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matrenka [14]
3 years ago
14

3x+4y=-16 and 5x+5y=-5

Mathematics
1 answer:
GuDViN [60]3 years ago
3 0

Answer:

y=-13,\:x=12

Step-by-step explanation:

\begin{bmatrix}3x+4y=-16\\ 5x+5y=-5\end{bmatrix}\\\\\begin{bmatrix}5\cdot \frac{-16-4y}{3}+5y=-5\end{bmatrix}\\\\

-\frac{80}{3}-\frac{5y}{3}=-5\\y=-13\\\\x=\frac{-16-4\left(-13\right)}{3}\\x=12

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55) A shirt that usually costs $30 is on sale for $20. Find the percent of<br> the discount.
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Find the amount of the discount and divide by the original price:

30-20 = 10

10/30 = 0. 333

Multiply by 100 for percent:

0.333 x 100 = 33.3333%

Round the answer as needed.

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What are the measurements for angles 1-7?
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3 years ago
Please get it right, i done this so many times now, i'm running out of points
myrzilka [38]

Answer:

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3 years ago
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Suppose that $4000 is placed in a savings account at an annual rate of 6.4%, compounded quarterly. Assuming that no withdrawals
s2008m [1.1K]

Answer:

3.25 years (nearest hundredth)

Step-by-step explanation:

<u>Compound Interest Formula</u>

\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{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 = $4916
  • P = $4000
  • r = 6.4% = 0.064
  • n = 4 (quarterly)

Substitute the given values into the formula and solve for t:

\implies \sf 4916=4000\left(1+\frac{0.064}{4}\right)^{4t}

\implies \sf 4916=4000\left(1.016\right)^{4t}

\implies \sf \dfrac{4916}{4000}=\left(1.016\right)^{4t}

\implies \sf \dfrac{1229}{1000}=\left(1.016\right)^{4t}

\implies \sf \ln \left(\dfrac{1229}{1000}\right)=\ln \left(1.016\right)^{4t}

\implies \sf \ln \left(\dfrac{1229}{1000}\right)=4t \ln \left(1.016\right)

\implies \sf t=\dfrac{\ln \left(\frac{1229}{1000}\right)}{4\ln \left(1.016\right)}

\implies \sf t=3.247594892...

Therefore, it will take 3.25 years (nearest hundredth) for the account to grow to $4916.

Learn more about compound interest here:

brainly.com/question/27747709

brainly.com/question/27806277

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