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Troyanec [42]
3 years ago
10

Jonathan is filling his fish tank with water. The tank is a rectangular prism with a height of 14 inches, width of 12 inches, an

d length of 42 inches. What is the volume of the tank?
Mathematics
1 answer:
dem82 [27]3 years ago
5 0

Answer:

7056m3

Step-by-step explanation:

To find the volume of a rectangle you have to multiply length by the width by the height.

42×12×14=7056m3

m3= metres cubed

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C

Step-by-step explanation:

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2 years ago
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Necesito ayuda por fis​
svet-max [94.6K]

Answer:

pues que es en que necesitas ayuda

Step-by-step explanation:

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3 0
3 years ago
A worker was paid a salary of $10,500 in 1985. Each year, a salary increase of 6% of the previous year's salary was awarded. How
Mazyrski [523]
Note that 6% converted to a decimal number is 6/100=0.06. Also note that 6% of a certain quantity x is 0.06x.

Here is how much the worker earned each year:


In the year 1985 the worker earned <span>$10,500. 

</span>In the year 1986 the worker earned $10,500 + 0.06($10,500). Factorizing $10,500, we can write this sum as:

                                            $10,500(1+0.06).



In the year 1987 the worker earned

$10,500(1+0.06) + 0.06[$10,500(1+0.06)].

Now we can factorize $10,500(1+0.06) and write the earnings as:

$10,500(1+0.06) [1+0.06]=$10,500(1.06)^2.


Similarly we can check that in the year 1987 the worker earned $10,500(1.06)^3, which makes the pattern clear. 


We can count that from the year 1985 to 1987 we had 2+1 salaries, so from 1985 to 2010 there are 2010-1985+1=26 salaries. This means that the total paid salaries are:

10,500+10,500(1.06)^1+10,500(1.06)^2+10,500(1.06)^3...10,500(1.06)^{26}.

Factorizing, we have

=10,500[1+1.06+(1.06)^2+(1.06)^3+...+(1.06)^{26}]=10,500\cdot[1+1.06+(1.06)^2+(1.06)^3+...+(1.06)^{26}]

We recognize the sum as the geometric sum with first term 1 and common ratio 1.06, applying the formula

\sum_{i=1}^{n} a_i= a(\frac{1-r^n}{1-r}) (where a is the first term and r is the common ratio) we have:

\sum_{i=1}^{26} a_i= 1(\frac{1-(1.06)^{26}}{1-1.06})= \frac{1-4.55}{-0.06}= 59.17.



Finally, multiplying 10,500 by 59.17 we have 621.285 ($).


The answer we found is very close to D. The difference can be explained by the accuracy of the values used in calculation, most important, in calculating (1.06)^{26}.


Answer: D



4 0
3 years ago
Pherris is graphing the function f(x) = 2(3)x. He begins with the point (1, 6). Which could be the next point on his graph?
Savatey [412]

Answer: (2, 18)

Step-by-step explanation:

When x=2, f(2)=2(3)^{2}=18.

So, it should pass through (2, 18).

8 0
2 years ago
A car salesman's total earnings, e, is a base salary plus a commission. The salesman has a base salary of $40,000 and receives a
stellarik [79]
E = $40,000 + $200c
e = 40000 + 200c

Hope this helps. - M
6 0
3 years ago
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