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Mathematics 19 Online
OpenStudy (anonymous):

Greg buys a home for $328,500. His home is predicted to increase in value 4% each year. What is the predicted value of his home in 30 years? (Points : 3) $994,878 $1,003,716 $1,065,456 $1,158,324

OpenStudy (mrnood):

increasing by 4% means its value is multiplied by 1.04 do that 30 times or preferably use the power 30

OpenStudy (anonymous):

ok i did that and got 31.2

OpenStudy (mrnood):

no it's not times 30 - it's 'to the power 30

OpenStudy (mrnood):

1.04x1.04x1.04x1.04.......30 times = 1.04^30

OpenStudy (anonymous):

ok i got 24201.4323555

OpenStudy (anonymous):

@MrNood is that it

OpenStudy (mrnood):

no initial value = $328,500 after 1 year = $328,500 * 1.04 after 2 years = $328,500 *1.04*1.04 then you need to do that 30 times (= multiply by 1.04^30)

OpenStudy (anonymous):

im sooo confused

OpenStudy (mrnood):

each year its value increases so each year you multiply its value by 1.04 if oyu do that 30 times it is 1.04*1.04*1.04...... is the same as 1.04^30 can oyu work out 1.04^30 on your calculator?

OpenStudy (anonymous):

yeah so i just do 328500 * 1.04 but do it 30 times

OpenStudy (anonymous):

i got C

OpenStudy (mrnood):

well you could do thiat - but surely the subject you are studying is 'powers' like squared, cubed etc. there is a better way than doing it 30 times 1.04 * 1.04 *1.04.... 30 times is the same as\[1.04^{30}\] there is a way of calculating that directly on your calculator

OpenStudy (anonymous):

ik i did it to the power okay i have another question like this one but the numbers are different its 15% so do i do the same thing

OpenStudy (mrnood):

Rising by 15% is the same as multiplying by 1.15 do that for the number of years...

OpenStudy (anonymous):

okay thanks

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