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zzz [600]
2 years ago
14

Find the area of the polygon with the given vertices x(2,4) y(0,-2) z(2,-2)

Mathematics
1 answer:
weeeeeb [17]2 years ago
8 0

Answer:

6

Step-by-step explanation:

b = 2 units

h = 6 units

A=1/2 *b*h

= 1/2 *6*2

= 6

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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
Consider the following conditional statement:
IrinaVladis [17]

Answer:

a. contrapositive because it's the converse and inverse. True.

b. converse because it's the reverse of conditional statement. True.

c. That is false so it's not converse, inverse, or contrapositive.

6 0
3 years ago
Solve for x- <br> 6x^2 + 36x + 54 = 0
lions [1.4K]

Answer:

-3

Step-by-step explanation:

6x^2+36x+54=0

First, you can factor out a 6:

6(x^2+6x+9)=0

Next, you can factor the quadratic:

6(x+3)^2=0

Since the only value of x that could set this equation equal to 0 is -3, that is the answer. Hope this helps!

5 0
3 years ago
In The cafeteria, 100 milk cartons were put out for breakfast. At the end of breakfast, 27 remained. What is the ratio
riadik2000 [5.3K]
Number of milk cartons put out for breakfast = 100

Number of cartons remaining at the end = 27

Number of cartons consumed = 100 - 27 = 73

Ratio of cartons remaining / cartons consumed = 27/73
7 0
3 years ago
As the days after planting increases, the number of squash___
Contact [7]

Answer:

Step-by-step explanation:

Td

6 0
3 years ago
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