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xeze [42]
4 years ago
12

How many terms are in the arithmetic sequence 5, 1, −3, . . . , −111?

Mathematics
1 answer:
Ira Lisetskai [31]4 years ago
8 0
First term (a) = 5, common difference (d) = 1 - 5 = -4, last term (l) = -111

l = a + (n - 1)d
-111 = 5 + (n - 1) x -4 = 5 - 4n + 4 = 9 - 4n
4n = 9 + 111 = 120
n = 120/4 = 30

Therefore, there are 30 terms.
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shusha [124]

Answer

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4 0
2 years ago
Mrs. Emily Francis saves RM10 000 in a bank . by the end of the eighth year , the money collected amounts to RM19 992.71.if the
Anna11 [10]

Answer:

8.85% per year

Step-by-step explanation:

To find the interest rate of a compounding interest, we use the formula:

r=n[(\dfrac{A}{P})^{\dfrac{1}{nt}}-1]

Before we start solving, let's break down all the variables that we have.

A = 19,992.71

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n = 2

t = 8

r = ?

Now let's put the values into the formula.

r=2[(\dfrac{19,992.71}{10,000.00})^{\dfrac{1}{2(8)}}-1]

r=2[(\dfrac{19,992.71}{10,000.00})^{\dfrac{1}{16}}-1]

r=2[(\dfrac{19,992.71}{10,000.00})^{0.0625}-1]

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5 0
4 years ago
Anyone want to help with this problem
emmasim [6.3K]

Answer:

$2643.06

Step-by-step explanation:

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= $2436 + (0.085 * 2436)

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3 years ago
It cost David $16.75 to fill his 5-gallon gas can.
katen-ka-za [31]

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Step-by-step explanation:

For every 1 gallon hes using 3.35

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6 0
3 years ago
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