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Sonja [21]
3 years ago
7

A sporting goods store is having a large sale event. baseball bats are marked down by 42%, and hockey sticks are marked down by

29%. if baseball bats cost $21.46 after the markdown and hockey sticks cost $39.05 after the markdown, which item’s price was reduced by more, and by how many more dollars was it reduced? round all dollar values to the nearest cent.
a. hockey sticks had their prices reduced by $2.31 more than baseball bats.
b. hockey sticks had their prices reduced by $0.41 more than baseball bats.
c. baseball bats had their prices reduced by $4.22 more than hockey sticks.
d. baseball bats had their prices reduced by $0.59 more than hockey sticks.
Business
2 answers:
MissTica3 years ago
5 0
B is the correct answer
SVEN [57.7K]3 years ago
5 0

Answer:

Option b.

Explanation:

Let x be the initial cost of baseball bats.

Baseball bats are marked down by 42%, and baseball bats cost $21.46 after the markdown.

x-\frac{42}{100}x=21.46

x-0.42x=21.46

0.58x=21.46

x=\frac{21.46}{0.58}

x=37

The initial cost of baseball bats is $37.

\frac{42}{100}(37)=15.54

The price of baseball bats reduces by $15.54.

Let y be the initial cost of hockey sticks.

Hockey sticks are marked down by 29% and hockey sticks cost $39.05 after the markdown.

x-\frac{29}{100}x=39.05

0.71x=39.05

x=\frac{39.05}{0.71}

x=55

The initial cost of Hockey sticks is $55.

\frac{29}{100}(55)=15.95

The price of baseball bats reduces by $15.95.

Since 15.95 > 15.54 and 15.95 - 15.54=0.41, it means hockey sticks had their prices reduced by $0.41 more than baseball bats.

Therefore, the correct option is b.

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Two gamblers bet $1 each on the successive tosses of acoin. Each has a bank of $6. What is the probability that:a They break eve
strojnjashka [21]

Answer:

Part a: The probability of breaking even in 6 tosses is 0.3125.

Part b: The probability that one payer wins all the money after the 10th toss is 0.0264.

Explanation:

Part a

P(success)=1/2=0.5

P(Failure)=1/2=0.5

Now for the break-even at the sixth toss

P(Break Even)=P(3 success out of 6)

P(3 success out of 6)

=^6C_3/(2^6)\\=5/16\\=0.3125

So the probability of breaking even in 6 tosses is 0.3125.

Part b:

So the probability that one of the player wins all the money after the 10th toss is given as the tenth toss is given as a win so

Wins in 9 tosses is given as 9!/7!=72

The probability that the other person wins

Wins in 8 out of 10 tosses is given as 10!/8!(10-8)!=10!/8!2!=45

So the probability of all the money is won by one of the gambler after the 10th toss is given as

P=number of wins in 9 tosses-Number of wins in 10 tosses/total number of tosses

P=(72-45)/2^16

P=0.0264

So the probability that one payer wins all the money after the 10th toss is 0.0264.

8 0
3 years ago
When labor unions successfully bargain for wage rates that are _____ the equilibrium wage rate, they may cause _____. higher tha
Delicious77 [7]

Answer:

When labor unions successfully bargain for wage rates that are HIGHER THAN the equilibrium wage rate, they may cause AN INCREASE IN STRUCTURAL UNEMPLOYMENT.

Explanation:

When a labor union bargains for wages that are above equilibrium rate, this will produce the same effect as a price floor. The supply of labor will increase, while the demand for labor will decrease. This deadweight loss generated by high wages will result in an excess supply that will eventually lead to higher structural unemployment.

3 0
2 years ago
Item 1Item 1 Thomas invests $109 in an account that pays 6 percent simple interest. How much money will Thomas have at the end o
olga nikolaevna [1]

Answer:

Total amount at the end of 4 years = $135.16

Explanation:

A simple interest account pays interest on only the sum deposited at an annual rate for a specified period of time without compounding or adding the interest earned in a particular period in the calculation of interest earning for the next period. Thus, if 1000 is invested and interest s earned at 10% then the interest earned will remain constant for every period the money is still deposited in the account.

The formula to calculate interest under simple interest method is,

Interest = Principal * Annual Rate * Time in years

Total Interest earned = 109 * 6% * 4

Total interest earned = 26.16

Total amount at the end of 4 years = Principal + Interest

Total amount at the end of 4 years = 109 + 26.16

Total amount at the end of 4 years = $135.16

5 0
3 years ago
According to the producer price index database maintained by the Bureau of Labor Statistics, the average cost of computer equipm
Alika [10]

Answer:

A.

2015 37.7

2016 12.9

B. Yes

Explanation:

Computation of the times interest earned ratios for 2016 and 2015

First step is to find the EBIT

EBIT: 2016 $ 2015 $

Gross profit 44,500 58,400

Less Selling, General and Administrative expenses (36,900) (38,800)

EBIT 7,600 19,600

Second step is to compute the times interest earned ratios for 2016 and 2015 using this formula

Time interest earned = EBIT / Interest expense

Let plug in the formula

Time interest earned 2016 2015

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÷Interest expense $590 $520

=Time interest earned 12.9 37.7

Therefore the Time interest earned will be :

2015 37.7

2016 12.9

2. Yes Computer Tycoon generate sufficient net income in both 2015 and 2016 before taxes and interest in order to cover the cost of debt financing.

8 0
3 years ago
JCPenney Company is expected to pay a dividend in year 1 of $1.65, a dividend in year 2 of $1.97, and a dividend in year 3 of $2
arlik [135]

Answer:

c = $71.80.

Explanation:

So, from the question above, it is given that the dividend in the first year = $1.65, the dividend in the second year = $2.54, the dividend for the third year  grows at the rate of 8% and the appropriate required return for the stock = 11%.

The first thing to do here is to determine the terminal value. The terminal value can be calculated as below as;

Terminal value = [ 2.54 × ( 1 + 8/100) ÷ (11/100 - 8/100) ]  = 91.44

The value of the stock today can be calculate as be as:

The value of the stock today = 1.65 / (1 + 11/100 )¹ + 1.97 /  (1 + 11/100)² + 2.54 / (1 + 11/100)³ + 91.44 /  (1 + 11%)³ = $71.80.

Therefore,  stock should be worth $71.80 today.

7 0
3 years ago
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