Let h represent the number of hours Liam must ride to beat his record.
distance-ridden + distance-to-ride ≥ record-distance
distance-ridden + (speed × time-to-ride) ≥ record-distance
4 +7h ≥ 32 . . . . . . . . an inequality representing the distance Liam wants
7h ≥ 28 . . . . . . . . . . subtract 4
h ≥ 4 . . . . . . . . . . . . . divide by 7
He must ride for more than 4 hours.
Answer:
(1)
compound amount = 802.5 $
invest earned = 52.5 $
Step-by-step explanation:
total amount = 10000 $
let amount x invested in ventures A and remaining (1000-x) on ventures B
now,
6x/100 +23/400(1000-x ) = 588.75
{24x+23(1000-x)}/400 =588.75
x=235500-230000
x=5500
Amount invested on A = 5500$
Amount invested on B = 4500$
(2)
principle=750$
time= 1 year
effective invest rate = 7%
a) compound amount = p(1+(r/w)^t
=750{1+(7/100)}^1
=802.5$
b) invest earned = 802.5-700 = 52.5$
Answer:
m = 3
Step-by-step explanation:
-3m - 6 = 6 - 7m
-3m + 7m = 6 + 6
4m = 12
m = 12/4
m = 3
The answer would be 1342.
