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natta225 [31]
4 years ago
8

Find a26 in the arithmetic sequence: -15, -35, -55, -75

Mathematics
1 answer:
MrRissso [65]4 years ago
4 0

Answer: x=−5

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−4−7x=31

−4+−7x=31

−7x−4=31

Step 2: Add 4 to both sides.

−7x−4+4=31+4

−7x=35

Step 3: Divide both sides by -7.

−7x

−7

=

35

−7

x=−5

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algol [13]

Answer:

Matthew's money will double fastest in 6 years.

Step-by-step explanation:

<u><em>The complete question is</em></u>

Answer the question for each scenario<u><em> by applying the rule of 72</em></u>. How many years will it take each situation to double its money? Situation A: Matthew invests $5,000 in an account with a compound interest rate of 12%. Situation B: Morgan invests $2,500 in an account with a compound interest rate of 8%. Situation C: Maysen invests $10,000 in an account with a compound interest rate of 4.5%. Whose money will double fastest?

we know that

The <u><em>Rule of 72</em></u> is a simple way to determine how long an investment will take to double given a fixed annual rate of interest. By dividing 72 by the annual rate of return.

so

Situation A: Matthew invests $5,000 in an account with a compound interest rate of 12%

\frac{72}{12}=6\ years

Situation B: Morgan invests $2,500 in an account with a compound interest rate of 8%.

\frac{72}{8}=9\ years

Situation C: Maysen invests $10,000 in an account with a compound interest rate of 4.5%

\frac{72}{4.5}=16\ years

therefore

Matthew's money will double fastest in 6 years.

7 0
3 years ago
What is the sum of the arithmetic series of odd numbers below 1+3+5+...+27
AnnZ [28]

Answer:

196

Step-by-step explanation:

1+2+3+4+......+25+26+27 = (1+27) + (3+25) + (5+23)+(7+21) + (9+19) + (11+17) + (13+15)

= 28 x 7 = 196

It's like area of trapezoid of bases: 1, 27 and height of 14

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Answer:

Step-by-step explanation:

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Step-by-step explanation:

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Answer:

c

Step-by-step explanation:

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