Tina wants to save money for school. tina invests $400 in an account that pay an interest rate of 7.5%. How many years will it take for the account to reach $8500? Round your answer to the nearest hundredth.

Answers

Answer 1

Answer: Here's the given:
P=$400
i=7.5%
A=$8500

The formula used for this problem is:
A = P(1+i)^t

Manipulating the equation to arrive at t, we have:
t = ln(A/P) / ln(1+i)

Plugging in values:
t = ln($8500/$400) / ln(1+0.075)
t = 42.26 years

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Which set of ordered pairs represents a function?{(0, 1), (1, 3), (1, 5), (2, 8)}
{(0, 0), (1, 2), (2, 6), (2, 8)}
{(0, 0), (0, 2), (2, 0), (2, 4)}
{(0, 2), (1, 4), (2, 6), (3, 6)}

Please explain why.

Answers

The very last set
{(0, 2), (1, 4), (2, 6), (3, 6)}.

The reason why is because of the vertical line test. If there are two y-coordinates on a x-coordinate then it is not a function. A function is that each x-coordinate has a y-coordinate with the x-coordinates being different.

Example is above. If you have any questions then leave a comment. Good luck!

Answer:

last one

Step-by-step explanation:

The ordered pairs (1,6), (,25), (3,36), (4,49) and (5, 64) represent a function. what is a rule that represents this function?

Answers

I believe this is a function. I am not sure because one of the pairs only has a y value.
But the rule is there can only be one x value for one y value so for example, you can have (3.7) and (3,9) and the same for the y values.

Today the coast of a gallon of gas is $2.65. Every week for the next 10 weeks, it will increase by $0.05.a gallon. If you wrote a linear equation to model this situation,what would the slope be?

Answers

We don't need to know how many weeks it kept up
that same rate of increase.

You just told us that it increases by $0.05 a gallon each week.

So the slope of a graph during that period is $0.05 / week.

While the earth's orbit (path) about the sun is slightly elliptical, itcan be approximated by a circle with a radius of 93,000,000 miles.
a) How far does the earth travel in one orbit about the
sun? That is, what is the approximate circumference of the earth's path?
b) Approximately how fast is the earth traveling in its orbit in space? Calculate
your answer in miles per hour.

Answers

a. The circumference should be 186000000π mile

b. The speed of the earth should be 7750000π miles per hour.

Calculation of the circumference & speed of the earth:

Since the radius is 93000000 miles

So, here the circumference is

= 2πr

= 2π(93000000) miles

= 186000000π miles

b) Now the speed is

speed = distance ÷ time

Here the time should be 24 hours

So,

Speed = 186000000π ÷ 24

= 7750000π miles per hour

Learn more about speed here: brainly.com/question/24394014

The circumference= 186000000π miles and the speed or the earth is 7750000π miles per hour.

Step-by-step explanation:

Radius (r) = 93000000 miles

a) circumference= 2πr

= 2π(93000000) miles

= 186000000π miles

b) speed = distance / time

Here distance is the circumference and time is 24hrs because if the earth completes 1 revolution around the sun in 24hrs.

Speed = 186000000π/24

= 7750000π miles per hour

Find the product. -mnp(3m - 5n + 7p)

Answers

- mnp ( 3 m - 5 n + 7 p )

= -mnp * 3 + 5mn² - 7 mnp²

=> - 3 m²np + 5 mn² - 7 mnp²

hope this helps!

Answer:

- 3 m²np + 5 mn² - 7 mnp²

Step-by-step explanation:

Domain and Range of each graph. (50 Points)

Answers

Answer:

a. Domain: {-5} Range: [-5, 5]

b. Domain: (-∞, ∞) Range: (-∞, ∞)

c. Domain: [-1, 2] Range: [-5, 5]

d. Domain: [-4, 4] Range: [-4, 4]

Step-by-step explanation:

Domain is the set of x-values that can be inputted into function f(x).

Range is the set of y-values that can be outputted by function f(x).

Answer:

Coordinate geometry is one of the most important and exciting ideas of mathematics. In particular it is central to the mathematics students meet at school. It provides a connection between algebra and geometry through graphs of lines and curves. This enables geometric problems to be solved algebraically and provides geometric insights into algebra.

The invention of calculus was an extremely important development in mathematics that enabled mathematicians and physicists to model the real world in ways that was previously impossible. It brought together nearly all of algebra and geometry using the coordinate plane. The invention of calculus depended on the development of coordinate geometry.

Step-by-step explanation:

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