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2 years ago

Complete the recursive formula of the geometric sequence 27,−9,3,−1,

Mathematics

1 answer:

natita [175]2 years ago

5 0

Step-by-step explanation:

a1 = 27

r = -9/27 = -⅓

the formula :

an = a1. r^(n-1)

= 27. (-⅓)^(n-1)

= 3³(-3`¹)^(n-1)

= 3³(-3)^(1-n)

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Suppose the average yearly salary of an individual whose final degree is a master's is $43 thousand less than twice that of an

natka813 [3]

Answer:

A person who holds a master's degree would earn an average $63,000

A person who holds a bachelor's only would earn an average $53,000

Step-by-step explanation:

We will need to construct equations from the sentences.

Firstly, let the yearly average for a master's degree holder be m and that of bachelor's be b.

Now, we know that someone with a master's earn 43000 less than twice what someone with bachelors earn.

Mathematically,

m = 2b - 43,000

Combined, they have an average salary of 116,000

Mathematically,

m + b = 116,000

Now we have 2 equations to solve simultaneously.

m = 2b - 43,000 ......(i)

m + b = 116,000 .......(ii)

We can sub I into ii

2b - 43,000 + b = 116,000

2b+b = 116,000 + 43,000

3b = 159,000

b = 159,000/3 = 53,000

m = 2b - 43,000

m = 2(53,000) - 43,000 = 63,000

6 0

2 years ago

A candy package states that it now has 30% more candy. The original package had 5 ounces of candy. How much candy is in the new

Anastasy [175]

Answer:

There are now 6.5 ounces in the new bag.

Step-by-step explanation:

To solve this question, take 30% of 5 and add it to the original amount of 5

30% = 0.30

5 * 0.30 = 1.5

5 + 1.5 = 6.5 ounces of candy.

Hope this helps!

7 0

1 year ago

Solve the following equation.

natima [27]

5(z-4)-z=4z-20
5z-20-z=4z-20
4z=4z
z=z
The answer is C

8 0

2 years ago

Hannah buys 3 pairs of shoes for $x each. She uses a $10 off coupon. She

iogann1982 [59]

Answer:

$15 per pair

Step-by-step explanation:

We know that the total amount of money she spent on the shoes (without discount) is 3x. Since she used a $10 off coupon, the money she spent is 3x - 10, since $10 off means - 10. And this amount equals $35:

$3x - 10 = 35\\3x = 45\\x = 45/3 \\x = 15$

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3 0

2 years ago

Read 2 more answers

Which has the same sum as 67+14

yaroslaw [1]

46 + 35 same sum by 81

5 0

3 years ago