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boyakko [2]
3 years ago
12

Hey guys I’m really struggling with these questions I know there’s alot all at once but if you can help me with either I would b

e really grateful. Thanks very much!

Mathematics
1 answer:
Marta_Voda [28]3 years ago
8 0

9514 1404 393

Answer:

  17. an = 4 +7(n -1)

  18. an = 35 -4(n -1)

  19. an = 21 +6(n -1)

  20. an = 2 +5(n -1)

Step-by-step explanation:

There are two numbers that tell you everything you need to know about an arithmetic sequence:

  • the first term (a1)
  • the common difference (d)

Using these two numbers, you can write the expression for the n-th term of the sequence as ...

  an = a1 + d(n -1)

This is true for any arithmetic sequence.

__

The first term is the first one listed, so is not hard to find.

The common difference is the difference between the second term and the first term: d = a2 -a1. Usually, you can do this subtraction in your head, so "by inspection" you can find the first term and common difference. For example, in problem 17, it is d = 11 -4 = 7.

_____

17. an = 4 +7(n -1)

18. an = 35 -4(n -1)

19. an = 21 +6(n -1)

20. an = 2 +5(n -1)

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Karen is a software saleswoman. Her base salary is $2100, and she makes an additional $50 for every copy of English is Fun she s
Shalnov [3]

Karen has a base salary that is $2100 and does not depends on how many copies she sells.

Additional to the base salary, she gets $50 for each copy she sells, so we can write this additional salary as 50*N, being N the number of copies she sells.

Then, we can write the total pay P as:

P=2100+50N

Then, if N=22, we can calculate the total pay as:

P(22)=2100+50\cdot22=2100+1100=3200

Answer:

The equation relating P and N is P=2100+50N.

The total pay when she sells 22 copies is $3,200.

4 0
1 year ago
1- write the x- coordinate and y- coordinate of points .<br>(please help me tomorrow is my exam)​
BigorU [14]

The answer to your questions is: 4, 2

3 0
3 years ago
There are 27369 wild horses on land being managed. estimated that 48.4% of this total is in nevada. how many horses are in nevad
bixtya [17]
48.4% of 27369....turn percent to decimal..." of " means multiply

0.484(27369) = 13246.596....round down to 13246 horses
8 0
3 years ago
A $52.50 screen door is on<br> sale for $42. Find the percent<br> of discount on the door.
Sindrei [870]

Answer:

20%

Step-by-step explanation:

<u><em>Given/To Find:</em></u>

<em>A $52.50 screen door is on</em>

<em>sale for $42. Find the percent</em>

<em>of discount on the door.</em>

<u><em>Solve:</em></u>

<em>Formula: Value 1 - Value 2 ÷ Original Value × 100</em>

<em />

<em>Hence we have:</em>

<em>52.50 - 42 = 10.5</em>

<em>10.5 ÷ 52.50 = 0.20</em>

<em>0.20 × 100</em>

<em>=20%</em>

<em />

<em>Check Answer:</em>

<em>52.50 × 20% = 10.5</em>

<em>52.50 - 10.5 = 42</em>

<em>Hence, the percent of discount on the door is 20%</em>

<em />

<u><em>Kavinsky</em></u>

8 0
2 years ago
Why can’t we use the rules for exponents when the bases are not common?
Kazeer [188]

Answer:

Ok, the rules of the exponent come from a logic construction.

If we have x^n

this means that n is multiplied by itself n times.

If we decompose n into a + b, we have:

x by itself a times, and then x by itself b times, and for how the product works, this is equivalent:

if n = 5, a= 2 and b = 3

x^5 = (x*x*x*x*x)   5 times-

x^5 = x^(2 + 3) = (x^2)*(x^3) = (x*x*)*(x*x*x) = x*x*x*x*x = x^5

And the same for the other rules:

(x^n)^b = x^n*b and such.

Obviusly, this only works when we have a common base.

So the correct answer is that we constructed the exponential rules in a way that only can be used when we have a common base, and this happens because to construct them, we started with common bases.

4 0
3 years ago
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