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3 years ago

98654 in extended form

Mathematics

2 answers:

vredina [299]3 years ago

8 0

90,000+8,000+600+50+4

Harrizon [31]3 years ago

7 0

90,000 + 8,000 + 600 + 50+ 4 = 98,654 Hope this helps! PLZ mark brainliest!

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Investigate the difference between compounding annually and simple interest

Gennadij [26K]

Step-by-step explanation:

Simple interest formula

$A = P (1 + rt)$

Compound interest formula

$A = P(1 + \frac{r}{n})^{nt}$

$A = 5000 (1 + 0.025*1)\\A=5000(1.025)\\A=5125$

Simple interest is $125

. $A = 5000 (1 + \frac{0.025}{1})^{1*1} \\A=5000(1.025)\\A= 5125$

Compound interest is $125

c. the result for both a and b are the same

$A = 5000 (1 + 0.025*3) \\A=5000(1.075) \\A=5375$

the simple interest is $375

. $A = 5000 (1 + \frac{0.025}{1})^{1*3}] \\A=5000(1.025)^3 \\A=5000(1.077)\\A= 5385$

the compound interest is $385

f. the result compared, compound interest is $10 more than simple interest

$A = 5000 (1 + 0.02*6) \\A=5000(1.12) \\A=5600$

the simple interest is $600

$A = 5000 (1 + \frac{0.02}{1})^{1*6}] \\A=5000(1.12)^6 \\A=5000(1.9738) \\A= 9869$

the compound interest is $4869

i. the result from g and h, h is over 8 times bigger than g.

j. interest compound annually is not the same as simple interest, only for the case of a and b seeing that it is for 1 year. but for 2years and above there is difference as seen in c to h

6 0

3 years ago

What is -3+5+6g=11-3g solve for g

vitfil [10]

Answer: g = 1

Step-by-step explanation:

-3 + 5 + 6g = 11 - 3g

First, we need to combine like terms

-3 + 5 = 2

2 + 6g = 11 - 3g

Add 3g to each side

2 + 9g = 11

Subtract 2 from each side

9g = 9

Divide each side by 1

g = 1

8 0

3 years ago

Read 2 more answers

if you had 75 bars of chocolate but you gave 60 away, what is the percentage of thw amount you gave away?

mars1129 [50]

Total chocolate bars: 75
Chocolate bars given away: 60

60/75 = 0.8 or 80%

7 0

3 years ago

How many liter of 15% weed killer mixture must be added to 5 liters of 10% weedkiller mixture to make 12% weed killer mixture?

finlep [7]

Answer: 3 1/3 liter

Brainliest? <3

let x equal the number of liters of 15% weedkiller.

your equation is .15 * x + .10 * 5 = .12 * (x + 5)

simplify to get .15 * x + .10 * 5 = .12 * x + .12 * 5

simplify further to get .15 * x + .5 = .12 * x + .6

subtract .12 * x from both sides and subtract .5 from both sides and simplify to get .03 * x = .1

divide both sides by .03 to get x = .1 / .03 = 3.333333333 rounded to 9 decimal digits.

you would need 3.333333333 liters of 15% solution to be added to 5 liters of 10% solution to get 8.333333333 liters of 12% solution.

.15 * 3.333333333 = .5

.10 * 5 = .5

.5 + .5 = 1

5 + 3.333333333 = 8.333333333

1 divided by 8.333333333 = .12 which is equal to 12%.

4 0

3 years ago

Solve y′′=sin(x) if y(0)=0 and y′(0)=5.<br><br> y(x)=?

Ksenya-84 [330]

Answer:

$y(x)=6x-sin(x)$

Step-by-step explanation:

Rewrite the differential equation as:

$\frac{d^{2} y }{dx^{2} } =sin(x)$

Integrate both sides with respect to x:

$\int\ \frac{d^{2} y }{dx^{2} } dx = \int\ sin(x) dx$

$\frac{dy}{dx} =-cos(x)+C_1$

Integrate one more time both sides with respect to x:

$\int\ \frac{dy}{dx} = \int\ -cos(x)+C_1 dx$

$y(x)=-sin(x)+C_1x+C_2$

Now that we find the solution, let's find its derivate:

$y'(x)=C_1-cos(x)$

Evaluating the initial conditions:

$y(0)=C_1(0)+C_2-sin(0)=0\\C_2=0$

$y'(0)=C_1-cos(0)=5\\C_1=5+1=6$

Replacing the value of the constants that we found in the differential equation solution:

$y(x)=6x-sin(x)$

6 0

3 years ago