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kramer
3 years ago
12

2. Solve for x: -6=-(x - 5) – 3(5 + 2x) – 4(2x - 4)

Mathematics
1 answer:
tatyana61 [14]3 years ago
8 0

Answer:

Step-by-step explanation:

-6=-(x - 5) – 3(5 + 2x) – 4(2x - 4)

- 6 = -x + 5 - 15 - 6x - 8x + 16

-6 = -15x + 6

15x = 6+6

15x = 12

x = 12/15

x = 4/5

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Answer:

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Step-by-step explanation:

<u />

<u>Compound Interest Formula</u>

\large \text{$ \sf A=P(1+\frac{r}{n})^{nt} $}

where:

  • A = final amount
  • P = principal amount
  • r = interest rate (in decimal form)
  • n = number of times interest applied per time period
  • t = number of time periods elapsed

Given:

  • A = $17,474.00
  • P = $7,790.00
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  • n = 12
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Substitute the given values into the formula and solve for t:

\implies \sf 17474=7790\left(1+\dfrac{0.15}{12}\right)^{12t}

\implies \sf \dfrac{17474}{7790}=\left(1.0125}\right)^{12t}

\implies \sf \ln\left(\dfrac{17474}{7790}\right)=\ln \left(1.0125}\right)^{12t}

\implies \sf \ln\left(\dfrac{17474}{7790}\right)=12t \ln \left(1.0125}\right)

\implies \sf t=\dfrac{\ln\left(\frac{17474}{7790}\right)}{12 \ln \left(1.0125}\right)}

\implies \sf t=5.419413037...\:years

Therefore, the money was in the account for 5 years and 5 months (to the nearest month).

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Step-by-step explanation:

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