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3 years ago

12

The box of cereal shown below has a volume of 297.16 cubic inches. The width is 4.6 inches and the length is 6.8 inches. In inch

es, what is the height of the cereal box?

1 answer:

finlep [7]3 years ago

4 0

Answer:

9.5 inches

Step-by-step explanation:

Volume = length × width × height

297.16 = 4.6 × 6.8 × height

height = 9.5

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There are 20 parrots at the animal sanctuary. Their population is increasing at a rate of 15% per year. There are also 24 snakes

worty [1.4K]

For the answer to the questions above,
A) Parrots are following a Geometric Progression of 15% increase.

20(1.15), 20(1.15)², 20(1.15)³,

Function = 20(1.15)^n Where n is at the end of year, n =1, 2, 3, ..

Snakes are increasing by 4.

28, 32, 36,....

Function = 24 + 4n    n = number of end year, n =1, 2, 3,...

<span>B) After 10 years:   </span>
Parrot = 20(1.15)¹⁰ = 80.91115471

Snakes = 24 + 4(10) = 64

<span>C) After what time they are the same: </span>
We use trial and error:

Test: n 20(1.15^n) (24 + 4n)
      1 23    28
      2 26.45 32
<span>      3 30.41    36   </span>
      4 34.98 40
      5 40.23 44
    6       46.26 48
      7 53.20 52
      8 61.18 56
      9 70.36 60

After year 7, the Parrots increases far more.
<span>At year 7 they are roughly the same.</span>

8 0

4 years ago

Find the y-intercept:<br> 8x-3y=0

Alla [95]

Answer:

Step-by-step explanation:

The y-intercept is the value of y when x=0.

8(0) - 3y = 0

y = 0

y-intercept = 0

3 0

3 years ago

What affect does "h" have on the parent function y = 1/x ?

pochemuha

If h moves the graph left or right, $y= \frac{1}{x+h}$ (moves left)
$y= \frac{1}{x-h}$ (moves right)

If a vertical stretch by a factor of |h|, then $y = \frac{h}{x}$

If h moves the graph up or down, $y= \frac{1}{x} +h$ (moves up)
$y= \frac{1}{x} -h$ (moves down)

$y= \frac{1}{-hx}$ and h = 1

7 0

4 years ago

Find the exact value of sin <img src="https://tex.z-dn.net/?f=%20%20%5Cfrac%7B22%20pi%20%2F3%7D%20%20%20" id="TexFormula1" title

Nady [450]

Since $\dfrac{22\pi}3\equiv\dfrac{4\pi}3\mod2\pi$ , you have

$\sin\dfrac{22\pi}3=\sin\dfrac{4\pi}3=-\dfrac{\sqrt3}2$

6 0

4 years ago

Julie invested 3000 in a simple interest account for 2 years. At the end of the 2 years, she had earned $75 in interest. What wa

Dahasolnce [82]

The simple interest rate was: 1.25%

Step-by-step explanation:

Simple interest is given by:

$A = Prt\\Here\\A => Interest\\P=>Principal\ Amount\\r => Rate\\t => Time\ in\ years$

Given

Principal amount =$3000

Time = t = 2 years

Interest amount = A = $75

putting the values in the formula

$75 = 3000 * r * 2\\75 = 6000r$

Dividing both sides by 6000

$\frac{6000r}{6000} = \frac{75}{6000}\\r = 0.0125\\$

So,

The rate is:

0.0125 * 100 = 1.25%

Hence,

the simple interest rate was: 1.25%

Keywords: Simple interest, percentage

Learn more about interest at:

#LearnwithBrainly

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4 years ago