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2 years ago

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Peter invests R4000 for 6years at an interest rate of 16% per annum compounded monthly.calculate the value of the investment at

the end of the six year period

1 answer:

AlexFokin [52]2 years ago

7 0

Answer:

$principle \: \times rate \times time \div 100\%$

4000×16%×6÷100%=3920

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Consider the expression 6x6^0x6^-3

Montano1993 [528]

Answer:

6*(6^-3)=0.027777 recurring

Step-by-step explanation:

6^0=1

6^-3=0.004629629 recuuring

0.004629629 recurring *6=0.0.02777recurring

6 0

2 years ago

The population of a small town in central Florida has shown a linear decline in the years 2001-2012. In 2001 the population was

earnstyle [38]

Answer:

Step-by-step explanation:

First of all, to keep our numbers manageable, we are going to let year 2001 = 0 so year 2012 = 11. The coordinates that result from these years/population numbers are (0, 22200) and (11, 13950). Since this linear, we can plug those 2 coordinate pairs into the slope equation to find the rate at which the population is decreasing in people per year:

$m=\frac{13950-22200}{11-0}=\frac{-8250}{11}=-750\frac{people}{year}$ That means that the town is losing people at the rate of 750 per year. We can use that slop along with one of the coordinate points to write the linear equation representing this situation:

$y-22200=-750(x-0)$ and

y = -750x + 22200. That answers part A.

Now for B we need to find y when x = 13 (remember we let year 2001 = 0, so year 2014 = 13):

y = -750(13) + 22200 so

y = 12450 people in the year 2014

6 0

2 years ago

What are reasons A,B,and C in the proof?

Vlad [161]

Answer:

Option D is correct.

Explanation:

Commutative Property of Multiplication define that two numbers can be multiplied in any order.

i.e $a\times b =b \times a$

Distributive property of multiplication states that when a number is multiplied by the sum of two numbers i.e, the first number can be distributed to both of those numbers and multiplied by each of them separately.

$a \times (b+c) = a\times b+ a\times c$

Associative property of multiplication states that multiplication allows us to group factors in different ways to get the same product.

Given:

A = $( 4\times 3) + (2 \times 4 )= ( 4\times 3) + (4 \times 2 )$

B = $4 \times ( 3+2)$

C = $4 \times 5$

then;

$( 4\times 3) + (2 \times 4 )$

Using Commutative property of Multiplication we can write $2 \times 4 = 4 \times 2$ then we have;

$( 4\times 3) + (2 \times 4 ) = ( 4\times 3) + (4 \times 2 )$

Using Distributive property of multiplication;

$( 4\times 3) + (4 \times 2 ) = 4 \times ( 3+2)$

by using associative property of multiplication ,

$4 \times (3+2) = 4 \times 5$

Therefore, the reasons for A , B and C in this proof are;

A.commutative property of multiplication

B. distributive property

C. associative property of multiplication

6 0

3 years ago

Solve the system by substitution. Check your solution. <br> a-1.2b=-3 <br> 0.2b+0.6a=12

velikii [3]

A - 1.2b = - 3 ⇒ eq. 1
0.2b + 0.6a = 12 ⇒ eq. 2

a - 1.2b = - 3
a = 1.2b - 3 ⇒ eq. 3

Substitute eq. 3 to eq. 2
0.2b + 0.6(1.2b - 3) = 12
0.2b + .72b - 1.8 = 12
Combine like terms
0.92b = 12 + 1.8
0.92b = 13.8 ⇒ divide both sides by 0.92 to get the value of b
<span>b = 15

</span>Substitute the value of b to eq. 3
a = 1.2b - 3
a = 1.2(15) - 3
<span>a = 15

</span>to check: substitute the values of a and b to:
eq. 1
a - 1.2b = - 3
15 - (1.2)(15) = -3
15 - 18 = - 3
- 3 = -3 ⇒ correct!

eq. 2
0.2b + 0.6a = 12
(0.2)(15) + (0.6)(15) = 12
3 + 9 = 12
12 = 12 ⇒ correct!

7 0

3 years ago

Read 2 more answers

In triangle ABC show find BC..<br><br><br> Need help ASAP!!!

Temka [501]

Answer: BC=22cm

Step-by-step explanation:

5d-3=3d+7

2d=10

d=5

plug 5 into the equation for BC, and you get 22

3 0

3 years ago

Read 2 more answers