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?

Answers

Answer 1
The formula is
A=p (1+r/k)^kt
A future value 30000
p present value 20000
R interest rate 0.15
K compounded quarterly 4
T time?
30000=20000 (1+0.15/4)^4t
Solve for t
Divide both sides by 20000
30000/20000=(1+0.15/4)^4t
Take the log of both sides
Log (30000/20000)=4t×log (1+0.15/4)
Divide both sides by log (1+0.15/4)
4t=Log (30000/20000)÷log (1+0.15/4)
Divide both sides by 4
T=(log(30,000÷20,000)÷log(1+0.15÷4))÷4
T=2.7 years round your answer to get 3 years

Hope it helps!

Related Questions

I'm stuck on this problem also
Find the Perimeter of the polygon with the vertices X(-1,3), Y(3,0), and Z(-1,-2). Round the answer to the nearest hundredth

Answers

The perimeter is 14.47
 
Since you have 3 vertices, the polygon you have is a triangle. The sides of the triangle will be XY, XZ, and YZ. Just use the pythagorean theorem to calculate the length of each side and then add the lengths together for the result. Side XY = sqrt( (-1-3)^2 + (3-0)^2) = sqrt(16+9) = sqrt(25) = 5 Side XZ = sqrt ( (-1-(-1))^2 + (3-(-2))^2) = sqrt(0+25) = sqrt(25) = 5 Side YZ = sqrt( (3-(-1))^2 + (0-(-2))^2) = sqrt(16 + 4) = sqrt(20) = 4.47 Now add the length of each side together 5 + 5 + 4.47 = 14.47

what seperates the places larger than 1 from those that are fractions of 1 such as tenths,hundreths

Answers

the decimal point separates them.

Evaluate [(21 + 6) − 3squared] ÷ 9 ⋅ 2.
choices are

4
4.6
1
52

Answers

The answer is 4 hope this helps. Good Luck!

Given that (-4,5) is on the graph of f(x), find the corresponding point for the function f(2x)

Answers

Answer:

the correct answer is (-2,5)

Step-by-step explanation:

you multiply 1/2 by -4 to get the x value

To find the corresponding point on the function f(2x) given a point on the original function f(x), simply multiply the x-coordinate by 2. In this case, the corresponding point is (-8,5).

Given: Point (-4,5) is on the graph of f(x).

To find: Corresponding point for the function f(2x).

Solution:

When x = -4, 2x = 2*(-4) = -8.So, the corresponding point for f(2x) would be (-8,5).

The area of a square living room is 256 ft2. Which is the length of the room?

Answers

the length of the room is 16 feet long.

After observing this pattern, Hideko made a conjecture for the next shape in the pattern. Five circles in a row. Each circle is divided into 4 equal-sized sectors. In the first circle, the top left sector is shaded. In the second circle, the bottom left sector is shaded. In the third circle, the bottom right sector is shaded. In the fourth circle, the top right sector is shaded. In the fifth circle, the top left sector is shaded. Which shape was most likely her conjecture for the next shape?

Answers

The left bottom sector will be the next shape that is going to be shaded.

Given that,
Five circles in a row. Each circle is divided into 4 equal-sized sectors.
In the first circle, the top left sector is shaded.
In the second circle, the bottom left sector is shaded.
In the third circle, the bottom right sector is shaded.
In the fourth circle, the top right sector is shaded.
In the fifth circle, t the bottom right sectoris shaded.
Which shape was most likely her conjecture for the next shape is to be determined.


What is the fraction?

Fraction is defined as the number of compositions that constitutes the Whole.

Here,
Let assign a number of shading to the various sector of the circle,
1 =  the top left sector
2 =  the bottom left sector
3 =  the bottom right sector
4 =  the bottom right sector

Now,
Series of shading the sector of a circle,
1, 2, 3, 4, 3, 2,1
We need to find what is the 6th conjecture
at 6th = 2
2 =  the bottom left sector

Thus, the left bottom sector will be the next shape that is going to be shaded.

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put in least to highest order 6.86,6.8,7,6.9,6.827 and 12.03,1.2,12.3,1.203,12.301

Answers

6.8,6.827,6.86,6.9

1.2,1.203,12.03, 12.301,12.31

Answer:

6.8,6.827,6.86,6.9

Step-by-step explanation:I hope it helps

Identify the number that does not belong with the other three. Explain your reasoning. -[tex] \frac{10}{2} [/tex], -13.4, [tex] \sqrt{18} [/tex], 22.7

Answers

Square root of 18 because it's the only irrational number.

45 decrease by twice a number

Answers

To solve this, we simply need to break down  and comprehend the words and form our equation.

"45 decreased by"
This shows that we are going to be subtracting 45 by something.
45-

"twice a number"
The "twice" implies that it is going to be 2 multiplied by something, and "a number" represents our variable, n.
45-2n

Using the logic above, we can see the equation to represent this phrase is 45-2n.


The population of a city increases by 4000 people each year. In 2025, the population is projected to be 450,000 people. What is an equation that gives the city’s population p (in thousands of people) x years after 2010?

Answers

p = 390,00 + 4000x

450,000 people - (15years x 4000) = 390k in 2010
 
15 years is the difference between 2010 and 2025
subtract 60k (that is the 15 years multiplied by 4k) from 450k and you get 390k.

Sorry if my explanations suck, I'm not great at explaining my thought process

Dennis cutting 4.7 foot length of twine from a 240 foot spool of twine he needs to cut 42 lenghts and says that 45 feet of twine will remain. Show that this is reasonable

Answers

sorry i had sent something wrong

The distance you travel while hiking is a function of how fast you hike and how long you hike at this rate. You usually maintain a speed of three miles per hour while hiking. Write a statement that describes how the distance that you travel is determined. Then identify the independent and dependent variables of this function.

Answers

If hours is represented as h, your distance is therefore 3*h (due to that for every hour, you walk 3 miles. For example, in one hour you'd walk 3 miles, in 2 hours you'd walk 3+3=3*2=6 miles,etc.). If distance is represented by d, we get 3*h=d. Since you have to figure out the distance from the equation (that's the purpose of it!), the distance is the dependent variable. In addition, since you can't have 2 separate variables in one equation, h is the independent variable due to that you have to put a number for h in to figure out the distance 

Answer:d

Step-by-step explanation:

2^x=3^x+1 what are the exact approximate solutions

Answers

Answer:

The exact approximate solution is x=-3.              

Step-by-step explanation:

Given : Expression [tex]2^x=3^{x+1}[/tex]

To find : What are the exact approximate solutions?

Solution :

Step 1 - Write the expression

[tex]2^x=3^{x+1}[/tex]

Step 2 - Taking log both side,

[tex]\log(2^x)=\log(3^{x+1})[/tex]

Step 3 - Applying logarithmic property, [tex]\log a^x=x\log a[/tex]

[tex]x\log(2)=(x+1)\log(3)[/tex]

Step 4 - Solve

[tex]x(\log(2)-\log(3))=\log(3)[/tex]

[tex]x=\frac{\log(3)}{(\log(2)-\log(3))}[/tex]

[tex]x=\frac{\log(3)}{\log(\frac{2}{3})}[/tex]

[tex]x=\frac{0.477}{-0.176}[/tex]

[tex]x=-2.710\approx -3[/tex]

Therefore, The exact approximate solution is x=-3.

Answer:

D edge

Step-by-step explanation:

This year your brother jack will be 2 years from being twice as old as your sister jen. the sum of jack’s age and three times jen’s age is 66. how old is jen?

Answers

Let the age of Jen 2 years later be x,

age of jack two years later = 2x
total age of jack and jen now = 2x + x - 2 - 2
= 3x - 4
3x - 4 = 66
3x = 70
x = 70/3
= 23.3 (to three significant figures)
age of jen now = x - 2
= 23.3 - 2
= 21.3

Jen is 21.3 years old now.

Find the root that is a real number. rootindex 4 startroot 4096 endroot

Answers

the answer would be C.

Answer: 8

Step-by-step explanation:[tex]\sqrt[4]{4096}[/tex]

We need to factor this, so

[tex]4096|2\\2048|2\\1024|2\\512|2\\256|2\\128|2\\64|2\\32|2\\16|2\\8|2\\4|2\\2|2\\1[/tex]

[tex]4096 = 2^{12}[/tex]

We have to remember that [tex]x^{n+m}=x^{n}.x^{m}[/tex]

This way, we have [tex]\sqrt[4]{4096}=\sqrt[4]{2^{12}} = \sqrt[4]{2^{4}.2^{4}.2^{4}}  = 2.2.2=8[/tex]

Which property justifies the following equation 7 [6+5+(-6)=7 [6+(-6)+5]

Answers

Commutative property
I believe that is the commutative property because u r moving the numbers around. 

Which of the following compensation options helps pay for premiums that cover medical expenses?

A. Cafeteria plan   B. 401(k)   C. Life insurance   D. Health insurance

Answers

the answer is d) Heath insurance.

Answer:  Option 'D' is correct.

Step-by-step explanation:

Health insurance is an insurance that covers the risk of a person incurring medical expenses, for this TPA is hired to verify and collect the medical bills regarding the medical expenses .On the other hand, Life Insurance covers the risk of death of a person and after the sum insured goes to the Nominee.

Whereas, Cafeteria plan is a reimbursement plan done by employees to contribute their gross income in a designated accounts.

Hence, Option 'D' is correct.

Please answer all 3 questions thank you.

Answers

1) Since 8 is 3 units away from 5 we know the radius is 3. When we put that in the circumference formula we get 6(pi) which is 18.8

2) When we use pythagorean thereom we get that the radius is 5 time the square root of 2. When we put this in the area formula we get 25(2)(pi) which is 157.1

solve for y, 3xy+x=9 Then find f(x) when x=2

Answers

3xy+x=9
3xy = 9 - x
    y = 3/x - 1/3

if x = 2
f(2) = 3/2 - 1/3
f(2) = 9/6 - 2/6
f(2) = 7/6
f(2) = 1 1/6

When 75% of a number is added to 6, the result is 3 more than the number. find the number?

Answers

hello : 
let : x  this the number
(75/100)x +6  = x+3

(3/4)x - x = 3 -6
(-1/4)x = -3
x = 12

To find the number in question, an equation is set up and solved, resulting in the number 12, which satisfies the given conditions where 75% of the number added to 6 equals 3 more than the number itself.

The question asks to find a number such that when 75% of it is added to 6, the result is 3 more than the number itself. To find this number, we can set up an equation: Let the number be represented by x. So, we have 0.75x + 6 = x + 3. To solve for x, we subtract 0.75x from both sides of the equation to get 6 = 0.25x + 3. Next, we subtract 3 from both sides to get 3 = 0.25x. Finally, dividing both sides by 0.25 gives us x = 12. Therefore, the number we are looking for is 12

Rita bought a table on sale for $278.80 . this price was 66% less than the original price. what was the original price?

Answers

if it was 66% less then the original, then u paid 34%

34% of the original price = 278.80
0.34x = 278.80
x = 278.80 / 0.34
x = 820 <== original price was $ 820

If a cube shaped cell is 3 units tall by 3 units wide and 3 units long, what is the volume of the cell?

Answers

it should be 6 because cubes have six sides

The volume of the cube is 27 cubic units.

Volume = side length × side length × side length

Given:

the side length of the cube is 3 units,

we can calculate the volume as follows:

Side length = 3 units

Volume = 3 units × 3 units × 3 units

              = 27 cubic units

So, the volume of the cube-shaped cell is 27 cubic units.

HELP ME PLEASE NEED ANSWER NOWWWWWWWWWW solve the following system of equation. Round your answer to the nearest tenth. Your answer will be in the form (M,N). Find M+N, rounded to the nearest tenth.
5x+2y=21
-2x+6y=-34

Answers

 
(A) 5x+2y=21
(B) -2x+6y=-34

multiply (A) by - 3→ -15x - 6y = - 63 (C)

Now add (C) to (B):

-15x - 6y = - 63 (C)
-2x + 6y  =-34 (B)
 -----------    --------
-17x         = - 97       and x = 97/17

Now replace x value in any of the equation and you'll find y = - 64/17

1st Answer (97/17 , - 64/17)
2nd Answer : 97/17 + (-64/17) = 97/17 - 64/17 = 33/17 ≈ 2

What is the fraction 3/2 squared in fraction form?

Please help

Answers

(3/2)^2 would equal 9/4 as you are just squaring both the numerator and the denominator. And if you wanted to simplify that you would get 3/2 again.

Fraction 3/2 squared in fraction form is 9/4.

What is Fraction?

A fraction represents a part of a whole.

Given,

The fraction is 3/2

In the given fraction the numerator is three and denominator is 2

Three by two which is a improper fraction

We have to square 3/2

Three by Two whole square

(3/2)²

Three square by two square

3²/2²

Nine by four

9/4

Hence fraction 3/2 squared in fraction form is 9/4.

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is 5.75 greater than 5 8/12

Answers

Yes, as 5 8/12 is equal to 5.667

Yes, 5.75 is greater than 5 8/12 because 5 8/12 is equal to 5.67 which is less than 5.75.

What is the fraction?

A fraction is defined as a numerical representation of a part of a whole that represents a rational number.

What are Arithmetic operations?

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

We have been given two numbers as

5.75 and 5 8/12

To determine the value 5.75 is greater than or less than 5 8/12

We have to convert the fraction 5 8/12 into the decimal,

⇒ 5 8/12

⇒ (60 + 8)/12

⇒ (68)/12

Apply the division operation,

⇒ 5.67

Therefore, 5.75 is greater than 5 8/12 because 5 8/12 is equal to 5.67 which is less than 5.75.

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What times what equals 75

Answers

25x3=75 !!!!!!!!!!!!!!!!!!!!
-75,-25,-15,-5,-3,-1,1,3,5,15,25,75. Good luck

N the metric system, how many microseconds are needed to make one second?

Answers

One μs = 10⁻⁶ second (one millionth), so it takes a million of them to make one second.

Daniel income tax rate is 15% if he made 32,000 this year what will his pay be in taxes this year

Answers

Final answer:

Daniel will pay $4,800 in taxes for the year by applying a 15% tax rate to his $32,000 income.

Explanation:

To calculate the amount of income tax Daniel will pay on his $32,000 income, we will apply the 15% tax rate that corresponds to the income bracket provided in the reference material. Here's how the calculation is done:

First, identify the total income: $32,000.Next, multiply the total income by the tax rate: $32,000 * 15% (or 0.15).The calculation will be: $32,000 * 0.15 = $4,800.

Therefore, Daniel will pay $4,800 in taxes for the year.

Which value is equivalent to





Select one:
a. 64 over 49
b. 8 over 49
c. 16 over 7
d. 512 over 7

Answers

it is a.) 64 over 49.

Solve the system of equations. y =9x y =2x + 63

Answers

y=2x+7 
y=9x+8 
From (1),
x= (y-7)/2
Substituting value of x in eqn (2) we get, 
y= 9.(y-7)/2 + 8
y=9x and
y=2x+63

subsitute 9x for y

9x=2x+63
minus 2x from both sides
9x-2x=2x-2x+63
7x+0=63
7x=63
divide both sides by 7
7x/7=63/7
(7/7)x=9
(1)x=9
x=9

sub back to find y


y=9x
y=9(9)
y=81

(x,y)
(9,81)

the solution is (9,81)
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