Answer:
The value of Mary's investment after two years = £12362.7
Step-by-step explanation:
P = Principal / initial amount
R = rate of interest per cent per year
T = number of years
A = final amount at the end of T years
Then:
A = P*(1 + R/100)^2
In our example:
P = £12000
R = 1.5 per cent per year
T = 2 years
Thus:
A = 12000*(1 + 1.5/100)^2
= 12000*(1 + 0.015)^2
= 12000*(1.015)^2
= 12000*(1.030225)
= 12362.7
Value of investment after two years = £12362.7
-11, -6, -7 and -6.1 are the answers
The inequality is r lesser than or equal to -6
Answer: average speed of the train = 4,483.0 km/h
Step-by-step explanation:
Speed = Distance / Time
Distance = 66 km
Time = 15.47 cancelling 15, we have 60 sec added to 47 sec
<u> - 14.54</u>
= 14. 107 60 + 47
<u> - 14. 54</u>
<u> 53secs</u>
53secs to hours becomes =
60 secs = 1 min
60 min= i hour
therefore 53seconds =53/3600=0.0147222hours
Speed= 66/ 0.0147222= 4,483.025
Rounding to 1 dp becomes= 4,483.0 km/h
Answer:
the answer is 8
Step-by-step explanation:
1/2(8 + 4) = 6
0.5(8 + 4) = 6
(4 + 2) = 6
6 = 6
Answer:
The factors of given expression are 10+10√2 and 10-10√2.
Step-by-step explanation:
We have given a quadratic expression.
s²-20s-100
We have to find factors of given expression.
We use quadratic formula to find factors.
x = (-b±√b²-4ac) / 2a
From given expression, a = 1 , b = -20 and c = -100
Putting values in above formula, we have
x = (-(-20)±√(-20)²-4(1)(-100) ) / 2(1)
x = (20±√400+400 ) / 2
x = (20±√800) / 2
x = (20± √400×2) / 2
x = (20±20√2) / 2
x = 10±10√2
Hence, the factors of given expression are 10+10√2 and 10-10√2.
