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3 years ago

Which exponential function goes through the points (1,8) and (4,64)?

1 answer:

4 0

Plug in (4,64) into each answer choice.

A) 4(2)^x
64 =4(2)^4
64 = 4(16)
64 = 64

Answer choice A is correct.

B) f(x) = 2(4)^x
64 = 2(4)^4
64 = 2(256)
64 ≠ 512

Answer choice B is incorrect.

C) f(x) = 4(2)^{-x}
64 = 4(2)^{-4}
64 = 4(-0.0625)
64 ≠ 0.25

Answer choice C is incorrect.

D) f(x) = 2(4)^{-x}
64 = 2(4)^{-4}
64 = 2(0.00390625)
64 ≠ 0.0078125

Answer choice D is incorrect.

Your answer is B<span>) f(x)=2(4)^x</span>

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6n - 3 > - 18 ( no lines)

fgiga [73]

I hope this helps you

6n>-18+3

6n>-15

n>-2,5

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3 years ago

34. The amount of money in an account with continuously compounded interest is given by the formula 1

kirill115 [55]

Answer:

Step-by-step explanation:

I have no idea what formula that is you're using but the one I teach in both algebra 2 and in precalculus for continuous compounding is

$A(t)=Pe^{rt}$

where A(t) is the amount after the compounding, P is the initial investment, ee is Euler's number, r is the interest rate in decimal form, and t is the time in years. If our money doubles, we just have to come up with a number which will be P and then double it to get A(t). It doesn't matter what number we pick to double, the answer will come out the same regardless. I started with 2 and then doubled it to 4 and filled in the rest of the info given with time as my unknown:

$4=2e^{(.062)(t)}$

Begin by dividing both sides by 2 to get

$2=e^{.062t}$

The only way we can get that t out of its current position is to take the natural log of both sides. Natural logs have a base of e, so

$ln_e(e)=1$ This is because they are inverses of one another. Taking the natural log of both sides:

$ln2=.062t$ Now divide by .062 to get

t = 11.2 years

4 0

3 years ago

What is 960 divided by 8 long divison

Llana [10]

It is 120 because first 8 goes into 96 which is 12. just add the 0 since u cant do anything else and it’s 120.

5 0

3 years ago

Read 2 more answers

How do you solve the inequality 6y+3> -18x

Alex17521 [72]

$6y + 3 \ \textgreater \ - 18 x$

Subtract 3 from both sides:

$6 y + 3 - 3 \ \textgreater \ - 18 x - 3$

$6y \ \textgreater \ - 18 x - 3$

Dividade both sides by 6 :

$\frac{6y}{6} \ \textgreater \ \frac{-18x-3}{6}$

$y \ \textgreater \ \frac{-18x-3}{6}$

hope this helps!

6 0

3 years ago

Item 20 A rectangular school banner has a length of 54 inches and a width of 36 inches. A sign is made that is similar to the sc

siniylev [52]

Answer:

The ratio of the area of the school banner to the area of the sign is <u>1944 cubic inches : 192.61 cubic inches.</u>

Step-by-step explanation:

Given:

A rectangular school banner has a length of 54 inches and a width of 36 inches. A sign is made that is similar to the school banner and has a length of 17 inches.

Now, to find the ratio of the area of the school banner to the area of the sign.

Dimensions of school banner :

Length = 54 inches.

Width = 36 inches.

Dimension of school sign:

Length = 17 inches.

So, to we find the width of sign by using cross multiplication method:

Let the width be $x.$