Which of the folloing pairs consists of equivalent fractions? .4/6 and 3/5 or 9/16 and 3/32 or 18/48 and 15/40 or 7/10 and 10/7

13. Reason abstractly. If you subtract a negative number from

Kitty [74]

Subtracting a negative number is like removing debt. When you remove debt, you effectively gave someone money and the value of their bank account increased.

Another answer is that “subtraction is addition of the opposite,” so subtracting a negative number is really adding a positive number, which again causes the other number to increase.

8 0

3 years ago

Read 2 more answers

Find 3/8(3/4+5/6)−1/2. Write your answer as a fraction in simplest form.

AnnZ [28]

3/32 I think. I hope this helps! :)

4 0

3 years ago

Dimetri says that a function that is made of terms where the variables is raised only to an odd power will be an odd function.Do

lana [24]

Here we want to study the relation between the exponents in a polynomial function and the "odd" property of functions.

We will see that Dimetri is correct.

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

We start by defining an odd function as a function such that:

f(-x) = -f(x).

Now, let's see a simple function with only odd exponents.

f(x) = a*x (the exponent is 1, so it is odd).

if we evaluate this in x = 1, we get:

f(1) = a

If we evaluate this in x = -1, we get:

f(-1) = a*-1 = -a

Then this is odd.

Now let's see a more general case and why Dimetri is correct.

For the rule of signs, when we multiply 2 negative numbers, the product is positive.

So always that we have an even exponent on a negative number, the outcome will be positive.

This does not happen for odd exponents, because we can't separate all the products in groups of 2, thus if we take the odd exponent of a negative number, the outcome is negative.

Then for functions with only odd exponents, the outcome for evaluating the function in a given input is exactly the opposite of evaluating the same function with the opposite input.

This means that the function is odd.

Again, note that this only happens if the function only has odd exponents.

If you want to learn more, you can read:

brainly.com/question/15775372

6 0

3 years ago

Today, you want to sell a $1,000 face value zero coupon bond you currently own. The bond matures in 3.5 years. How much will you

Agata [3.3K]

The amount I would receive for the bond when I sell it at the yield to maturity is $810.41.

<h3>How much would I receive for the bond?</h3>

In order to determine the amount I would receive for the bond, the present value of the bond has to be determined. Present value is the discounted cash flow.

Present value = $10000 / (1.0619)^3.5 = $810.41

To learn more about present value, please check: brainly.com/question/26537392

4 0

2 years ago

Please help :) this is exponential decay 10 pts

VMariaS [17]

$50.00 after 0 months and $37.50 after 6 months.
We first must calculate half-life using the attached formula.
Half-Life = (time * ln(2)) / ln (beginning amount/ending amount)
Half-Life = (6 * 0.69314718056) / ln (50.00 / 37.50)
Half-Life = ( 4.1588830834 ) / ln ( 1.3333333333 )
Half-Life = ( 4.1588830834 ) / 0.28768207245
Half-Life = 14.456525038 months

Now we need to calculate "lambda"
lambda = ln(2) / half-life
lambda = 0.69314718056 / 14.456525038
lambda = 0.0479470121 

Next we have to use this formula:
Ending Amount = beginning amount • e^( -lambda • time )
(where "e" is the mathematical constant 2.718281828...)
Ending Amount = 50 * 2.718281828^(-0.0479470121*24 months)
Ending Amount = 50 * 2.718281828^(-1.1507282904)
Ending Amount = 50 * 0.3164062499 
Ending Amount = 15.82 dollars

**********************************************************************
As a DOUBLE-CHECK we can work this out every 6 months:

0 months $50
6 months = $50 - (50 *.25) = 37.50
12 months = $37.50 -(37.50 *.25) = 28.125
18 months = $28.125 -(28.125 * .25) = 21.09375 
24 months = $21.09375 -(21.09375 * .25) = 15.8203125 

You'll find this page quite helpful:
http://www.1728.org/halflif2.htm

5 0

4 years ago

Read 2 more answers