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3 years ago

A box contains 48 marbles.

Mathematics

1 answer:

pogonyaev3 years ago

3 0

Answer:

Step-by-step explanation:

1/2 of 48 marbles is 24

1/3 of 24 is 8

hope this helps

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Find the accumulated value of an investment of 12,000 at 8 % compounded semiannually for 11 years

AleksAgata [21]

The "compound amount" formula is A = P(1+r/n)^(nt),
where P=original investment, r=interest rate as a decimal fraction; n=number of compounding periods, and t=number of years.

Then A = $12000 * (1+0.08/2)^(2*11)
= $12000(1.04)^(22) = $28,439.03 (answer)

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3 years ago

Determine the direction that is this parabola opens: y=-x^2-2x-5

WITCHER [35]

The squared variable is the "x", meaning is a vertical parabola.

the leading term, namely x², has a coefficient of -1, so is a negative value and thus it opens downwards.

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3 years ago

A business woman uses 1/3 of the floor of an office building. She needs to use 5/8 of the floor to expand her business. How much

Mice21 [21]

They both go into 24ths so 1/3 equals 8/24 and 5/8 equals 15/24 so 15 minus 8 =7 she needs 7 more to expand and she owns 8/15ths of what she needs to expand

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4 years ago

2. The length of a rectangle exceeds its breadth by 5m.If the perimeter of the rectangle is 74m,find the length and breadth of t

AURORKA [14]

Step-by-step explanation:

length = breadth + 5

the perimeter is a rectangle is

2×length + 2×breadth

in our case

2×length + 2×breadth = 74

so, we use the first equation in the second equation :

2×(breadth + 5) + 2×breadth = 74

2× breadth + 10 + 2× breadth = 74

4×breadth = 64

breadth = 16 m

length = breadth + 5 = 16 + 5 = 21 m

7 0

2 years ago

Graph the function y = x3 + 6x2 + 2x – 11. Based on the graph, what is the largest possible x-value if y = 0? Round your answer

xenn [34]

Answer:

The answer to this question corresponds to computing the largest root of our function. Due to the way in which the question is asked, we can have 2 answers based on the root criteria. Please, read on for the explanation.

Step-by-step explanation:

First, to graph the function we can use any graphing tool available, for this case we chose the free online tool called Desmos calculator. Attached is a graph of the function.

Desmos calculator already shows as the position of the 3 roots. Roots are points on a function whose y-component is zero, meaning the points where the function crosses the x axis.

From the graph we can see that these points are $x= -5.211$ , $x= -1.9$ and $x= 1.111$ .

The ambiguity of the answer comes in choosing the root either with the most positive value, or the root with the largest magnitude. From the way in which the question is asked, we could understand both of these cases.

In case the root with most positive value is asked, then the answer is $x= 1.111$ . However, in case the root with largest magnitude is asked, then the answer is $x= -5.211$ .

As a reference, you can have a look at the following links:

https://en.wikipedia.org/wiki/Magnitude_(mathematics)

https://en.wikipedia.org/wiki/Cubic_function

7 0

3 years ago

Read 2 more answers