A college savings account pays 8.2% annual interest compounded semiannually. What is the balance of an account after 12 years if $21,000 was initially deposited?​

Answers

Answer 1

9514 1404 393

Answer:

  $55,085.44

Step-by-step explanation:

The formula for the account balance is ...

  A = P(1 +r/n)^(nt)

where principal P is invested at annual rate r compounded n times per year for t years. Using the given values, we find the balance to be ...

  A = $21,000(1 +0.082/2)^(2·12) = $21,000(1.041^24) ≈ $55,085.44

The balance is $55,085.44 after 12 years.


Related Questions

what are the answers of 3 equivalent ratios of 24:12

Answers

Answer:

2:1

6:3

8:4

Step-by-step explanation:

24 divided by 12 is 2, so equivalent ratio should also be 2

2 divided by 1 is 2

6 divided by 3 is 2

8 divided by 4 is 2

How many turning points are in the graph of the polynomial function?

A.) 2 turning points
B.) 3 turning points
C.) 4 turning points
D.) 5 turning points

Answers

I’m pretty sure the correct answer is C. 4 turning points

Points A, B, and C are collinear, BC = 2x+1, AB = 4x-3. AC is 7x- 6. What is
AB?

Answers

A line is a one-dimensional shape that is straight, has no thickness. The length of the sides AB is 13 units.

What is a line?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.

Given Points A, B, and C are collinear, BC = 2x+1, AB = 4x-3, and AC is 7x- 6. Since the three points are collinear therefore, the sum of AB and BC will be equal to AC. Therefore, we can write,

AB + BC = AC

4x - 3 + 2x + 1 = 7x - 6

6x - 2 = 7x - 6

-2 + 6 = 7x - 6x

4 = x

Now, since the value of x is 4, the measurement of AB is,

AB = 4x - 3 = 4(4) - 3 = 16 - 3 = 13 units

Hence, the length of the sides AB is 13 units.

Learn more about Line:

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Tessellations . image below

Answers

Answer:

regular hexagon is a answer

On each coordinate plane, the parent function f(x) = |x| is represented by a dashed line and a translation is represented by a solid line. Which graph represents the translation g(x) = |x + 2| as a solid line?

On a coordinate plane, a dashed line absolute value graph has a vertex at (0, 0). A solid line absolute value graph has a vertex at (2, 0).

On a coordinate plane, a dashed line absolute value graph has a vertex at (0, 0). A solid line absolute value graph has a vertex at (0, negative 2).

On a coordinate plane, a dashed line absolute value graph has a vertex at (0, 0). A solid line absolute value graph has a vertex at (negative 2, 0).

On a coordinate plane, a dashed line absolute value graph has a vertex at (0, 0). A solid line absolute value graph has a vertex at (0, 2).

Answers

Using shifting concepts, we get that the graph that represents the translation g(x) = |x + 2| as a solid line is:

On a coordinate plane, a dashed line absolute value graph has a vertex at (0, 0). A solid line absolute value graph has a vertex at (-2, 0).

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

Shifting a function f(x) a units to the left is the same as finding f(x + a).

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

The vertex of the function f(x) = |x| is at the point where x = 0, and thus, f(x) = 0. Thus, the vertex of the dashed line is at (0,0).The vertex of the function g(x) = |x + 2| is at the point where [tex]x + 2 = 0 \rightarrow x = -2[/tex], g(-2) = |-2 + 2| = 0. Thus, the vertex of the solid line is at (-2,0).

Thus, the correct option is:

On a coordinate plane, a dashed line absolute value graph has a vertex at (0, 0). A solid line absolute value graph has a vertex at (-2, 0).

At the end of the exercises, there are are the graphs of those two functions, considering the dashed line as the red line and the solid line as the blue line.

A similar question is given at https://brainly.com/question/23630829

Answer:

Not D

Step-by-step explanation:

Petty sure It's C

Solve for x
(4/y) + (3/x) = 8
(6/y) + (5/x) = 13

Answers

Answer:

0.5

Step-by-step explanation:

Given data

[tex]\frac{4}{y} +\frac{3}{x} =8\\\frac{6}{y}+\frac{5}{x} =13[/tex]

Now,

4x+3y=8xy......(i)

6x+5y=13xy.......(ii)

Multiply by 5 in equation (i) and by 3 in equation (ii)

20x+15y=40xy.....(iii)

18x+15y=39xy.....(iV)

Solving above equation (iii) and (iv)

2x=xy

y=2

Now, putting the y=2 in equation (i)

4x+3(2)=8x(2)

4x+6=16x

6=12x

x=0.5

Value of x=0.5

A new runner has decided to purchase a new pair of running shoes. He has narrowed his choices to two brands, each of which would be appropriate for his use. His concern is whether there is a significant difference in the average wear between the two brands of shoes. He enlisted a random sample of 6 veteran runners to test the shoes. Each runner wore each brand of shoe until it wore out. What method of analysis is more appropriate to use for this problem

Answers

Answer:

Paired difference t test

Step-by-step explanation:

The paired difference t test is a type of statistical test which is used to examine if difference exists in th population mean of two samples. The paired difference test usually involves samples taken within subjects. That is, the sample mean for each set of measurement is taken from the Same subject, In the scenario described above, the subjects which are the 6 veteran runners each wore each of the two shoe brands, this means that two readings were produced by each runner ; one reading for brand A and the other brand B.

The difference between the two readings are taken for each runner and used to perform a hypothesis test:

t = μd/ (s/√n)

s = sample standard deviation ; n = sample size ; μd = mean difference

Find the circumference of this circle
using 3 for T.
C ~ [?]
2
C = 2Tr

Answers

Answer:

12

Step-by-step explanation:

Formula:

C = 2πr

Given:

r = 2, π = 3

The circumference:

C ≈ 2*2*3 = 12

Hope this help!!!

Have a nice day!!!

A.______number on the right of zero has an opposite on the left of zero.

B.________ is neither positive nor negative.

C. Integers are______
and negative numbers.

D. A number line is used to represent____

E. Numbers greater than zero are called ______

F. Numbers smaller than zero are called______


please help me guys​

Answers

Answer:

1.  A positive

2. 0/zero

3- Positive

4- Positive and negative numbers

5- Positive numbers

I'm not too sure but I hope this helps.. you can wait for another answer to be sure

What is 3/x - 2/x = 1/5​

Answers

Answer:

x=5

Step-by-step explanation:

See image below:)

Factorize by splitting the middle term: 100 x2 – 20x + 1.

Answers

I remember working on this like a few days ago the answer was 35 hope this helps

Answer:

Below;.

Step-by-step explanation:

100x^2 - 10x - 10x + 1

= 10x(10x - 1) - 1(10x - 1)

= (10x - 1)(10x - 1).

A school store has 1200 pencils in stock, and sells an average of 25 pencils per day. The manager reorders when the number of pencils in stock is 500. In how many days will the manger have to reorder? The equation that the manger uses to calculate number of days is 1200 - 25x =500.
A 35 DAYS
b 45 DAYS
C 28 DAYS
D 17 DAYS

Answers

Answer:

C. 28 DAYS

Step-by-step explanation:

You take the total ammount of pencils and subtract the minimum stock (y intercept)

1200-500 = 700

700 divided by the slope of the equation (how many pencils a day is sold) 25

700/25 = 28

Solve.
On a map. 1 inch equals 11.4 miles. If two cities are 3.5 inches apart on the map, how far are they actually apart?
The distance between the cities is miles.
(Type an integer or a decimal.)

Answers

Answer:

39.9 miles

Step-by-step explanation:

If 1 inch = 11.4 miles, then 3.5 inches = 3.5*11.4 miles=39.9 miles

Two cities are 3.5 inches apart then they are 39.9 apart in miles.

Answer:

39.9 miles

Step-by-step explanation:

3.5 * 11.4 = 39.9

What is the volume of this rectangular prism? All dimensions are in centimeters.



40 cm3
80 cm3
22 cm3
11 cm3

Answers

Answer:

Volume = 40

Step-by-step explanation:

Formula for Volume: Volume = w*h*l

Plug in the values: Volume = 5*4*2

Volume = 40

If d(4)=68. Thus, joe travels 68 mi in 4 hours. How many mi does Joe travel in 45 min

Answers

Answer:

12.75 miles

Step-by-step explanation:

Changing hours to minutes

4 hours 4*60 = 240 minutes

Now we can use a ratio to solve

68 miles            x miles

-------------    = -----------------

240 minutes        45 minutes

Using cross products

68*45 = 240x

Divide each side by 240

68*45 /240 = x

12.75 miles

Answer:

12.75 MILES

Step-by-step explanation:

if he travels 68 miles in 4 we should find how many miles per hour

to find this we divide 68/4 which is 17

So if he is going 17 MPH then to find how far he travels in 45 min we should multiply by 3/4

17 x 3/4 is 12.75

12.75 MILES

HELP PLEASE WILL MARK BRAINLIEST ITS END BEHAVIOR OF A GRAPH

Answers

First picture:
3rd one from top to bottom
Second picture:
2nd one from top to bottom
If u need explaining comment and I will do it

Plsssss help me!! ASAP, Brainlist! Plss help or I’m gonna fail, helpppp.

Answers

Answer:

(c) . 8 - ( - 1 ) = 9

. - 1 - 8 = -9

Step-by-step explanation:

- times - is equals to +a small number cannot subtract a big number, so .... And; using a number line would make it easier to understand.

16. Find the value of X (In the picture) (giving points to best answer/brainlest)​

Answers

Answer:

x=46

Step-by-step explanation:

Let's call the angle near x is y

x+y = 180 - 22 -90 = 68

The right triangle is a isosceles triangle

So y=22

x+22 = 68

x = 46

tom has 60 apples, 30 oranges and 10 bananas
Valerie has 45 apples, 20 oranges and 5 bananas

how many more apples, oranges and bananas does tom have each?

how many apples, oranges and bananas do they have in all?

how many apples, oranges and bananas do they have in all times 2?

Answers

Answer:

15 10 5

60+45=15

30-20=10

10-5=5

170

60+30+10+45+20+5=170

340

170x2=340

Step-by-step explanation:

The cost of playing golf increases with the number of games played. Identify the independent and dependent quantity in the situation.

A. hours played; cost

B. cost; games played

C. cost; hours played

D. games played; cost

Answers

Independent variable: games played
Dependent variable: cost
Hi! The answer is D. - Games Played and Cost. The price can only increase when you play more rounds. I hope this helped, Goodluck :)

PLEASE HELP I HAVE COUPLE MORE QUESTIONS AS WELL

Answers

Answer:

BPA = 115

DCB = 105

DE = 150

Step-by-step explanation:

MMM

ordered pair solution of this equation -9x - y = 15​

Answers

(0,-15) (1,-24) (2,-33) those the options i got

In the given figure p ∥ q , and t is a transversal then find the measures of a, b, c, d and e.

Answers

Answer:

d=125-degree since p and q are parallel

b=d=125-degree since b and d are vertically opposite angles

a+d= 180-degree since they lie in straight line

Hence, a=180-125=55-degree

c=a=55-degree since a and c are vertically opposite angle

f=a=55-degree since a and f are alternate angle

e=f=55-degree since e and f are vertically opposite angle

If f(x) = -2[x] + 8, what is f(-1.8)?
4
6
10
12

Answers

Answer:

it's 12!

Step-by-step explanation:

Answer:

C. 10

Step-by-step explanation:

First, you plug in f(-1.8) into the original equation.

f(-1.8) = -2 (-1) + 8

The reason why I rounded -1.8 to -1 is because we're using the ceiling function, which means we need to round up (the brackets tell you in Edge but not on Brainly). Rounding up a negative number means we are going closer to 0. The next whole number close to -1.8 on the right will be -1.

Now solve:

f(-1.8) = 2 + 8 = 10

The answer is 10 if f(-1.8)

If you need more proof I took the quiz as well:

Devaughn is 14 years younger than Sydney. The sum of their ages is 76. What is Sydney's age?​

Answers

9514 1404 393

Answer:

  Sydney is 45

Step-by-step explanation:

Let s represent Sydney's age. Then Devaughn's age is (s-14). The total of their ages is ...

  s +(s -14) = 76

  2s = 90 . . . . . . simplify, add 14

  s = 45 . . . . . . . divide by 2

Sydney's age is 45.

___

Check

  Devaughn's age is 45 -14 = 31. Their age total is 45 +31 = 76, as required.

Answer:

x + (x - 14) = 76

2x - 14 = 76

2x = 90

x = 45

Sydney is 45

45 - 14 = 31

Devaughn is 31

31 + 45 = 76 ✅

Solve (5y+2)(y+2)=3(5y+2)

Answers

Answer:

y=1, y=-2/5

Step-by-step explanation:

Answer:

y= -2/5 .   y= 1

Step-by-step explanation:

5x5x5x5x5 in expression in exponential form

Answers

Answer:

5^5

Step-by-step explanation:

There are 5 fives being multiplied together.

The expression 5x5x5x5x5 can be written in exponential form as [tex]5^5[/tex].

To express the expression 5x5x5x5x5 in exponential form, follow these steps:

Step 1: Count the number of times the base (5) is multiplied by itself (the number of factors).

Step 2: Write the base (5) followed by the exponent, which is the number of factors from Step 1.

In this case, the base is 5, and it is multiplied by itself 5 times:

5x5x5x5x5 = [tex]5^5[/tex]

So, the expression 5x5x5x5x5 can be written in exponential form as [tex]5^5[/tex].

To know more about exponential form, refer here:

https://brainly.com/question/29166310

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Help me please. Plz.

Answers

It’s 3673 because yea

Answer:

110

Step-by-step explanation:

Since the whole thing should equal 360 degrees and the sides are the same length in twos then add 100 + 40 and then do 360 - 140 then divide by two fpr the missing two angles so each are 110 degrees.

What did she do wrong??

Answers

Answer:

She did nothing wrong

Solve the equation. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)
|x − 1| = |3x + 8|

Answers

Answer:

ndwiqnubuyohaiuhdiupas

I GOT A BLEEE

Step-by-step explanation:

Answer:

- 9/2 , - 7/4

Step-by-step explanation:

You can use the app photo math, you just take a pic of the problem and it gives you the answer and explains the steps. and it is free.

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