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Tpy6a [65]
3 years ago
11

How to make a graph of an exponential function that shows exponential decay and has a y intercept of 2

Mathematics
1 answer:
Sliva [168]3 years ago
6 0

Answer:

f(x)=2e^{-kx}

in a graph the x value at the y intercept is 0

f(x)=Ae^{-kx}  is a typical decay function

if x = 0  thus e^{-kx} = 1

so at 0 the function value would be A

f(x)=2e^{-kx}

Step-by-step explanation:

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. Mrs. Rojas deposited $8000 into an account paying 4% interest annually. After 8 months Mrs. Rojas withdrew the $6000 plus inte
Mashcka [7]

well, keeping in mind that a year has 12 months, that means that 8 months is 8/12 of a year, when Mrs Rojas pull her money out.

~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$6000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years\to \frac{8}{12}\dotfill &\frac{2}{3} \end{cases} \\\\\\ A=6000[1+(0.04)(\frac{2}{3})]\implies A=6000\left( \frac{77}{75} \right)\implies A=6160

well, she put in 6000 bucks, got back 160 extra, that's the interest earned in the 8 months.

what if she had left her money for 1 whole year, then

~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$6000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years\dotfill &1 \end{cases} \\\\\\ A=6000[1+(0.04)(1)]\implies A=6240

so had she left it in for a year, she'd have gotten 6240, namely 240 in interest, well, what fraction of a year's interest was earned? or worded differently, what fraction is 160(8 months) of 240(1 year)?

\cfrac{\stackrel{\textit{for 8 months}}{160}}{\underset{\textit{for 12 months}}{240}}\implies \cfrac{2}{3}

4 0
2 years ago
A single die is rolled. Find the odds in favor of rolling a number greater than 5
NeX [460]

Answer:

A die has 6 numbers.

So 6 numbers them being
1, 2, 3, 4, 5, 6

There’s only one number greater then 5 which is 6.
Since its 6 numbers, a die has a 1/6 chance of getting your desired number.

So it’s a 1/6 chance.

8 0
2 years ago
Number greater than 543,000 but less than 544,ooo
nikdorinn [45]
543,000.1
543,000.2 
any decimal 
4 0
4 years ago
Read 2 more answers
Can someone help me with (d)
zysi [14]

Answer:

1

Step-by-step explanation:

1 to the power of anything is still one

1 * 1 * 1 * 1 = 1

8 0
3 years ago
How do you solve for y in the equation: <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7By%7D%20%3Dy-6" id="TexFormula1" title
kozerog [31]

No it isn't.

Explanation:

x/y * y = (y-6) * y

x = y^2 - 6y

A function gives just one y for every x

In this case there will always be 2 y's for every x

Example:

y can be

y = 6

or

y =−6

(0,-6) & (0,6)

5 0
3 years ago
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