BTU%7D%5C%5C%5C%5C%20%5Cfrac%7B24%7D%7BTS%7D%3D%5Cfrac%7B21%7D%7BTU%7D%5C%5C%5Cfrac%7BTU%7D%7BTS%7D%3D%5Cfrac%7B7%7D%7B8%7D%3Dk%28say%29%5C%5C)
Then, TU=7k and TS=8k
![\frac{TV}{TS}=\frac{VW}{SU}\\\\ \frac{24}{TS}=\frac{30}{SU}\\\frac{24}{8k}=\frac{30}{SU}\\SU=10k](https://tex.z-dn.net/?f=%5Cfrac%7BTV%7D%7BTS%7D%3D%5Cfrac%7BVW%7D%7BSU%7D%5C%5C%5C%5C%20%5Cfrac%7B24%7D%7BTS%7D%3D%5Cfrac%7B30%7D%7BSU%7D%5C%5C%5Cfrac%7B24%7D%7B8k%7D%3D%5Cfrac%7B30%7D%7BSU%7D%5C%5CSU%3D10k)
As the perimeter of triangle STU is 125.
so,
8·k+7·k+10·k=125
⇒25.k=125
⇒k=5
Therefore, SU=10×5=50
IF you are solving for d:
isolate the D, do the opposite of PEMDAS.
-d/6 + 12 = -7
(subtract 12 from both sides)
-d/6 + 12 (-12) = -7 (-12)
-d/6 = -19
(multiply 6 to both sides)
-d/6(6) = -19(6)
-d = -19(6)
-d = -144
-d/-1 = -144/-1
d = 144
hope this helps