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Gnoma [55]
4 years ago
14

Determine the 50th term of the sequence 100, 92, 84

Mathematics
1 answer:
spin [16.1K]4 years ago
4 0
We can figure this out using what's called an explicit formula.

f(n)=f(1)+d(n-1)

n is the term we are looking for.
f(1) is the first term of the sequence, which in this case, is 100.
d is the common difference, which in this case, is -8.

f(n) = 100 - 8(n - 1)
f(n) = 100 - 8n + 8
f(n) = 108 - 8n

Now, we can input 50 for n and solve.

f(50) = 108 - 8(50)
f(50) = 108 - 400
f(50) = -292

The 50th term in this sequence is -292.
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Which of the following does NOT represent a whole number?<br> 9, 6.0, 12/4, -12/3 help plz
34kurt

Answer:

-12/3

Step-by-step explanation:

Whole numbers can't be negative!

8 0
4 years ago
Solve y^2 4y - 32 = 0 using the zero product property.a. y=3b. y = -8, 4c. y = 8, -4d. y = -8, 6
Lady_Fox [76]
Y^2 + 4y - 32 = 0
y^2 - 4y + 8y - 32 = 0
y(y - 4) + 8(y - 4) = 0
(y + 8)(y - 4) = 0
y + 8 = 0 or y - 4 = 0
y = -8 or y = 4.
4 0
3 years ago
The amount of money in an account may increase due to rising stock prices and decrease due to falling stock prices. Marco is stu
sasho [114]

Answer:

Step-by-step explanation:

Account A: Decreasing at 8 % per year

Account B: Decreasing at 10.00 % per year

The amount f(x), in dollars, in account A after x years is represented by the function below:

f(x) = 10,125(1.83)x

Account B shows the greater percentage

change

Step-by-step explanation:

Part A: Percent change from exponential

formula

f(x) = 9628(0.92)*

The general formula for an exponential

function is

y = ab^x, where

b = the base of the exponential function.

if b < 1, we have an exponential decay

function.

f(x) decreases as x increases.

Account A is decreasing each year.

We can rewrite the formula for an

exponential decay function as:

y= a(1 – b)”, where

1- b = the decay factor

b = the percent change in decimal

form

If we compare the two formulas, we find

0.92 = 1- b

b = 1 - 0.92 = 0.08 = 8 %

The account is decreasing at an annual rate of 8%. The account is decreasing at an annual rate of 10.00%.

Account B recorded a greater percentage change in the amount of money over the previous year.

4 0
3 years ago
Can somebody help me pleasee????
Marina86 [1]

Answer:

C

Step-by-step explanation:

3x + 3y = -x + 5y

3x + x = 5y - 3y

4x = 2y

Divide both by 2

2x = y

(1,2) when x=1, y=2

2(1)=2 is a true statement

(2,4) when x=2, y=4

2(2)=4 is a true statement

8 0
4 years ago
Translate and solve 5 less then three times a number is 16
Sergeu [11.5K]

Answer:

the number is 7

Step-by-step explanation:

I am not sure what you mean by "translate" but here is my solution to the problem.

first write the question as a equation: 3x - 5 = 16

then add 5 to both sides: 3x = 21

divide both sides by 3: x = 7

double check

3*7 - 5 = 16

the number is 7

8 0
3 years ago
Read 2 more answers
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