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Sergeeva-Olga [200]
3 years ago
6

-4x .- 9y = 1 -x + 2y = -4

Mathematics
1 answer:
sveta [45]3 years ago
5 0

Answer: The answer for the first one is x=1/36y and the second one is

y=1/2x-2

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Juli went mining and found a large metal bar that weighed 20 kilos. After doing some analysis of the
masha68 [24]

Answer:

8 kilos of it is gold, since 2/5 in decimal form is 0.40

12 kilos of it is copper.

Step-by-step explanation:

Multiply 20 times 0.40, you get 8, so 8 kilos of it is gold, while 12 kilos is copper.

T^T

8 0
3 years ago
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

8 0
2 years ago
Simplify the rational expression: <br> 4a²-36/24-8a<br><br> (__/2)
Pavlova-9 [17]

Answer:

  • - (a + 3) / 2

Step-by-step explanation:

  • (4a² - 36)/(24 - 8a) =
  • 4( a² - 9) /8(3 - a) =
  • ( a² - 9) /2(3 - a) =
  • (a + 3)(a - 3)/2(3 - a) =
  • - (a + 3) (3 - a)/2(3 - a) =
  • - (a + 3) / 2
3 0
3 years ago
How do I Evaluate [(30 + 6) − 32] ÷ 9 ⋅ 2?
djverab [1.8K]

Use PEMDAS:

P Parentheses first

E Exponents (ie Powers and Square Roots, etc.)

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right)

[(30 + 6) - 32] : 9 · 2 = (36 - 32) : 9 · 2 = 4 : 9 · 2 = 4/9 · 2 = 8/9

4 0
4 years ago
What is the perimeter of a square with a side length of 7 cm?
Svetach [21]

Answer:

D. 28 cm

Step-by-step explanation:

P=4s

P=4(7)

P=28

8 0
2 years ago
Read 2 more answers
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