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Troyanec [42]
3 years ago
12

43 Points

Mathematics
2 answers:
Anarel [89]3 years ago
8 0

Answer:

I and III only

Step-by-step explanation:

I and II only is correct. Exponential decay functions have the form f(x) = abx + c. Function I is already in this form, and function II can be rewritten by changing

1

2

to 2-1, and then getting 2-x.

MrRa [10]3 years ago
4 0

f(x)=b(a)^x\\\\exponential\ decay\ for\ b>0\ and\ a\in(0,\ 1)\ or\ for\ b1.\\\\I.\ f(x)=3\cdot5^{-x}=3\cdot\left(\dfrac{1}{5}\right)^x\to b=3>0\ and\ a=\dfrac{1}{5}\in(0,\ 1)\ \ \boxed{!}\\\\II.\ f(x)=\left(\dfrac{1}{2}\right)^x\to b=1>0\ and\ a=\dfrac{1}{2}\in(0,\ 1)\ \ \boxed{!}\\\\III.\ f(x)=-7e^x+8\to b1\ \ \boxed{!}\\\\Answer:\ C)\ I,\ II\ and\ III.

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Read 2 more answers
Tim and Caitlin are preparing to get married. Caitlin has a car payment of $300 per month, which is 10% of her monthly income. A
Misha Larkins [42]

Answer:

A. $2,000

Step-by-step explanation:

Let x represent Caitlin's monthly income and y represent Tim's monthly income.

We have been given that Caitlin has a car payment of $300 per month, which is 10% of her monthly income.

We can represent this information in an equation as:

\frac{10}{100}x=300

0.10x=300

x=\frac{300}{0.10}

x=3000

Therefore, Caitlin's monthly income would be $3000.

We are also told that after Caitlin is married to Tim, her car payment will only be 6% of their combined monthly income.

This means that 6% of x plus y is equal to 300.

\frac{6}{100}(x+y)=300

0.06(3000+y)=300

180+0.06y=300

180-180+0.06y=300-180

0.06y=120

y=\frac{120}{0.06}

y=2000

Therefore, Tim's monthly income is $2,000 and option A is the correct choice.

5 0
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7/4 ÷2/4<br> Me ajudem por favor
Anettt [7]

Answer:

3 1/2

Step-by-step explanation:

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