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Ivahew [28]
3 years ago
7

Suppose each license plate in a certain state has three letters followed by three digits. The letters and and the digits , , and

are not used. So, there are letters and digits that are used. Assume that the letters and digits can be repeated. How many license plates can be generated using this format?
Mathematics
1 answer:
exis [7]3 years ago
7 0

Answer:

17576000 different possible license plates

Step-by-step explanation:

Note that in the question, repetition is allowed for both the letters and digits.

For the first letter, there are 26  choices to make. For the each of the letters, there are 26 choices for the second letter, and for each of the letters, there are another 26 choices for the third letter.

Therefore, this gives us 26x26x26 = 17576 possible pairs of letters.

For the three numbers, we have ten possibilities for the first digit, ten possibilities for the second digit, and ten possibilities for the third digit.

Therefore, this gives us 10x10x10 =1000 possible numbers.

The combined possibility of the license plates in both three letters and three numbers is 17576 x 1000 = 17576000 different possible license plates.

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What is the slope of (-2,7); (-5,3)
Vinvika [58]

Answer:

1 1/3

Step-by-step explanation:

m = y2-y1 over x2-x1

3 0
2 years ago
Use this diagram to find the required measures. 1 = 30°, 2 = 30°, 3 =
crimeas [40]

Answer:

if thisa is a triangle then 180-30+30 = 120 degree and we say all angles on a triangle add up to 180

Then reaply the rule changing 180 to 360 on all 4 sided shapes

180(n-2) to all other shapes.

ie) pentagon 180(n-2) = 540

continue with 540-30-30 = 480 etc....

Step-by-step explanation:

7 0
2 years ago
Sean's house is currently worth $188,900. According to a realtor, house prices in Sean's neighborhood will increase by 4.8% ever
mrs_skeptik [129]

Answer  

Given

Sean's house is currently worth $188,900.

According to a realtor, house prices in Sean's neighborhood will increase by 4.8% every year.

To prove

Formula

Compound\quaterly\ interest = Principle (1 + \frac{r}{4})^{4t}

Where r is the rate in the decimal form.

As given

Take\ Principle\ = P_{0}

Rate = \frac{4.8}{100}

              = 0.048

Put in the formula

Compound\quaterly\ interest = P_{0}(1 + \frac{0.048}{4})^{4t}

Compound\quaterly\ interest = P_{0} (1 + \frac{0.048}{4})^{4t}

Compound\quaterly\ interest = P_{0} (1 + 0.012)^{4t}       Compound\quaterly\ interest = P_{0} (1.012)^{4t}  

Now also calculated monthly.

Formula

Compound\ monthly = Principle (1 + \frac{r}{12})^{12t}

As given

Take\ Principle\ = P_{0}

Rate = \frac{4.8}{100}

              = 0.048

Put in the formula

Compound\ monthly = P_{0} (1 + \frac{0.048}{12})^{12t}

Compound\ monthly = P_{0} (1 + 0.004)^{12t}

Compound\ monthly = P_{0} (1.004)^{12t}

As the approximation quarterly growth rate of the value of sean's house is near the Compounded quarterly interest .

Thus Option (A) is correct.

i.e

The expression (1.0118)^{4t} reveals the approximate quarterly growth rate of the value of Sean's house.




                                               

                                                       




6 0
3 years ago
Read 2 more answers
If someone could pls help me this im new to this and yes tysm if you do :)
11111nata11111 [884]

Answer:

A circle of radius = 7 or diameter = 14 or circumference = 43.98 meters has an area of: 0.0001539 square kilometers (km²) 153.9 square meters (m²) 1.539 × 10 6 square centimeters (cm²)

Step-by-step explanation:

can I get branliest please?

8 0
2 years ago
Find the measure of the angle indicated in bold
11Alexandr11 [23.1K]
The answer is 50.

i came to this conclusion when using this equation: 15x+5=2+16x
for x, i got 3.

using my x-value, i replace “x” with “3” when solving angle measure, “15(3)+5”

15(3)+5= 50
there is your answer!
4 0
3 years ago
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