An account earns simple interest. $1800 at 6.5% for 30 months find the interest earne. find the balance of the account.

Answers

Answer 1

Answer: Interest earned: $292.50
Balance: $2092.50

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A raffle is held at MTHS ASB to draw for a $1000 plasma television. Two thousand tickets are sold at $1.00 each. Find the expected value of one ticket.

Answers

Answer:

$0.5

Step-by-step explanation:

"The expected value of one ticket" is what the cost of the television covers.

If 2000 tickets are sold for $ 1 the total amount of all tickets sold is

$2000.(1)= 2000$

To calculate the expected value of a single ticket, we have to divide the cost of the TV by the price of all tickets sold.

$(1000)/(2000)= 0.5$

The "expected value of a ticket" is the probability of being drawn multiplied by the earnings associated to being drawn.
($1 is the price of the ticket which of course can be different).

So in this case probability is 1/2000 and the earnings would be valued $1000 (value of the plasma TV).
The expected value is 1/2000*1000=1000/2000=$0,5

This means you should not buy a $1 ticket to play except if this really brings you LOTS of amusement ;)

Last year , a large trucking company delivered 5.5*10^5 tons goods with a average value of $23,000 per ton . What was the total value of the goods delivered ? Write your answer in scientific notation . Please , I have to do this before bed time . Can you help me ?
Thank you :)

Answers

5.5*10^5 = 550,000 tons

$23,000 per ton

23,000 x 550,000 = $12,650,000,000 (total value)

Now to convert to scientific notation.

1.265 x 10^10

Hope that was useful :)

What is the value of x in the equation 4(2x + 10) = 0?

−5
−7
5
7

Answers

Answer:

-5

Step-by-step explanation:

To Solve x we can use the product rule and multiply 4 in the the brackets:

$4*(2*x+10)=0$

$8*x+40=0$

We can move the fourty to the right hand side of the equal sign and then simplify the equation by dividing the whole expression by 8:

$8*x=-40$

$x=-40/8=-5$

The value of x is -5

4(2x + 10)=0
8x + 40 = 0
8x = -40
x = -5

Which statements are true for the functions g(x) = x2 and h(x) = –x2 ? Check all that apply.For any value of x, g(x) will always be greater than h(x).
For any value of x, h(x) will always be greater than g(x).
g(x) > h(x) for x = -1.
g(x) < h(x) for x = 3.
For positive values of x, g(x) > h(x).
For negative values of x, g(x) > h(x).

Answers

if x=0 then they have same value

1st and 2nd options are out

for x=-1
g(-1)=1
h(-1)=-1
3rd is true

4th
false

for all values except zero, g(x)>h(x)

correct ones are

g(x) > h(x) for x = -1.
For positive values of x, g(x) > h(x).
For negative values of x, g(x) > h(x).

Answer: g(x) > h(x) for x = -1.

For positive values of x, g(x) > h(x).

For negative values of x, g(x) > h(x).

Step-by-step explanation:

Given functions: $g(x)=x^2$ and $h(x)=-x^2$

When x=0, $g(0)=0^2=0$ and $h(0)=-0^2=0$

∴ at x=0, g(x)=h(0)

Therefore the statements "For any value of x, g(x) will always be greater than h(x)." and "For any value of x, h(x) will always be greater than g(x)." are not true.

When x=-1, $g(-1)=(-1)^2=1$ and $h(-1)=-(-1)^2=-1$

∴g(x) > h(x) for x = -1. ......................(1)

When x=3, $g(3)=(3)^2=9$ and $h(3)=-(3)^2=--9$

∴ g(x) > h(x) for x = 3....................(2)

⇒g(x) < h(x) for x = 3. is not true.

From (1) and (2),

For positive values of x, g(x) > h(x).

For negative values of x, g(x) > h(x).

How many numbers between 200 and 400 meet one or both of the conditions given in the two statements below?Statement 1: The number begins with 3
Statement 2: The number ends with 3

Answers

There are 100 numbers that begin with 3. In the other 200, there are effectively a tenth ending in 3. That is, 120 total numbers.

What is 12.312 trillion in scientific notation?

Answers

The scientific notation of 12.312 trillion is $1.2312 * 10^(13)$ .

What is scientific notation?

Scientific notation is a means of representing large number numbers in standard form using power of 10.

The given number

= 12.312 trillion

There are 12 zeros in a trillion.

The scientific notation of 12.312 trillion is $12.312 * 10^(12) = 1.2312 * 10^(13)$ .

Learn more about scientific notation here: brainly.com/question/1199149

1.2312 x 10^13
A million is 10^6
A Billion is 10^9
A trillion is 10^12
12.312 trillion is 12.312 x 10^12 which is the same as 1.2312 x 10^13

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