calculate the compound interest on an investment of R6500 at 7,5% per annum invested for 3 years​

Answer:

A 4 digit PIN is selected. What is the probability that there are no repeated digits?

There are 10 possible values for each digit of the PIN (namely: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9), so there are 10 × 10 × 10 × 10 = 104 = 10000 total possible PINs.

To have no repeated digits, all four digits would have to be different, which is selecting without replacement. We could either compute 10 × 9 × 8 × 7, or notice that this is the same as the permutation 10P4 = 5040.

The probability of no repeated digits is the number of 4 digit PINs with no repeated digits divided by the total number of 4 digit PINs. This probability is

Answer:

A. 3q^2

Step-by-step explanation:

Find the prime factors of each term in order to find the greatest common factor (GCF).

Answer:

See Explanation

Step-by-step explanation:

Given

The function is not clear, so I will use:

[tex]x(t) = 2+ 3t + t^2[/tex]

Required

Speed over 2 to 10s

This is calculated as:

[tex]Speed = \frac{x(a) - x(b)}{a - b}[/tex]

Where

[tex](a,b) =(2,10)[/tex]

So, we have:

[tex]Speed = \frac{x(2) - x(10)}{2 - 10}[/tex]

[tex]Speed = \frac{x(2) - x(10)}{-8}[/tex]

Calculate x(2) and x(10)

[tex]x(2) = 2+ 3*2 + 2^2 =12[/tex]

[tex]x(10) = 2+ 3*10 + 10^2 =132[/tex]

So, we have:

[tex]Speed = \frac{12 - 132}{-8}[/tex]

[tex]Speed = \frac{-120}{-8}[/tex]

[tex]Speed = 15[/tex]

Answer:

28.566

Step-by-step explanation:

you use the pythagorean theorem which is a^2 + b^2 = c^2 and plug in those numbers into the equation solving for a. hope this helped!

Answer:

I'm pretty sure your answer is 3, -4

Step-by-step explanation:

Answer:

52.70

Step-by-step explanation:

49.95x.055=2.75 tax

49.95+2.75=52.70 total costs

Answer:

416 cm^2

Step-by-step explanation:

The formula for the area of a trapezoid is:

[tex]\frac{(b1+b2)*h}{2}[/tex]

where b1 and b2 are the bases and h is the height. We can plug what we have into the formula:

[tex]\frac{(14 + 38)*16}{2}[/tex]

[tex]\frac{(52)*16}{2}[/tex]

[tex]52*8[/tex]

416 cm^2

Answer:

C

Step-by-step explanation:

thanks to the given informations we can say that the right triangle is half of an equilater one.

the height of the triangle can be find by multiplying the smallest leg with √3

so

x√3 = 8

x = 8/√3

that can be expressed as 8√3/3

8√3

3

Step-by-step explanation:

This triangle is 30-60-60 and to get side 8 is equal to x√3

Answer:

First Problem: 9

Second Problem: Not, Is, Is, Not, Not

Third Problem: n = 18

Step-by-step explanation:

First Problem: [tex]3^{6+4}/3^{8}[/tex] =3^2 = 9

Second Problem: 11^24

Third Problem: 7^30/7^12=7^n

Answer:

8.8in

Step-by-step explanation:

cube 571.787

Answer:

22

Step-by-step explanation:

738.00 - 78.00 =  660

Am subtracting because he made a down payment so I can get  the remaining of the money.

Let x = # of months

You use the remaining of the money to divide by 30 because of his monthly payments.

660 / 30x =

x = 22

Divide by 30 to isolate the variable x.

Answer:

x=2

Step-by-step explanation:

Since the are the same equation they are already equal

Answer:

x=2

Step-by-step explanation:

Answer:

x = 63/4  or 15 3/4

Step-by-step explanation:

4(x-11)=19

Distribute

4x -44 =  19

Add 44 to each side

4x-44+44 = 19+44

4x = 63

Divide by 4

4x/4 = 63/4

x =15 3/4

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

[tex]4(x - 11) = 19 \\ 4x - 44 = 19 \\ 4x = 19 + 44 \\ 4x = 63 \\ x = \frac{63}{4} \\ x = 15.75[/tex]

✐ The value of x is 63/4 (in fraction form) OR 15.75 (in decimal form).

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Answer:

a= 4,3

b=1,2

c=-3,4

d=-1,2

e= -2,-1

f= -4,-3

g=1,-2

h=4,-1

k=-3,0

Answer:

[tex]Pr(egg) = \frac{3}{14}[/tex]

Step-by-step explanation:

Given

[tex]Days = 14[/tex] --- 2 weeks

[tex]Eggs = 3[/tex] --- daily

Required

The experimental probability of getting 3 eggs tomorrow

This is calculated as:

[tex]Pr(egg) = \frac{Eggs}{Days}[/tex]

Substitute values for eggs and days

[tex]Pr(egg) = \frac{3}{14}[/tex]

Answer:

y = 25

Step-by-step explanation:

Substitute x = 5 into the equation for value of y

y = 3(5) + 10 = 15 + 10 = 25

Answer:

ez

Step-by-step explanation:

ez

Answer:

your profit is Double the price that you bought the kits

Step-by-step explanation:

x= cost of kit

you buy it x/2

x/2 + 4.5 .... (1)

x + x/2 +4.5 .... (2)

let x = 40

40/2 + 4.5 = 24.5

40 + 40/2 + 4.5 = 64.5

64.5 - 24.5 = 40

so

you buy it in x/2 = 40/2 = 20

and sell it in x = 40

40/20 = 2

your profit is Double the price that you bought the kits

The profit is Double the price that you bought the kits.

An equation is an expression that shows the relationship between two or more numbers and variables.

We have been given that the cost of the kits on sale for 50% of the original price, plus a shipping fee of $4.50 per kit.

Let x be the cost of kit.

Therefore,

x/2 + 4.5 .... (1)

x + x/2 +4.5 .... (2)

let x = 40

40/2 + 4.5 = 24.5

40 + 40/2 + 4.5 = 64.5

64.5 - 24.5 = 40

Therefore, buy it in x/2 = 40/2 = 20

and sell it in x = 40

40/20 = 2

Hence, the profit is Double the price that you bought the kits.

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Answer:

(10, 8)

Step-by-step explanation:

The missing vertex can be found by plotting the given coordiantes on a graph.

Answer:

x = 5

y = 6

Step-by-step explanation:

Let's Solve for x-value first:

By the midsegment theorem we can say;

18 = 2x + 8

18 - 8 = 2x

10 = 2x

10/2 = x

5 = x

Now that we have x-value, let's figure out y-value similarly;

22 = 4y - 2

22 + 2 = 4y

24/4 = y

6 = y

There is the answer!

x = 5, and

y = 6

Hope this helps!

Answer:

Step-by-step explanation:

cos theta is 5/13

so, adjacent=5 ,hypotenuse=13 and opposite=?

hypotenuse^2=adjacent^2+opposite^2

13^2=5^2+opposite^2

169-25=opposite^2

[tex]\sqrt{144}[/tex]=opposite

12=opposite

sin theta=opposite/hypotenuse

=12/13

Answer:

The Slope Is 0.6

Step-by-step explanation:

Formula: [tex]m=\frac{yb-ya}{xb-xa}[/tex]

Solution:

[tex]m=\frac{-10-2}{-16-4}[/tex]

[tex]m=\frac{12}{-20}[/tex]

m=0.6

Answer:

the answer would be -12/-20 or 0.60

To find the volume multiply all 3 numbers together.

2 1/2 x 1 1/2 = 3 3/4

3 3/4 x 3 = 11 1/4

The volume is 11 and 1/4 cubic units

Answer:

y=2x+14

Step-by-step explanation:

m=3-(-5)=2

   -1-(-5)

so the slope is 2

to write the equation

y-y1=m(x-x1)

we will take the mid

-5+(-1)=-6

-5+3=2

y-2=2(x-(-6))

y-2=2x+12

y=2x+14

Answer:

y  =2x + 5

Step-by-step explanation:

y2 - y1 / x2 - x1

3 - (-5) / -1 - (-5)

8 / 4

2

y = 2x + b

3 = 2(-1) + b

3 = -2 + b

b = 5

Answer: 3^15

Step-by-step explanation: carry the one to the 5 divide by the third and multiply the fractions , find the mean ( average ) of the mode and square that to find your a b and c values

Answer:

[-8]

Step-by-step explanation:

An absolute value of |x| {modulus of x} is the value of a real number x. The option A and C represents elevation, while B and D represents vertical distance from sea level.

An absolute value of |x| {modulus of x} is the value of a real number x, the value we get is always a non-negative number, for example, |-5| will give 5, also, |5| will give 5 as well.

Given that you can use "-6 feet" to describe its elevation, and "|-6 feet|" to describe its vertical distance from sea level. Therefore, each of the number will describe the following things.

A. 25 feet → 25 feet above sea level

B. |25| feet → 25 feet from sea level

C. -8 feet → 8 feet below sea level

D. |-8| feet → 8 feet from sea level

Hence, The option A and C represents elevation, while B and D represents vertical distance from sea level.

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Answer:

D) 7(5x-1)

Step-by-step explanation:

35x -7

7*5x -7*1

7(5x-1)

Answer:

D) 7(5x-1)

Step-by-step explanation:

35x-7

7(5x-1)