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Mathematics 20 Online
princeevee:

boop

ThisGirlPretty:

Do you have a math question? :P

princeevee:

Given: f(x)=4⋅2xf(x)=4⋅2x and g(x)=2x+6 What is the solution to the equation f(x)=g(x) ? Note: Use the graphing method to solve.

ThisGirlPretty:

@Vocaloid Yep, don't know this x/x

Vocaloid:

you just have to graph both equations and find the intersection

Vocaloid:

assuming that x is an exponent it should be this http://www.wolframalpha.com/input/?i=4*2%5Ex+%3D+2x+%2B+6

princeevee:

it is. and its D

Vocaloid:

what's the answer choice say for D? you didn't provide the choices ^^'

princeevee:

1 attachment
princeevee:

oh, sorry, it was something like (1,8)

Vocaloid:

an = -2 * 3^(n-1) when n = 1 (aka the first term) an = -2, making a1 = -2 the 3 part of the an implies that each term is multiplied by 3 to get the next term making the rule an = 3*a(n-1) (answer B)

princeevee:

Alicia buys a new car for $20,000. The value of the car decreases by 15% each year. In about how many years will the value of the car be $10,440?

Vocaloid:

the general equation for this is value = initial amount(1-rate of decrease as a decimal)^number of years plug in the values from the problem into the equation and then solve for # of years

princeevee:

C?

Vocaloid:

what does the answer choice C say

princeevee:

6

Vocaloid:

taking our equation from before we have: value = initial amount(1-rate of decrease as a decimal)^number of years 10440 = 20000(1-0.15)^x solve for x (you can use a calculator for this) wolframalpha.com

princeevee:

i now got D

Vocaloid:

what does D say

princeevee:

7

Vocaloid:

plug this into a calculator 10440 = 20000(1-0.15)^x and find the value of x

princeevee:

4?

princeevee:

i did that and got 4

Vocaloid:

good.

Vocaloid:

so 4 is the answer

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