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Levart [38]
3 years ago
15

Caleb claims that the ordered pairs shown in the table below are from a nonlinear function.

Mathematics
1 answer:
dlinn [17]3 years ago
3 0

Answer:

Non-linear function.

Step-by-step explanation:

x                 0               1              2              3

f(x)              2               4             8             16

Ratio               \frac{4}{2}=2          \frac{8}{4}=2        \frac{16}{8}=2

Ratio of each successive term of f(x) to its previous term, is a common ratio of 2. So the given table represents an exponential function.

For a linear function there should be a common difference in each successive term of f(x).

Therefore, the table is for a non-linear function.

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Yvette is considering taking out a loan with a principal of $16,200 from one of two banks. Bank F charges an interest rate of 5.
umka21 [38]
Hi there
First find the monthly payment of each offer to see which monthly payment is lower
The formula of the present value of annuity ordinary is
Pv=pmt [(1-(1+r/k)^(-kn))÷(r/k)]
Pv present value
PMT monthly payment
R interest rate
K compounded monthly 12
N time
Solve the formula for PMT
PMT=pv÷[(1-(1+r/k)^(-kn))÷(r/k)]

Bank F
PMT=16,200÷((1−(1+0.057÷12)^(
−12×8))÷(0.057÷12))
=210.53

Bank G
PMT=16,200÷((1−(1+0.062÷12)^(
−12×7))÷(0.062÷12))
=238.21

From the above the monthly payment of bank f is lower than the bank g
And since the lifetime of bank g is lower than bank f the answer is
b. Yvette should choose Bank F’s loan if she cares more about lower monthly payments, and she should choose Bank G’s loan if she cares more about the lowest lifetime cost.

Good luck!


6 0
3 years ago
Mr. and Mrs. Chin flew from New York
marysya [2.9K]

Answer:

425 miles per hour

Step-by-step explanation:

Find the speed per hour by dividing the distance by the number of hours:

6375/15

= 425

This means the plane traveled 425 miles in one hour.

So, the plane's average speed was 425 miles per hour

6 0
3 years ago
Directions: for questions 1 through 4, find the diagonal length of each solid figure.
Alex787 [66]
\text{The length of the diagonal is }11.2\text{ mm}

Here, we want to find the diagonal of the given solid

To do this, we need the appropriate triangle

Firstly, we need the diagonal of the base

To get this, we use Pythagoras' theorem for the base

The other measures are 6 mm and 8 mm

According ro Pythagoras' ; the square of the hypotenuse equals the sum of the squares of the two other sides

Let us have the diagonal as l

Mathematically;

\begin{gathered} l^2=6^2+8^2 \\ l^2\text{ = 36 + 64} \\ l^2\text{ =100} \\ l\text{ = }\sqrt[]{100} \\ l\text{ = 10 mm} \end{gathered}

Now, to get the diagonal, we use the triangle with height 5 mm and the base being the hypotenuse we calculated above

Thus, we calculate this using the Pytthagoras' theorem as follows;

\begin{gathered} d^2=5^2+10^2 \\ d^2\text{ = 25 + 100} \\ d^2\text{ = 125} \\ d\text{ = }\sqrt[]{125} \\ d\text{ = }11.2\text{ mm} \end{gathered}

7 0
1 year ago
If 3 tons of flower bed mulch cost $480, what is the price per pound?
Goshia [24]
1 ton = 2,000 pounds 
3 tons = 6,000 pounds
$480/6,000 = 0.08 
per pound is $0.08
6 0
3 years ago
Your cousin gave you $0.72 with which to buy a gift. This covered 9/10 of the cost. How much did the present cost?
Helga [31]

Answer:

$0.80

Step-by-step explanation:

percent times the original number equals the part

(%)(start or total cost)= (part of the total cost). you need to know the total cost, so you would fill in the part and the percent. 0.9x=0.72. you use x because you don't know what the total cost is. then you divide both sides by 0.9 to get x by itself and you get that x = 0.8, meaning that the present costs $0.80.

5 0
3 years ago
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