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Juliette [100K]
3 years ago
7

Answer to this question

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
4 0

Answer:

B) 20%

Step-by-step explanation:

Using the information given in the problem, the ratio of cats to dogs is 7:3 and the ratio of birds to dogs is 5:6.  In order to find the total ratio of all three animals, you need to compare the ratios given:

Cats: Dogs  is 7:3 and Birds: Dogs is 5:6

Since the ratio of Dogs increases from 3 to 6 in the two ratios, this is a factor of '2'.  We would need to also increase the amount of Cats by a factor of '2' to compare all three animals: 7 x 2 = 14.

The overall ratio of all three animals is:

Cats: Birds: Dogs = 14:5:6  

When we add 14 + 5 + 6 = 25, we can then take the number of birds in the ratio divided by the total number of animals to get a percent of birds at the store:

\frac{5}{25}=0.2*100=20%

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Elena L [17]
Question 1.
Step 1. Add the total cost of purchasing the luxury items:
TotalCost=35.95+34.65+15.30+6.99+42.96=135.85
You will spend $135.85 purchasing the luxury items.

Step 2. Add the total cost of purchasing the name brand items:
TotalCost=19.95+15.98+9.40+4.99+29.75=80.07
You will spend $80.07 purchasing the name brand items.

Step 3. Subtract the total cost of purchasing the name brand items from the total cost of purchasing the luxury items:
135.85-80.07=55.78

Answer to the original question:
We can conclude that you will spend $55.78 more by purchasing the luxury items.

Question 2:

Part 1. 
To find the how many months will take to pay the card debt, we are going to use the credit card equation: N=- \frac{1}{30}* \frac{ln(1+ \frac{b}{p}*(1+ \frac{r}{365})^{30}))  }{ln(1+ \frac{r}{365}) }
where
N is the months to pay the card
b is the balance 
p is the monthly payment 
r is the interest rate in decimal form 

We know from our problem that the balance of the credit card is $1,367.90 and the monthly payment is $400.00, so b=1367.90 and p=400. To find convert the interest rate to decimal form, we are going to divide the rate by 100% 
r= \frac{9.5}{100}=0.095.
Now that we have all we need, lets replace the values in our credit card equation: 
N=- \frac{1}{30}* \frac{ln(1+ \frac{b}{p}*(1+ \frac{r}{365})^{30})) }{ln(1+ \frac{r}{365}) }
N=- \frac{1}{30}* \frac{ln(1+ \frac{1367.90}{400}*(1+ \frac{0.095}{365})^{30})) }{ln(1+ \frac{0.095}{365}) }
N=3.4799

It will take you 3.5 months according to our calculation, but since you pay $400 each month on the due date, we can conclude that it will take you 4 months to pay off the card.

Part 2. To calculate the total amount paid including the interest, we just need to multiply the monthly payment by the number of payments.
We know from our problem that the monthly payment is $400. We also know from our previous calculations that the number of payments is 4, so lets multiply both quantities:
400*4=1600

We can conclude that the total amount paid including interest is $1,600


5 0
2 years ago
Please I need help PLEASE​
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Answer:

15/2.5  18/h

Step-by-step explanation:

5 0
3 years ago
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