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sp2606 [1]
3 years ago
15

Matching graphs with their correct equations. Someone please help!!

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
3 0
I believe the answer is C
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Account A and Account B both have a principal of $2,000 and an annual interest rate of 2%. No additional deposits or withdrawals
GuDViN [60]

Answer:

Account B earns more interest.

After 20 years, account B will have earned $171.89 more.

Step-by-step explanation:

Let's calculate the total for each account.

Account A:

Account A earns simple interest. We know that the principal value is $2000 and the interest rate is 2% or 0.02. We can use the simple interest formula:

A=P(1+rt)

Where A is the future value, P is the principal, r is the rate, and t is the time in years.

So, let's substitute 2000 for P, 0.02 for r, and 20 for t. This yields:

A=2000(1+0.02(20))

Multiply and add:

A=2000(1+0.4)=2000(1.4)

Multiply. So, the total amount of money in Account A after 20 years is:

A=\$2800

Since we initially deposited $2000 and our total is now $2800, this means that we earned an interest of 2800-2000=\$ 800

Account B:

Account B earns compound interest. Like Account A, Account B has a principal value of $2000 and the interest rate is 2% or 0.02. We also know that it's compounded annually, so once per year. We can use the compound interest formula:

B=P(1+\frac{r}{n}})^{nt}

Where B is the future value, P is the principal, r is the rate, n is the times compounded per year, and t is the time in years.

So, let's substitute 2000 for P, 0.02 for r, n for 1 (since it's compounded annually), and t for 20. This yields:

B=2000(1+\frac{0.02}{1})^{(1)(20)}

Simplify this to acquire:

B=2000(1.02)^{20}

Evaluate. Use a calculator. So, after 20 years, the amount of money in Account B is:

B\approx\$2971.89

Since our principal was $2000, this means that we earned an interest of approximately  2971.89-2000=\$ 971.89.

So, Account A earned an interest of $800 and Account B earned an approximate interest of $971.89.

So, Account B earned more interest.

And it earned 971.89-800=\$ 171.89 more than Account A.

And we're done!

5 0
3 years ago
Two isosceles triangles have congruent base angles. The lengths of a leg and base of one triangle are 17 cm and 10 cm respective
Harman [31]

Answer:

Triangle 1:  Leg 17  Base 10

Triangle 2: Leg ???  Base 8

Set up a proportion:

17 / 10 = Leg / 8

Leg = 13.6 cm


Step-by-step explanation:


4 0
3 years ago
involving flipping a fair coin. Assume that the coin is flipped 9 times. What is the probability that both heads and tails occur
alexgriva [62]
The probability would occur 9 times
7 0
3 years ago
Use the distributive property to simplify each expression<br> (2b - 10) 3.2
Darya [45]

Answer: 6.4b - 32

Step-by-step explanation:

4 0
3 years ago
Pls need help, will give brianlist
Firdavs [7]

Answer:

1) Your slope should be 1/5

2) Your slope should be \frac{-3}{2}

3) Your slope should be 1/2

I hope this helps! : )

5 0
2 years ago
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