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GREYUIT [131]
3 years ago
5

The sum of nine times a number and fifteen is less than or equal to the sum of twenty-four and ten times the number

Mathematics
1 answer:
baherus [9]3 years ago
6 0
(15 + 9x) \leq (24 + 10x)
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Which equation is correct?
nikdorinn [45]

Answer:

D) arccsc (x) = arcsin (1/x)

Step-by-step explanation:

Here's how you can prove it: Consider a right triangle with hypotenuse 1 and a side length 1/x.  If θ is the angle opposite of 1/x, then:

sin θ = 1/x

and

csc θ = x

Solving for θ:

θ = arcsin (1/x)

θ = arccsc (x)

Therefore:

arccsc (x) = arcsin (1/x)

6 0
3 years ago
The sum of $3,000 is deposited into an account paying 10% annually. If $1,206 is withdrawn at the end of years 1 and 2, how much
Yakvenalex [24]
What we have so far: 
INITIAL CASH AMOUNT IN THE BANK: USD3,000
ANNUAL INCREASE OF THE CASH AMOUNT IN THE BANK: 10%
YEARS THE CASH STAYED IN THE BANK: 2 years.
AMOUNT WITHDRAWN AT THE END OF YEAR 1: USD1,206
AMOUNT WITHDRAWN AT THE END OF YEAR 2: USD1,206

First, we need to solve for YEAR 1:
FOR YEAR 1: 
Initial Deposit * Annual Increase Rate = Annual Increase
3,000 * 0.10 = Year 1's Annual Increase
Year 1's  Annual Increase = USD300
∴The YEAR 1'S ANNUAL INCREASE IS USD300.
∴The NEW AMOUNT is now USD3,300.

BUT NOT SO FAST! After the year, you took out USD1,206.
New Amount - USD1,206 = Year 1 Amount
3,300 - 1,206 = Year 1 Amount
Year 1 Amount = USD2094
∴The YEAR 1 AMOUNT which will carry over to YEAR 2 is USD2094.

Now, let us solve for the REMAINING BALANCE.
FOR YEAR 2's Annual Increase: 
YEAR 1 AMOUNT * Annual Increase = Year 2's Annual Increase
2094*0.10 = Year 2's Annual Increase
Year 2's Annual Increase = USD209.4
∴The YEAR 1'S ANNUAL INCREASE IS USD209.4.
∴The NEW AMOUNT is now USD2,303.4.

But you took out USD1,206
USD2,303.4 - USD1,206 = Remaining Balance
Remaining Balance = USD1097.4

∴The Answer is: USD1097.4

7 0
3 years ago
Given f () = (5 – 1)? what is the value of f(11)?
skelet666 [1.2K]

Answer:

f(11) = 9

Step-by-step explanation:

f(x) = 1/4(5-x)^2

f(x) = 1/4 (5-11) ^2

f(11) = 1.25 - 2.75 ^2

f(11) = 9

8 0
3 years ago
Help on number eight
garri49 [273]
Its length would be 9 ft so 9 x 8 is 72.
7 0
3 years ago
Read 2 more answers
Always, sometimes, or never true
Kitty [74]
I think it’s always because the absolute value is always positive.
8 0
3 years ago
Read 2 more answers
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