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devlian [24]
3 years ago
7

Evaluate the expression. Choose the best answer.

la1" title="8^P4" alt="8^P4" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Morgarella [4.7K]3 years ago
4 0
N P r = (n!)/((n-r)!)
8 P 4 = (8!)/((8-4)!)
8 P 4 = (8!)/(4!)
8 P 4 = (8*7*6*5*4!)/(4!)
8 P 4 = 8*7*6*5
8 P 4 = 1680

The final answer is 1680

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739/1000 as a decimal
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0.739 is the answer that I got (this is not a rounded answer by the way)
hope it helps :)
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For the pair of similar solids, find the value of the variable.
serg [7]

Answer:

2cm..................

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What is the center and radius of the circle with the given equation (x-1)^2+(y+1)^2=4?
Mrrafil [7]
<span>The center is x = 1, y = -1.
The radius is 2. </span>
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How long will it take to have R30 000 for a trip to Europe if I invest R20 000 now at 15% per year, compounded quarterly?
maw [93]

<span>Compound  interest  formula</span>

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

 

Where

<span>
A= Future value
P = the Principal (the initial amount of money) 
r = annual interest rate</span>

t = time

<span>n= number of times compounded in one t






Remark
----------------------------------------------------------------------------------

r is generally a percentage like 3%, 7% etc and are applied in the formula as 0.03, 0.07..., 

the interest is compounded generally annually (n=1), quarterly (n=4), monthly (n=12), etc...

t is in years,


In our problem:

</span>

A= 30 000

P =20 000

r = 15%=0.15

time = t = ?

n= 4

applying the formula:

A=P(1+ \frac{r}{n} )^{nt}\\\\30,000=20,000(1+ \frac{0.15}{4} )^{4t}\\\\ \displaystyle{\frac{30,000}{20,000} =(1.0375)^{4t}

\displaystyle{ 1.5={(1.0375^4)}^t\\\\

1.5=1.159^t\\\\ \displaystyle { t=log_{1.159}1.5=2.75

75% of 12 months is 3/4 of 12 months, which is 9 months

Answer: 2 years, 9 months

3 0
3 years ago
Susan, Deon, and Felipe sent a total of 160 text messages during the weekend. Felipe sent 4 times as many messages as Susan. Deo
Romashka [77]

Answer:

Susan sent 25 messages

Felipe sent 100 messages

Deon sent 35 messages

Step-by-step explanation:

160 = x + 4x + x + 10

160 = 6x + 10

6x = 150

x = 25

7 0
2 years ago
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