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Brut [27]
3 years ago
7

What is the answer for this problem?

Mathematics
1 answer:
Y_Kistochka [10]3 years ago
4 0
This is a problem involving the subtraction of two functions f(x) and g(x):

<span>if f(x)=3x-1 and g(x)=x+2, find (f-g)(x).  In other words, find:

</span><span>  f(x)  = 3x-1 
-{g(x) -(x+2)
-----------------
f(x) - g(x) = 3x - 1 - x - 2 = 2x - 3  (answer)</span>
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An account grows at an annual interest rate of r⁡​ ⁣, so it grows by a factor of x=1+r⁡​ ⁣⁣ ​⁡ each year. The function A(x)=800x
Paladinen [302]

Given:

Annual interest rate = r⁡​%

Growth factor : x = 1 + r⁡​

The below function gives the amount in the account after 4 years when the growth factor is x⁡​ ⁣⁣.

A(x)=800x^4+350x^3+500x^2+600x

To find:

The total amount in the account if the interest rate for the account is 3% each year and initial amount.

Solution:

Rate of interest = 3% = 0.03

Growth factor : x = 1 + ⁡0.03 = 1.03

We have,

A(x)=800x^4+350x^3+500x^2+600x

Substitute x=1.03 in the given function, to find the total amount in the account if the interest rate for the account is 3% each year.

A(1.03)=800(1.03)^4+350(1.03)^3+500(1.03)^2+600(1.03)

A(1.03)=800(1.12550881)+350(1.092727)+500(1.0609&#10;)+618

A(1.03)=900.407048+382.45445+530.45+618

A(1.03)=2431.311498&#10;

A(1.03)\approx 2431.31&#10;

Therefore, the total amount in the account is 2431.31 if the interest rate for the account is 3% each year.

For initial amount the rate of interest is 0.

Growth factor : x = 1 + ⁡0 = 1

Substitute x=0 in the given function to find the initial amount.

A(1)=800(1)^4+350(1)^3+500(1)^2+600(1)

A(1)=800+350+500+600

A(1)=2250

Therefore, 2250 was put into the account at the beginning.

3 0
3 years ago
Pls help. I’ve done a lot of googling and calculating but every answer I put is wrong
Anuta_ua [19.1K]

Answer:

5\sqrt{2}

Step-by-step explanation:

4 0
3 years ago
What is the value of x?
Ronch [10]

Answer:

x = 10

Step-by-step explanation:

Consecutive angles in a parallelogram are supplementary, thus

∠ A + ∠ B = 180, substitute values

9x + 8 + 8x + 2 = 180, that is

17x + 10 = 180 ( subtract 10 from both sides )

17x = 170 ( divide both sides by 17 )

x = 10

6 0
3 years ago
Read 2 more answers
What is the solution to this equation?<br> 6x + 10 - 2x= 7 + 23
Strike441 [17]

Answer:

\boxed{x=5}

Step-by-step explanation:

First, you need to combine like terms in order to begin simplifying. This is done by subtracting 2x from 6x. Also, add 7 to 23.

6x + 10 - 2x = 7 + 23

4x + 10 = 7 + 23

4x + 10 = 30

Now, you have a two-step equation. Subtract 10 from both sides, and then divide by 4.

4x + 10 = 30

4x = 20

x = 5 is the final answer.

7 0
3 years ago
Question 1 : Match the Term with the correct Definition
Alex_Xolod [135]

Answer:

Great Circle - A

Sphere - B

Ellipse - C

Circle - D

Triangle - E

A triangle

A triangle

7 0
3 years ago
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