Ask question

Ask question

All categories

schepotkina [342]

3 years ago

14

Solve for i in the following equation by means of linear interpolation(1 + i)10 – 1= 25

1 answer:

docker41 [41]3 years ago

4 0

Answer:

$i=1.6$

Step-by-step explanation:

The given equation is

$(1+i)10-1=25$

To solve for $i$ , first, we need to sum 1 unit to each side of the equation.

$(1+i)10-1+1=25+1\\(1+i)10=26$

Then, we divide the equation by 10

$\frac{(1+i)10}{10} =\frac{26}{10} \\1+i=2.6$

Finally, we subtract each side with -1

$1+i-1=2.6-1\\i=1.6$

Therefore, the solution to the given equation is $i=1.6$

You might be interested in

Exact value: 9mm<br> approx value: 11mm

defon

Answer:

Your quality and RELIABLE 9mm pistol will typically run you $450–800 new with the large majority falling in the $500–600 range. Guns below that generally aren't worth purchasing outside of fun times. Guns above that generally have “extra” features that drive up the cost.

Step-by-step explanation:

8 0

2 years ago

Solve the following equation or inequality for the unknown variable. Round answer to two decimal places if necessary.

Sonbull [250]

Answer:

x = 2.7

Step-by-step explanation:

The given equation is :

$(3x)^2-10=56$

We need to solve it for x.

It can be rewrite as follows:

$9x^2-10=56$

Adding 10 to both sides,

$9x^2-10+10=56+10\\\\9x^2=66\\\\x=\sqrt{\dfrac{66}{9}}\\\\x=2.70$

So, the value of x is equal to 2.7.

3 0

3 years ago

12a = 4 what is a HELP ME PLZ

lisabon 2012 [21]

Answer: 3

3x4 is 12

Hope this helps!

4 0

3 years ago

Read 2 more answers

Drag the tiles to the correct boxes to complete the pairs.

Mashcka [7]

Answer:

Part 1) $-17\frac{8}{9}$ -----> $-6\frac{4}{9}-3\frac{2}{9}-8\frac{2}{9}$

Part 2) $-15.11$ ------> $-12.48-(-2.99)-5.62$

Part 3) $-19\frac{8}{9}$ -----> $-19\frac{2}{9}-4\frac{1}{9}-(-3\frac{4}{9})$

Part 4) $-201.65$ -----> $-353.92-(-283.56)-131.29$

Part 5) $74$ ------> $83\frac{1}{5}-108\frac{2}{5}-(-99\frac{1}{5})$

Step-by-step explanation:

Part 1) we have

$-6\frac{4}{9}-3\frac{2}{9}-8\frac{2}{9}$

To calculate the subtraction convert the mixed numbers to an improper fractions

$6\frac{4}{9}=\frac{6*9+4}{9}=\frac{58}{9}$

$3\frac{2}{9}=\frac{3*9+2}{9}=\frac{29}{9}$

$8\frac{2}{9}=\frac{8*9+2}{9}=\frac{74}{9}$

substitute

$-\frac{58}{9}-\frac{29}{9}-\frac{74}{9}=-\frac{(58+29+74)}{9}=-\frac{161}{9}$

Convert to mixed number

$-\frac{161}{9}=-(\frac{153}{9}+\frac{8}{9})=-17\frac{8}{9}$

Part 2) we have

$-12.48-(-2.99)-5.62$

To calculate the subtraction eliminate the parenthesis first

$-12.48-(-2.99)-5.62=-12.48+2.99-5.62=-15.11$

Part 3) we have

$-19\frac{2}{9}-4\frac{1}{9}-(-3\frac{4}{9})$

To calculate the subtraction convert the mixed numbers to an improper fractions

$19\frac{2}{9}=\frac{19*9+2}{9}=\frac{173}{9}$

$4\frac{1}{9}=\frac{4*9+1}{9}=\frac{37}{9}$

$3\frac{4}{9}=\frac{3*9+4}{9}=\frac{31}{9}$

substitute

$-\frac{173}{9}-\frac{37}{9}-(-\frac{31}{9})$

Eliminate the parenthesis

$-\frac{173}{9}-\frac{37}{9}+\frac{31}{9}=\frac{(-173-37+31)}{9}=-\frac{179}{9}$

Convert to mixed number

$-\frac{179}{9}=-(\frac{171}{9}+\frac{8}{9})=-19\frac{8}{9}$

Part 4) we have

$-353.92-(-283.56)-131.29$

To calculate the subtraction eliminate the parenthesis first

$-353.92+283.56-131.29=-201.65$

Part 5) we have

$83\frac{1}{5}-108\frac{2}{5}-(-99\frac{1}{5})$

To calculate the subtraction convert the mixed numbers to an improper fractions

$83\frac{1}{5}=\frac{83*5+1}{5}=\frac{416}{5}$

$108\frac{2}{5}=\frac{108*5+2}{5}=\frac{542}{5}$

$99\frac{1}{5}=\frac{99*5+1}{5}=\frac{496}{5}$

substitute

$\frac{416}{5}-\frac{542}{5}-(-\frac{496}{5})$

Eliminate the parenthesis

$\frac{416}{5}-\frac{542}{5}+\frac{496}{5}=\frac{(416-542+496)}{5}=\frac{370}{5}=74$

3 0

3 years ago

(x + 5) + (x² − 6x + 20)

ratelena [41]

Answer:

x^3-6x^2-10x+100

Step-by-step explanation:

Step 1: Distribute x to (x²-6x+20).

x(x²-6x+20)=x^3-6x^2+20x

Step 2: Distribute 5 to (x²-6x+20).

5(x² − 6x + 20)=5x²-30x+100

Step 3: Combine x^3-6x^2+20x and 5x²-30x+100.

x^3-6x^2-10x+100

hope it helps you <3

8 0

3 years ago