What is the slope of the line shown on the graph?

The price of 9-volt batteries is increasing according to the function below, where t is year after January 1, 1980. During what

ICE Princess25 [194]

We are given with the equation p(t) = 1.1*e^0.047t where p represents the price, t represents the time in years. price varies exponentially with time. If p is 3 dollars in the future, then

3 = 1.1*e^0.047t
ln 2.727272 = 0.047 t
t = 21. 35 years or year 2001.

3 0

3 years ago

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Find the general solution of the differential equation y′=e6x−7x.

andre [41]

Consider this option:
1) dy/dx=e⁶ˣ-7x; => dy=(e⁶ˣ-7x)dx;
2) $y= \int\ {(e^{6x}-7x)} \, dx; \ =\ \textgreater \ \ y= \frac{1}{6}e^{6x}- \frac{7}{2}x^2+C.$

3 0

3 years ago

Kyra is using rectangular tiles of two types for a floor design. A tile of each type is shown below.

egoroff_w [7]

"The two tiles are similar because is 1 : 3 and is also 1 : 3" is the one statement among the following choices given in the question that is correct. The correct option among all the options that are given in the question is the first option or option "A". I hope that this is the answer that has actually come to your desired help.

7 0

4 years ago

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The principal P is borrowed & the loans future value, A, at time is given. Determine the loans simple interest rate, r, to t

trapecia [35]

I don't quite understand the meaning of "A" when it comes to this problem. I'm assuming that "A" is the amount of interest paid within 3 years? But that's how I solved it. Because the equation is (I) over PT=

I = interest paid monthly/annually or whatever the determined number is.

P = principle (the money that was started out)

T = the time of the accruement

R= the interest rate.

That's why I'm assuming that A is going to equal I in this problem.

So it will be

188.80 over (/) 160 x 3= R

We will multiply 160 x 3 = 480

Then, we'll divide 188.80 by 480

188.80 ÷ 480 = 0.393.

We'll multiply that number by 100.

0.393 x 100 = 39.3%.

That's a HUGE interest rate, so that's why I'm not sure if A if the correct answer.

5 0

4 years ago

For each ordered pair (x,y) determine whether it is a solution to the inequality 7x+2y>_26

MA_775_DIABLO [31]

The inequality is given as,

$7x+2y>-26$

Consider that any ordered pair (x,y) is said to be the solution of the inequality if the ordered pair gives a true result when substituted in the inequality.

Consider the ordered pair (4,-9),

$\begin{gathered} 7(4)+2(-9)>-26 \\ 28-18>-26 \\ 10>-26 \end{gathered}$

Clearly, the result is true. So it can be concluded that (4,-9) is a solution of the given inequality.

Therefore, mark YES for the ordered pair (4,-9).

Consider the ordered pair (3,4),

$\begin{gathered} 7(3)+2(4)>-26 \\ 21+8>-26 \\ 29>-26 \end{gathered}$

Clearly, the result is true. So it can be concluded that (3,4) is a solution of the given inequality.

Therefore, mark YES for the ordered pair (3,4).

Consider the ordered pair (-4,0),

$\begin{gathered} 7(-4)+2(0)>-26 \\ -28+0>-26 \\ -28>-26 \end{gathered}$

Clearly, the result is false as -28 is not actually greater than -26.

So it can be concluded that the ordered pair (-4,0) is not a solution of the given inequality.

Therefore, mark NO for the ordered pair (-4,0).

Consider the last ordered pair (-6,8),

$\begin{gathered} 7(-6)+2(8)>-26 \\ -42+16>-26 \\ -26>-26 \end{gathered}$

Note that the numbers on both sides of the inequality are identical. So there should be the symbol of equality, not inequality. So, it can be concluded that this ordered pair (-6,8) is not a solution of the given inequality.

Therefore, mark NO for the ordered pair (-6,8).

4 0

2 years ago