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Daniel [21]
3 years ago
9

1 5.4.3 Test (CST): Exponents and Exponential Functions

Mathematics
1 answer:
ZanzabumX [31]3 years ago
5 0

Answer:

f(-4) = ⅑

Step-by-step explanation:

Given

f(x) = 9(3)^x

Required.

Find f(-4)

f(x) = 9(3)^x

Substitute -4 for x

f(-4) = 9(3)^(-4)

Apply laws of indices

f(-4) = 9 * 1/(3⁴)

f(-4) = 9 * (⅓)⁴

f(-4) = 9 * 1/81

f(-4) = 9/81

Simplify

f(-4) = ⅑

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Which savings account will earn you the most money?
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Answer:

One that compound interest daily.

Step-by-step explanation:

The account that compound interest daily earn us more money because the interest calculated in this type of account is on daily basis. so we get more money compare to other accounts.

                              And in this type of account we get interest on the interest amount also on the daily basis. So we get more amount on this type of account other than the other accounts. so these account are the best for interest purposes

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3 years ago
What is the measure of side V’W’?
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an inverted cone has a height of 11 inches and an initial radius of 18 inches. the volume of the inverted cone is decreasing at
joja [24]

Radius of cone is decreasing at the rate of \frac{1623}{110\pi} inches

What is rate of change?

Suppose there is a function and there are two quantities. If one quantity of a function changes, the rate at which other quantity of the function changes is called rate of change of a function.

Here rate of change of radius of cone has been calculated

Radius of cone  = 18 inches

Height of cone = 11 inches

Volume of cone (V) = \frac{1}{3} \pi r^2h

\frac{dV}{dt} = \frac{1}{3} \pi h (2r\frac{dr}{dt})\\-541 = \frac{2}{3} \pi \times 11\times 5\times\frac{dr}{dt}\\\frac{dr}{dt} = -\frac{541 \times 3}{2 \times \pi \times 11 \times 5}\\\frac{dr}{dt} = -\frac{1623}{110  \pi}

Radius of cone is decreasing at the rate of \frac{1623}{110\pi} inches

To learn more about rate of change, refer to the link-

brainly.com/question/24313700

#SPJ4

5 0
2 years ago
What is the sum of 1/8+5/15+3/8​
Ymorist [56]

Answer:

pls give me brainliest

Step-by-step explanation:

0.83333333333

8 0
3 years ago
Read 2 more answers
555 grams of wool were needed to knit a sweater, a hat and a scarf. The hat required 5 times less wool than the sweater and 5 gr
Black_prince [1.1K]

Let x grams used for sweater.

Then since hat required 5 times less wool than sweater

wool used for hat = x/6 (since 5 times less)

Scarf wool=wool for hat - 5

= x/6 -5

Total wool used = wool for sweater + hat + scarf

= x+x/6+x/6-5

Given total wool used = 555 gms.

i.e. x+x/6+x/6-5 = 555

8x/6= 560

x = 560(6/8) = 420

i.e. For sweater = 420 gm of wool

for hat = 70 gm of wool

and for scarf = 65 gm of wool were used.

4 0
3 years ago
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