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vazorg
10 days ago
14

Can square pieces of foam board, each with an area of 169 square inches,be cut and used to construct a cube with a volume of 1,7

28 cubic inches? Explain.

Mathematics
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DOPO
AnnZ [12381]

Response:

$144,843.5

Detailed explanation:

In this scenario, we will utilize the compound interest formula

A= P(1+r)^t

A = final amount

P = initial principal

r = interest rate

t = number of periods

Given parameters

P= $27,000

R= 7.25%= 7.25/100= 0.0725

T= 24

A=27000(1+0.0725)^24

A= 27000(1.0725)^24

A= 27000*5.364

A= $144,843.5

By the end of 24 years, her account balance will reach $144,843.5

5 0
2 months ago
Two ferries travel across a lake 50 miles wide. One ferry goes 5 miles per hour slower than the other. If the slower ferry leave
Svet_ta [12734]

Answer:

Step-by-step explanation:

Let x represent the speed of the first ferry.

Consequently, the second ferry's speed is x-5, as it travels 5 miles per hour slower.

The time taken by the first ferry is calculated as distance divided by speed = \frac{50}{x}

The time taken by the second ferry equals \frac{50}{x-5}.

Since the second ferry departs one hour earlier, the times differ by 1 hour.

\frac{50}{x-5}-\frac{50}{x}=1\\50x-50(x-5)=x(x-5)\\250 = x^2-5x\\x^2-5x-250 =0\\(x-10)(x+5) =0\\x=18.5, -13.5

The speed cannot be negative.

Thus, the speed of the first ferry is determined to be 18.5 mph,

and for the second, slower ferry, it equals 13.5 mph.

5 0
3 months ago
Andre is setting up rectangle tables for a party. He can fit 6 chairs around a single table. Andre lined up 10 tables end to end
Zina [12379]
When there is one table (t=1), you can place 6 chairs (c=6) around it: 2 along the length of each side and 1 at each end.
With t=2, where the tables are positioned end to end (joined at the width), c=10, that means 4 chairs along each side of the joined tables and 1 chair at each end. Each additional table increases the number of chairs by 4, thus we can express this as c=4t+2, with the constant 2 representing the individual chair at each end. If the tables are spread apart, then c=6t.
5 0
2 months ago
Ron randomly pulls a pen out of a box that contains 1 red, 2 black, and 3 blue pens. He does
AnnZ [12381]

Response:

The more trials conducted, the stronger the observed theoretical trend becomes

Stepwise explanation:

Firstly, we need to define the probabilities,

-Theoretical probability quantifies success versus total possible outcomes of an experiment.

-Experimental probability calculates the ratio of the desired outcome relative to the total attempts made in the experiment.

Accordingly, the reasoning that best supports this is that as the experiment is repeated, the experimental probability aligns more closely with the theoretical probability, because repetition increases the likelihood of achieving predicted results.

7 0
2 months ago
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