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Deffense [45]
3 years ago
11

Ryan deposited $6,700 into an account at the Town Bank, earning 3.4% interest compounded annually. He made no deposits or withdr

awals. Write and solve the equation to find the amount of money in his account after 4 years. Round to the nearest cent.
Mathematics
1 answer:
Nonamiya [84]3 years ago
6 0

Answer: The amount of money in his account after 4 years = $7,658.73

Step-by-step explanation:

If interest is compounded annually, then formula to compute amount :

A=P(1+r)^n, where P+ principal value, r= rate of interest, n= time ( in years).

As per given,

P= $6700 ,  r = 3.4% =0.034, n =4

A=6700(1+0.034)^4\\\\=6700(1.034)^4\\\\=6700(1.14309455234)\approx7658.73

Hence, the amount of money in his account after 4 years = $7,658.73

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Solve the system by substitution
Lina20 [59]

Answer:

(-5, -30)

Step-by-step explanation:

We start with the equation:

y = 6x

y = -4x - 50

Since both of them are equal to y, we can substitute the 6x into y. So:

6x = -4x - 50

Now we can solve for x. Add 4x to both sides...

6x = -4x - 50

+4x   +4x

10x = -50

Now, divide both sides by 10.

<u>10x</u> = <u>-50</u>

10      10

x = -5

So, we now know that x is -5. Now we know this, we can substitute -5 where we see x. It works in both equations, so I will do both.

y = 6(-5)

y = -30

And...

y = -4(-5) - 50

y = 20 - 50

y = -30

As you can see, both equations show that y = -30. To check our work, let's plug in the values.

-30 = 6(-5)

-30 = -30

Also:

-30 = -4(-5) - 50

-30 = -20 - 50

-30 = -30

So, we can see that both of the equations gave us the same answer. So, our answer is x = -5 and y = -30, so the ordered pair is: (-5, -30). Hope this helps you!

6 0
3 years ago
The set of all positive integers that are divisible by both 15 and 35 is infinite. What is the least positive integer in this se
solniwko [45]

Answer:

105

Step-by-step explanation:

A "set" is a group of numbers.

A "positive integer" is a whole number that's bigger than zero.

"divisible by both 15 and 35" means a number that 15 and 35 goes into (with no remainder)

"least" means smallest.

15 and 35 both go into 105.

3 0
2 years ago
Helpppp plzzzzzzzzzz
chubhunter [2.5K]

Answer: sara is 60

Step-by-step explanation: 64 divided by 4 equals 16. 16 plus 44 equals 60

7 0
3 years ago
Kris is setting up tables for an awards banquet. Each table seats 16 people. What is the fewest number of tables
ipn [44]
9
132 divided by 16 is 8.25 but u still need to sit the remainder so 9
8 0
3 years ago
Read 2 more answers
(c) Which is greater, 300 kelvins or 25 degrees Celsius?
Karolina [17]
300 kelvins is bigger
8 0
3 years ago
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