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2 years ago

Explain why it works to break apart a number by place values to multiply

2 answers:

kramer2 years ago

6 0

Well first of all if I had a multiplication question such as 12,000×1000 of course you would know it would be 12,000 well you would always use your place value chart saying ones tens hundreds thousands and thousands and hundreds

kow [346]2 years ago

4 0

If you had a problem like 80x20 you wouldn't know what that was but you can take out the 0's and do 8x2 which is 16 then add back both 0's to make 1,600

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Adam wishes to have $20 comma 000 available in 18 years to purchase a new car for his son as a gift for his high school graduat

wel

Adam should invest $15516 after 18 years.

<u>Explanation:</u>

Given:

Amount(18) = $20000

Rate of Interest, r = 1.41%

Time, t = 18 years

n = 365 (compounded daily)

General equation of amount that is compounded daily:

$A(t) = A_0(1 + \frac{r}{n} )^n^t$

Solving for A₀:

$A_0 = \frac{A(t)}{(1+\frac{r}{n} )^n^t}$

Substituting the values:

$A_0 = \frac{20000}{(1 + \frac{0.0141}{365})^3^6^5^X^1^8 } \\\\A_0 = \frac{20000}{1.289}\\ \\A_0 = 15516$

Therefore, Adam should invest $15516 after 18 years.

8 0

2 years ago

The density of lead is 11.4g/cm^3 at 25 degrees C. Calculate the volume occupied by 25.0g of lead

ElenaW [278]

Answer:

2.193 cm³

Step-by-step explanation:

density is mass divided by volume:

$density = \frac{mass}{volume}$

you can manipulate the formula by multiplying with volume:

$density \times volume = mass$

then dividing by density:

$volume = \frac{mass}{density}$

in this case:

$volume = \frac{25g}{11.4 \frac{g}{cm} } = 2.193 { \: cm}^{3}$

6 0

7 months ago

The area of a rectangle is 45 square inches. One dimension is 5 inches. What is the perimeter

professor190 [17]

Answer:

28 inches

Step-by-step explanation:

To begin, the area of a rectangle is base · height. Since we are given one of the sides already, you can make an equation to solve for the other value.

5 · x = 45

5x = 45

x = 9

A rectangle has two pairs of parallel sides, or in easier terms, two sets of sides that are the same. So, the perimeter is going to be two lengths plus two widths.

2 · 5 + 9 · 2 = 10 + 14 = 28

6 0

1 year ago

A linear function graph has a dotted diagonal line passing through the x-axis at (3, 0), and the y-axis at (0, minus 2) In the f

Delicious77 [7]

The graph which best represents the new function is a linear function on a coordinate plane as shown in the image below.

<h3>How to determine the graph of the new function?</h3>

First of all, we would determine the slope of the linear function as follows:

$Slope, m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope, m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\\\\Slope, m = \frac{-2\;-\;0}{0\;-\;3}$

Slope, m = ⅔.

Multiplying by -4, the new slope is:

Slope = ⅔ × -4

Slope = -8/3 or 2.7.

For the equation of this line, we have:

y - y₁ = m(x - x₁)

y - 0 = -8/3(x - 3)

y - 0 = -8/3x + 8

y = -8/3x + 8

Decreasing the y-value by 1, we have:

y = -8/3x + 8

y = -8/3x + 8 - 1

y = -8/3x + 7

Therefore, we would have a linear function on a coordinate plane as shown in the image attached below.

Read more on slope here: brainly.com/question/17601248

#SPJ1

4 0

1 year ago

A gym hold a 60 minute time exercise class on Saturday a several 45 minute classes during. The week last week all of the classes

tia_tia [17]

285=45x+60 because 285 stands alone and its you total. 45x is the its there with the variable x because the it says several

3 0

2 years ago