All categories

3 years ago

3. Write an exponential equation for each coin that will give the coin's value, V, at any time, t. Use

Mathematics

1 answer:

Sloan [31]3 years ago

7 0

Answer:

Coin A : $V(t)=25(1.07)^t$

Coin B : $V(t)=40(1.05)^t$

Step-by-step explanation:

Consider the given formula is

$V(t)=P(1+r)^t$

where, P is current value, V(t) is the value of the coin in t years, and r is annual appreciation rate.

For coin A, current value is 25 dollars and annual appreciation rate is 7%.

$V(t)=25(1+0.07)^t$

$V(t)=25(1.07)^t$

For coin B, current value is 40 dollars and annual appreciation rate is 5%.

$V(t)=40(1+0.05)^t$

$V(t)=40(1.05)^t$

Therefore, the required equations for coin A and B are $V(t)=25(1.07)^t$ and $V(t)=40(1.05)^t$ respectively.

You might be interested in

(a) How many tens are in 457? How many whole tens?

PolarNik [594]

Answer:

45,7 tens
45 whole tens

Step-by-step explanation:

457 / 10 = 45,7

5 0

2 years ago

What is 10 times 2.50?

dolphi86 [110]

Twenty five dollars answeris

4 0

3 years ago

Read 2 more answers

The pep club and honor society are joining forces to raise money for school improvements.

Fittoniya [83]

Answer:

Part a) The graph in the attached figure

Part b) see the explanation

Part c) see the explanation

Step-by-step explanation:

Let

x ----> represent pep club donations

y ---> represent donations raised by the honor society

we have

$x+y\geq 500$ ----> inequality A

The solution of the inequality A is the shaded area above the solid line $x+y=500$

$x\geq 100$ ----> inequality B

The solution of the inequality B is the shaded area at right of the solid line $x=100$

Part a) Graph the system of inequalities

using a graphing tool

The solution of the system of inequalities is the shaded area

Remember that the variables x and y cannot be a negative number

see the attached figure

Part b) What does the point (300,100) represent? Is it a viable solution?

The point (300,100) means that the donations raised for pep club was $300 and the donations raised by the honor society was $100

The point (300,100) is not a viable solution, because the point not belong to the shaded area of the solution of the system of inequalities

Verify

If the ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequality

For x=300, y=100

Inequality A

$300+100\geq 500$

$400\geq 500$ ----> is not true

The ordered pair not satisfy the inequality A

therefore

The point (300,100) is not a viable solution

Part c) What does the point (500,200) represent? Is it a viable solution?

The point (500,200) means that the donations raised for pep club was $500 and the donations raised by the honor society was $200

The point (500,200) is a viable solution, because the point belong to the shaded area of the solution of the system of inequalities

Verify

If the ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequality

For x=500, y=200

Inequality A

$500+200\geq 500$

$700\geq 500$ ----> is true

The ordered pair satisfy the inequality A

Inequality B

$500\geq 100$ ---> is true

The ordered pair satisfy the inequality B

therefore

The point (500,200) is a viable solution

3 0

3 years ago

What is the probability of drawing yellow marble followed by a red marble from a bag containing 12 yellow marbles 14 red marbles

Zinaida [17]

The probability of drawing both without replacing either is :

14/41 * 12/40 = 7/41 * 3/5 = 21/205

The probability of drawing both WITH replacement is:

14/41 * 12/41 = 168/ 1681

7 0

3 years ago

12. What percent of 60 is 12? Show your work.

Tatiana [17]

20\100 x 60=12
answer=20

7 0

3 years ago