Answer:
y = 1000 x .30 (+ 1000)
Step-by-step explanation:
since it grows by 30%, you multiply .30 (the decimal version of 30%) and 1000 (your initial amount) to find how much it grows. Then you add $1000 at the very end, because that is how much you started with.
The required equation is b = 1000 × 0.7^t where b is the amount after 't' years.
"It is statement which consists of equal symbol between two mathematical expressions."
"It is the ratio that can be expressed as a fraction of 100. "
"f(t) = a(1 + r)^t, where 'a' is the initial value, r is the growth rate and t is time period
For given example,
"A" invest $1000 in a friend's new business.
Value of the investment growing at a rate of 30%
30 percent = 30/100
= 0.3
So, the growth rate (r) = 0.3
a = 1000 dollars
Using the formula of exponential growth the amount in business after 't' years would be,
b = 1000 (1 - 0.3)^t
b = 1000 × 0.7^t
Therefore, the required equation is b = 1000 × 0.7^t
Learn more about exponential growth here:
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