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SashulF [63]
3 years ago
9

What is the probability that a randomly selected pet is a female puppy?

Mathematics
2 answers:
masha68 [24]3 years ago
6 0

Answer:

2 out of 26% chance

Step-by-step explanation:

or 7.7% chance


Fantom [35]3 years ago
4 0
There are 26 total pets and 2 female puppies. Therefore, the probability of a randomly select pet being a female puppy is 2/26, which can be simplified down to 1/13. The percentage version of 1/13 is 7.7%.

The answer is 7.7%.
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For the following amount at the given interest rate compounded​ continuously, find​ (a) the future value after 9 ​years, (b) the
Stella [2.4K]

Answer:

(a) The future value after 9 ​years is $7142.49.

(b) The effective rate is r_E=4.759 \:{\%}.

(c) The time to reach ​$13,000 is 21.88 years.

Step-by-step explanation:

The definition of Continuous Compounding is

If a deposit of P dollars is invested at a rate of interest r compounded continuously for t years, the compound amount is

A=Pe^{rt}

(a) From the information given

P=4700

r=4.65\%=\frac{4.65}{100} =0.0465

t=9 \:years

Applying the above formula we get that

A=4700e^{0.0465\cdot 9}\\A=7142.49

The future value after 9 ​years is $7142.49.

(b) The effective rate is given by

r_E=e^r-1

Therefore,

r_E=e^{0.0465}-1=0.04759\\r_E=4.759 \:{\%}

(c) To find the time to reach ​$13,000, we must solve the equation

13000=4700e^{0.0465\cdot t}

4700e^{0.0465t}=13000\\\\\frac{4700e^{0.0465t}}{4700}=\frac{13000}{4700}\\\\e^{0.0465t}=\frac{130}{47}\\\\\ln \left(e^{0.0465t}\right)=\ln \left(\frac{130}{47}\right)\\\\0.0465t\ln \left(e\right)=\ln \left(\frac{130}{47}\right)\\\\0.0465t=\ln \left(\frac{130}{47}\right)\\\\t=\frac{\ln \left(\frac{130}{47}\right)}{0.0465}\approx21.88

3 0
3 years ago
1/(x+4)(x-2)(x-5) excluded values
UNO [17]

Answer:

see explanation

Step-by-step explanation:

The excluded values are any values of x that make the function undefined

Given

\frac{1}{(x+4)(x-2)(x-5)}

The denominator of the rational function cannot be zero as this would make it undefined. Equating the denominator to zero and solving gives the values that x cannot be.

(x + 4)(x - 2)(x - 5) = 0

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x - 2 = 0 ⇒ x = 2

x - 5 = 0 ⇒ x = 5

x = - 4, x = 2, x = 5 are the excluded values

4 0
3 years ago
tabitha wants to find the total cost of a new tablet computer that has a origanall cost of $360 from a store having a 20% sales
Eva8 [605]

ANSWER: $432

STEP-BY-STEP EXPLANATION:

The cost of the tablet is $360

Then Tabitha has to pay 20% sales tax.

The tax is the prices times 20%  plus the original price

360 ( 1+ 0.2)

360 (1.2)

=432

8 0
3 years ago
5/7x-4=21<br> solve folve for x
Aleksandr-060686 [28]

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

7*x-4-(21)=0

Solve  :    7x-25 = 0

Add 25 to both sides of the equation :

                     7x = 25

Divide both sides of the equation by 7:

                    x = 25/7 = 3.571

6 0
3 years ago
Read 2 more answers
6k squared -kl 4l squared
OleMash [197]
Square equals > [email protected]
8 0
3 years ago
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