A population of ants is growing at a rate of 8% a year. If there are 160 ants in the initial population, find the number of ants after 6 years

253 ants

Step-by-step explanation:

160 ants to begin with.

8% yearly growth

8% of 160 is 12.8

for year 2, 8% of 172.8 is 13.824

then 8% of 186.624 is  14.92992

year 4: 8% of 201.55392 is 16.1243136

5: 8% of 217.6782336  is 17.4142586

finally, year 6: 8% of 235.092492288 is 18.807399383

so the total ants after 6 years is 253.899891671

but you cant have .8 ant so drop the decimal

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1