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3 years ago

Simplify the expression. 7(-2-7k) +4 Show all work below

Mathematics

1 answer:

belka [17]3 years ago

3 0

<h3>Answer: -49k - 10</h3>

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Work Shown:

7(-2-7k) + 4

7(-2) + 7(-7k) + 4

-14 - 49k + 4

-49k + (-14+4)

-49k - 10

In the second step, I distributed the outer 7 to each term inside. From there, I grouped and combined like terms, which were the -14 and 4.

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Martin deposits $200 in a savings account that earns 5% annual interest. four years later, cary deposits $200 in an account earn

Scrat [10]

<span>Martin deposits $200 in a savings account that earns 5% annual interest.

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1              200 * 5%                    200(1.05)

2              200(1.05) * 5%          200(1.05)^2

3            200(1.05)^2*5%        200(1.05)^3

y                                              200(1.05)^y

=> m = 200 (1.05)^y

four years later, cary deposits $200 in an account earning the same interest.

</span>
<span><span>year         interest                     balance

5              200 * 5%                    200(1.05)

6              200(1.05) * 5%          200(1.05)^2

7           200(1.05)^2*5%        200(1.05)^3

y                                              200(1.05)^(y-4)

=> c = 200(1.05)^ (y-4)
</span>
Answer:
Martin: 200(1.05)^y
Cary: 200(1.05)^(y–4)</span>

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11111nata11111 [884]

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$an = a1 + d (n-1)
$
Where,
a1: first term of the sequence
d: common difference
n: number of terms
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$d = 22-15 = 15-8 = 7

d = 7$
Then, setting values we have:
$a26 = 8 + 7 * (26-1)

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