Saul recorded the number of different types of pets his friends have in the table shown below: Cats 3 Dogs 2 Rabbits 1 Guinea Pi
gs 2 Which of the following plots represents the data in the table? A line with 4 tick marks labeled Cat, Dog, Rabbit, and Guinea Pig. Cat has 3 crosses, Dog has 2 crosses, Rabbit has 3 crosses, and Guinea Pig has 2 crosses. The line is labeled Number of Pets, and title of graph is Pet Owners. A line with 4 tick marks labeled Cat, Dog, Rabbit, and Guinea Pig. Cat has 1 cross, Dog has 2 crosses, Rabbit has 1 cross, and Guinea Pig has 2 crosses. The line is labeled Number of Pets, and title of graph is Pet Owners. A line with 4 tick marks labeled Cat, Dog, Rabbit, and Guinea Pig. Cat has 2 crosses, Dog has 1 cross, Rabbit has 0 crosses, and Guinea Pig has 1 cross. The line is labeled Number of Pets, and title of graph is Pet Owners. A line with 4 tick marks labeled Cat, Dog, Rabbit, and Guinea Pig. Cat has 3 crosses, Dog has 2 crosses, Rabbit has 1 cross, and Guinea Pig has 2 crosses. The line is labeled Number of Pets, and title of graph is Pet Owners.
2 answers:
Answer:
The correct answer is:
A line with 4 tick marks labeled Cat, Dog, Rabbit, and Guinea Pig. Cat has 3 crosses, Dog has 2 crosses, Rabbit has 1 cross, and Guinea Pig has 2 crosses. The line is labeled Number of Pets, and title of graph is Pet Owners.
Step-by-step explanation:
The survey is given as:
Pet Frequency
Cats 3
Dogs 2
Rabbits 1
Guinea Pigs 2
When we will draw a line plot where the horizontal axis denote the pet and the cross above the pet represent the number of pets.
Hence, as the frequency of cat is three so there will be three cross above cat.
Similarly as the frequency of dogs is two so there will be two cross above dogs.
the frequency of rabbits is one so there will be one cross above rabbit.
the frequency of Guinea Pigs is two so there will be two cross above Guinea Pigs.
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Johnson's will pay by the end of the 20-year loan $326,807.25
Johnson's will pay by the end of the 30-year loan $512,109.68
Step-by-step explanation:
The formula for compound interest, including principal sum is
, where:
- A is the future value of the investment/loan, including interest
- P is the principal investment amount (the initial deposit or loan amount)
- r is the annual interest rate (decimal)
- n is the number of times that interest is compounded per unit t
- t is the time the money is invested or borrowed for
The Johnson's are buying their first home. They are contemplating
two similar loans
The first is a 30-year loan for $150,000 at an interest rate of 4.1% APT
compounded monthly
∴ P = $150,000
∴ r = 4.1% = (4.1/100) = 0.041
∴ n = 12 ⇒ compounded monthly
∴ t = 30
- Substitute all of these values in the formula above
∴
∴ A = $512,109.68
Johnson's will pay by the end of the 30-year loan $512,109.68
The second is a 20-year loan for a $150,000 at an interest rate of 3.9%
APR compounded monthly
∴ P = $150,000
∴ r = 3.9% = (3.9/100) = 0.039
∴ n = 12 ⇒ compounded monthly
∴ t = 20
- Substitute all of these values in the formula above
∴
∴ A = $326,807.25
Johnson's will pay by the end of the 20-year loan $326,807.25
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