The table below shows the average yearly balance in a savingsaccount where interest is compounded annually. No money is
deposited or withdrawn after the initial amount is deposited.
Year Balance, in Dollars
0 380.00
10 562.49
20 832.63
30 1232.49
40 1824.39
50 2700.54
Which type of function best models the given data?
(1) linear function with a negative rate of change
(2) linear function with a positive rate of change
(3) exponential decay function
(4) exponential growth function

Answers

Answer 1

Answer:

In this exercise we need to have knowledge about functions in order to identify the function that corresponds to the values informed, like this:

Letter D

When dealing with the growth or decrease of several values, we find the exponential function, which can be described as:

exponential function, in mathematics, a relation of the form y = ax, accompanying the liberated variable x ranging over the whole genuine in existence number line as the example of a positive number a. Probably ultimate influential of the rapid change functions happen y = ex, every now and then composed y = exp (x),

See more about functions at brainly.com/question/5245372

Answer 2

Answer: Its d.exponential growth function b/c how it is written and how big it gets really fast. :) hope this helps

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The 7 in 7000 is how many times greater than the 7 in 70?

Answers

Each 0 I believe is worth 10 times so 7000 is 30 times more greater.

Can anyone explain how to differentiate this ? (2x^2+3)sin5x

Answers

Hello,

(u*v)'=u'v+uv'
u=2x²+3 ==> u'=4x
v=sin 5x ==>v'=cos 5x *5

((2x²+3 sin (5x))'=4x* sin (5x) +(2x²+3)*cos (5x) * 5

Is (-2) to the 27th power positive or negative and how would you know?

Answers

Answer:

It would be negative because multiplying a negative by a positive gives you a negative.

Solve the equation. Show your work.

1/a =6/18

Answers

1 6
--- = ---
a 18

- simplify 6/18, which should be 1/3. therefore, a = 3.

Solve the following system of equation graphically 2x+y=-1 and x+2y=4

Answers

As 2x + y = -1

Then,

y = - 1 - 2x

We can to replace on the bellow equation.

x + 2y = 4

x + 2.( -1 -2x) = 4

Doing the distributive

x + 2.(-1) + 2.(-2x) = 4

x -2 -4x = 4

-3x -2 = 4

-3x = 4 + 2

-3x = 6

x = 6/-3

x = -2
________________

Then, the value of y will be:

y = -1 -2x

y = -1 -2.(-2)

y = -1 + 4

y = 3

Round each number to the nearest hundredth. what is the best estimate for the answer to 434.657 102.494?

Answers

434.657, hundredth digit is 5, after the 5 is 7, since the 7 is more than 5, we add 1 to the hundredth digit 5, to make it become 6.

434.657 ≈ 434.66 to the nearest hundreth.

102.494, hundredth digit is 9, after the 9 is 4, since the 4 is less than 5, we the hundredth digit remains as 9.

102.494 ≈ 102.49 to the nearest hundreth.

Hope this helps.

Answer:

102.49 hope helps!!

Step-by-step explanation:

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