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Ainat [17]
3 years ago
5

Gordon has $395 in credit card debt. If Gordon makes no payments, his debt will increase by 2.5% each month. Which function can

be used to find the amount of debt Gordon will have after x months? *
A. f(x) = 395(2.5)ˣ
B. f(x) = 395(1.25)ˣ
C. f(x) = 395(1.025)ˣ
D. f(x) = 395(97.5)ˣ
Mathematics
2 answers:
sesenic [268]3 years ago
4 0

Answer:

C

Step-by-step explanation:

Gnoma [55]3 years ago
3 0
The correct answer is letter C
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Factor completely 5x2 − 40
tangare [24]

Step-by-step explanation:

5x2-40

5(x2-8)

i hope it helps

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A triangle is cut from a<br> rectangle. Find the area<br> of the shaded region.
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The area of rectangle:

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4 0
3 years ago
A model for the population in a small community after t years is given by P(t)=P0e^kt.
LUCKY_DIMON [66]
\bf \textit{Amount of Population Growth}\\\\&#10;A=Ie^{rt}\qquad &#10;\begin{cases}&#10;A=\textit{accumulated amount}\\&#10;I=\textit{initial amount}\\&#10;r=rate\to r\%\to \frac{r}{100}\\&#10;t=\textit{elapsed time}\\&#10;\end{cases}

a)

so, if the population doubled in 5 years, that means t = 5.  So say, if we use an amount for "i" or P in your case, to be 1, then after 5 years it'd be 2, and thus i = 1 and A = 2, let's find "r" or "k" in your equation.

\bf \textit{Amount of Population Growth}\\\\&#10;A=Ie^{rt}\qquad &#10;\begin{cases}&#10;A=\textit{accumulated amount}\to &2\\&#10;I=\textit{initial amount}\to &1\\&#10;r=rate\\&#10;t=\textit{elapsed time}\to &5\\&#10;\end{cases}&#10;\\\\\\&#10;2=1\cdot e^{5r}\implies 2=e^{5r}\implies ln(2)=ln(e^{5r})\implies ln(2)=5r&#10;\\\\\\&#10;\boxed{\cfrac{ln(2)}{5}=r}\qquad therefore\qquad \boxed{A=e^{\frac{ln(2)}{5}\cdot t}} \\\\\\&#10;\textit{how long to tripling?}\quad &#10;\begin{cases}&#10;A=3\\&#10;I=1&#10;\end{cases}\implies 3=1\cdot e^{\frac{ln(2)}{5}\cdot t}

\bf 3=e^{\frac{ln(2)}{5}\cdot t}\implies ln(3)=ln\left( e^{\frac{ln(2)}{5}\cdot t} \right)\implies ln(3)=\cfrac{ln(2)}{5} t&#10;\\\\\\&#10;\cfrac{5ln(3)}{ln(2)}=t\implies 7.9\approx t

b)

A = 10,000, t = 3

\bf \begin{cases}&#10;A=10000\\&#10;t=3&#10;\end{cases}\implies 10000=Ie^{\frac{ln(2)}{5}\cdot 3}\implies \cfrac{10000}{e^{\frac{3ln(2)}{5}}}=I&#10;\\\\\\&#10;6597.53955 \approx I
3 0
3 years ago
Anmelic with Polynomials: Tutorial
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3 0
3 years ago
I need help 20 pts thx look at the image
Ad libitum [116K]

Answer:

Factors are numbers you can multiply to get each number. For example, for 30 you would have factors of 1, 2, 3, 5, 6, 10, 15, and 30.  I got that because 1 x 30 = 30, 2 x 15=30, 3 x 10 = 30, and 5 x 6= 30.  If the factors are just 1 and that number it is prime.  If there are other factors, it is composite.  30 would be composite.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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