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Wewaii [24]
3 years ago
9

Explain how your knowledge of place value helps you divide a number in the thousands by whole numbers to ten . Give an example t

o support your explanation
Mathematics
1 answer:
poizon [28]3 years ago
5 0

Place value is the value individual digit has in its location: in order from higher to lower value, there is thousands, hundreds, tens, and ones.
When you divide by 10, you are affecting (only once) every digit from its current place value to the right.
For example 1000 divided by 10 = 100, you have relocated every digit to the right, making the zero dissolve (or better yet, divided by a hidden and in this case unusable comma).

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Write each statement as a decimal to two decimal places.
Ad libitum [116K]

Step-by-step explanation:

The above given statements can be written as decimals by first writing both quantities in a statement in the same unit.

1. $6.00 to 95 cents:

This is same as $6.00 : 95 cents = \frac{6.00}{95}956.00

Convert $6 .00 to cents to make both quantities be in the same unit.

$1 = 100 cents

$6.00 = 6*100 = 600 cents

\frac{600}{95} = 6.3295600=6.32 (to 2 d.p)

2. 3 hours to 35 minutes:

Convert 3 hours to 35 mins

1 hr = 60 mins

3 hrs = 3*60 = 180 mins

180mins : 35 mins = \frac{180}{35} = 5.14180mins:35mins=35180=5.14 (2 d.p)

3. 42 inches to 2 feet:

Convert 2 ft to inches

1 ft = 12 inches

2ft = 2*12 = 24 inches

42 in:24 in = \frac{42}{24} = 1.7542in:24in=2442=1.75

5 0
2 years ago
Which of the following graphs represents the function f(x) = x2 + x − 6?
Darya [45]

The answer is: D


Step-by-step explanation:

Direction: Opens Up

Vertex: ( −1/2, −25/4)

Focus: (−1/2, −6)

Axis of Symmetry: x = -12

Directrix:    y = -132                        


3 0
3 years ago
Read 2 more answers
When two variables have an inverse relationship, the slope is?
Temka [501]
When two variables have an inverse relationship, the slope is negatively correlated.
6 0
3 years ago
How do you write two hundred fifty-two and thirty-one ten thousandths
ryzh [129]

Answer:

252.3110

Step-by-step explanation:

5 0
3 years ago
The function in Exercise represents the rate of flow of money in dollars per year. Assume a 10-year period at 8% compounded cont
anzhelika [568]

Answer:

a) The present value is 688.64 $

b) The accumulated amount is 1532.60 $

Step-by-step explanation:

<u>a)</u><u> The preset value equation is given by this formula:</u>

P=\int^{T}_{0}f(t)e^{-rt}dt

where:

  • T is the period in years (T = 10 years)
  • r is the annual interest rate (r=0.08)

So we have:

P=\int^{T}_{0}(0.01t+100)e^{-rt}dt

Now we just need to solve this integral.

P=\int^{T}_{0}0.01te^{-rt}dt+\int^{T}_{0}100e^{-rt}dt

P=e^{-0.08t}(-1.56-0.13t)|^{10}_{0}+1250e^{-0.08t}|^{10}_{0}

P=0.30+688.34=688.64 $

The present value is 688.64 $

<u>b)</u><u> The accumulated amount of money flow formula is:</u>

A=e^{r\tau}\int^{T}_{0}f(t)e^{-rt}dt

We have the same equation but whit a term that depends of τ, in our case it is 10.

So we have:

A=e^{r\tau}\int^{T}_{0}(0.01t+100)e^{-rt}dt=e^{0.08\cdot 10}P

A=e^{0.08\cdot 10}688.64=1532.60 $

The accumulated amount is 1532.60 $

Have a nice day!

6 0
3 years ago
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