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2 years ago

Write a inequality for the graph below

Mathematics

1 answer:

max2010maxim [7]2 years ago

7 0

Answer:

X ≥ -6

Step-by-step explanation:

since the arrow is pointing towards the right side i.e tending towards x

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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

3/5 of Jill's 30-page photo album is full. She wants to set aside 1/4 of the pages that are left for photos of her vacation. How

Mumz [18]

3/5 of the album is full....leaving 2/5 pages that are not full. 2/5(30) = 60/5 = 12 pgs not full (12 remaining pages)
she wants to set aside 1/4 of the remaining pages...
1/4 of 12 = 1/4(12) = 12/4 = 3 pgs set aside for vacation

12 - 3 = 9 pgs...she can fill 9 pgs before the vacation

3 0

3 years ago

Read 2 more answers

Choose the correct answer 1 1/12 - 7/10 greater than half or less than half

CaHeK987 [17]

Answer:

less than half

Step-by-step explanation:

13/12 - 7/10 = 23/60

5 0

3 years ago

During a winter storm, the amount of snowfall was recorded in 555 different locations. All measurements have been rounded to the

Yuri [45]

Answer:

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2 years ago

Miguel's family drinks 3 gallons of milk

Luden [163]

D because ugh I don’t feel like explaining

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3 years ago