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skad [1K]
3 years ago
15

A fish tank has a base area of 45cm2 and is filled with water to a depth of 12cm.If the height of the tank is 25cm, how much wat

er will be needed to fill the tank to the brim?
Mathematics
1 answer:
stepladder [879]3 years ago
6 0

Answer:

Step-by-step explanation:

v = 45 * 12

v = 540cm³

To fill the tank,

v = 45 * 25

v = 1,125cm³

I'm not quite sure what the exact question is so i'll answer both;

1.) The volume of water required to fill the tank from empty = 1,125cm³

2.) The volume of water required to fill the tank from it's current level is

1,125cm³ - 540cm³ = 585cm³

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What interest rate, to the nearest tenth of a percent, that is required for an investment subject to continuous compounding to i
Sunny_sXe [5.5K]

Answer:

It will take an interest rate of 8.1% to get 150% of the initial investment in just 5 years.

Step-by-step explanation:

Use the formula for continuous compounding

X(t) = Pe^{rt}

where r stands for the (annual) interest rate, t for time in years, P for the initial principal (investment) and X is the amount after t years.

(this formula can be beautifully derived from just basic considerations, btw)

We are given t=5, and percent increase on the initial P, so we can solve for r

X(5) = 1.5P=Pe^{r\cdot5}\\1.5=e^{r\cdot5}\\\ln 1.5=\ln e ^{5r}\\\ln 1.5=5r\\r = \frac{\ln 1.5}{5}=0.081\rightarrow 8.1\%

It will take an interest rate of 8.1% to get 150% of the initial investment in just 5 years.

5 0
3 years ago
I have no idea how to solve??
kupik [55]

120 = (1/3)b(8) =

B = 120/ (1/3)8

B = 120/ 2 2/3

B = 45

3 0
3 years ago
2. You plant 48 seeds of a certain flower and 32 of them sprout. Find the
Neko [114]

Answer:

<em>The probability that the next flower seed will sprout is 0.667 or 66.7%</em>

Step-by-step explanation:

<u>Probability</u>

The experimental or empirical probability can be defined as the ratio of the number of times an event occurs to the total number of times the random activity was performed.

It can be calculated as the relative frequency of an event A in a sample space. The question states 32 seeds of a certain flower sprout out of 48 planted seeds. The relative frequency of success is computed as

\displaystyle P(A)=\frac{32}{48}=\frac{2}{3}=0.667

Thus, the probability that the next flower seed will sprout is 0.667 or 66.7%

6 0
3 years ago
Which property was used to simplify the expression?<br><br> (y^5)^2 = y^10
gayaneshka [121]
<span>(y^5)^2 = y^10

This is power of a power property</span>
3 0
3 years ago
Read 2 more answers
Marco would like to hang a banner over his shoe store. He has two ladders and would like to know how high above the ground each
GuDViN [60]
13 divided by 11.3 is 1.150442477876106. So 15 by 1.150442477876106 and you get 13.03846162772485. Just round it to the nearest tenth and you get 13.0.
5 0
3 years ago
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