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3 years ago

Darlene is adopting a pet. she can choose from 8 kittens and 6 puppies.How many ways can she choose a pet to adopt

Mathematics

2 answers:

juin [17]3 years ago

7 0

14 cause shes only getting 1 pet and there are 14 animals in total

Mandarinka [93]3 years ago

6 0

Answer: The required number of ways is 14.

Step-by-step explanation: Given that Darlene is adopting a pet and she can choose from 8 kittens and 6 puppies.

We are to find the number of ways in which she can choose a pet to adopt.

We have

the total number of pets that are available to choose from is given by

$n=8+6\\\\\Rightarrow n=14.$

Since Darlene is going to adopt only one pet, so we have

$r=1.$

Therefore, the number of ways in which she can choose a pet to adopt is given by

$^nC_r\\\\=^{14}C_1\\\\\\=\dfrac{14!}{1!(14-1)!}\\\\\\=\dfrac{14!}{1!13!}\\\\\\=\dfrac{14\times13!}{1\times13!}\\\\=14.$

Thus, the required number of ways is 14.

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George wants to invest $20,000 One investment pays interest at a rate of 18 2/3% while another pays interest at a rate of 0.1872

xz_007 [3.2K]

Answer:

Investment with interest rate 0.1872 is better

Step-by-step explanation:

Given as :

George investment principal = $20,000

The Rate of interest (R1) = 18 $\frac{2}{3}$ % = $\frac{56}{3}$ %

I.e R1 = 18.67 %

Again The The Rate of interest (R2) = 0.1872 = 18.72 %

Let the time period for both rate of interest = 1 years

Now from compound interest method

Amount = Principal × $(1 + \frac{Rate}{100})^{Time}$

Or, A 1 = $ 20 , 000 × $(1 + \frac{18.67}{100})^{1}$

Or, A 1 = $ 20 ,000 × 1.1867

∴ A 1 = $ 23,734

And A 2 = $ 20 , 000 × $(1 + \frac{18.72}{100})^{1}$

Or, A 2 = $ 20 ,000 × 1.1872

∴ A 2 = $ 23,744

Hence From the calculation of both amount it is clear that , investment with interest rate 0.1872 is better . Answer

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3 years ago

Find the radius of a circle if the circumference is 66cm

FrozenT [24]

Answer:

Approximately 10.5, or 10.5095541.

Step-by-step explanation:

To find the radius given the circumference of a circle, we first have to divide the circumference by pi, or an estimation of 3.14. This will give us the diameter.

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3 years ago

Read 2 more answers

you invest $1000 in an account at 2.5% per year simple interest. How much will you have in the account at the beginning of the 4

AlladinOne [14]

Answer:

Step-by-step explanation:

I = PRT

P = 1000

R = 2.5% or 0.025

T = 4

I = (1000)(.025)(4)