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2 years ago

Sa

Mathematics

1 answer:

max2010maxim [7]2 years ago

8 0

Answer:

12.6% is the percent of change.

Step-by-step explanation:

As Expo Milano 2015 was visited by 22.2 million people.

And it is expected that Expo 2020 Dubai will be visited by 25 million people.

25 - 22.2 = 2.8 million people

so dividing the 2.8 by 22.2 would give us the percentage of increase.

2.8/22.2 = 0.126 which is = 12.6%

Therefore, 12,6% is the percent of change.

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If Tanisha has $1000 to invest at 7% per annum compounded semiannually, how long will it be before she has $1600? If the co

Sphinxa [80]

Answer:

Using continuous interest 6.83 years before she has $1600.

Using continuous compounding, 6.71 years.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

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

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit year and t is the time in years for which the money is invested or borrowed.

Continuous compounding:

The amount of money earned after t years in continuous interest is given by:

$P(t) = P(0)e^{rt}$

In which P(0) is the initial investment and r is the interest rate, as a decimal.

If Tanisha has $1000 to invest at 7% per annum compounded semiannually, how long will it be before she has $1600?

We have to find t for which $A(t) = 1600$ when $P = 1000, r = 0.07, n = 2$

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

$1600 = 1000(1 + \frac{0.07}{2})^{2t}$

$(1.035)^{2t} = \frac{1600}{1000}$

$(1.035)^{2t} = 1.6$

$\log{1.035)^{2t}} = \log{1.6}$

$2t\log{1.035} = \log{1.6}$

$t = \frac{\log{1.6}}{2\log{1.035}}$

$t = 6.83$

Using continuous interest 6.83 years before she has $1600

If the compounding is continuous, how long will it be?

We have that $P(0) = 1000, r = 0.07$

Then

$P(t) = P(0)e^{rt}$

$1600 = 1000e^{0.07t}$

$e^{0.07t} = 1.6$

$\ln{e^{0.07t}} = \ln{1.6}$

$0.07t = \ln{1.6}$

$t = \frac{\ln{1.6}}{0.07}$

$t = 6.71$

Using continuous compounding, 6.71 years.

7 0

3 years ago

Provide the missing reasons for the proof of part of the triangle midsegment theorem.

marissa [1.9K]

Answer:

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2 years ago

On a coordinate plane, line A has a negative slope, line b is horizontal, line c is vertical, and line d has a positive slope.

Digiron [165]

Answer:

Line b

Step-by-step explanation:

It cannot be line a or line d because the line will have a constant rate of change. It cannot be line c because line c would be undifined. Therefore, it must be line b.

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3 years ago

Which line is parallel to the line 8x + 2y = 12? ly 4 y ty ry 2

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Answer:

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Step-by-step explanation:

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2 years ago

Please help me thank you and show all work

AleksAgata [21]

Proportional:
82.8 / 92 = 0.9
73.8 / 82 = 0.9
so
FG / 47 = 0.9
FG = 47 * 0.9
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answer

The distance between 2 campsites is 42.3 m.

8 0

2 years ago