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SpyIntel [72]
3 years ago
7

What is the sum of the arithmetic sequence 149, 135, 121, …, if there are 28 terms?

Mathematics
1 answer:
andrey2020 [161]3 years ago
3 0
I needed my brother to help me with this one,so here is the answer.
The common difference is -14. 

<span>Let's simplify this by expressing each term as </span>
<span>163 - 14n </span>
<span>where n is the number of the term. </span>

<span>Then the sum of the 28 terms is </span>
<span>28 * 163 - 14 (1+2+3+...+28) </span>
<span>= 4,564 - 14 * 28 * 29 / 2 </span>
<span>= -1,120 </span>


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The difference between the square roots of a number is 30. what is the answer?
Sveta_85 [38]
Since 30 is not a square root you would use the closest square roots √25 and √36 which makes your answer 5 and 6
6 0
3 years ago
Christiana and Marlena opened their first savings accounts on the same day. Christiana opened her account with $55 and plans to
PolarNik [594]

Answer: it will take 4 months for the amount to be the same and the amount would be $95

Step-by-step explanation:

Let x represent the number if months it will take for the two accounts have the same amount of money.

Christiana opened her account with $55 and plans to deposit $10 every month. This means that the amount that in the account after x months would be

10x + 55

Marlena opened her account with $35 and plans to deposit $15 every month. This means that the amount that in the account after x months would be

15x + 35

For the amount in the accounts to be the same, the number of months would be

15x + 35 = 10x + 55

15x - 10x = 55 - 35

5x = 20

x = 20/5

x = 4

The amount would be

15 × 4 + 35

= 60 + 35

= $95

8 0
3 years ago
Read 2 more answers
After the expression is simplified as much as possible, x is raised to what exponent?
IrinaVladis [17]
The answer to the question

7 0
3 years ago
Solve for the value of x: 3x + 25 = 2/3 (6x - 15)​
n200080 [17]

3x + 25 = 2/3 (6x - 15)

9x + 75 = 12x - 30

75 + 30 = 12x - 9x

3x = 105

x = 105 : 3

x = 35

3 0
3 years ago
Rewrite the expression as an equivalent ratio of logs using the indicated base.log17(52.875) to base 10.
s2008m [1.1K]

Answer:

log_{17}52.875 = log_{10}52.875 : log_{10}17}

Step-by-step explanation:

Given

log_{17}(52.875)

Required

Convert to base 10

To do this, we make use of the following logarithm laws;

log_ba = \frac{log_{10}a}{log_{10}b}

In the given parameters;

a = 52.875

b = 17

Substitute these values in log_ba = \frac{log_{10}a}{log_{10}b}

log_{17}52.875 = \frac{log_{10}52.875}{log_{10}17}

Represent as a ratio

log_{17}52.875 = log_{10}52.875 : log_{10}17}

Hence;

log_{17}(52.875) is represented as log_{17}52.875 = log_{10}52.875 : log_{10}17}

7 0
3 years ago
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