What is the resulting balance of $3,500 at 4% compounded annually for 8 years?

Answers

Answer 1

Answer:

$4,789.99

Step-by-step explanation:

Using the formula for calculating the compound interest

A = P(1+r)^t

P is the principal = $3500

r is the rate = 4% = 0.04

T is the time = 8 years

Substitute

A = 3500(1+0.04)^8

A = 3500(1.04)^8

A = 3500(1.3686)

A = 4,789.99

Hence the resulting balance is $4,789.99


Related Questions

Hello, happy Friday, I am just here with some geometry questions.


Please only answer this if you know the answer. If you have a comment, please add it to the comment box. Only answer the question if you can explain your answer and why you think it is accurate. Thanks, good luck!


Graph [tex]D_{0.5}[/tex] (ΔXYZ)

Answers

Answer:

Given triangle:

ΔXYZX(-1,2), Y(2,1), Z(-1, -2)

D₀.₅(ΔXYZ) results in:

(x, y) → (0.5x, 0.5y)X'(-0.5, 1), Y'(1, 0.5), Z(-0.5, -1)

use a calculator to evaluate the formula for x equals 639 round to the nearest hundredth if needed

P=0.23x+87​

Answers

233.97

Hope this helps!!!

I'm supposed to write out an algebraic equation, and then solve the equation. If you can help me, with work shown, you'll get voted Brainliest.

Find three consecutive even integers such that four times
the first minus the third is six more than twice the second.​

Answers

Answer:

simple just follow me and mark it brainliest

Step-by-step explanation:

LET THE THREE CONSECUTIVE EVEN INTEGERS BE

(x+2) ,(x+4) ,(x+6)

then

according to the question

4(x+2) (x+6) = 2(x+4) + 6

4x + 8 x 6= 2x + 8+6

3x +2 = 2x + 14

3x 2x= 14 2

x= 12

the numbers are

14

16

18

Answer:

The three numbers are 14, 16, 18.

Step-by-step explanation:

Consecutive even integers differ by 2.

You can let the smallest of the three numbers equal x. Then the other two numbers are x + 2 and x + 4.

Now use x, x + 2,and x + 4 to represent the 3 numbers and follow the directions to write an equation. The equation will have only one variable, x, so you can solve for x.

"four times the first" ----->   4x

"minus the third"   ------->    -(x + 4)

"is"  ----->     =

"six more than twice the second"   ------>    2(x + 2) + 6

Put all the pieces in boldface together to arrive at your equation.

4x - (x + 4) = 2(x + 2) + 6

Simplify the parentheses on both sides by distributing.

4x - x - 4 = 2x + 4 + 6

Combine like terms on both sides.

3x - 4 = 2x + 10

Subtract 2x from both sides.

x - 4 = 10

Add 4 to both sides.

x = 14

The smallest number is 14.

x + 2 = 14 + 2 = 16

x + 4 = 14 + 4 = 18

Answer: The three numbers are 14, 16, 18.

answer this fast plllsss tyyy

Answers

Answer:

6 curtains can be made

Step-by-step explanation:

so your dividing by a fraction so you want to convert all numbers into fractions

4/1 divided by 2/3

an easier way to divide fractions is to flip the right one over

2/3->3/2

then multiply

4/1 x 3/2 = 12/2 = 6

hope this helps have a blessed day

Answer:

6 curtains

Step-by-step explanation:

to figure out how many curtains she can make, we have to divide 4 by [tex]\frac{2}{3}[/tex].

[tex]\frac{4}{2/3}[/tex]

However, whenever you divide with fractions, you have to multiply by the reciprocal of the fraction.

[tex]\frac{4}{2/3}[/tex] ⇒ [tex]\frac{4}{1}[/tex] × [tex]\frac{3}{2} = \frac{12}{2} =6[/tex]

plz mark me brainliest. :)

For f(x) = x +6 and g(x) = 2x + 1, find the following.
a. (fog)(x)
b. (gof)(x)
c. (fog)(4)

Answers

Answer:

f(g(x)) = 2x + 7; g(f(x)) = 2x+13; f(g(4)) = 15

ABCD is a square and triangle DEF is equilateral. Triangle ADE is isosceles with AD=AE calculate size of angle AEF

Answers

Answer:

∠AEF  =  90°

Step-by-step explanation:

The size of angle AEF is given below:

Given that

ABCD is Square

CDF is a straight line

∠ADF = 90°

And triangle DEF is an Equilateral Triangle

So,

∠FDE = 60°

Now

∠ADE = 90° - 60°

= 30°

AD = AE

∠AED = 30°

∠DEF = 60°  because of an equilateral triangle  

Now

∠AEF  = ∠AED + ∠DEF

∠AEF  =  30° + 60°

∠AEF  =  90°

can anyone solve this for me?d/dx x/root (1+x^2)
ps. the 1+x^2 part is inside the root​

Answers

using quotient formula

For which real a is the following lim true?

Answers

Answer:

a=1

Step-by-step explanation:

Both for nominator and denominator, as the n goea to infinity only the gratest degree becomes meaningful. So that, 'a' must be equal to coefficient of n^4. So the answer is a=1.

PYTHAGOREAN THEORM PLEASE HELP ME
Would the three squares below join together to make a right triangle? Why or why not? picture shows squares

Answers

Answer:

Yes.

The first has an area of 9, so each side is three.

The second has an area of 16, so each side is four.

Each side of the third square is given as 5.

So the triangle has sides of 3, 4, and 5.

3²+4²=5²

9+16=25

25=25 It works given the Pythagorean theorem.

Step-by-step explanation:

Yes.

The first has an area of 9, so each side is three.

The second has an area of 16, so each side is four.

Each side of the third square is given as 5.

So the triangle has sides of 3, 4, and 5.

3²+4²=5²

9+16=25

25=25 It works given the Pythagorean theorem.

During the first week of winter, a business used 1/6 of a tank of heating oil. It used two times as much oil in the second week as it did in the first week. It used another 1/8 of a tank during the third week. A delivery of ½ tank was made at the end of the third week. The final fuel gauge shows a line between ½ and F. How much fuel did the business start with?

Answers

Answer:

The business started with 23/24 of their tank full

Step-by-step explanation:

Step 1.

Find the LCM of the denominators (2,6 and 8)

=24

Step 2.

Change all the fractions to have a denominator of 24

1/6=4/24

1/8=3/24

1/2=12/24

3/4= 18/24

Step 3.

Work backwards

18/24-12/24

=6/24+3/24

=9/24+(2×4/24)

=17/24+6/24

=23/24

In the art room there are a total of 42 paintbrushes. 30 are large and the rest are small. What is the ratio of small paintbrushes to the total? (in simplest form)​

Answers

Answer is 2/7 in simplest form

Use the distributive property to rewrite the expression in factored form.
15g−40

Answers

Answer:

5(3g-8)

Step-by-step explanation:

Answer:

5(3g-8)

Step-by-step explanation:

First find the greatest common factor of 15 and 40

It is 5 so              15/5 =3       40/5= 8

5(3g-8)

Help! Please please please

Answers

Step-by-step explanation:

3x+2x=180

5x=180

x=36°

Area of rectangle with length of 4/9 foot and width of 2 foot?

Answers

Answer:

A = 8/9

Step-by-step explanation:

Area of Rectangle = Length (Width)

A = lw

A = (4/9) (2)

A = (4/9) (2/1)

A = 8/9

How can systems of linear equations be used in real life?

Answers

Answer:

Almost any situation where there is an unknown quantity can be represented by a linear equation, like figuring out income over time, calculating mileage rates, or predicting profit. Many people use linear equations every day, even if they do the calculations in their head without drawing a line graph.

Step-by-step explanation:

Hope it is helpful....

How do flowers contribute to the survival of the plant?

A. They are needed to absorb water.

B. They are needed to make food.

C. They are needed for reproduction.

D. They are needed to create energy.

Answers

Answer: c

Step-by-step explanation:

A plant's ability to reproduce and contribute to the survival of its own species is assured when flowering occurs at the right point in time. If flowering starts too early, the result may be a poor crop of biomass as well as fruit.

C.They are needed for reproduction.

Solve 47-x^2=-2 plz I will give Brainlyest plz do lol

Answers

answer and explanation are in the picture.

47-x^2=-2 the answer is 7

the distance from Mayaro to Princes Town is 165 km . Palmyra is 50 km beyond Princes Town. How far is it from Mayaro to Palmyra

Answers

Answer:

Step-by-step explanation:

165km+50km=215km

Super Cars Rental Company charges $40 per day and $1.80 per mile to rent a car. ABC Rental Company charges $25 a day and $3 per mile. At how many miles is the cost the same for both companies?

Answers

Answer:

Step-by-step explanation:

-2+{3+[4+2-(-3)]-5+8)}​

Answers

Answer:

13

Step-by-step explanation:

−2+3+4+2−(−3)−5+8

=1+4+2−(−3)−5+8

=1+6−(−3)−5+8

=1+9−5+8

=10−5+8

=5+8

=13

hich statement best describes a graph of paired points that form a proportional relationship?

Answers

Answer:

A. A straight line can be drawn through all the points and the line passes through the point (0,0) .

Step-by-step explanation:

See comment for options

Given

A graph with proportional relationship

Required

Which of options (a to d) describes the graph

A graph with a proportional relationship is represented as:

[tex]y = kx[/tex] and

[tex](x,y) = (0,0)[/tex] is a paired point on the graph

This implies that options (b) and (c) are not true

Option (d) is also incorrect because if the graph does not pass through all points, then it is not proportional.

Hence, (a) is correct

write an expression to show how much longer the round trip to Las Vegas id than the round trip to cheyenne... Cheyenne round trip is 202 and Las Vegas round trip is 1498​

Answers

Answer:

GPS is access

Step-by-step explanation:

The inverse variation equation shows the relationship between wavelength in meters, x, and frequency, y.
y-
3x 108
x
What are the wavelengths for X-rays with frequency 3 x 10187
O 1x 10-10 m
O 3 * 10-10 m
O 3 * 1026 m
O 9 1026 m

Answers

Answer:

[tex]\lambda=10^{-10}\ m[/tex]

Step-by-step explanation:

Given that,

The frequency of x-rays, [tex]f=3\times 10^{18}\ Hz[/tex]

We need to find the wavelength for x-rays. The relation between wavelength, frequency and speed of light is given by :

[tex]v=f\lambda\\\\\lambda=\dfrac{c}{f}\\\\\lambda=\dfrac{3\times 10^{8}}{3\times 10^{18}}\\\\=10^{-10}\ m[/tex]

So, the wavelength for x-rays is [tex]10^{-10}\ m[/tex].

Answer:

1x 10-10 m

Step-by-step explanation:

7/8 - 1/12 its a math question

Answers

Answer:

19/24 = 0.791666667

Step-by-step explanation:

7/8 - 1/12

Least common multiple of 8 and 12 is 24. Convert 7/8 and 1/12 to fractions with denominator 24.

21/24 - 2/24

Since 21/24 and 2/24 have the same denominator, subtract them by subtracting their numerators.

21 - 2 / 24

Subtract 2 from 21 to get 19.

19/24

10 laps around track each day. Each lap around the track is 400 meters. How many day will take kali to run a total 12 kilometers

Answers

Answer:

3 days

Step-by-step explanation:

First, let's convert 400 meters to km (kilometers):

To find km from m we divide the meters by 1000:

400/1000 = 0.4

Therefore, there are 0.4 km in 1 meter.

Kali runs 10 laps every day, since 1 lap is 0.4 km we can multiply 10 by 0.4 to see how many kilometers they run in 1 day:

(10)(0.4) = 4

Kali runs 4 kilometers every day

Now, we can find how long it will take Kali to run a total of 12 kilometers by dividing 12 by 4

12/4 = 3

It will take Kali 3 days to run a total of 12 kilometers.

I hope this helps!!

- Kay :)

Enter the value for the variable x in the equation:
X - 7 = 3

Answers

Answer:

x=10

Step-by-step explanation:

10-7=3

Answer:

I think is 10 cause 10 - 7 = 3

Please help me with this question please help me I beg you

Answers

Step-by-step explanation:

Given

f(x) = 5 / 2x - 1

f^-1( x) = ?

Let

y = f(x)

y = 5/2x - 1

Interchanging the roles of x and y we get

x = 5/2y - 1

2y - 1 = 5/x

2y = 5/x - 1

y = (5/x - 1)/ 2

f^-1(x) = ( 5/x - 1) / 2

Hope it will help :)

Please help me with these two questions

Answers

Answer:

the gradient is the same= 4

the y intecept is different, one is positive 1 and the other is negative 3

Dominic is going to attend a baseball game on Saturday afternoon. He has a total of $40 he can spend. The ticket cost is $22, and the parking cost is $7. He intends to spend his remaining money on team window decals that cost $4.50 each. What is the greatest number of decals Dominic can buy? A 2 decals B 3 decals C 4 decals D 5 decals

Answers

Answer: A. 2 Decals

Step-by-step explanation: time4learning

The requried Dominic can buy a maximum of 2 decals.

What is simplification?

Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve.

Dominic has $40 to spend, and he will spend $22 for the ticket and $7 for the parking. So, he will have:

$40 - $22 - $7 = $11

left to spend on team window decals.

Each decal costs $4.50, so we can divide the amount Dominic has left by the cost of each decal to find the maximum number of decals he can buy:

$11 ÷ $4.50 ≈ 2.44

Since we can't buy a fraction of a decal, we need to round down to the nearest whole number. So, Dominic can buy a maximum of 2 decals.

Therefore, the answer is A, 2 decals.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

the lenght of rectangle is 2 times its width and the perimeter of the rectangle is 60cm . then the lenght is​

Answers

Answer:

Step-by-step explanation:

L = P/2 - w

Let's suppose the length to be x then width = 2x and perimeter = 60

60/2 - 2x

L = 30 - 2x

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