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Lemur [1.5K]
3 years ago
15

Determine the 22nd term in the following arithmetic sequence: 3, 7, 11, 15...

Mathematics
2 answers:
Lyrx [107]3 years ago
5 0

Answer:

87

Step-by-step explanation:

a+(n-1)d where a is the first term n is the value of term and d the common difference

3+(22-1)4

=87

Elden [556K]3 years ago
3 0

Answer:

87

Step-by-step explanation:

4n-1

4(22)-1

88-1=87

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Express 8 1/5% as a mixed number or a fraction
Alexxandr [17]

Answer:

41/5

Step-by-step explanation:

First we change the 8 and 1/5% to 8.2%

Write the fraction down as a number over one = 8.2/1

Multiply both top and bottom by 10 for every number after the decimal point:

As we have 1 numbers after the decimal point, we multiply both numerator and denominator by 10. So,

8.2/1 = (8.2 × 10)

(1 × 10) = 82/10

Reduce the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD (82,10) = 2. So, (82÷2)/(10÷2) = 41/5 when reduced to the simplest form.

As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 82/10 is also equal to 81/5 when expressed as a mixed number.

7 0
3 years ago
Anne is comparing savings accounts. One account has an interest rate of 1.2 percent compounded yearly, and one account has an in
Varvara68 [4.7K]
In short and without much fuss

let's say Anne puts "x" amount in the account at 1.2% rate annually, that means after 1 year, she will have "x" + 1.2% of "x", or 1.012x to be exact.

the 1.2% rate, kicks in as the period of a year is met.

now, what if Anne puts it in the monthly compounded type?  that means, the compounding period is a month, so after 1 month, she has 1.2% extra, or 1.012x, and after 2 months, she will have 1.2% extra of 1.012x, or 1.012144x, and after 3 months, she will have 1.2% extra of 1.0121x, or 1.012145728x and so on.

anyhow, the shorter the compounding period, the more the 1.2% kicks in, the more accumulation in the account.
5 0
3 years ago
I really need help with number 1
Sedaia [141]
3/4 / 2/1
Keep, Change, Flip
3/4 * 1/2 = 3/8

5/4 / 2/1
Keep, Change, Flip

5/4 * 1/2 = 5/8

Answer: 3/8 and 5/8
6 0
3 years ago
4(2x+3)=x(3+5)+12<br> Help
Karo-lina-s [1.5K]

Answer:

Step-by-step explanation:

8x + 12 = 3x + 5x + 12

8x + 12 = 8x + 12

Bringing like terms on one side

8x - 8x = 12 - 12

x = 0

7 0
3 years ago
Read 2 more answers
Find the solution for 2-x/3=5
PtichkaEL [24]

Answer:

7

Step-by-step explanation:

6 0
3 years ago
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