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g100num [7]
3 years ago
7

Can anyone help me on this one? Thank you in advance!

Mathematics
1 answer:
vampirchik [111]3 years ago
7 0

\bf \cfrac{4}{2(x-3)}=\cfrac{5}{3(14-x)}\implies \stackrel{\textit{distributing in the denominators}}{\cfrac{4}{2x-6}=\cfrac{5}{42-3x}} \\\\\\ 4(42-3x)=5(2x-6)\implies \stackrel{\textit{distributing again}}{168-12x=10x-30}\implies 198=22x \\\\\\ \cfrac{198}{22}=x\implies \boxed{9=x}

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F Tanisha has ​$ 1,000 to invest at 5 % per annum compounded ​, how long will it be before she has ​$1,400 ​? If the compounding
vladimir2022 [97]

With annual compounding, the number of years for 1000 to become 1400 is 6.7 years

With continous compounding, the number of years for 1000 to become 1400 is 1.35 years

<h3>How long would it take $1000 to become $1,400?</h3>

With annual compounding, the formula that would be used is:

(In FV / PV) / r

Where:

  • FV = future value
  • PV = present value
  • r = interest rate

(In 1400 / 1000) / 0.05 = 6.7 years

With continous compounding, the formula that would be used is:

(In 1400 / 1000) / (In e^r)

Where r = interest rate

((In 1400 / 1000) / (In e^0.05) = 1.35 years

To learn more about how to determine the number of years, please check: : brainly.com/question/21841217

#SPJ1

5 0
2 years ago
Which is not Equivalent to 3:5 <br> A.30:50<br> B.21:28<br> C:15:28<br> D.9:15
kirza4 [7]

Answer:

B.

Step-by-step explanation:

Since 21 is divided by 3 you might think that it is equivalent but remeber you have to divide by both sides, so if you divide 21 by 7 it works but 28 by seven does not! Hope this helps!

3 0
3 years ago
How do I get the answer for N x 4/5 = 3/4
agasfer [191]
<span><span>n<span>x4/</span></span>5</span>=<span>3/<span>4

</span></span><span><span><span><span>1/5</span><span>n<span>x^4</span></span></span><span><span>x^4/</span>5</span></span>=<span><span>3/4</span><span><span>x^4/</span>5</span></span></span><span>
Answer is n=
<span>15/<span>4<span>x<span>4</span></span></span></span></span>
8 0
3 years ago
A coat at a store is originally priced at $54.99. The store marks the price down to $32.99. To the nearest percent, what is the
Dmitry_Shevchenko [17]

Answer:

66.6%

Step-by-step explanation:

Step one

given

A coat at a store is originally priced at $54.99

The store marks down the price down to $32.99

Required

the percent decrease

Step two:

the percent decrease= change in price/ old price*100

the percent decrease= 54.99-32.99/54.99*100

the percent decrease= 22/ 32.99*100

the percent decrease= 0.666*100

the percent decrease= 66.6%

6 0
3 years ago
Two lengths are in the ratio 2:5. The second length is 75 cm. Find the first length.​
vichka [17]

Answer:

30 cm

Step-by-step explanation:

2 * 15: 5 * 15

    30:75

7 0
3 years ago
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