3. (a) Calculate the compound interest over an amount of N$ 58 000 that is invested for 6 years at a rate of 5% pa​

Answer: 0.75 minutes per lap

Explanation:

Answer:

[tex] LJ = 46 [/tex]

Step-by-step explanation:

Given:

[tex] LK = MK [/tex]

[tex] LK = 7x - 10 [/tex]

[tex] KN = x + 3 [/tex]

[tex] MN = 9x - 11 [/tex]

[tex] KJ = 28 [/tex]

Required:

LJ

Solution:

Step 1: create an equation to find the value of x

Since we are given that LK = MK, and LK = 7x - 10, let's find the expression for MK to get an equation.

[tex] MK + KN = MN [/tex] (segment addition postulate)

[tex] MK = MN - KN [/tex] (Subtract KN from each side)

[tex] MK = (9x - 11) - (x + 3) [/tex] (subtitution)

[tex] MK = 9x - 11 - x - 3 [/tex]

[tex] MK = 9x - x - 11 - 3 [/tex]

[tex] MK = 8x - 14 [/tex]

LK = MK, therefore,

[tex] 7x - 10 = 8x - 14 [/tex]

Subtract 8x from each side

[tex] 7x - 10 - 8x = 8x - 14 - 8x [/tex]

[tex] -x - 10 = -14 [/tex]

Add 10 to both sides of the equation

[tex] -x - 10 + 10 = -14 + 10 [/tex]

[tex] -x = -4 [/tex]

Divide both sides by -1

[tex] x = 4 [/tex]

Step 2: Find LJ

[tex] LJ = LK + KJ [/tex] (segment addition postulate)

[tex] LJ = (7x - 10) + (28) [/tex]

Plug in the value of x

[tex] LJ = 7(4) - 10 + 28 [/tex]

[tex] LJ = 28 - 10 + 28 [/tex]

[tex] LJ = 46 [/tex]

Answer:

17

Step-by-step explanation:

Whenever you are multiplying 2 negative numbers together, the answer is always positive. In this case, you are multiplying -1 and -17 together, so your answer is going to be 17.

Answer:

3,3

Step-by-step explanation:

Answer:

Step-by-step explanation:

The term "about the origin" means that the origin is "the center of rotation".

Our coordinate right now is (3, 2).

90 degrees clockwise means we need to rotate to the left by 90 degrees. So if you rotate your image:

We now get (2, 3).

(I had some trouble reading the numbers, I'm reading them as (1, 2, 3, 4, 5,) for the X and Y axis, I hope I read them right.)

Answer:

8

Step-by-step explanation:

circumference of about 5 ft means perimeter of 5 ft.

every full circle the wheel rotates it goes 5 ft

So 40 ft divided by 5 ft is 8

8 rotates

Answer:

8

Step-by-step explanation:

Answer:

6+36-4=38/2=19

Answer is 19 for number 1

Step-by-step explanation:

Answer:

1/81

Step-by-step explanation:

First, square 1/3 that gets you, 1/9, multiply by 3 again to get 1/27, again to get 1/81

Answer:

________________

I think it's 85 yards

Answer:I have now idea how to do this I only nine

Step-by-step explanation: IDK

Answer:

6 eggs for a 15 person cake.

Step-by-step explanation:

The cake recipe for 5 people requires 2 eggs.

You are solving for the amount of eggs for 15 people.

Divide 15 with 5: 15/5 = 3

The prompt multiplied 3 to the people to get the required amount. Do the same with the eggs:

2 x 3 = 6

6 eggs is needed.

[tex]\frac{5 people}{2 eggs} * \frac{3}{3} = \frac{15 people}{ 6 eggs}[/tex]

Answer:

probably the first one 4x+6

Answer

4x square + 3

Step-by-step explanation:

Perimeter of a Rectangle = 2(l * b)

= 2*(2x+3 * x)

=2*(2x*x+3)

=2*(2x squared * + 3)

2*2x squared + 3

=4x square + 3

Answer:

7

Step-by-step explanation:

Answer: it’s c.) y= 5/4x +10

Step-by-step explanation:i took the quiz:)

Answer:

its c

Step-by-step explanation:

i just took the quiz

Answer:

A is the answer

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

4x+3=15

subtract

4x=12

divide

x=3

Answer:

[tex]x=3[/tex]

Step-by-step explanation:

[tex]4x+3=15\\\\4x+3-3=15-3\\\\4x=12\\\\\frac{4x=12}{4}\\\\\boxed{x=3}[/tex]

Hope this helps.

Answer:

4.63 as simplified fraction is

463/100

Step-by-step explanation:

4.63 as a fraction in simplest form

To convert 4.63 to fraction, follow these steps:

First write down the decimal number divided by 1 like this:

4.63/1

As we have 2 digits after the decimal point in the numerator, we need to multiply both the numerator and denominator by 10² = 100, so that there is no decimal point in the numerator

4.63 × 100

   1 × 100

=

463/100

As the numerator is greater than the denominator, we have an improper fraction, so we can also express 4.63 as a mixed number, thus 463/100 is equal:

4 63/100

Hi

[tex]\sqrt{(x+7)[/tex]   -1 = X

Let's square the whole thing  

so we have :    x+7 +1 = x²

                         x² +x+7 +1 = 0

                         x²+x+8 = 0

no easy way to see a common factor so, let 's resolve by using discriminate.  

Δ = 1-4*1*8

Δ = 1 -32

Δ = -31

as Δ  ≤ 0 , there is no Real answer to your equation  

however , if you need we can find imaginary solutions. Just ask in commentaries

Answer:

its 2

Step-by-step explanation:

Answer

pi.

Step-by-step explanation:

If you add pi (3.14) to 3/4, you will get an irrational answer.

Answer:

x =-4

Step-by-step explanation:

[tex]12 - 3x = -6x[/tex]

Step 1 ; Collect like terms . (put the numbers with variables on one side of the equation and ordinary numbers on the other side )

[tex]12 =-6x+3x[/tex]

Note ; When a number is crossing over an equality sign ; the sign will always change

Step 2 ;

Simplify

[tex]-6x +3x =-3x\\\\ 12=-3x[/tex]

Step 3 ; Divide both sides of the equation by -3

[tex]\frac{12}{-3} = \frac{-3x}{-3} \\\\-4 = x[/tex]

Switch sides

[tex]x =-4[/tex]

Answer:

answer is 2x+y = 20

Step-by-step explanation:

I did the test

The equation of a line with a slope of –2 that passes through the point (6, 8) will be 2x + y = 20.

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

The slope is -2. Then the equation of line will be

y = –2x + c

The line is passing through (6, 8), then we have

8 = –2(6) + c

8 = –12 + c

c = 8 + 12

c = 20

Then the equation of line will be

       y = –2x + 20

2x + y = 20

The equation of a line with a slope of –2 that passes through the point (6, 8) will be 2x + y = 20.

More about the equation of line link is given below.

https://brainly.com/question/21511618

#SPJ2

Answer:

509 rounded to the nearest hundred is:

500

Step-by-step explanation:

When rounding to the nearest hundred, like we did with 509 above, we use the following rules:

A) We round the number up to the nearest hundred if the last two digits in the number are 50 or above.

B) We round the number down to the nearest hundred if the last two digits in the number are 49 or below.

C) If the last two digits are 00, then we do not have to do any rounding, because it is already to the hundred.

Rounded to Nearest Hundred

Enter another number below to round it to the nearest hundred.

What is 510 rounded to the nearest hundred?

Now you know what 509 rounded to the nearest hundred is. Go here for the next number we rounded.

Answer:

It's A :)hope this helped.

Step-by-step explanation:

Answer:

A

Step-by-step explanation: Khan Academy

Answer:

the surface  area of a penny = 662.81 mm²

Step-by-step explanation:

given:

A penny is a cylinder with a diameter of 19.05 millimeters

and a thickness of 1.55 millimeters.

find:

what is the surface  area of a penny?

surface area of a cylinder formula:

As = 2 π r h + 2 π r²

let r = 19.05 / 2

r = 9.53 mm

let h = 1.55mm

plugin values into the formula:

As = 2 π (9.53) 1.55    +    2 π (9.53)²

As = 92.76 +  570.05

As = 662.81 mm²

therefore,

the surface  area of a penny = 662.81 mm²

Answer:

the surface  area of a penny = 662.81 mm²

Step-by-step explanation:

got this correct in exam

Answer:

C. QRT and TRQ

Answer:

O is greater than -4

Step-by-step explanation:

Answer:

O is less than -4

0<-4

Step-by-step explanation:

Answer:

2909

Step-by-step explanation:

Answer:

So the answer for your question is Sarah is correct because square root 2 is irrational:)

Step-by-step explanation:

Rational numbers are numbers that can be expressed as a fraction or part of a whole number. (examples: -7, 2/3, 3.75) Irrational numbers are numbers that cannot be expressed as a fraction or ratio of two integers.

√  means square root. Square root means a number which produces a specified quantity when multiplied by itself. SO for example 7 is a square root of 49...

Example of another irrational and rational number: 74 is rational. Irrational number would be  3.14:)

Hope this helped...yeah I wrote a lot of stuff, I hope you understand it;)

Answer:

y=2

Step-by-step explanation:

y=0+2

y=2

The question is incomplete:

Tavon has a gift card for $115 that loses $2.50 for each​ 30-day period it is not used. He has another gift card for $95 that loses $2 for each​ 30-day period it is not used.

Write and solve an equation for the number of 30-day periods until the value of the gift cards will be equal.

Answer:

115-2.5x=95-2x

The value of the gift cards will be equal after 40 30-day periods.

Step-by-step explanation:

From the information given, you can write the following equation:

115-2.5x=95-2x, where x is the number of 30-day periods the gift card is not used.

Now, you can solve for x:

115-95=-2x+2.5x

20=0.5x

x=20/0.5

x=40

According to this, the answer is that the value of the gift cards will be equal after 40 30-day periods.

Answer:

[tex]$\frac{1}{1029} $[/tex]

Step-by-step explanation:

[tex]$\frac{\sqrt[3]{343^{-3}}}{\sqrt[4]{81} } $[/tex]

[tex]$\boxed{\text{Property: } a^{-b}=\frac{1}{a^{b}}} $[/tex]

[tex]$\frac{\sqrt[3]{\frac{1}{343^{3}} }}{\sqrt[4]{81} } $[/tex]

[tex]$\frac{\frac{\sqrt[3]{1} }{\sqrt[3]{343^3} } }{\sqrt[4]{81} } $[/tex]

[tex]$\frac{\frac{1 }{343} }{3} $[/tex]

[tex]$\frac{342 \cdot \frac{1 }{343} }{343 \cdot 3} $[/tex]

[tex]$\frac{1}{1029} $[/tex]