If $1209 is deposited in an account that pays 8. 2% interest compounded monthly, what is the balance after 26 years? Use: A=P(1+r)t
Round to the nearest cent

Answers

Answer 1

Answer:

Step-by-step explanation:

We can use the interest equation (mind you it is the same thing as said in the problem) to solve this:

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

Where A is the resulting amount, r is the interest rate, n is the number of times compounded per year and t is the time.

[tex]A=1209(1+\frac{.082}{12} )^{12*26}[/tex]

A = $10,120.29


Related Questions

given triangle, ABC is congruent to triangle EDC find A

Answers

Answer:

m<A = 30 degrees.

Step-by-step explanation:

m < C in triangle ABC = m < C in EDC so

x + 13 + 42 + x + 13 = 180

2x = 180 - 13 - 13 - 42

2x = 112

x = 56.

So m < C = 56+13 = 69.

m < B = m < D = 81

M < A = 180 - 69 - 81

= 180 - 150 = 30.

how do you do thissss???

Answers

The solid above is a triangular prism. Therefore, the surface area of the triangular prism is 157.2 cm².

How to calculate surface area

The figure above is a triangular prism. The surface area of a triangular prism can be calculated as follows:

Surface area = bh + l(p)

where

p = perimeter of the triangular basel = height of prismb = base of the triangular baseh = height of the triangular base

Therefore,

p = 6 + 6 + 6 = 18 cm

l = 7 cm

b = 6 cm

h = 5.2 cm

Therefore,

Surface area = (6 × 5.2) + 7(18)

Surface area = 31.2 + 126

Surface area = 157.2 cm²

learn more on surface area here: https://brainly.com/question/2835293

PLEASE HURRY!
A bag of tokens contains 5​​ red, 10​​ green, and 8​ blue tokens. What is the probability that a randomly selected token is red and green? Enter your answer as a fraction.

Answers

Answer:

50/529

Step-by-step explanation:

Total: 5 + 10 + 8

= 23

P(A and B) = P(A) x P(B)

P(A and B) = 5/23 x 10/23

P(A and B) = 50/529

Can some please explain and solve how to do these unit rate equations?

Answers

Explaining question 7. You first need to know how many she can learn in 1 week so you divide 10 by 2 meaning in 1 week she can learn 5 recipes. Then you just multiply that by 5 weeks so it would be 25 recipes in 5 weeks. The rest of the questions have the same idea.

What is the area and perimeter? Show your work

Answers

Answer:

area = 6

perimeter = 12

Step-by-step explanation:

area:

1.8+3.2 = 5

5*2.4 = 12

12/2 = 6

perimeter:

3+4+1.8+3.2 = 12

Find the volume of the sphere. Round your answer to the nearest tenth.
Use 3.14 for it.
A sphere has a diameter of 3.8 centimeters.
The volume of the sphere is about
cm3
HELP ME PLS

Answers

Answer:

Step-by-step explanation:

Remark

You are given the diameter but the formula uses the radius. So your first job is find the radius. Then you use this value in the formula to find the volume. Substitute

Givens

pi = 3.14

d = 3.8

r = d/2

r = 3.8/2 = 1.9

Formula

V = (4/3) * pi * r^3

Solution

V = (4/3) * 3.14 * 1.9^3

V = 4/3 * 3.14 * 6.859

V = 28.7163

What happened to rectangle A to become rectangle B in the diagram below?

dilated and then translated
dilated and then rotated 270°
dilated and then reflected
dilated and then rotated 90°

Answers

Answer:  Dilated and then translated

Step-by-step explanation:

Answer:

dilated and then translated

Step-by-step explanation:

Rectangle A has been enlarged (dilated) and then translated up and to the right.

Factor the expression 20x + 12y - 28

Answers

Answer:

[tex]\boxed{\sf{4(5x+3y-7)}}[/tex]

Step-by-step explanation:

It is necessary to find the factors and solve them using their expressions in order to solve this problem.

20x+12y-28

7*4=28

3*4=12

5*4=20

Rewrite the problem down.

5*4x+3*4y+7*4

Solve.

Common term of 4.

4(5x+3y-7)

Therefore, the final answer is 4(5x+3y-7).

I hope this helps you! Let me know if my answer is wrong or not.

hello!

[tex]========================================[/tex]

In order to factor this expression, we should factor out the common term (divide all terms in the polynomial by the common term)

In this case, the common term is

4

Note:- Usually, we factor out the G.C.F. (Greatest Common Factor)

So here, the G.C.F. is 4.

Why 4? Because in this trinomial (a polynomial with 3 terms) all 3 terms are divisible by 4.

So divide all the terms

5x

3y

-7

Put 4 outside the parentheses:

4(5x+3y-7)

Is the trinomial in its simplest form? Sure!

Hence, we are done! :)

[tex]================================[/tex]

note:-

Hope everything is clear; if you need any more clarification/explanation, kindly let me know, and I will comment and/or edit my answer. :)

Help me on this question please!

Answers

Answer:

1/5

Step-by-step explanation:

Arrange the numbers from smallest to largest...the median is the one in the middle of the list

-12/4   - 2.5    1/5    18/5    10       the middle is 1/5

The length of a rectangle is 12 feet more than twice the width. If the area is 320 square feet, what is the length? What is the width?

Answers

Answer:

Length of rectangle is 32 feet and width is 10 feet

Step-by-step explanation:

Given,

The length of a rectangle is 12 feet more than twice the width and area is 320 square feet

Let's assume, width of rectangle x feet and length of the Rectangle be 12 + 2x respectively. To Calculate the length and width of rectangle we'll use the formula of area of rectangle:

[tex] \\ \star \: { \underline{ \boxed { \pmb{ \sf{ \purple{Area _{(rectangle)}= Length \times width}}}}}} \\ \\ [/tex]

Substituting the required values:

[tex]\dashrightarrow \sf \: \: \: \: (12 +2x) (x) = 320 \\ [/tex]

[tex]\dashrightarrow \sf \: \: \: \: 12x + 2x^2 = 320 \\ [/tex]

[tex]\dashrightarrow \sf \: \: \: \: 12x + 2x^2- 320 = 0 \\ [/tex]

[tex]\dashrightarrow \sf \: \: \: \: 2x^2 + 12 - 320 = 0 \\ [/tex]

[tex]\dashrightarrow \sf \: \: \: \: 2(x^2 + 6x - 160) = 0 \\ [/tex]

[tex] \dashrightarrow \sf \: \: \: \: 2(x^2 + 16x - 10x - 160) = 0 \\ [/tex]

[tex]\dashrightarrow \sf \: \: \: \: 2(x - 10)(x + 16) = 0 \\ [/tex]

[tex]\dashrightarrow \: \: \: \: \underline{ \boxed{ \purple{ \pmb{ \rm{ x = 10 \: or \: -16}}}}} \\ [/tex]

Hence,

Width of rectangle = x = 10 feet Length of rectangle = 12 + 2x = 12 + 2(10) = 32 feet

[tex]~[/tex]

[tex] \underline{\therefore{ \pmb { \frak{Length \: and \: width \: of \: rectangle \: is \: 32 \: and \: 10 \:ft}}}}[/tex]

please ifs due today!!

Answers

Y = -2x + 5
-1: -2(-1) + 5 = 9
1: -2(1) + 5 = 3
3: -2(3) + 5= -1
5: -2(5) + 5= -5

Plot these coordinates on the graph
(-1,9)
(1,3)
(3,-1)
(5,-5)
If the line is straight then it’s linear
If the line has a constant of proportionality the it’s proportional

Solve each pair of simulation equation. Multiply one equation by suitable numbers before adding/substracting to eliminate.
A) 2x+ 3y =11
x+ y = 4





B) 4x + 3y =-12
2x - y = 4​

Answers

Answer:

A) x = 4, y = 3.

B. x = 0, y = -4.

Step-by-step explanation:

A) 2x+ 3y =11 .........(a)

x+ y = 4.......(b)

Multiply equation (b) by 2:

2x + 2y = 8

Subtract this from equation (a):

y = 11-8 = 3.

Substitute y = 3 into equation (a):

2x + 3*1 = 11

2x = 11 - 3 = 8

x = 4.

B) 4x+ 3y = -12

   2x - y= 4

Multiply second equation by 2:

4x - 2y = 8

Subtract this from first equation:

3y - (-2y) = -12 - 8

5y = -20.

y = -4.

Substitute y = -4 into equation 1:

4x + 3*(-4) = -12

4x = -12 + 12 = 0

x = 0.

The ratio of the measures of the sides of a triangle is 2:11:15. If the perimeter of the triangle is 168 inches, find the length of the longest side.

Answers

Answer: 90

Step-by-step explanation:

Let the sides have lengths 2n, 11n, and 15n.

Since the perimeter is 168, 2n+11n+15n=168, meaning that n=6.

So, the longest side is 15(6)=90 inches.

What is the measure of angle x?

Enter your answer in the box

Answers

Answer:

x = 83°

Step-by-step explanation:

There are 6 angles, 3 pairs of vertical angles that sum to 360°.

Set below equation and solve for x:

2(41° + 56° + x) = 360°97° + x = 180°x = 180° - 97°x = 83°

Opposite angles are equal and linear pairs are supplementary

x+56+41=180x+97=180x=180-97x=83°

What is 170.6% of 366?

Answers

Answer:

624.396

Step-by-step explanation:

I did the math myself XD

On a circle of radius 10 feet, what angle would subtend an arc of length 6 feet?

Answers

Answer:

34.38 (rounding to the nearest hundredth)

Step-by-step explanation:

I have my work linked below, but I used to arc length formula and plugged in all known numbers. Then solved for x which will be the angle you are looking for. Hope this helps!

On a circle of radius 10 feet,  34.37° angle would subtend an arc of length 6 feet.

How to find the length of an arc?

The length of an arc formula is represented as follows

The length of arc = Ф / 360 × 2πr

where

Ф = angle, r = radius

It is given that circle of a radius of 10 feet,

The length of arc = 6 ft

Therefore,

6 = Ф / 360 × 2 × 3.14159 × 10

6 = 62.8318Ф / 360

360 x 6 =  62.8318Ф

Ф = 360 x 6 / 62.8318

Ф = 34.3784

Ф ≈ 34.37°

Learn more about the length of the arc ;

https://brainly.com/question/2899332

#SPJ4

What are the prime numbers between 2010 and 2020

Answers

Answer: 99%

Step-by-step explanation:

this polygon has an area of 72 square centimeters what is the height of the parallelogram​

Answers

Polígono is the height of pállelos gran

Find the volume of the given figure. Round your answer to the nearest tenth. See picture for full problem. Please and thank you so much!(:

Answers

Answer:

146.7

Step-by-step explanation:

The equation for finding the volume of a pyramid is [tex]V = \frac{l w h}{3}[/tex].
For this pyramid, the height is 8, the width is 5, and the length is 11.
[tex]\frac{11x5x8}{3}[/tex]=146.67
146.67 rounded to the nearest tenth = 146.7.

? need in a day or 2 please! Is worth 23 points and brainiest!

Answers

The answer is 60 feet.

Step by step explanation:

The area of a triangle is Area= base x height divided by 2.

Solve for the base:
Base= 2* area/ height and plug in the data:

Base= 2* 600/20

Final answer:
Base: 60 feet.

Answer:

60 feet

Step-by-step explanation:

The easiest way to do this is to go answer by answer with the triangle area formula :)

Formula: A=hb/2

H = height

B: base

Now lets solve this :)

Choice 1: 50 feet

50 x 20 = 1000

1000/2 = 500

Choice 2: 40 feet

Since 40 feet is smaller than the 50, we know this will not be correct :)

Choice 3: 120 feet

120 x 20 = 2400

2400/2 = 1200

Choice 4: 60 feet

60 x 20 = 1200

1200/2 = 600

The correct answer is 4, 60 feet :)

Have an amazing day!!

Please rate and mark brainliest!!

please show your work and no links
and please do the one that are blank

Answers

Answer:

its blury

Step-by-step explanation:

The space shuttle carries c pounds of cargo, and each piece of cargo weighs 212.66 pounds. Which of the following expressions represents the number of pieces of cargo?

Answers

Answer:

The answer would be B. c ÷ 158.14

Step-by-step explanation:

i just took this test :) the question was:

The space shuttle carries c pounds of cargo, and each piece of cargo weighs 158.14 pounds. Which of the following expressions represents the number of pieces of cargo The space shuttle carries c pounds of cargo, and each piece of cargo weighs 158.14 pounds? Which of the following expressions represents the number of pieces of cargo?

A. c × 158.14

B. c ÷ 158.14

C. c - 158.14

D. c + 158.14

Find a linear equation with two variables that, together with the
equation 10x + 5y = 1, would comprise a system
with one solution

Answers

Answer:

  y = x

Step-by-step explanation:

Any equation that describes a different line will be part of a system with exactly one solution. There are an infinite number of possible equations.

Perhaps one of the simplest is ...

  y = x

_____

Together with the given equation, this has the solution ...

  x = y = 1/15

6. Complete a glide translation (x-2, y) and then reflect over x axis. What would be the new ordered pairs for P'and S'?

Answers

The glide translation and the reflection over x-axis are illustrations of transformation

The new ordered pairs for P'and S'are (x - 2, -y)

How to determine the new ordered pairs?

The given parameters are:

Glide translation (x-2, y)

Reflection over x axis

Assume the coordinates of point P and S are (x,y)

When translated, the new points would be:

(x-2, y)

The rule of reflection over the x-axis is:

[tex](x,y) \to (x,-y)[/tex]

So, we have:

[tex](x - 2,y) \to (x - 2,-y)[/tex]

Hence, the new ordered pairs for P'and S'are (x - 2, -y)

Read more about transformation at:

https://brainly.com/question/4289712

Select each correct answer.


f(x) is a polynomial function.

f(x) is an exponential function.

g(x) is a polynomial function.

g(x) is an exponential function.

The output values of f(x) will remain greater than those of g(x) as the input values continue to increase.

The output values of g(x) will surpass those of f(x) as the input values continue to increase.

Answers

Answer:

f(x) is a polynomial function.g(x) is an exponential function.The output values of g(x) will surpass those of f(x) as the input values continue to increase.

Explanation:

f(x) has a function of x³

g(x) has a function of [tex]\sf 3^X[/tex]

False statements:

The output values of f(x) will remain greater than those of g(x) as the input values continue to increase.f(x) is an exponential function - as crosses x-axis, exponential never crosses x-axisg(x) is a polynomial function - as has no valid power.

Answer:

By examining the table of ordered pairs, notice that the function f(x) is the cube of [tex]x[/tex].  Therefore,  [tex]f(x)=x^3[/tex]

By examining the table of ordered pairs, notice that as [tex]x[/tex] increases by a constant value, the value of the function g(x) increases by the common ratio of 3. Therefore, [tex]g(x)=3^x[/tex]

From the table, both functions equal 27 when [tex]x=3[/tex], therefore, the point of intersection of the two functions is (3, 27).

As x increases past [tex]x=3[/tex], g(x) increases quicker than f(x) since g(x) is an exponential function and f(x) is a cubic polynomial.

So the following statements are true:

f(x) is a polynomial functiong(x) is an exponential functionThe output values of g(x) will surpass those of f(x) as the input values continue to increase.

Please refer to the attached graph of both functions with plotted ordered pairs.

If the simple interest on $5,000 for 4 years is $1,800, then what is the interest rate?

Answers

Answer:

9%

Step-by-step explanation:

A garden store bought a fountain at a cost of $995.66 and marked it up 100%. Later on, the store marked it down 25%. What was the discount price?
$

Answers

Answer:

$1493.49

Step-by-step explanation:

The original cost was doubled initially.

$995.66 x 2 = 1991.32

1991.32 x 0.75 (25% discount) = $1493.49

Jill wants to have ride at least 144 miles on her bike. Her riding speed is 9 miles per hour. Which inequality(s) represents how many h hours she needs to ride?

Answers

Hey there!

Let's make an equation

=> 9h = 144

{ Make h the subject of formula}

=> 9h = 144

=> 9h/9 = 144/9

=> h = 144/9

=> h = 16

The Sum of the measures of angle X & Y is 90 degrees
The measure of angle X is 6x
The measure of angle Y is 24
what is the value of X?

Answers

Step-by-step explanation:

X + Y = 90

Y = 24

X = 6x

X + 24 = 90

X = 66

x = X/6 = 66/6 = 11

Pls help I’ll give you 25 points

Answers

Answer:

For the 1st row:

6.38 - 6 19/50 - 638%

Step-by-step explanation:

I would suggest using MathPapa if you are trying to do it quick. MathPapa will only really help with finding fractions and percentages, though. To get the decimal, need to find percentages then move decimal to the left 2 times.

ex. 125% -> 1.25

I hope this helps! Have a blessed rest of your night!

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