Answer:
Step-by-step explanation:
![6k^3+10k^2-56k\\2k(3k^2+5k-28)\\=2k[3k^2+12k-7k-28]\\=2k[3k(k+4)-7(k+4)]\\=2k(k+4)(3k-7)](https://tex.z-dn.net/?f=6k%5E3%2B10k%5E2-56k%5C%5C2k%283k%5E2%2B5k-28%29%5C%5C%3D2k%5B3k%5E2%2B12k-7k-28%5D%5C%5C%3D2k%5B3k%28k%2B4%29-7%28k%2B4%29%5D%5C%5C%3D2k%28k%2B4%29%283k-7%29)
common factor is 3k-7
1/3(x)=22-x
x/3=22-x
(x/3=22-x)3
3x=66-3x
6x=66
x=11
Answer:
9 feet
Step-by-step explanation:
3X3=9 feet therefore 3 yards is equal to 9 feet
Answer:
Using the formula:

where
A is the total amount
P is the principal
I is the Simple Interest
As per the statement:
Principal(P) = 5300 rupees.
rate of interest(r) = 6.5% = 0.065
Total amount(A) = 6678 rupees.
Then using above formula we have;

Subtract 5300 both sides we get;

or

We have to find the time period.
Using formula of Simple interest:

where r is the rate of interest (in decimal)
here, r = 6.5% = 0.065
Substitute the given values top find t:

⇒
Divide both sides by 344.5 we have;

Therefore, the time period t in years is 4 years