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Tems11 [23]
3 years ago
7

The population of a small town in Maryland has grown at a constant rate over the last ten years. In 1998, the population was 305

people. If the population increased by 15% each year, what is the population in 2008? A. 350 people B. 457 people C. 1,233 people D. 3,507 people
Mathematics
1 answer:
Andreyy893 years ago
4 0
A=P(1+r)^t

A=305(1+.15)^10

A= 1233
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The sum of the dibits of a two digit number is 15. The number obtained by interchanging its digits exceeds the given number by 9
QveST [7]

Answer:

  78

Step-by-step explanation:

Interchanging the digits of a 2-digit number changes the value by a multiple of 9. The multiple is the difference between the digits of the number.

So, we have two digits that add to 15, and have a difference of 9/9 = 1. Since you're familiar with your addition facts, you know that the two digits are 7 and 8. Since the number we're looking for is the smallest of the numbers you can make with those digits, ...

  the original number is 78.

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More formally, let t and o represent the tens and ones digits of the original number.

  t + o = 15 . . . . . . the sum of digits is 15

  (10o +t) - (10t +o) = 9 . . . . swapping digits increases the value by 9

The latter equation simplifies to ...

  9o -9t = 9 . . . . collect terms

  o - t = 1 . . . . . . divide by 9 . . . (note the difference of digits is 9/9=1)

Adding this to the first equation gives ...

  (t +o) +(o -t) = (15) +(1)

  2o = 16

  o = 8

  t = o -1 = 7

The tens digit is 7 and the ones digit is 8: 78.

3 0
3 years ago
MATH SMARTIES I WILL GIVE BRAINLIEST AND CAN YOU EXPLAINE WHY YOU THINK ITS THAT ANSWER (SHOW WORK) SO I CAN UNDERSTAND THANK YO
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Answer:

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Step-by-step explanation:

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7 0
3 years ago
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Help me with this please​
Mice21 [21]
Answer : 1.05 . Hope I helped have a good day :)
4 0
3 years ago
One angle within a triangle is 76 degrees. What is the value of the exterior angle?
mrs_skeptik [129]

Answer:

The value of the exterior angle is 104\°

Step-by-step explanation:

we know that

The sum of the interior angle plus the exterior angle is equal to 180\°, because are supplementary angles.

Let

x-----> the measure of the exterior angle

so

76\°+x=180\°

solve for x

x=180\°-76\°=104\°

4 0
3 years ago
10.There are 476 students at Jackson School.They are all going on a field trip along with 35 additional sponsors (teachers and p
aleksklad [387]

Answer:

9 buses

Step-by-step explanation:

There are 476 students plus 35 sponsors

476+35=511

The bus holds 60 people the answer is 511 divided 60 = 8.5 so 9 bus..

5 0
3 years ago
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