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anastassius [24]

3 years ago

10

On which number line do the letters represent −5 and +3?

1 answer:

topjm [15]3 years ago

3 0

Answer: A
Explanation: because on the line between -4 and -6, -5 must go in between them two. Also for the between 2 and 4, 3 must go in between. If you’re just counting up that’s how you’ll get those. Hope this helped! God bless

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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

Oliga [24]

I’m not sure what the answer is, just trying to get points.... but I hope you find your answer :)

4 0

3 years ago

Draw a line representing the "rise" and a line representing the "run" of the line. State

Gennadij [26K]

Slope =rise/run = 5/5 =1

8 0

3 years ago

What times 5 equals 75

saveliy_v [14]

15 the answer is 15 because 15 x 5 = 75

5 0

3 years ago

Read 2 more answers

A circle with circumference 12 has an arc with a 48° central angle.

puteri [66]

Answer:

1.6 is the length of the arc

Step-by-step explanation:

48/360*12=1.6

6 0

4 years ago