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Mamont248 [21]
3 years ago
9

Tyler is building a fish tank in the shape of a sphere that has a diameter of 14 inches. Based on Tyler's research, it is recomm

ended to have no more than 1 goldfish for every 693 cubic inches of water. How many goldfish should Tyler buy for his fish tank?
Mathematics
2 answers:
crimeas [40]3 years ago
6 0

Answer:

Tyler should buy 2 goldfishes for his fish tank

Step-by-step explanation:

I took the test and got it correct.

Charra [1.4K]3 years ago
3 0

Answer:

Tyler should buy 2 goldfishes for his fish tank,

Step-by-step explanation:

First let's find the volume of the sphere, using the following equation:

Volume = (4/3) * \pi * radius^3

The radius is half the diameter, so the radius is 14/2 = 7 inches

Now, finding the volume, we have:

Volume = (4/3) * \pi * 7^3

Volume = 1436.75\ in^3

Now, we know that we need to have 1 goldfish for every 693 in3 of water, so to find the number of goldfishes, we just need to divide the volume of the sphere by 693 (and round down the result if needed):

Number\ of\ goldfishes = 1436.75 / 693 = 2.07 = 2\ goldfishes

Tyler should buy 2 goldfishes for his fish tank,

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Emma invested $41,000 in an account paying an interest rate of 2.6% compounded monthly. Assuming no deposits or withdrawals are
kvasek [131]

Answer: it will take 7 years for the value of the account to reach $49,300

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1 + r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = $41000

A = $49300

r = 2.6% = 2.6/100 = 0.026

n = 12 because it was compounded 12 times in a year.

Therefore,

49300 = 41000(1 + 0.026/12)^12 × t

49300/41000 = (1 + 0.0022)^12t

1.2024 = (1.0022)^12t

Taking log of both sides of the equation, it becomes

Log 1.2024 = 12t × log 1.0022

0.08 = 12 × 0.00095 = 0.0114t

t = 0.08/0.0114

t = 7 years

8 0
3 years ago
Which table represents a linear function that has a slope of 5 and a y-intercept of 20?
erastovalidia [21]

Answer:

The first image.

x |  y

-4 | 0

0 | 20  <--- When x = 0, the y value is the y-intercept.

4 | 40

8 | 60

Step-by-step explanation:

To check the slope, we can use the equation (y₂ - y₁) ÷ (x₂ - x₁) using any two pairs given. For this example, I'll use (-4, 0) and (4, 40).

                                                              x₂  y₂         x₁   y₁

(0 - 40) ÷ (-4 - 4)

(-40) ÷ (-8)

<u>Slope = 5</u>

<u></u>

~Hope this helps!~

8 0
3 years ago
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Cloud [144]
G(x) is f(x) rotated about the x-axis and then compressed vertically by a factor of 4/5.
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3 years ago
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PLEASE HELP ITS DUE AT MIDNIGHT
antiseptic1488 [7]
Answer:
The rest of the question is the attached figure
The percent change =
If (+ve) increase and if (-ve) decrease
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i found this online i hope if helps you

3 0
3 years ago
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A certain recipe requires 415 cups of flour and 237 cups of sugar. a) If 49 of the recipe is to be made, how much sugar is neede
Bas_tet [7]
49*237

11613

That's a lot of sugar, diabetes here we come :)


7 0
3 years ago
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