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liq [111]
3 years ago
12

The table below shows the average yearly balance in a savings account where interest is compounded annually. no money is deposit

ed or withdrawn after the initial amount is deposited. which type of function best models the given data?
a. linear function with a negative rate of change
b. linear function with a positive rate of change
c. exponential decay function
d. exponential growth function
Mathematics
1 answer:
djverab [1.8K]3 years ago
6 0
A. Linear with a negative rate of change
You might be interested in
129 rounded to the nearest ten
siniylev [52]
129 rounded to the nearest ten is 130.

When you round to the nearest ten, you should be looking for;
10, 20, 30, 40, 50, 60, 70, 80, 90. 
8 0
4 years ago
Find the common ratio and find the 15th term.<br> 1,3,9,27...<br> Show all work.
natali 33 [55]

Answer:

4782969

Step-by-step explanation:

the equation for finding a term (IN A GEOMETRIC series) is a1(r)^(n-1)

a1=first term

r=ratio

n=the number you want

you can see that the sequence increases by the eponent of 3 increasing y 1 each time. So for the first time 3^0=1,3^1=3, 3^2=9 and so on. So we can determine that the ratio is 3.

so now we can plug all that information into the equation

1(3)^(15-1)=the 15th term

4782969=15th term

Hope that helps :)

8 0
3 years ago
What is the area of the triangle bounded by the x-axis, the y-axis, and the line y=−3x+8?
Elden [556K]

Answer:

hope this helps u

Step-by-step explanation:

(❁´◡`❁)

7 0
2 years ago
F(x) = = -x + 9<br> g(x) = x2 - 6x + 9<br> What is the value of g(f(0))
mote1985 [20]
<h3>Answer:    36</h3>

=========================================================

Explanation:

f(x) = -x+9

f(0) = -0+9 .... replace x with 0

f(0) = 9

We will replace f(0) with 9 in the g(x) function. In other words, we plug in x = 9 into the g(x) function

This is because g( f(0) ) = g( 9 )

g(x) = x^2 - 6x + 9

g(9) = 9^2 - 6*9 + 9 ... replace x with 9

g(9) = 81 - 54 + 9

g(9) = 36

Therefore, g(f(0)) = g(9) = 36 or simply g(f(0)) = 36

-----------------------

Another method is to compute g(f(x)) algebraically first

g(x) = x^2 - 6x + 9

g(f(x)) = ( f(x) )^2 - 6*( f(x) ) + 9 .... replace every x with f(x)

g(f(x)) = ( -x+9 )^2 - 6*( -x+9 ) + 9 .... replace f(x) with -x+9

g(f(x)) = x^2 - 18x + 81 + 6x - 54 + 9

g(f(x)) = x^2 - 12x + 36

then we plug in x = 0

g(f(x)) = x^2 - 12x + 36

g(f(0)) = 0^2 - 12*0 + 36 ... replace x with 0

g(f(0)) = 36

4 0
3 years ago
A riverboat travels 52 km downstream in 2 hours. It travels 66 km upstream in 3 hours. Find the speed of the boat and the speed
ElenaW [278]

Answer:

The speed of the boat is 24 kilometers per hour, and the speed of the stream is 2 kilometers per hour.

Step-by-step explanation:

Given that a riverboat travels 52 km downstream in 2 hours, and it travels 66 km upstream in 3 hours, the following calculations must be performed to find the speed of the boat and the speed of the stream:

Downstream = 52/2 = 26

Upstream = 66/3 = 22

Stream = 4/2 = 2

Therefore, the speed of the boat is 24 kilometers per hour, and the speed of the stream is 2 kilometers per hour.

8 0
3 years ago
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