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Anton [14]
2 years ago
7

The sum of an integer and 3 times the next consecutive integer is -21. Find the value of the greater integer.

Mathematics
1 answer:
Anni [7]2 years ago
5 0

Answer: -5

Step-by-step explanation:

i=integer

i+3(i+1)=-21

i+3i+3=-21

4i+3=-21

4i=-24

i=-6

i+1=-6+1=-5

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The cost of an limited edition figurine starts at $255 and it increases in value by 8% each year. What is the growth or decay ra
3241004551 [841]

Answer:

Growth rate = 8% = 0.08

Initial value (Po) = $255

F(t) = Po* e^rt

F(t) = $412.09897

Step-by-step explanation:

Given that:

Initial cost = $255

Rate of increase per year (r) = 8% = 0.08

Growth rate :

Final amount = Initial amount * (1 + rate)^time

Growth rate = 8% = 0.08

Initial value (Po) = $255

Exponential model for the cost :

F(t) = Initial value * e^(rate * time)

F(t) = Po* e^rt

Value after 6 years :

F(t) = Po* e^rt

t = 6

F(t) = 255 * e^(0.08*6)

F(t) = 255 * 1.6160744

F(t) = $412.09897

6 0
3 years ago
[60 pts] The following are minimum wages (in dollars) for a random sample of five states in the U.S. 12, 17, 12, 18, 17.25 Find
SCORPION-xisa [38]

Hello! My name is Chris and I’ll be helping you with this problem.

Date: 9/27/20  Time:  9:50 pm CST

Answer:  

Mean : 15.25

Median : 17

Mode : 12

Range : 6

Explanation:

Mean:  Add up all numbers and divide by the quantity

of numbers : 12 + 17 + 12 + 18 + 17.25 = 76.25 | 76.25 / 5 = 15.25

Median: All numbers in from least to greatest, the one in the middle of all the numbers is the median. 12, 12, 17, 17.25, 18

Mode: Mode is what number appears most often in the set. 12, 17, 12, 18, 17.25

Lastly, Range: Range is the difference

between the highest and lowest numbers in the set 18 - 12 = 6

I hope this helped answer your question! Have a great rest of your day!

Furthermore,  

Chris

3 0
4 years ago
Help 20 pts A string is tied to the top of a plant to keep it stabilized. The plant is 5 feet tall and the string is connected t
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The string tied to the plant would most likely be 7 feet long
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3 years ago
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What is the first operation used to evalute: 19-3x4+9÷9+7
-Dominant- [34]

You would use PEMDAS. So there are no P (parenthesis) so we move onto E (exponents). Since there are none of that we move onto M (multiplication) which is shown with (3 x 4). So that would be our first operation.

8 0
3 years ago
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What is the slope of the line through (-10, 1) and (0, –4)?
aleksandr82 [10.1K]

Answer:

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Step-by-step explanation:

slope = (y2-y1)/(x2-x1)

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         = -0.5

3 0
3 years ago
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