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3 years ago

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Need help with this please it's on exponential functions

1 answer:

icang [17]3 years ago

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Please elaborate on your question so I can help you..

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Líst the key features of the quadratic function graphed.

Oksi-84 [34.3K]

I think The answer is C

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3 years ago

What is the gcf of 92 and 100

Elena-2011 [213]

$92= \textcircled{2} \times \textcircled{2} \times 23 \\
100=\textcircled{2} \times \textcircled{2} \times 5 \times 5 \\ \\
GCF(92,100)=\textcircled{2} \times \textcircled{2} =4$

The GCF of 92 and 100 is 4.

5 0

3 years ago

Find the solution of the initial value problem<br><br> dy/dx=(-2x+y)^2-7 ,y(0)=0

Leokris [45]

Substitute $v(x)=-2x+y(x)$ , so that $\dfrac{\mathrm dv}{\mathrm dx}=-2+\dfrac{\mathrm dy}{\mathrm dx}$ . Then the ODE is equivalent to

$\dfrac{\mathrm dv}{\mathrm dx}+2=v^2-7$

which is separable as

$\dfrac{\mathrm dv}{v^2-9}=\mathrm dx$

Split the left side into partial fractions,

$\dfrac1{v^2-9}=\dfrac16\left(\dfrac1{v-3}-\dfrac1{v+3}\right)$

so that integrating both sides is trivial and we get

$\dfrac{\ln|v-3|-\ln|v+3|}6=x+C$

$\ln\left|\dfrac{v-3}{v+3}\right|=6x+C$

$\dfrac{v-3}{v+3}=Ce^{6x}$

$\dfrac{v+3-6}{v+3}=1-\dfrac6{v+3}=Ce^{6x}$

$\dfrac6{v+3}=1-Ce^{6x}$

$v=\dfrac6{1-Ce^{6x}}-3$

$-2x+y=\dfrac6{1-Ce^{6x}}-3$

$y=2x+\dfrac6{1-Ce^{6x}}-3$

Given the initial condition $y(0)=0$ , we find

$0=\dfrac6{1-C}-3\implies C=-1$

so that the ODE has the particular solution,

$\boxed{y=2x+\dfrac6{1+e^{6x}}-3}$

5 0

3 years ago

Mark takes a bank loan of $3,600 to start up a business at an annual interest rate of 8%. How much will he have to repay in 16 m

Dimas [21]

Answer:

A. $3,984

Step-by-step explanation:

The amount of interest is computed from ...

I = Prt

For the given values, the interest is ...

I = $3600×0.08×(16/12) = $384

Then the total amount that needs to be repaid is ...

Principal + Interest = $3600 +384 = $3,984

_____

The time period is 16 months, so is 16/12 years.

The time periods of the interest rate and "t" in the formula must match. If the interest rate is an annual rate, then "t" is in years. If the interest rate is a monthly rate, then "t" is the number of months.

8 0

2 years ago

The diameter of a round coin is 27.9 millimeters. What is the approximate area of one face of the coin?

Paladinen [302]

Answers is C

Step by step solution is attached

7 0

3 years ago