1-1 Relations and Functions

Mathematics

1 answer:

Sati [7]3 years ago

6 0

Answer:

Option D

Step-by-step explanation:

A function is a relation where each domain is assigned to exactly one range value.

In the relation given, the value of '-2' is repeated and assigned with two range numbers.

Therefore, the relation is not a function because -2 is paired with two range values.

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If the diameter of a wheel is 0.5 meters, then the radius of the wheel is how many centimeters

NISA [10]

Radius = diameter x 0.5
0.5x0.5 = 0.25meter

0.25 meter x 100 cm (100cm in one meter) = 25cm

also for future reference circumference = pie x r squared.

8 0

3 years ago

Read 2 more answers

Type the correct answer in the box. Round your answer to the hundredth.

sesenic [268]

Answer:

Approximately 22.97 years

Step-by-step explanation:

Use the equation for continuously compounded interest, which uses the exponential base "e":

$A=P e^{k*t}$

Where P is the principal (initial amount of the deposit - unknown in our case)

A is the accrued value (value accumulated after interest is compounded), in our case it is not a given value but we know that it triples the original deposit (principal) so we write it as: 3 P (three times the principal)

k is the interest rate : 5% which translates into 0.05

and t is the time in the savings account to triple its value (what we need to find)

The formula becomes:

$3P = P e^{0.05 * t}$

To solve for "t" we divide both sides of the equation by P (notice it cancels P everywhere), and then to solve for the exponent "t" we use the natural logarithm function:

$\frac{3P}{P} = \frac{P}{P} e^{0.05 * t}$