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attashe74 [19]
3 years ago
15

Find the coordinates of midpoint D. (a + bc) (-a-b,c) (2a-2b, -c) (-2a-2b, c)

Mathematics
1 answer:
schepotkina [342]3 years ago
3 0

Answer:

(-a-b,c)

Step-by-step explanation:

midpoint D : ((-2b-2a)/2 ;(2c+0) /2 )

(-2b-2a)/2 = 2(-b -a)/2 = -b-a

(2c+0) /2 =2c/2 = c

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Jacinta borrowed sh. 100,000 from her cooperative society. She pays 1% interest of the outstanding balance every month. If she p
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The amount of money that Jacinta pays to service the whole loan as interest is <u>sh. 5,899</u>.

<h3>What is interest?</h3>

Interest is the finance charge that a borrowers incurs to service a loan.

Interest is based on the outstanding balance at the end of the payment period.

<h3>Data and Calculations:</h3>

Principal loan = sh. 100,000

Interest on outstanding balance = 1%

Monthly payment of principal and interest = sh. 10,000

Period of repayment = Monthly

<h3>Amortization Schedule:</h3>

                      Beginning     Interest   Payment   Ending Balance

1st month    sh. 100,000    sh. 1,000    sh. 10,000    sh. 91,000

2nd month    sh. 91,000       sh. 910    sh. 10,000     sh. 81,910

3rd month      sh. 81,910        sh.819    sh. 10,000    sh. 72,729

4th month    sh. 72,729       sh. 727    sh. 10,000    sh. 63,456

5th month   sh. 63,456       sh. 636    sh. 10,000    sh. 54,092

6th month   sh. 54,092       sh. 541     sh. 10,000    sh. 44,633

7th month   sh. 44,633       sh. 446    sh. 10,000    sh. 35,079

8th month  sh. 35,079        sh. 351     sh. 10,000    sh. 25,430

9th month  sh. 25,430       sh. 254     sh. 10,000    sh. 15,684

10th month sh. 15,684        sh. 157     sh. 10,000      sh. 5,841

11th month    sh. 5,841         sh. 58      sh. 5,899       sh. 0

Total interest paid =       sh. 5,899

Thus, based on the payment schedule above, the amount of money that Jacinta pays to service the whole loan as interest is <u>sh. 5,899</u>.

Learn more about loan interests at brainly.com/question/24576997

#SPJ1

8 0
2 years ago
Ice cream store marks up price by 16% how much of original price was 1.25
kirill115 [55]

Answer:

0.128

Step-by-step explanation:

7 0
3 years ago
Someone please help me with this !!!
a_sh-v [17]

Answer:

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6 0
2 years ago
Write this as a power of 2. ex ( 2^n) requires knowledge of negative exponents
Snowcat [4.5K]

Answer:

<h3>22.627417</h3>

Step-by-step explanation:

\frac{32}{ \sqrt[8]{16} }  \\

Simplify

\frac{32}{1.414213562}  \\   \\ = 22.627417

Method 2 :

By rationalizing the denominator

7 0
2 years ago
Fiona invested $1000 at 7% compounded continuously. At the same time, Maria invested $1100 at 7% compounded daily. How long will
Natali [406]

9514 1404 393

Answer:

  14,201 years

Step-by-step explanation:

The two compound interest formulas are ...

  A = P·e^(rt) . . . . . continuous compounding at rate r for t years

  A = P·(1 +r/365)^(365t) . . . . . daily compounding at rate r for t years

We went the amounts to be equal:

  1000·e^(0.07t) = 1100·(1+0.07/365)^(365t)

Dividing by 1000(1 +0.07/365)^(365t), we have ...

  ((e^0.07)/(1+0.07/365)^365)^t = 1.1

The base of the exponential on the left is ...

 ( e^0.07)/(1+0.07/365)^365 ≈ 1.00000671149321522

Taking logs, we have ...

  t×ln(1.00000671149321522) = ln(1.1)

  t = ln(1.1)/ln(1.00000671149321522) ≈ 0.09531018/(6.7114704·10^-6)

  t ≈ 14,201.09 . . . . . years

It will take about 14,201 years for the investments to be equal.

_____

<em>Additional comment</em>

The investment value at that time will be about $5.269·10^434. (That's a larger number than <em>anything</em> countable in the known universe, including energy quanta.)

These calculations are beyond the ability of many calculators, so might need to be carefully rewritten if the calculator only keeps 10 significant digits, or only manages exponents less than 100.

This shows that daily compounding is very close in effect to continuous compounding. It would take almost 150 years to make a difference of 0.1% in value.

4 0
3 years ago
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