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Triss [41]
2 years ago
3

What is the answer how does the value of the digit 3 in the number 63,297 compare to the value of the digit 3 in the number 60,3

25 be sure to include what you know about place value in your answer
Mathematics
1 answer:
Ksivusya [100]2 years ago
7 0

Answer:

The value of the digit 3 in the number 63,297  is three times the value of the digit 3 in the number 60,325.

Step-by-step explanation:

We  wan to compare the value of the digit 3 in the number 63,297  to the value of the digit 3 in the number 60,325.

The value of the digit 3 in the number 63,297  is 3,000 because it is in the thousands place.

The value of the digit 3 in the number 60,325 is 300 because it is in the hundreds place.

To see how the two values compare, we divide 3,000 by 300 to get:

\frac{3,000}{300}=10

Therefore the value of the digit 3 in the number 63,297  is three times the value of the digit 3 in the number 60,325.

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Clarissa needs a $2,500 loan in order to buy a car. Which loan option would allow her to pay the least amount of interest?
denis-greek [22]

Answer:

Option A.

Step-by-step explanation:

Clarissa needs a $2,500 loan in order to buy a car.

There are 4 options of loan we will calculate all the options that pay the least amount of interest.

To calculate the interest we will use this formula :

\frac{P\times R\times time}{100}

Where P = Principal amount

R = rate of interest

T = time in years

A) Principal 2,500 interest 4.75% and time 18 months (1.5 years)

\frac{2500\times 4.75\times 1.5}{100}

= $178.125

B) Principal 2,500 interest 4% and time 30 months (2.5 years)

\frac{2500\times 4\times 2.5}{100}

= $250

C) Principal 2,500 interest 4.25% and time 24 months (2 years)

\frac{2500\times 4.25\times 2}{100}

= $212.50

D) Principal 2,500 interest 4.50% and time 36 months (3 years)

\frac{2500\times 4.5\times 3}{100}

= $337.50

The least amount of interest would be in option A.

5 0
2 years ago
Alice and Briana each participate in a 5 kilometer race. Alice's distance covered, in kilometers, after t minutes can be modeled
Pavel [41]

Answer:

a. Alice

b. Briana

c. 0.51 minutes

Step-by-step explanation:

a. Alice formula is valid for any t > 0 minutes, but Briana formula is only valid for

2t - 1 > 0

2t > 1

t > 1/2 minutes

b. They finish when their covered distance is equal to 5 kilometers. For Alice:

t/4 = 5

t = 5*4 = 20 minutes

For Briana:

√(2t - 1) = 5

2t - 1 = 5²

2t = 25 + 1

t = 26/2

t = 13 minutes

c. They are side by side when they have covered the same distance, that is:

t/4 = √(2t - 1)

(t/4)² = 2t - 1

t²/16 = 2t - 1

t² = 16*(2t - 1)

t² = 32t - 16

t² - 32t + 16 = 0

Using quadratic formula:

t = \frac{-b \pm \sqrt{b^2 - 4(a)(c)}}{2(a)}

t = \frac{32 \pm \sqrt{-32^2 - 4(1)(16)}}{2(1)}

t = \frac{32 \pm 30.98}{2}

t_1 = \frac{32 + 30.98}{2}

t_1 = 31.49

t_2 = \frac{32 - 30.98}{2}

t_2 = 0.51

Only the second answer has sense for this problem because the race already finished before they spent 31.49 minutes in it.

4 0
2 years ago
Read 2 more answers
If Jimmy increases a number by 10%, and then decreases this new value by 10%, what percent of the original number will the final
ludmilkaskok [199]
If he increases the number by 10%, he will have 110% of the number. 
Then he reduces it by 10% of the new number, which s 11%. 
110% - 11% = 99%
The answer is 99%.
Hope this helps!
8 0
2 years ago
25xy=225 convert to polar form
bixtya [17]
\bf x=rcos(\theta)\qquad \qquad y=rsin(\theta)\\\\
-----------------------------\\\\
25xy=225\implies xy=\cfrac{225}{25}\implies xy=9
\\\\\\
rcos(\theta)\cdot rsin(\theta)=9\impliedby \textit{common factor}
\\\\\\
r[cos(\theta)sin(\theta)]=9\implies r=\cfrac{9}{cos(\theta)sin(\theta)}
6 0
2 years ago
*WILL GIVE BRAINLIEST*
Luda [366]

Answer:

B - Spider-Man

Step-by-step explanation:

8 0
2 years ago
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