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3 years ago

13

Maria invests $6,500 in a savings account that earns 3% interest compounded continuously. What will the balance in her account b

e after 12 years?

1 answer:

siniylev [52]3 years ago

5 0

Answer:

After 12 years, Maria will have 6500 x (1 + 3/100)^12 =9267.44$ in her account.

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What is the quotient of 99 divided by 9081

Artist 52 [7]

Hello from MrBillDoesMath!

Answer:

11/ 1009 (.0109 approximately)

Discussion:

99/9081 = => as 9081 = 9 * 1009 = 3 * 3 * 1009

99/ ( 3 * 3 * 1009) =

(99/(3*3)) * (1/1009) =

(99/9) * (1/1009) =

11/ 1009 =

.0109 approximately

Thank you,

MrB

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4 years ago

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A 15% discount saves you $5 off the price of an electronic game. How much do you save off the regular price if the discount is w

chubhunter [2.5K]

Answer:

The 45% off discount saves an additional $10 compared to the 15% discount for a total of $15 off regular price.

Step-by-step explanation:

We can find the original price of the game through a proportion. A proportion is an equation where two ratios or fractions are equal. The ratios or fractions compare like quantities. For example, we will compare percent over percent to an equal ratio of $ to $. Since 15% of 100% is the same ratio as $5 to the unknown original $ price, I write:

$\frac{15}{100} =\frac{5}{y}$

I can now cross-multiply by multiplying numerator and denominator from each ratio.

$15y=100(5)\\15y=500$

I now solve for y by dividing by 15.

$\frac{15y}{15} =\frac{500}{15} \\y= 33.33333....$

The original price was $33.34.

Now, we can find the amount if 45% off and then then compare the two discounts. To find the percent off I can multiply by 0.45(33.34)=15. The 45% off discount saves an additional $10 compared to the 15% discount.

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3 years ago

A house costs 36% more today than when it was built.If the cost of the house today is $333,200, find the cost when it was built.

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Answer:

$245,000

Step-by-step explanation:

Let the intial cost = x

$100\% + 36\% = 136\% = 1.36$

$1.36x = 333200$

$x = \frac{333200}{1.36}$

$x = 245000$

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2 years ago

The projected world population (in billions of people) t years after

MA_775_DIABLO [31]

Answer:

y = 5 e^r * t

Let y be the population in billions and t the value of elapsed years

7 = 5 e^r * t is the equation being used where t = 15

7/5 = e^r * t

ln 7/5 = r * t taking ln of both sides

r = .336 / 15 = .0224

y = 5 e^(.0224 t) is then our equation

Check - suppose you want y at 2020

y = 5 e^(.0224 * 20) would be the equation

y = 5 e^.449 = 7.83 billion - seems to be a reasonable answer

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