Shani borrowed $5000 at an annual interest rate of 4% compounded yearly. William borrowed the same amount of money at an annual interest rate of 6% compounded yearly. How much more interest will William pay than Shani at the end of 3 years?

Answers

Answer 1

Answer: William will pay $ 330.76 more interest than Shani at the end of 3 years.

Step-by-step explanation:

Compound interest = [tex]P((1+r)^t-1)[/tex] , P= principal , r= rate of interest , t= time

Given: P = $5000 , t= 3 years

For Shani , r= 4% = 0.04

Compound interest = [tex]5000((1+0.04)^3-1)[/tex]

[tex]=5000(1.124864-1)\\\\=5000(0.124864)\\\\=\$\ 624.32[/tex]

For William, r= 6%= 0.06

Compound interest = [tex]5000((1+0.06)^3-1)[/tex]

[tex]=5000(1.191016-1)\\\\=5000(0.191016)\\\\=\$\ 955.08[/tex]

Difference = $ ( 955.08- 624.32)

= $ 330.76

Hence, William will pay $ 330.76 more interest than Shani at the end of 3 years.


Related Questions

Explain how to solve 2(x-1)=-200

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I attached the answer below. Please take a look. You're welcome.

Mr Martin has 120 CDs. The ratio of indie CDs to dance CDs is 5:7. How many of each type of CDs does he have.

Answers

Answer

Martin has 50 indie CDs and 70 dance CDs

Step-by-step explanation:

5+7=12 120/12 =10 10x5=50 and 10x7=70 So Martin has 50 indie cds and 70 dance CDs

(3,6)
(3,-3)
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Answer:

The slope is 3. Thats what my friend said

Step-by-step explanation:

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A is (-1,0) B is (0,-3) C is line of symmetry D is (3,0) E is (2,-3) F is (1, -4)

Determine the center and radius of the following circle equation: x^2+y^2-8x+6y-75=0 x 2 +y 2 −8x+6y−75=0 Center: \big(( , \big)) Radius:

Answers

Answer:

Compare x^2 +y^2-8x-6y=75 with the general circle equation x^2+y^2 -2ax-2by+c=0

-2a =-8 And -2b=-6

a=4 b=3

c=-75

To find the radius use the equation

r^2=a^2+b^2-c

r^2=4^2+ 3^2-(-75)

r^2=25+75=100

r=10(radius is always positive)

Hence the center is (4,3) and radius 10

Step-by-step explanation:

I’ll give brainlest if you get it right if wrong no brainlest

Answers

Answer:

2. Isosceles triangle

3. Isosceles triangle

4. Isosceles triangle

5. Equilateral triangle

6. Scalene triangle or Isosceles triangle

Step-by-step explanation:

Answer:

2) Isosceles triangle

3) Scalene Triangle

4) Scalene Triangle

5)  Equilateral Triangle

6) Isosceles triangle

Step-by-step explanation:

the image should help you

a line passes through the point (-6,-7) and has a slope of 5/2
Write an equation in slope intercept form for this line

Answers

Answer:

Draw a line of a givens point

What are the solutions of the equation (2x - 21 = 8?

Answers

Answer:

Exact Form: x= 29/2 ( the / is _ under 29)

Decimal form: x= 14.5

Mixed form: x= 14 1/2 ( the / is _ under 2)

                 

Step-by-step explanation:

Move all terms that don't contain

x

to the right side and solve.

I need help with this ASAP and can you explain so i can understand?!

Answers

Answer:

Adult tickets sold =  225

Student Tickets sold =  375

Step-by-step explanation:

Let:

Adult tickets sold = x

Student Tickets sold = y

Total tickets sold = 600

So, we can write: x+y = 600

Total money collected = 3037.50

Cost of 1 Adult ticket = $6.00

Cost of one Student ticket = $4.50

So, we can write: 6x+4.5y=3037.50

Now, we get a system of equations, that if solved we can find values of x and y

Let:

[tex]x+y = 600--eq(1)\\6x+4.5y=3037.50--eq(2)[/tex]

We can solve using substitution method.

Finding value of x from eq(1) and putting it in eq(2)

[tex]We\:have\\x+y=600\\x=600-y[/tex]

Put in eq(2)

[tex]6x+4.5y=3037.50\\6(600-y)+4.5y=3037.50\\3600-6y+4.5y=3037.50\\-1.5y=3037.50-3600\\-1.5y=-562.5\\y=\frac{-562.5}{-1.5}\\y=375[/tex]

So, we get value of y = 375

Now put value of y in eq(1) to find value of x

[tex]x+y=600\\Put\:y=375\\x+375=600\\x=600-375\\x=225[/tex]

So, we get value of x = 225

The Tickets sold will be:

Adult tickets sold = x = 225

Student Tickets sold = y = 375

If 5-x=3 then what is 3x^2

Answers

Answer:-

• Given:-

5 - x = 3

Solution:-

➪ 5 - x - 3 = 0

➪ 5 - 3 - x = 0

➪ 2 - x = 0

➪ 2 = x

Hence, x = 2

Now,

3x²

➪ 3 × (2)²

➪ 3 × 4

12

Therefore, 3x² will be = 12.

12,400 x one and one fifths. Will the product of this equation be less than or greater than 12,400? EXPLAINNNNN YOUR REASONING PLZZZZ

Answers

Answer:

The product of this equation will be greater than 12,400

Step-by-step explanation:

Make this an expression

12,400x1 1/5

Now, Solve this expression

-make 1 1/5 an improper fraction

12,400x 6/5

-multiply the numerators by the numerators and the denominators by the denominators... remember that a whole number's decimal is always 1

12,400/1 x 6/5

12,400x6= 74400

1x5=5

74400/5= 14880

Is 14880 less than or greater than 12400? It is greater.

CRÍTICAL THINKING Can you use the Product of Powers Property to
multiply 5^2 x 6^4 ? explain

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Answers

Answer:

The answer for that equation is 32400

Step-by-step explanation:

Answer:

No because their bases are not the same

Step-by-step explanation:

Who earns more per hour, and what is his or her pay rate?

Answers

It would be B because 34.50 divided by 3=11.50 which is more than Amina

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How to find a linear scale factor of two similar shapes joined together.

Answers

Answer:

7.5cm

Step-by-step explanation:

the method is shown above

what is the speed of a bowling ball that travels 100 meters in 5 seconds

Answers

20 meters per second or 20 mps

What number is 2/5 of 50

Answers

2/5 * 50

= 100/5
= 20
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İf 2/5 /50

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jada made 10 cups of blueberry jam and divided the jam equally among 6 containers. how much jam went into each container

Answers

Answer:

3/5 or 0.6

Step-by-step explanation:

i dont really get the question, but 6+4= 10.

SOMEONE HELP NOW IM ON A TIMED TEST
Margo's hybrid car uses 56 of a gallon of gas for every mile that Margo drives. Margo
drove her car 200 miles to visit her aunt. When she left her house the car's gas tank
was full. When she arrived at her aunt's house the gas tank contained 8 gallons of gas.
She did not stop for gas along the way.
Which equation represents the number of gallons of gas, y, in the car's tank after
Margo drives the car x miles?

Answers

Answer:

It is C

Step-by-step explanation:

The lifetime for a certain type of tre has been shown to be five years the mean) with a standard deviation of 6 months. In a normal distribution, what percentage of these tires will
last more than six years (more than two standard deviations above the mean)?

Answers

Answer:

2.28%

Step-by-step explanation:

mean = 5 years = 60 months

standard deviation = 6 months

X = number of years the tires will last

P = probability of ...

z = z-score

6 years = 72 months

z = (# of months - mean) / standard deviation

z = (72 - 60)/6

z = 12/6

z = 2

P(X > 72) = 1 - P(X < 72)

= 1 - P(z < 2)    

(using a Standard Normal Probabilities Table we can see that P(z < 2) = .9772)

So:

= 1 - .9772

= 0.0228 OR 2.28%

Write the slope-intercept form (y=mx+b) of the equation of the line through the given points.

through:
(0,3)(−4,5)

Answers

Step-by-step explanation:

General line equation: y = mx + c

When x = 0, y = 3. => (3) = m(0) + c, c = 3.

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y=-[tex]\frac{1}{2}[/tex]+3

Step-by-step explanation:

To write the equation of the line in slope-intercept form, first calculate the slope of the line (m)

m=[tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]

=[tex]\frac{5-3}{-4-0}[/tex]

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=-[tex]\frac{1}{2}[/tex]

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a.6x2
b.6x5
c.8x6

Answers

Answer:

A

Step-by-step explanation:

(2x2)3

= (4)3

=12

6x2 = 12

So the answer is A

A because
(2x2)3
^
(4)3
^
12

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At a bicycle shop, all the bicycles are on sale for $25 off the regular price. If p represents the regular price in dollars of a bicycle, which expression gives the sale price in dollars? 25p – 25p p – 25 p + 25

Answers

Answer:

p - 25

Step-by-step explanation:

Given :

Discount = 25 dollars off

Regular price = p

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Regular price - discount

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. Water in a 10 gallon tank is draining at a rate of 2 gallons per hour. Water in a separate tank is filling at a rate of 4 gallons per hour. How long until the tanks have the same amount of water?

Answers

Answer:

Step-by-step explanation:

Water in a 10 gallon tank is draining at a rate of 2 gallons per hour.

= 10 - 2x

Water in a separate tank is filling at a rate of 4 gallons per hour.

= 10 + 4x

Equating both Equations together

10 - 2x = 10 + 4x

10 - 10 = 4x - 2x

How long until the tanks have the same amount of water?

Let the time = x

M is a multiple of 26. Which of the following cannot be true?

A. M is odd
B. M is a multiple of 3
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D. M is zero

Answers

B. M is a multiple of 3

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Answers

Answer:

For an equation like:

y = a*x + b

a is the slope, and this is the rate of change of the function.

For the case of the problem, we know that the equation represents the amount of oxygen in the spaceship as a function of time. Where as the time passes, the quantity of oxygen decreases.

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2x - 4y = 9, What is it you need to know to be able to solve this problem?

Answers

Answer:

What X and Y equal to.

Answer:

you need to know math, and some more math. thats really the answer

Step-by-step explanation:

Write these amounts as ratios in the simplest form
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Answers

Step-by-step explanation:

75 cm =0.75 m

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1:2

Answer:

ratio 1 to 2

Step-by-step explanation:

first convert 75cm to m

which is equal to 0.75m

0.75/1.5 =1 /2

the answer is 1 to 2

Marie added 3 1/8 cup of all-purpose flour and 1/4 cup of whole wheat flour in the cake. She added 1/3 cup of sugar at also, how much flour she added in the cake ?

Answers

Answer:

3 [tex]\frac{3}{8}[/tex]

Step-by-step explanation:

Maria only combined two different types of flour to the cake. Therefore, in order to find the total amount of flour she added we need to add these measurements together. First, we need to find a common denominator. We do this by multiplying the numerator and denominator of the amount of whole wheat flour by 2. This would be the easiest way of giving us the same denominator as the measurement for the all-purpose flour.

[tex]\frac{1 * 2}{4 * 2}[/tex] = [tex]\frac{2}{8}[/tex]

Now that we have the same denominators we can simply add both measurements together

3 [tex]\frac{1}{8}[/tex] + [tex]\frac{2}{8}[/tex] = 3 [tex]\frac{3}{8}[/tex]

Sierra has a recipe she wants to make. She has to use eggs and sticks of butter. The ratio for these ingredients is 12 to 4 to make 4 batches. What will the equivalent ratio be if she wants to make 8 batches?

Answers

Answer:

24:8

Step-by-step explanation:

Given the following data;

Batch = eggs + sticks of butter

4 batches = 12:4

8 batches = 2 * 4 batches

Therefore, 8 batches = 2*(12:4)

8 batches = 24:8

Hence, the equivalent ratio Sierra would use if she wants to make 8 batches is 24 eggs to 8 sticks of butter.

Answer:

Step-by-step explanation:

the answer is 24:8

Please help! If you have any questions please just ask

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Genius can answer this okay don't worry

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