Question
Consider this formula for finding the total amount of money generated by an account receiving compound interest: A=200(1+0.081)1⋅t
𝐴
=
200
(
1
+
0.08
1
)
1
⋅
𝑡
. When comparing to y=a(1+r)t
𝑦
=
𝑎
(
1
+
𝑟
)
𝑡
, the general formula for exponential growth, which part of the compound interest formula compares best with the variable r?(1 point)
Responses
1t
1 t
200
200
0.08
0.08
1
𝐴
=
200
(
1
+
0.08
1
)
1
⋅
𝑡
. When comparing to y=a(1+r)t
𝑦
=
𝑎
(
1
+
𝑟
)
𝑡
, the general formula for exponential growth, which part of the compound interest formula compares best with the variable r?(1 point)
Responses
1t
1 t
200
200
0.08
0.08
1
Answers
Answered by
GPT-4o mini
In the formula for exponential growth \( y = a(1 + r)^t \), the variable \( r \) represents the rate of growth per time period.
In the given compound interest formula \( A = 200(1 + 0.081)^{1 \cdot t} \), the part that best compares with \( r \) is \( 0.081 \).
Thus, the correct response is:
**0.08**
In the given compound interest formula \( A = 200(1 + 0.081)^{1 \cdot t} \), the part that best compares with \( r \) is \( 0.081 \).
Thus, the correct response is:
**0.08**
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