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Fed [463]
2 years ago
14

What is the coefficient of 8 term in the expansion of 2( + 1)10?

Mathematics
1 answer:
sveticcg [70]2 years ago
3 0

Answer:

180

Step-by-step explanation:

2(8+1)10

add the number in parenthesis

2(9)10

18x10

180

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What is the equation of the line that has a slope of 3 and passes through the point (1, –2)?
lesya [120]

Answer:

y = 3x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 3 , thus

y = 3x + c ← is the partial equation

To find c substitute (1, - 2) into the partial equation

- 2 = 3 + c ⇒ c = - 2 - 3 = - 5

y = 3x - 5 ← equation of line

6 0
3 years ago
What’s the reciprocal of 5 4/9
stealth61 [152]

Answer:

9/49

Step-by-step explanation:

5 4/9 =49/9 and49/9*9/49=1 then reciprocal of 49/9 is9/49

5 0
2 years ago
To rent a certain meeting room, a college charges a reservation fee of $39 and an additional fee of $5.30 per hour. The math clu
inessss [21]

Answer:

the most time they can spend is 8 hours

6 0
3 years ago
Find the interest due on &1,400 at 9% for 270 days
Dimas [21]
Answer:
Interest = $93.205

Explanation:
Interest can be calculated as follows:
I = Prt
where:
I is the interest we want to canlculate
P is the principle amount = $1400
r is the interest rate in decimal = 9% = 0.09
t is the time in years = 270/365

Substitute with the givens in the above equation to get the value of the interest as follows:
I = 1400 * 0.09 * (270/365)
I = $93.205

Hope this helps :)
6 0
3 years ago
Jay makes a base salary of $2000 per month. Once he reaches $50000 in total sales, he earns an additional 5% commission (salary)
ki77a [65]

Answer:

j(s) = 0.05s -500

Step-by-step explanation:

Given

Base\ Salary = 2000

Commission = 5\% on Sales over 50000

Required

Determine the function j(s) for sales over 50000

Represent the total sales in a month with s.

Sales over 50000 in that month will be: s - 50000

So, the function j(s) is:

j(s) = Base Amount + Commission * Sales over 50000

j(s) = 2000 + 5\% * (s - 50000)

Convert % to decimal

j(s) = 2000 + 0.05 * (s - 50000)

Open bracket

j(s) = 2000 + 0.05 * s - 0.05 * 50000

j(s) = 2000 + 0.05s - 2500

Collect Like Terms

j(s) = 0.05s - 2500 + 2000

j(s) = 0.05s -500

3 0
3 years ago
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