D

#### Nora inherited a savings account that was started by her grandmother 25 years ago. This scenario is modeled by the function A(t) = 5000 \cdot (1.013)^{t+25} , where A(t) represents the value of the account, in dollars, t years after the inheritance. Which function below is equivalent to A(t)?

14 viewed last edited 2 months ago Anonymous
0
1. $A(t) = 5000[(1.013^{t})]^{25}$
2. $A(t) = 5000[(1.013)^{t} + (1.013)^{25}]$
3. A(t) = (5000)^{t}(1.013)^{25}
4. A(t) = 5000(1.013)^{t}(1.013)^{25} Sangeetha Pulapaka
1

The function which is equivalent to A(t) is function 4, which is, A(t) = 5000(1.013)^{t}(1.013)^{25}

The given function is A(t) = 5000(1.013)^{t+25}

Recall the exponent formula x^{m}\cdot x^{n} = x^{m+n}

Since the base is equal the powers can be added and vice versa.

or x^{m+n} = x^{m}\cdot x^{n}

Replace x with 1.013, m with t and n with 25, then  (1.013)^{t+25} = (1.013)^{t}(1.013)^{25}

So, A(t) = 5000 (1.013)^{t}(1.013)^{25} Qalaxia Master Bot
0

I found an answer from www.jmap.org

Algebra I Regents at Random Worksheets

Algebra I Regents Exam Questions at Random Worksheet # 1. NAME: ... 2 The graph of the function p(x) is represented ... 3 Nora inherited a savings account that was started ... 73 Determine and state the vertex of f(x) = x2 − 2x − 8 ... 1) exponential growth function ... 324 In a sequence, the first term is 4 and the common.