What is the value of a $500 investment with a 9% interest rate that is compounded monthly for 3 years?

HELP OMG BRU

Answers

Answer 1

Answer:

$654.32 (to the nearest cent)

Step-by-step explanation:

Compound interest is based on the principal amount and the interest that accumulates on it in every period.

Monthly Compound Interest formula:

[tex]CI = P(1 + (\frac{r}{n} ))^{nt} - P[/tex]

where:

P = principal amount

r = annual interest rate (as a decimal)

n = frequency or number of times the interest is compounded annually

t = overall tenure in years

So for this problem:

P = 500

r = 9 ÷ 100 = 0.09

n = 12

t = 3

Therefore,  

Compound Interest = [tex]P(1 + (\frac{r}{n} ))^{nt} - P[/tex]

                                = 500 x (1 + (0.09/12))^(12 x 3) - 500

                                = 500 x (1.0075)^36 - 500

                                = 154.3226855

So the value of the $500 investment = principal amount + compound interest

= 500 + 154.3226855

= $654.32 (to the nearest cent)


Related Questions

What is 450x450=?
answer

Answers

Answer:

202500

Step-by-step explanation:

450x450=202500

Jenny jogs every five days and Shannon jogs every six days. They both started jogging on Tuesday of this week. When will they both jog again on the same day? What day of the week will it be?

Answers

if both of them continue to jog at same rate of days, they will end up jogging again on FRIDAY

if a 12 ounce box of cereal costs $3.84, how many ounces should be in a box marked $2.49?
answer quick I will mark brainliest..

Answers

Answer:

7.78 ounces

Step-by-step explanation:

We know that:

12 ounce box of cereal = $3.84

Work:

12/3.84 ounce box of cereal = $1=> 12/3.84 x 2.49 box of cereal = $2.49=> 7.78 ounces (Rounded to nearest hundredth) = $2.49

Hence, 7.78 ounces cost $2.49.

7.8125 ounces

Step-by-step explanation:

Based on given conditions,

[tex] \frac{2.49 \times 12}{3.84} \\ = > \frac{ \frac{249}{100} \times 12 }{ \frac{384}{100} } [/tex]

[tex] = > \frac{ \frac{249}{25} \times 3 }{ \frac{96}{25} }[/tex]

[tex] = > \frac{249}{25} \times 3 \times \frac{25}{96}[/tex]

[tex] = > 83 \times 3 \times \frac{1}{32} [/tex]

[tex] = > \frac{83 \times 3}{32} [/tex]

[tex] = > \frac{249}{32}[/tex]

[tex] = > 7.78125ounces[/tex]

By rounding off,

[tex] = > 7.9ounces[/tex]

can someone help me on math i cant fail

Answers

Answer:

A)16

Step-by-step explanation:

Explanation is in the image above.

Hope this helps please mark me brainiest

Jeremy can run 2 miles in 3/4 hours. At this rate, how many miles can he run in 5 hours

Answers

Answer:

1.875 hours

Step-by-step explanation:

easier way

2 miles in 3/4 hours

so

2 miles / .75 hours = 5 miles / x hours

solve for x

(5*.75)/2 = x

x=1.875

or

harder way

you could turn hours into minutes

2 miles in 45 mins

so

2 miles / 45 mins = 5 miles / x mins

solve for x

(5*45)/2 = x

x= 112.5 mins

but they want answer in hours so turn mins into hours by diving by 60

112.5/60 = 1.875 hours

Can you help me with this plz

Answers

Hello there

Please check attached image for answer.

Hope it helps ...

~ Benjemin360

8. A scale drawing of a rose is 3 inches long. The actual rose is 1.5 feet tong.

b. What is the scale factor of the drawing?

Answers

Answer: 2

Step-by-step explanation: 2x1.5=3

Pls help!!!!
Slope = -1/6; (12,-2)

Answers

Answer:

y= -1/6x

Step-by-step explanation:

Slope Intercept Formula

y=mx+b

-2= -1/6(12) +b

-2= -2+b

b= 0

y= -1/6x

A theater group is made up of 21 girls and 24 boys. Fifteen of the girls and 12 of the boys are also in a photography club.

What percent of the theater group is also in the photography club?

Answers

Answer:

60%

Step-by-step explanation:

There are a total of 45 people 24 boys and 21 girl=45

27 of them are in the club 27 out of 45=60%

please help? :( Thanks in advance

Answers

The correct it is proportional

Answer: Proportional!

Step-by-step explanation:

1.8/7.2=0.25

0.4/1.6=0.25

0.25=0.25

Find ij i need help with this

Answers

Answer:

IJ is going to be 5400.

Step-by-step explanation:

60*90= 5400.

90 is the right angle on J.

I is 60 degrees.


A factory made 42 packs of mint-flavored gum and 58 packs of fruit-flavored gum. What
percentage of the packs contained mint gum?
PLEASE ANSWER I GIVE ALOT OF POINT I PINKY SWEAR AND I NEED THE FOR A A+ please

Answers

Answer:

42%

Step-by-step explanation:

Total number of packs:

42 + 58 = 100

Find the percentage of packs with min gum:

42/100*100% = 42%

--Marking Brainliest whoever answers this first, please hurry

A neighborhood is having a community garage sale, where all items cost the same amount. If you buy 7 items, the price is $2.45, and if you buy 11 items, the price is $3.85. If you graphed the relationship between x, the number of items sold, and y, the total price in dollars, what would be the slope of the line?

Answers

The slope of the line is 0.35

x = number of items sold

y = total price in dollars

Therefore,

using slope formula,

The slope is rise over run. The slope of a line is the measure of its steepness.

Slope equation:m = y₂ - y₁ / x₂ - x₁

where

y₂ = 3.85

y₁ = 2.45

x₂ = 11

x₁₁ = 7

Therefore,

m = 3.85 - 2.45 / 11 - 7

m = 1.4 / 4

m = 0.35

learn more on slope here; https://brainly.com/question/24911901

PLEASE HELP IM STRUGGLING

Answers

Answer:

1)2x -y+2=0

2)-x +4y +8 = 0

Step-by-step explanation:

Here two equations are given to us and we need to write them in Standard form . The given equations are linear equation in two variables and their Standard form is ,

[tex]\implies ax + by + c = 0 [/tex]

Where a , b and c are constants .

1) y - 4 = -2(x +3)

Open the brackets on RHS ,

[tex]\implies y - 4 = -2x -6 [/tex]

Transpose all the terms to LHS ,

[tex]\implies 2x - y -4 +6 = 0[/tex]

Add the constant terms ,

[tex]\implies \boxed{ 2x - y +2 =0} [/tex]

Hence the equation in standard form is 2x -y +2=0.

2) y = ¼x -2

Add 2 on both sides ,

[tex]\implies y + 2 = \dfrac{1}{4}x [/tex]

Multiply both sides by 4 ,

[tex]\implies 4y +8 =x [/tex]

Subtract x on both sides,

[tex]\implies \boxed{ -x + 4y + 8 =0}[/tex]

Hence the equation in standard form is -x +4y +8=0 .

BRAINLIEST TO WHOEVER ANSWERS QUICKEST AND IS RIGHT.

Answers

anaalyze the problem

first term: -1

common difference: +9 (8-(-1) is 9)

so, an=-1+9n-9

answer is an=9n-10, with n bigger or equal to one

sixth term,plug in 9(6)-10=54-10=44

tenth term, plug in 9(10)-10=90-10=80

Evaluate h(x)=-2x+9 when x=-2,0, and 5 .

h(-2)=

h(0)=

h(5)=

Answers

Answer:

The answer is 5, 9 and (-1) when x = 2, 0 and 5 respectively

Step-by-step explanation:

Given; we are given an equation (-2x + 9)Where, x = 2, 0 and 5

Now,

h(x) = -2x + 9

For x = 2

h(2) = -2(2) + 9

h(2) = -4 + 9

h(2) = 5

For x = 0

h(0) = -2(0) + 9

h(0) = 0 + 9

h(0) = 9

For x = 5

h(5) = -2(5) + 9

h(5) = -10 + 9

h(5) = -1

Thus, The answer is 5, 9 and (-1) when x = 2, 0 and 5 respectively

 

-TheUnknownScientist 72

Find the area of the triangle.
8
10-
square units

Answers

Answer:

b=10

h=8

area of triangle=1/2b×h

=1/2×10×8

=40

hope it helps you

make me brainliest plz

Answer:

40 units²

Step-by-step explanation:

Formula to find the area of a triangle is :

Area = [tex]\frac{1}{2}[/tex] × base × height

Given that,

Base = 10 units

Height = 8 units

Let us solve now.

Area = [tex]\frac{1}{2}[/tex] × base × height

Area = [tex]\frac{1}{2}[/tex] × 10 × 8

Area = [tex]\frac{1}{2}[/tex] × 80

Area = 40 units²

Hope this helps you :-)

Let me know if you have any other questions :-)

what is the name of the point where the sides of an angle intersect

Answers

Answer:

vertex

Step-by-step explanation:

The rays that form an angle intersect at the vertex of the angle.

65%. persent of 120 students ate pizza for lunch how many student's ate pizza​

Answers

0.65 is equivalent to 65%.

0.65 of 120 is the same as
0.65 x 120.

0.65 x 120 = 78.

So, 78 students ate pizza.

.65 * 120 = 6.5 * 12 = 65 * 1.2 = 65 + 13 = 78 students ate pizza

double check

78 / 120 = 0.65

please give brainliest

HELP ME ASAP! Please

Answers

Answer:

3 hours

Step-by-step explanation:

What is the value of x for the following equation? 1/4x-1=3/4x-5
A. x=12
B .x=2
C. x=8

Answers

Answer:

c. x = 8

Step-by-step explanation:

C. x=8 is the correct answer.

i need to solve this please

Answers

Answer:

[tex]\frac{3x-4}{4} =\frac{7x}{3} +2\\\\\frac{3x-4}{4}=\frac{7x+6}{3} \\\\3(3x-4)=4(7x+6)\\9x-12=28x+24\\-28x+9x=24+12\\-19x=36\\x=-\frac{36}{19}[/tex]

Step-by-step explanation:

Hope it will help you a lot.

You’re answer will be x= -39/19

Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis. (tried this question a lot and I am just missing something)(plz help)

x = −3y2 + 9y − 6, x = 0

Answers

The expression on the left side describes a parabola. Factorize it to determine where it crosses the y-axis (i.e. the line x = 0) :

-3y² + 9y - 6 = -3 (y² - 3y + 2)

… = -3 (y - 1) (y - 2) = 0

⇒   y = 1   or   y = 2

Also, complete the square to determine the vertex of the parabola:

-3y² + 9y - 6 = -3 (y² - 3y) - 6

… = -3 (y² - 3y + 9/4 - 9/4) - 6

… = -3 (y² - 2•3/2 y + (3/2)²) + 27/4 - 6

… = -3 (y - 3/2)² + 3/4

⇒   vertex at (x, y) = (3/4, 3/2)

I've attached a sketch of the curve along with one of the shells that make up the solid. For some value of x in the interval 0 ≤ x ≤ 3/4, each cylindrical shell has

radius = x

height = y⁺ - y⁻

where y⁺ refers to the half of the parabola above the line y = 3/2, and y⁻ is the lower half. These halves are functions of x that we obtain from its equation by solving for y :

x = -3y² + 9y - 6

x = -3 (y - 3/2)² + 3/4

x - 3/4 = -3 (y - 3/2)²

-x/3 + 1/4 = (y -  3/2)²

± √(1/4 - x/3) = y - 3/2

y = 3/2 ± √(1/4 - x/3)

y⁺ and y⁻ are the solutions with the positive and negative square roots, respectively, so each shell has height

(3/2 + √(1/4 - x/3)) - (3/2 - √(1/4 - x/3)) = 2 √(1/4 - x/3)

Now set up the integral and compute the volume.

[tex]\displaystyle 2\pi \int_{x=0}^{x=3/4} 2x \sqrt{\frac14 - \frac x3} \, dx[/tex]

Substitute u = 1/4 - x/3, so x = 3/4 - 3u and dx = -3 du.

[tex]\displaystyle 2\pi \int_{u=1/4-0/3}^{u=1/4-(3/4)/3} 2\left(\frac34 - 3u\right) \sqrt{u} \left(-3 \, du\right)[/tex]

[tex]\displaystyle -12\pi \int_{u=1/4}^{u=0} \left(\frac34 - 3u\right) \sqrt{u} \, du[/tex]

[tex]\displaystyle 12\pi \int_{u=0}^{u=1/4} \left(\frac34 u^{1/2} - 3u^{3/2}\right)  \, du[/tex]

[tex]\displaystyle 12\pi \left(\frac34\cdot\frac23 u^{3/2} - 3\cdot\frac25u^{5/2}\right)  \bigg|_{u=0}^{u=1/4}[/tex]

[tex]\displaystyle 12\pi \left(\frac12 u^{3/2} - \frac65u^{5/2}\right)  \bigg|_{u=0}^{u=1/4}[/tex]

[tex]\displaystyle 12\pi \left(\frac12 \left(\frac14\right)^{3/2} - \frac65\left(\frac14\right)^{5/2}\right) - 12\pi (0 - 0)[/tex]

[tex]\displaystyle 12\pi \left(\frac1{16} - \frac3{80}\right) = \frac{12\pi}{40} = \boxed{\frac{3\pi}{10}}[/tex]

the simplication of log​

Answers

Answer:

6

Step-by-step explanation:

[tex] log_{2}(16) + log_{2}(4) [/tex]

Remebrr that

[tex] log_{a}(b) + log_{a}(c) = log_{a}(bc) [/tex]

[tex] log_{2}(16) + log_{2}(4) = log_{2}(64) [/tex]

We get

[tex] log_{2}(64) [/tex]

[tex] = 2 {}^{x} = 64[/tex]

[tex]x = 6[/tex]

calculate the relative change in tbe monthly cost of eggs from $1.65 to $2.37

Answers

$0.72 i hope this helps

Evaluate x2 + 12, when x = 3

Answers

Answer:

18

Step-by-step explanation:

x = 3

2(3) + 12

6 + 12

18

Helga teaches dance classes. She charges for the classes as shown below. Option 1: $80 per month for five classes Option 2: $900 per year for 60 classes Option 3: $174 for 12 classes Calculate the constant of proportionality for each class. Then select the true statements below. Option 1 and option 3 cost the same amount per class. Option 3 costs the least amount per class. Option 2 and option 3 cost the same amount per class. Option 1 costs $1 more per class than option 2 costs per class. Option 3 costs $1 more per class than option 1 costs per class.

Answers

Answer:Option 3 costs the least amount per class.

Option 1 costs $1 more per class than option 2 costs per class.

Step-by-step explanation:blah blah blah

Using the constant of proportionality that is determined, the true statements are:

B. Option 3 costs the least amount per class.

D. Option 1 costs $1 more per class than option 2 costs per class.

How to Find Constant of Proportionality?

The constant of proportionality, k, between variables y and x is, k = y/x.

Amount = y

Number of classes = x

Constant of proportionality = y/x.

Option 1:

Constant of proportionality = 80/5 = $16 per class

Option 2:

Constant of proportionality = 900/60 = $15 per class

Option 3:

Constant of proportionality = 174/12 = $14.5 per class

The lowest cost per class is Option 3.

Option 1 is $1 more costlier than Option 2.

Learn more about constant of proportionality on:

https://brainly.com/question/1835116

#SPJ6

Round 8,162 to the nearest thousand​

Answers

Answer:

8,000 :D

Step-by-step explanation:

Answer:

8,000

Step-by-step explanation:

Since the 1 in the hundreds place isn't five or higher we round the number down.

7,11,2,18,-7,?

What is the missing pattern?

Answers

Answer:

-11 will be the answer.

Step-by-step explanation:

the pattern 7,11,2,18,-7,? is a repeating pattern but at the end the number is changed to -7 so if you go and check the Identity, if the order of number given is ascending ( smaller to larger number) or descending ( larger to smaller number), Calculate the differences between those that are next to each other. Estimate the difference between numbers to calculate the missing number.

A sequence is a list of things in which repeats are permitted and order is important. The last term of the missing pattern is 57.

What is a sequence?

A sequence is a list of things in which repeats are permitted and order is important. It has members, just like a set. The length of the sequence is defined by the number of items.

In the given sequence, the difference between the first two-term is 4, while in the next two-term is 16(4²), Therefore, in the next two-term, the difference between the two terms will be equal to 64(4³).

Therefore, the last term will be,

[tex]x-(-7)=64\\\\x+7=64\\\\x=64-7\\\\x=57[/tex]

Hence, the last term of the missing pattern is 57.

Learn more about Sequence:

https://brainly.com/question/21961097

Find the location of X, the midpoint of WY

Answers

Answer:

X is the midpoint of the line wxy

The length of XY is 17 units.

Used the concept;

A mid-point of a line segment;

Divide it into two equal segmentsEach segment is half the length of it

Since, X is the mid-point of WY

Hence, WX = XY

And, WX =  WY and XY =  WY

Here, we have;

WX = 3x - 1

WY = 10x - 26

So, By using the rule WX =  WY

3x - 1 =  (10x - 26)

Simplify the right-hand side

3x - 1 = 5x - 13

Add 1 to both sides

3x = 5x - 12

Subtract 5x from both sides

- 2x = -12

Divide both sides by -2

x = 6

Since, XY = WX

And, WX = 3x - 1

So, XY = 3x - 1

Substitute the value of x in the expression of XY

XY = 3(6) - 1

XY = 18 - 1

XY = 17 units

So, The length of XY is 17 units

To learn more about the line segment visit:

https://brainly.com/question/280216

#SPJ3

The correct and complete question is,

If X is the midpoint of WY, WX = 3x - 1 and WY = 10x – 26, find XY.

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