anonymous
  • anonymous
cheyanne plans to put $150 into a savings account. she can place her money into an account represented by f(x)=5x+150, or into another account represented by g(x)=150(1.03)^x. which account has the highest value in 3 years? which account has the highest value in 10 years?
Algebra
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
these are the answer choices: 1. f(x) has the highest value in 3 years; g(x) has the highest value in 10 years 2. g(x) has the highest value in 3 years; f(x) has the highest value in 10 years 3. f(x) has the highest value in 3 years; f(x) has the highest value in 10 years 4.g(x) has the highest value in 3 years; g(x) has the highest value in 10 years
Vocaloid
  • Vocaloid
x is the number of years, right? so first, find f(x) when x = 3 and g(x) when x = 3
anonymous
  • anonymous
Alright I would plug those stuff into calculator

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anonymous
  • anonymous
Set the x to be 3 years and 10 years and see if either of them turns out greater than the other.
anonymous
  • anonymous
yea i got f(x)= 165 g(x)= 3,687
Vocaloid
  • Vocaloid
check g(x) again
Vocaloid
  • Vocaloid
g(x)=150(1.03)^x = 150(1.03)^3 = ?
anonymous
  • anonymous
163?
Vocaloid
  • Vocaloid
right, so which one is higher?
anonymous
  • anonymous
g(x)
anonymous
  • anonymous
For 3 years f(x)=5x+150=165 for the first one g(x)=150(1.03)^3=163.90
Vocaloid
  • Vocaloid
no, please look at f(x) and g(x) again...
anonymous
  • anonymous
So f(x) is greater for the first 3 years am I wrong?
anonymous
  • anonymous
oh sorry f(x)
anonymous
  • anonymous
@Vocaloid
Vocaloid
  • Vocaloid
I was talking to Nicole, sorry for the confusion
Vocaloid
  • Vocaloid
yes, f(x) is greater for 3 years now calculate f(x) and g(x) when x = 10
anonymous
  • anonymous
g(x) is greater
anonymous
  • anonymous
Yeah vocaloid would tell you to do f(x)=5(10)+150=200 g(x)=150(1.03)^10=201.5
anonymous
  • anonymous
because i got 200 for f(x) and 201 for g(x)
anonymous
  • anonymous
Yeah it's so close
Vocaloid
  • Vocaloid
right, so our final answer is...?
anonymous
  • anonymous
a
Vocaloid
  • Vocaloid
yeah, good job ~
anonymous
  • anonymous
thanks
anonymous
  • anonymous
Make sure you give a medal to vocalic
anonymous
  • anonymous
@Vocaloid
anonymous
  • anonymous
do you think you can help me with a couple more questions? @Vocaloid

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