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katrin [286]
3 years ago
12

1/4 of a pizza is split equally between three sisters. How much of a whole pizza will each sister get?

Mathematics
1 answer:
sattari [20]3 years ago
6 0

Answer:

1/12 of the pizza

Step-by-step explanation:

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What is the sum of the geometric sequence -4,24,-144, ... if there are 7 terms?
const2013 [10]
S_7=-4+24-144+864-5184+31104-186624
S_7=-4(1-6+36-216+1296-7776+46656)
(-6)S_7=-4(-6+36-216+1296-7776+46656-279936)
S_7-(-6)S_7=-4(1+279936)
S_7=-\dfrac47\times279937=-159964
4 0
3 years ago
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
How much water is needed to completely fill a mini-aquarium measuring 20 cm x 35 cm x 50 cm?
labwork [276]

volume =  l x w x h

volume = 20 x 35 x 50  = 35,000 cubic cm


 1 cubic cm = 0.001 liter

35000 x 0.001 = 35 liters of water is needed


6 0
3 years ago
ILL MARK AS BRAINLIEST
leonid [27]

Answer:

idk can u add a picture of the graph or diagram

Step-by-step explanation:

7 0
3 years ago
What is the value of x in the equation 8+4 = 2(x-1)?<br> 5<br> 11/2<br> 13/2<br> 7
Citrus2011 [14]

Answer:

x = 7

Step-by-step explanation:

I hope this helps!

4 0
2 years ago
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