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3 years ago

How many 100 dollar bills make 2324 dollars

1 answer:

4 0

Answer: 24 $100 bills, even though this will add up to more than 2324 dollars, it is the amount needed to cover the price

Step-by-step explanation: divide 2324 dollars by 100

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You have 480 grams of a radioactive kind of samarium. If its half-life is 90 years,

lisov135 [29]

Answer:

120 grams will be left after 180 years.

Step-by-step explanation:

A radioactive half-life refers to the amount of time it takes for half of the original isotope to decay and its given by

$N(t)=N_0(\frac{1}{2})^\frac{t}{t_{1/2}}$

where,

$N(t)$ = quantity of the substance remaining

$N_0$ = initial quantity of the substance

$t$ = time elapsed

$t_{1/2}$ = half life of the substance

From the information given we know that:

The initial quantity is 480 g,
The half-life is 90 years,
180 years is the time elapsed.

And we want to find how much will be left. For this we use the above formula.

$N(t)=480\left(\frac{1}{2}\right)^{\frac{180}{90}}\\\\N(t)=480\left(\frac{1}{2}\right)^2\\\\N(t)=480\cdot \frac{1}{2^2}=120$

120 grams will be left after 180 years.

3 0

3 years ago

The formula for the area of a trapezold with altitude k and bases m and n is A=k/2(m+n)

Ghella [55]

Answer:

$m=\frac{2A-kn}{k}$

Hence, option C is true.

Step-by-step explanation:

Given the expression

$A=\frac{k}{2}\left(m+n\right)$

Solving for 'm'

$A=\frac{k}{2}\left(m+n\right)$

Flip the equation

$\frac{k}{2}\left(m+n\right)=A$

Expanding by applying the distributive law: $a\left(b+c\right)=ab+ac$

$\frac{1}{2}km+\frac{1}{2}kn=A$

Add (-1)/2 × kn to both sides

$\frac{1}{2}km+\frac{1}{2}kn+\left(-\frac{1}{2}kn\right)=\left(-\frac{1}{2}kn\right)+A$

simplify

$\frac{1}{2}km=-\frac{1}{2}kn+A$

Divide both sides by k/2

$\frac{\frac{1}{2}km}{\frac{k}{2}}=\frac{-\frac{1}{2}kn+A}{\frac{k}{2}}$

$m=\frac{2A-kn}{k}$

Therefore,

$m=\frac{2A-kn}{k}$

Hence, option C is true.

7 0

3 years ago

How is shading a grid to show 1 tenth different from shading a grid to show 1 hundredth?

soldier1979 [14.2K]

If you have a grid with a hundred units and you need to show 1 hundredth (or 1%) you shade in 1 unit. If you need to show a tenth (or 10%) you shade 10 Units. I would need a picture of the grid to help any further.

6 0

3 years ago

Read 2 more answers

What is the answer to<br>2x+3=7

Natali5045456 [20]

2x=4 divide 4 by 2 x=2

6 0

3 years ago

You were given the polynomial f(x)=3x^3+13x^2+19x+k and you know that f(-2)=0find k

eduard

Answer:

k = 10

Explanation:

The initial polynomial is:

$f(x)=3x^3+13x^2+19x+k$

If f(-2) = 0, then when we replace x by -2, the result will be 0. It means that we can write the following equation:

$\begin{gathered} f(-2)=3(-2)^3+13(-2)^2+19(-2)+k=0 \\ 3(-2)^3+13(-2)^2+19(-2)+k=0 \end{gathered}$

Therefore, we can solve for k as follows:

$\begin{gathered} 3(-8)+13(4)+19(-2)+k=0 \\ -24+52-38+k=0 \\ -10+k=0 \\ -10+k+10=0+10 \\ k=10 \end{gathered}$

So, the value of k is 10

6 0

1 year ago