Which statement describes the graph of function g?

Mathematics

1 answer:

marta [7]3 years ago

7 0

Answer:

Step-by-step explanation:

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Write an exponential function in the form y = ab that goes through points (0,4)<br> and (2, 196).

yawa3891 [41]

Answer:

y = 4 $(7)^{x}$

Step-by-step explanation:

The form of the exponential function is y = a $b^{x}$

Use the given points to solve for a and b

Using (0, 4 ), then

4 = a $b^{0}$ ( $b^{0}$ = 1 ), thus a = 4

y = 4 $b^{x}$

Using (2, 196 ), then

196 = 4b² ( divide both sides by 4 )

49 = b² ( take the square root of both sides )

b = $\sqrt{49}$ = 7

y = 4 $(7)^{x}$ ← exponential function

6 0

3 years ago

If the money and interest are left in the bank how much is the total accumulated savings at the end of the second year for a sav

Mekhanik [1.2K]

$\qquad \textit{Compound Interest Earned Amount}\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\qquad 
\begin{cases}
A=\textit{current amount}\\
P=\textit{original amount deposited}\to &\$3,500\\
r=rate\to 8\%\to \frac{8}{100}\to &0.08\\
n=\textit{times it compounds per year}\to &1\\
t=years\to &2
\end{cases}
\\ \quad \\
A=3500\left(1+\frac{0.08}{1}\right)^{1\cdot 2}\implies 3500(1.08^2)$