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VARVARA [1.3K]
3 years ago
5

What conversion factor you can use to convert gallons to pints

Mathematics
1 answer:
guajiro [1.7K]3 years ago
4 0
1 gallon is equivalent to 8 pints
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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
Ms. Ruiz bought 12 packages of plates for the party. Each package contains 15 plates. She bought 10 packages of small plates and
RideAnS [48]

Answer:

a)  150 plates

b)  30 plates

c)  180 plates

Step-by-step explanation:

Given that:

She bought twelve (12) packages of plates for the party in which each package contains 15 plates.

Out of the 12 packages;

10packages are small plates & 2 packages are large plates.

a) The number of small plates she bought = 10 × 15 = 150 plates

b) The number of large plates she bought = 2 × 15 = 30 plates

c) The total number of plates she bought all together is:

= number of small plates bought + = number of large plates bought

= (150 +30) plates

The total number of plates she bought all together = 180 plates

7 0
3 years ago
Of great importance to residents of central Florida is the amount of radioactive material present in the soul of reclaimed phosp
alukav5142 [94]

Answer:

See figure attached and explanation below.

Step-by-step explanation:

For this case we have the following dataset given:

0.74, 0.32, 1.66, 3.59, 4.55, 6.47, 9.99, 0.7, 0.37, 0.76, 1.9, 1.77, 2.42, 1.09, 2.03, 2.69,2.41, 0.54, 8.32, 5.70, 0.75, 1.96, 3.36, 4.06, 12.48

And for this case we can use the followinf R code to create the frequency histogram.

> x<-c(0.74, 0.32, 1.66, 3.59, 4.55, 6.47, 9.99,0.7, 0.37, 0.76, 1.9, 1.77, 2.42, 1.09, 2.03, 2.69,2.41, 0.54, 8.32, 5.70, 0.75, 1.96, 3.36, 4.06,12.48)

> length(x)

[1] 25

> hist(x, prob=TRUE)

And for this case we have the histogram on the figure attached. For the number of classes we use the formula of sturges:

k = 1 +3.322 log (n)= 1+3.3 log(25)= 5.61

And for this case we have approximately 6 classes. And that's what we can see on the figure attached

As we can see most of the values are on the left so then we have a right skewed to the right and the distribution is assymetrical, with most of the values between 0 and 6

4 0
4 years ago
Your height can be represented by a function h , where the input is your age.
zaharov [31]
<span>h(14) represents a function of a person's height at age 14. 14 is the input, indicating age, and the function of h(14) will give you that person's height.</span>
4 0
3 years ago
What is the value of x ?!
meriva
The answer for x would be 8
7 0
3 years ago
Read 2 more answers
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