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3 years ago

A compact car that costs $6000 new is known to depreciate at the rate of 15% per year.

Mathematics

1 answer:

Strike441 [17]3 years ago

7 0

Step-by-step explanation:

(a) 15% of $ 6000 = 5/100 × 600= &30

value after x years =$ 6000 -$ 30x

(b) value after 6 years = $ 600 - & 180 = $ 5820

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(1 point) 6 cards are drawn at random without replacement from a standard deck. Be accurate to 7 decimal places. a) Find the pro

V125BC [204]

Answer:

a) P=0.0000843

b) P=0.0000454

c) P=0.0066113

Step-by-step explanation:

6 cards are drawn at random without replacement from a standard deck.

a) We calculate the probability that all the cards are hearts.

We calculatethe number of possible combinations:

$C^{52}_6=\frac{52!}{6!(52-6)!}=20358520$

We calculate the number of favorable combinations:

$C_6^{13}=\frac{13!}{6!(13-6)!}=1716$

Therefore, the probability is

$P=\frac{1716}{20358520}\\\\P=0.0000843$

b) We calculate the probability that all the cards are face cards.

We calculatethe number of possible combinations:

$C^{52}_6=\frac{52!}{6!(52-6)!}=20358520$

We calculate the number of favorable combinations:

$C_6^{12}=\frac{12!}{6!(12-6)!}=924$

Therefore, the probability is

$P=\frac{924}{20358520}\\\\P=0.0000454$

c) We calculate the probability that all the cards are even.

We calculatethe number of possible combinations:

$C^{52}_6=\frac{52!}{6!(52-6)!}=20358520$

We calculate the number of favorable combinations:

$C_6^{24}=\frac{24!}{6!(24-6)!}=134596$

Therefore, the probability is

$P=\frac{134596}{20358520}\\\\P=0.0066113$

7 0

3 years ago

Employees at a certain company currently have to pay 3% of their health care costs, while the company pays the rest. Next year,

Kaylis [27]

Answer:

Absolute change = 3%

Relative change = 100%

Step-by-step explanation:

Current percentage = 3%

Upcoming percentage = 6%

Absolute change :

Relative change :

Absolute change = (upcoming percentage - current year percentage)

Absolute change = 6% - 3% = 3%

Relative change :

[(upcoming percentage - current year percentage) / current year percentage] * 100%

[(6% - 3%) / 3%] * 100%

(3% / 3%) * 100%

1 * 100%

= 100%

6 0

2 years ago

If you spend $25 a day ,how long would it take to spend 1000,000

OleMash [197]

$\frac{1,000,000}{25} =40,000$

5 0

3 years ago

Please help me thanks

stich3 [128]

Answer:

5. 26⁰F, rise

6. 0, Added both the numbers instead of subtracting

7. 10⁰C

8. 25⁰F

9. 13⁰F

10. -4

5 0

2 years ago

The likelihood that Sue makes a free throw in basketball is 73%. The likelihood that she makes a 3-point shot is 0.72. Which is

AleksandrR [38]

Answer:

She is more likely to make a free throw in basketball.

Step-by-step explanation:

This is because 73% is equal to .73 and .72 is equal to 72% so thats more common.

5 0

3 years ago