Question

The cost of producing transistors decreases by 20% every year. If it currently costs $490 to produce a billion transistors, how much will it cost to produce a billion transistors in 7 years?
If necessary, round your answer to the nearest cent.

Answer 1

so to figure this out, figure out what 20% of 490 is,
\(\color{tomato}{490} \times \color{violet}{0.20} = \color{cyan}{x}\)
then take the answer for x and add it into this equation
\(\color{tomato}{490}-\color{lime}{7}(\color{cyan}{x})=\color{yellow}{c}\)
find c (cost) and that should be your answer.

Answer 2

20% of 490 = 98

Answer 3

correct, now input that in for x

Answer 4

47334?

Answer 5

how did you get that answer?

Answer 6

oh I think I did something wrong. I did 490-7 and then times that by 98

Answer 7

no, you did the math correctly

Answer 8

oh, I see where you got your answer.

Answer 9

would it be correct

Answer 10

oh, we need to do conversions

Answer 11

Wait wait wait, this question would be in the negatives due to the fact that if it decreased 20% out of 490 in 7 years, that would mean the price doesn't exist.

Answer 12

Ok, so i believe your question is incorrect, it should be `increases` not `decreases`, or else it would be negative spending

Answer 13

are you sure?

Answer 14

this is an official website

Answer 15

@snowflake0531

Answer 16

\[480(0.8)^7\]

Answer 17

shoot *490

Answer 18

490 as the principal amount, 0.8 because 1-0.2, adn 7 bc 7 years

Answer 19

= 102.760448

Answer 20

yes so 102.76

Answer 21

can you help with a few more please?

Answer 22

In decrease, just use
principal amount times (1-(decrease rate) to the power of time/year
\[P(1-r)^t\]

Answer 23

can you help with more

Answer 24

sure-, i guess

Answer 25

The half-life of a radioactive kind of nickel is 96 years. How much will be left after 192 years, if you start with 1,040 grams of it?