Homework:1-3 MyAccountingLab Homework: Chapters 1 and 2

In a basketball tournament, team A scored 6 more points than 3 times as many points as team B scored. Team C scored 45 more poin

Sophie [7]

A + B + C = 476
A = 3B + 6
C = B + 45

now its just a matter of subbing..
A + B + C = 476
(3B + 6) + B + (B + 45) = 476...combine like terms
5B + 51 = 476
5B = 476 - 51
5B = 425
B = 425/5
B = 85 <== team B scored 85

A = 3B + 6
A = 3(85) + 6
A = 255 + 6
A = 261 <=== team A scored 261

C = B + 45
C = 85 + 45
C = 130 <=== team C scored 130

6 0

2 years ago

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Santiago hopes to buy a 4 horse trailer for about $12000. Describe all the numbers that when rounded to the nearest hundred are

jok3333 [9.3K]

To round a number to the nearest hundred, we count two places to the left of the decimal point, or from the last digit if the number is a whole number.

If the second digit from the last digit is upto 5, we add 1 to the preceding digit and we complete the last two numbers with zeros.

Therefore, any number from 11,950 to 12,049, will result to 12,000 when rounded to the nearest hundred.

8 0

2 years ago

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14. A $40,000 loan at 4% dated June 10 is due to be paid on October 11. Calculate the amount of interest (assume ordinary intere

Allisa [31]

D) $546.67

Hope this helped!

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2 years ago

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You are researching the penguin population in the Falkland Islands. There are 1000 penguins in the beginning of the first year:

kolbaska11 [484]

Answer:

The formula to determine the population of penguins at the end of the 7th year is:

$P_7=1.3^7\cdot P_0=6.275\cdot 1000=6275$

Step-by-step explanation:

With this information, we know that the initial population at end of year 0 is 1000 penguins.

The first year will born 500 chicks (50% of the population) and also 20% of the total population will die.

We can then model the population for the end of year 1 as:

$P_1=P_0+0.5P_0-0.2P_0=1.3P_0$

As this dynamic will continue with the years, we can generalize as:

$P_2=1.3P_1=1.3\cdot (1.3P_0)=1.3^2P_0\\\\P_n=1.3^nP_0$

Then, the value of the population at the end of the 7th year should be:

$P_7=1.3^7\cdot P_0=6.275\cdot 1000=6275$

8 0

1 year ago

Toby's Tiny Toys have fixed expenses of $53,900 for the production of their tiny toys. Toby's has a variable expense of $12.50 a

ipn [44]

The total cost of the factory will be the sum of its variable costs and it's fixed costs. The factory has fixed costs of $53,900 and variable costs of $12.50 per unit produced. Let $x$ be the number of toy's produced by this Toby's Tiny Toys, then the total variable costs will be $12.50x$ . From this information we can gather that the cost function for this factory is,

$C(x)=53\,900+12.50x.$

On the other hand, if we let $x$ be the number of toys sold, we can gather that at the selling price of 16.50, the revenue function will be ,

$R(x)=16.50x.$

Toby's Tiny Toys will reach their break even point when the total costs are equal to the total revenue. At this break even point ,we have that

$R(x)=C(x)\\\implies 16.50x=12.50x+53\,900\\\implies 16.50x-12.50x=53\,900\\\implies 4x=53\,900\\\implies x=\frac{53\,900}{4} \\\implies x=134\,750.$

The company has to sell 134 750 units to break even.

6 0

2 years ago