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Viktor [21]
3 years ago
13

Divid 15 into two parts such that the sum of their reciprocal is 3/10

Mathematics
1 answer:
emmasim [6.3K]3 years ago
4 0
Let x and y be the 2 parts of 15 ==> x + y=15 (given)

Reciprocal of x and y ==> 1/x +1/y ==> 1/x + 1/y = 3/10 (given)


Let's solve  1/x + 1/y = 3/10 . Common denominator = 10.x.y (reduce to same denominator)

 ==> (10y+10x)/10xy = 3xy/10xy ==> 10x+10y =3xy

But x+y = 15 , then 10x+10y =150 ==> 150=3xy and xy = 50

Now we have the sum S of the 2 parts that is S = 15 and 
their Product = xy =50
Let's use the quadratic equation for S and P==> X² -SX +P =0
Or X² - 15X + 50=0, Solve for X & you will find:
The 1st part of 15 is 10 & the 2nd part is 5
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You put $200 into an account earning 6% interest compounded yearly.
VMariaS [17]

Answer:

43.35 years

Step-by-step explanation:

From the above question, we are to find Time t for compound interest

The formula is given as :

t = ln(A/P) / n[ln(1 + r/n)]

A = $2500

P = Principal = $200

R = 6%

n = Compounding frequency = 1

First, convert R as a percent to r as a decimal

r = R/100

r = 6/100

r = 0.06 per year,

Then, solve the equation for t

t = ln(A/P) / n[ln(1 + r/n)]

t = ln(2,500.00/200.00) / ( 1 × [ln(1 + 0.06/1)] )

t = ln(2,500.00/200.00) / ( 1 × [ln(1 + 0.06)] )

t = 43.346 years

Approximately = 43.35 years

7 0
3 years ago
What is 36% of 745? Show work
kogti [31]
745/x=100/36
<span>(745/x)*x=(100/36)*x
</span><span>745=2.7777777777778*x
</span>(2.7777777777778) to get x
<span>745/2.7777777777778=x </span>
<span>268.2=x </span>
<span>x=268.2
</span>
answer <span>36% of 745=268.2</span>
8 0
3 years ago
You can run 3­ 3/5 miles in 40 minutes. <br><br> What is your unit rate?
fiasKO [112]
Unit rate is how many units of work can you do in 1 unit of time

3 and 3/5=3+3/5=15/5+3/5=18/5

(18/5mi)/40mins
divide by 40
aka times 1/40
(18/5)(1/40)=18/200=9/100=0.9/10=0.09/1
0.09 miles per minute
3 0
3 years ago
Tell me the answers please!
il63 [147K]
18 is D and 19 is C you're welcome
4 0
4 years ago
The two dimensional net of a rectangular prism is shown at the left. What is the prisms surface area? (Someone please answer I’m
mart [117]

Answer:

28 square units

Step-by-step explanation:

I got it wrong on edge and it told me the right answer was 28 square units!

7 0
3 years ago
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