Sven deposited R3500 into a savings account where interest is compounded annually at 11.2% at the end of two years he withdrew R1800.
calculate the amount of money left in the account after two years​

Answers

Answer 1

Answer:

Amount left= 4,327.9 - 1,800

Step-by-step explanation:

Giving the following information:

Initial deposit (PV)= $3,500

Interest rate (i)= 11.2%

Number of periods (n)= 2 years

Withdrawal= $1,800

First, we need to calculate the future value of the investment at the end of 2 years:

FV= PV*(1 + i)^n

FV= 3,500*(1.112^2)

FV= $4,327.9

Now, after the withdrawal:

Amount left= 4,327.9 - 1,800


Related Questions

For some integer q, Every odd integer is of the form

(a) q (b) q+1 (c) 2q (d) 2q+1​

Answers

Answer:

Every Odd Integer is of the form 2q+1

Take 5 as our test odd Number

2(5) + 1 = 11.

This works and Nothing else will from the set of Options.

SO OPTION D IS LEGIT!

PLZZ HELP.... I NEED MY GRADE TO GO UP BC ITS ALMOST MY BIRTDAY AND I CANNOT FAIL!! PLLLLLLLSSSSSSS WILL MARK Brainliest
Last Sunday Lily and Maddie went to Sarah’s Sweet Shop and purchased one cupcake and one brownie. Their bill was $4.50.
The next day they brought their friend Jessica and purchased 3 cupcakes and one brownie. This time their bill was $9.50.
Let x represent the price of each cupcake.
Let y represent the price of each brownie.

2.The first equation in the system is: x+y=4.50x+y=4.50
3.The second equation in the system is : 3x + y = 9.50
4.Solve the system from question 3 to find the price per cupcake.
5.Find the price per brownie.
6.Find the total cost to purchase 4 cupcakes and 4 brownies from the shop.

Answers

Answer:

Each cupcake cost $2.50 and each brownie cost $2.00

Step-by-step explanation:

Let x represent the price of each cupcake and let y represent the price of each brownie.

Lily and Maddie bought one cupcake and one brownie for $4.50. Hence the equation is:

x + y = 4.50                (1)

Also Jessica purchased 3 cupcakes and one brownie for $9.50. Hence the equation is given by:

3x + y = 9.50              (2)

To find the price of each cupcake and brownie, we solve equation 1 and 2 simultaneously. To find x, subtract equation 1 from equation 2:

2x = 5

x = $2.50

Put x = $2.50 in equation (1):

2.50 + y = 4.50

y = $2.00

Therefore each cupcake cost $2.50 and each brownie cost $2.00

What is the volume of a sphere with a diameter of 9.1 m, rounded to the nearest tenth of a cubic meter?​

Answers

Answer:  394.6 m^3

Step-by-step explanation:

-

Which is not a solution of 5g - 6 => 24?
A. g=6
B. g=10
C. g. 20
D. g=-8

Answers

Answer:

A. g=6

Step-by-step explanation:

5g-6=24

5g=30

g=30/5

g=6

Answer:

D, g = -8

Step-by-step explanation:

5 (-8) - 6 => 24

-40 - 6 => 24

-46 is NOT greater than or equal to 24.

nadia made a model of the garage each edge of the real garbage is 4 times the length of the edge of the model which statement about volumes is true?

Answers

Pls give the statements provided :)

ANSWER ASAP!!
What is the surface area of the shaded front face of the composite solid?​

Answers

Answer:

break it in three rectangles!

let the rectangles be A B and C

For A = 4×2

For B 3× (4-2)

For C = 4×3

Total area 26cm²

Find the amount each consent would carry if the total amount carried (5 cups) was redistributed equally among all contestants.

Answers

Answer:

Step-by-step explanation:

Given that :

Total amount in cups of green Ooze = 5 cups

From. The dot plot ; The total number of contestants obtained by counting each dot on the plot is 10

Hence ; amout received by each contestants given equal distribution :

5 cups / 10 = 1/2 cups

1/2 cups per contestant.

A man works 6 hours overtime. His basic rate is $7.00 per hour. He is paid double time for overtime. What is his overtime pay

Answers

Answer:

His overtime pay is of $84.00.

Step-by-step explanation:

He is paid double time for overtime.

Basic rate of $7.00, overtime is double, so $7.00*2 = $14.00.

Worked 6 hours overtime:

So his overtime pay is:

$14.00*6 = $84.00

His overtime pay is of $84.00.

what is the longest line segment that can be drawn in a right rectanglular prism that is 14 cm long 13 cm wide and 10 cm tall

Answers

Question 965310: what is the longest line segment that can be drawn in a right rectangular prism that is 14 cm long, 13 cm wide, and 12 cm tall?
Answer by Fombitz(32379) (Show Source): You can put this solution on YOUR website!
From one corner to the furthest corner,
L%5E2=14%5E2%2B13%5E2%2B12%5E2
L%5E2=196%2B169%2B144
L%5E2=509
L=sqrt%28509%29

A cylinder and a cone have the same volume. The cylinder has radius x and height y . The cone has radius 1/2x . Find the height of the cone in terms of y .

Answers

Answer:

height = 1/4y

Step-by-step explanation:

V(cylinder) = πr²h

V(cone) = πr²h ÷ 3

V(cyl) = πx²y

V(cone) = π(1/2x)²y which simplifies to be πx²y ÷ 4

πx²y = πx²y ÷ 4

if you divide each side by πx² you get:

y = y/4

height is 1/4y

Pairs of markings a set distance apart are made on highways so that police can detect drivers exceeding the speed limit. Over a fixed​ distance, the speed R varies inversely with the time T. In one particular pair of​ markings, R 58 is mph when T is 7 seconds. Find the speed of a car that travels the given distance in 9 seconds.

Answers

Answer: [tex]45.11\ mph[/tex]

Step-by-step explanation:

Given

Speed R varies inversely with time T i.e.

[tex]R\propto \dfrac{1}{T}\\\\R=\dfrac{C}{T}\quad [\text{C=constant}][/tex]

when R=58 mph, T=7 s i.e.

[tex]58=\dfrac{C}{7}\quad \ldots(i)[/tex]

when T=9 s

[tex]R=\dfrac{C}{7}\quad \ldots(ii)[/tex]

Divide (i) and (ii)

[tex]\Rightarrow \dfrac{58}{R}=\dfrac{9}{7}\\\\\Rightarrow R=\dfrac{7}{9}\times 58\\\\\Rightarrow R=45.11\ mph[/tex]

need help in this question

Answers

Answer:

B) 9

Step-by-step explanation:

110 + 75 + 11x - 9 + 8x + 13 = 360

19x + 189 = 360

19x (+ 189 - 189) = 360 - 189

19x = 171

19x/19 = 171/19

x = 9

What is the surface area of the composite solid?


A rectangular prism with a length of 2 meters, width of 8 meters, and height of 2 meters. A rectangular prism with a length of 2 meters, with of 3 meters, and height of 11 meters.

Answers

Answer:

162 m^2

Step-by-step explanation:

Tops:  

 The area of the high top is 3*2 = 6

The area of the lower top is 5*2 = 10

                                                        --------

                                                           16

Bottom:

The area of the bottom is 8*2 =16

Back:

The area of the back is 2*11 = 22

Front:  

The top front is 9*2 =18

The bottom front is 2*2 =4

-------------------------------------------

                                           22

Sides

The area of the left side is

               vertical piece  11*3 =33

                 horizontal piece 5*2 = 10

                                                      -------------

                                                           43

The right side is the same = 33+10 = 43

Add them together

top+bottom+ back+front+left+right

16+16+22+22+43+43 =162 m^2

What is the area, in square units, of the shaded region? (nearest tenths place)

Answers

Answer:

169.6

Step-by-step explanation:

HELP PLEASEEEEEEE
Suppose x = 7 is a solution to the equation 4x – 2(x + a) = 8.
Find the value of a that makes the equation true.
-25
2
3
6

Answers

=> 4(7)–2(7+a)=8

=>28–142a=8=>14–2a=8=>-2a=8–14=>-2a=-6=>a=3

Which property or postulate is shown? If A=B and B=C, then A=C.
Subtraction Postulate
Symmetric Property
Transitive Property
Reflexive Property

Answers

This is the transitive property :)

Transitive property

A coffee roaster is designing a coffee can that can be modeled with a right cylinder for its new Breakfast Blend . Breakfast Blend costs the roaster $0.03 per cubic inch to produce. The roaster wants the can to contain an amount of coffee that will cost him no more than $7.50 to produce. Given that the height of the can is to be equal to its diameter, what is the maximum height allowable for the can? Round to the nearest tenth of an inch.

Answers

Answer: 6.8 inches

Step-by-step explanation:

Find the value of x

Answers

Answer:

use Pisagorth theormi

23²=18²+x²

x²=23²-18²

23²=529

18²=324

x²=205

so the x =√205

its nearly equal 14.3.....

Linda performed a computation using her calculator. The display on her calculator showed the answer as 6.1 E -4. Which numbers are equivalent to the number displayed in Linda’s calculator? Select all that apply.

Answers

Answer:c and f

Step-by-step explanation:

6.1E-4= 6.1 x 10^⁴ =0.00061

question in picture,
find all angles that satisfy the equation below. ​

Answers

the answer is 0 ur welcome!

Let A and B be the two non-right angles in a right triangle.

Answers

Answer:

Step-by-step explanation:

adjacent=5  ,hypotenuse13  opposite=?

hypotenuse^2=opposite^2+adjacent^2

13^2=opposite^2+5^2

169-25=opposite^2

[tex]\sqrt144[/tex]=opposite

12=opposite

SinA=opposite/hypotenuse

12/13

therefore sinA =`12/13

Brad and Don went to the mall together. Brad spent $18 on food. Don spent twice the amount of money that Brad spent.
a) Write an algebraic equation to express how much Don spent and solve the equation you made.
b) Brad's sister had gone to the mall the day before and spent 30% of what Don did. How much did she spend?
c) If the tax rate was 13% how much of what Don and Brad spent was for tax?

Answers

Answer:

a). x=18x2

        18x2=36

Don spent 36 dollars.

b). x=36x0.3

        36x0.3=10.8

Brad's sister spent 10 dollars and 80 cents.

c). 36+18=54

1.0-0.13 = 0.87

54x0.87=46.98

54-46.98=7.02

Don and Brad paid 7 dollars and 2 cents in tax.

Correctly order the steps to solve the equation below.
2(x + 5) + 3 = 4(x + 2) -11
= Use the distributive property on both sides
= "Undo" addition to isolate the variable term
= Identify and combine any like terms
= "Undo" multiplication to isolate the variable

Answers

Maybe the answer is x=8

Answer:

See below

Step-by-step explanation:

Solution

2(x + 5) + 3 = 4(x + 2) - 112x + 10 + 3 = 4x + 8 - 112x + 13 = 4x - 34x - 2x = 13 + 32x = 16x = 16/2x = 8

Order of operations

= Use the distributive property on both sides= Identify and combine any like terms= "Undo" addition to isolate the variable term= "Undo" multiplication to isolate the variable

The lengths of the legs of a right triangle are 8 inches and 9 inches. What is the length of the hypotenuse? Round to the nearest inch. Enter your answer in the box.

Answers

hyp^2 = 8^2 + 9^2
hyp^2 = 64 + 81
hyp^2 = 145
hot = 12 inch

The length of the hypotenuse in a right triangle is 12 inches.

What is the Pythagoras theorem?

The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagoras theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.

Given that, the lengths of the legs of a right triangle are 8 inches and 9 inches.

Let the length of the hypotenuse be x.

Here, x²=8²+9²

x²=64+81

x²=145

x=√145

x=12.04

x≈12 inches

Therefore, the length of the hypotenuse is 12 inches.

To learn more about the Pythagoras theorem visit:

brainly.com/question/21926466.

#SPJ6

Which diagram is NOT a good model of 1/5÷6?

Answers

Answer:

The circle one

Step-by-step explanation:

What you need to do is count the number of squares or slices it has and then count how Buchanan the chunk is divided into, should be 6

Answer: Lower left corner

==============================================================

Explanation:

Ignore the dashed smaller lines for now. The solid black vertical lines form 4 smaller equal pieces, and not 5. Each tickmark represents 1/4 and not 1/5

So if you wanted to represent a model for [tex]\frac{1}{4}\div 6[/tex], then you would use the lower left corner. However, we want that 1/4 to be 1/5 instead. So this is why the answer is the lower left corner.

Everything else is a correct model. We started dividing everything into 5 equal parts. Then we focused on one of those slices, and subdivided that slice into 6 equal parts. Imagine doing that for each slice and we should have 5*6 = 30 smaller pieces total. Hence [tex]\frac{1}{5} \div 6 = \frac{1}{5} \times \frac{1}{6} = \frac{1}{30}[/tex]

please help guys!!

2.
Recall that
lines never intersect. This is because they have the
same
and different
If their y-intercepts were also the
same, then the lines would
and intersect everywhere. Lines that intersect
to form right angles are called
. When we constructed perpendicular lines,
we
the points of a line 90 degrees. This is how the
angles were created. Algebraically, we say that the slopes are
reciprocals meaning that their slopes have opposite
and flipped
You can check by multiplying them. The
of negative
reciprocals is -1.
Word Bank:
negative
slope
perpendicular
rotated
product
overlap
right
parallel
signs
y-intercept
fractions

Answers

Answer:

and the question is? I'm confused

Write the function tan([tex]\frac{3\pi }{4} -x[/tex]) as an expression involving functions of x only

Answers

Step-by-step explanation:

[tex] \tan( \frac{3\pi}{4}- x) = \frac{ \tan( \frac{3\pi}{4} ) - \tan(x) }{1 + \tan( \frac{3\pi}{4} ) \tan(x)} [/tex]

Since tan(3pi/4) = -1

[tex] \tan( \frac{3\pi}{4}- x) = \frac{ - 1 - \tan(x) }{1 - \tan(x)} [/tex]

[tex] = \frac{ \tan(x) + 1}{ \tan(x) - 1} [/tex]

1. what is the exact demical value of 225/16?
2. what is the exact decimal value of 77/12?

Answers

Answer:

14.0625 = [tex]\frac{225}{16}[/tex]

6.41666666666... = [tex]\frac{77}{12}[/tex]

Hope that this helps!

Linda invested $12,500 in an
account that earns 4.5% interest,
compounded monthly. What is
the value of the account after
4 years? Round your answer to
the nearest cent.

Answers

Answer:

12500

Step-by-step explanation:

4.5 × 48=216.

12500 Plus 216= 12,716

The value of the invested money becomes $103393.20 after 4 years if the interest rate is 4.5% and compounded annually.

What is compound interest?

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

[tex]\rm A = P(1+r)^t[/tex]

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          t = How long the money is deposited or borrowed (in years)

We have in the question:

p = $12,500

r = 4.5% ⇒ 0.045

t = 4 years ⇒ 4×12 ⇒ 48 months

Put the above values in the formula, we get;

[tex]\rm A = 12500(1+0.045)^4^8[/tex]

A = 12500×8.27145

A = $103393.20

Thus, the value of the invested money becomes $103393.20 after 4 years if the interest rate is 4.5% and compounded annually.

         

Learn more about the compound interest here:

brainly.com/question/26457073

And the last part


Xxxxxxx

Answers

Answer:

(-1, -1)

Step-by-step explanation:

The previously obtained values of x and y are your coordinates, so you can just input them into the last part in the format (x, y).

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