If interest is compounded semi-annually, which expression
represents the account balance in t years?

Answers

Answer 1

Answer:

The equation to represent the account balance in t years

[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{2t}[/tex]

Step-by-step explanation:

Given the compound interest equation

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

here

A represents Accrued Amount (principal + interest)

P represents Principal Amount

I represent Interest Amount

r represents the Annual interest rate

t represents Time Involved in years

n represents the number of compounding periods per unit t

As we are given that the interest is compounded semi-annually

i.e. n = 2

so substituting n = 2 in the equation

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

[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{2t}[/tex]       ∵ n = 2

Thus, the equation to represent the account balance in t years

[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{2t}[/tex]


Related Questions

write the equation of the line passing through points (2,-2) and (1,0) in the slope intercept form​

Answers

Answer:

y=-2x+2

Step-by-step explanation:

Just follow the slope-intercept form formula-

Formula: y= mx+b

Key:

y = y-coordinate

m = slope

x = x-coordinate

b = y-intercept

Feel free to ask if you have any questions, hope this helps!(:

I need the reflection on this one

Answers

your line is y = -x ,, which goes through quad 2 and quad 4

The rule for this line is:
( x, y ) —> ( -y, -x )

which in your case is:
(2,-5) —> (5,-2)
(2,-8) —> (8,-2)
(-8,-5) —> (5,8)
(-8,-8) —> (8,8)

then plot those new points in the grid and that’s the reflection of your rectangle


what is ratio of the area of the larger pizza to the area of the smalles pizza ? 12 in to 18 in pizzas ?

Answers

Answer:

18/12= 1.5

Step-by-step explanation:

divide the larger inch by the smaller one so we get a ratio of 18:12

or 1.5:1

where the bigger one is 1.5 times larger for every inch of smaller pie

Given f(x) = - 2x + 5 and g(n) = 3n - 2, evaluate one of the functions with the indicated value f(-3) and explain your answer
[A] f(-3) = -1
[B] g(-3) = - 11
[C] f(-3) = 11
[D] g(-3) =7

Answers

Answer:

[C] f(-3) = 11

Step-by-step explanation:

f(x) = - 2x + 5f(-3) = - 2(-3) + 5f(-3) = -(-6) + 5f(-3) = 6 + 5 =11

Which expression is a factor of both x^2-9 and x^2+8x+15

Answers

Step-by-step explanation:

x^2-9=0x^2+8x+15=0

(x+5)(x+3)=0

x+5=0 or x+3=0

x=-5or x=-3

x=-5 in x^2-9=0

(-5)^2-9=0

10-9=0

1=0

x=-3 in x^2-9=0

(-3)^2-9=0

9-9=0

0=0

Please help me find x

Answers

Answer:

x=13

Step-by-step explanation:

According to the question

3x+5x-14=90

8x-14=90

8x=90+14

8x=104

x=104/8

x=13

180 = 90 + 3x + 5x - 14
180 - 90 + 14 = 3x + 5x
104 = 8x
104/8 = x
x = 13

Checking:
3(13) + 90 + 5(13) - 14 = 180
180 = 180
So x=13

ITS NOT THE ONE I MARKED I ACCIDENTLY PRESSED IT BUT PLEASE HELP

Answers

Answer:

Actually the one that you have marked is the answer

Step-by-step explanation:

Divide 2 by 5 and get 0.4. Next in each answer choice divide each number by each other beginning with the lowest number by the highest number.

Sadie's sweets is having a sale on all their baked goods they are regularly priced at $4 but they are marked down to $2.6 what percent off are they​

Answers

Answer:

35% off

Step-by-step explanation:

= |4 - 2.6|/((4 + 2.6)/2) = 1.4/3.3 = 0.42424242424242 = 42.424242424242%

Percentage of decrease = |4 - 2.6|/4 = 1.4/4 = 0.35 = 35%

2.6 is a 35% decrease of 4.

35% off

Explanation: 30%= 0.30
4 times 0.30= 1.4
4-1.4= 2.6

The net of a right rectangular prism is shown below. The measurements are given to the nearest tenth of a centimeter. What is the surface area of the prism?

Answers

Answer:  c. 352.50 cm²

Step-by-step explanation:

Looking at the shape one can see that it is made up of 3 rectangles and 2 triangles.

The surface area will therefore be the sum of the areas of these 5 shapes.

Rectangle area = Length * width

= 7.5 * 13.5

= 101.25 cm²

There are 3 of them:

= 101.25 * 3

= 303.75 cm²

Triangles = 1/2 * base * height

= 1/2 * 7.5 * 6.5

= 24.375 cm ²

There are two of them:

= 24.375 * 2

= 48.75cm²

In total:

= 303.75 + 48.75

= 352.50 cm²

Which percentage is the same as 3.21

Answers

Answer:

321%

Step-by-step explanation:

hope I helped Kkkkkkkk

my brother needs help with this

Answers

Answer:

You cant do 4x+24

7 (5)= 35

7 (2) 14

35+14-49=0

Step-by-step explanation:

Write an equation for the linear function f with values f(6) = -4 and f(9) =-9.

Answers

For the first 1 is 0.6 because 2 divided by 3, and for the second 1 the answer is -1

how do i find the mean and median for this line of numbers?
42,51,64,55,51,54,51,69

Answers

Answer:

52.5

Step-by-step explanation:

Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.

Answer:

The mean is 47.875 and the median is 51

Explanation:

To find the mean you have to add up all of the numbers together, and then divide that number (383) by how many numbers there are (8) so then you would get 47.875. Now you have to find the median. To find the median you have to place the numbers from the lowest to the greatest which would be 42, 51, 51, 51, 55, 64, 69. Then you basically just pick the number in the middle which is 51, so 51 is the median.

This CD case is a rectangle that is 5.5” tall by 5.75” wide. What is the area of the CD case?

Answers

31.625

Step-by-step explanation:

Multiply height by width so

5.5(5.75) = 31.625

The area of the CD case will be [tex]31.625[/tex] squared inch .

What is area ?

Area is the quantity that expresses the extent of a region on the plane or on a curved surface.

Area [tex]= Length * Breadth[/tex]

We have,

A rectangle.

Length of rectangle [tex]=5.5"[/tex]

Breadth of rectangle [tex]=5.75"[/tex]

So,

The area of rectangle [tex]= Length * Breadth[/tex]

                                    [tex]=5.5*5.75[/tex]

                                    [tex]= 31.625[/tex] squared inch

So, the area of CD case is [tex]31.625[/tex] squared inch.

Hence, we can say that the area of the CD case will be [tex]31.625[/tex] squared inch .

To know more about area click here

https://brainly.com/question/20693059

#SPJ3

below is a map of homes in a neighborhood what is the angle relationship between georgas and johns house

Answers

Answer:

Vertical Angles, the other answers are wrong, as they represents other angle orientations

Help explain how you got it! Will mark brainliest!

Answers

6x - 15 = 4x + 11
2x = 26
x = 13

Answer:

i have made it in above pic hope it helps

where do you find the answers at

Answers

Answer:

Step-by-step explanation:

I find the answer at the search bar :)

Search bar was this a trick question lol

I need help- I’ll give brainlist if it’s right

Answers

Answer:

D.  x>[4]

Plzzzzz give me Brainliest!!!!!  

Answer:

D. x > 4

Step-by-step explanation:

You have to do the opposite operations to get the variable on one side of the equation by itself.

4 - x + 4 = 8 - 4

x = 4

You only switch the comparison sign if you mutliply or divide by negative numbers when you do opposite operations to get the variable on one side of the equation by itself.

I hope this helps!

Find the length of side x in simplest radical form with a rational denominator.

Answers

Answer:

x = 2√3

Step-by-step explanation:

The sides of a 30-60-90 triangle are always in the ratio 1:√3:2.

The length of the side opposite the 90° angle is 4, so the length of the side opposite the 30° angle is 2 and the length of the side opposite the 60° angle is 2√3.

x = 2√3

Can’t pls help me with this question

Answers

Answer:

Let

Total number of people (T)=1600

those satisfied with the car (t) =720

The percentage of the satisfied people(S)= number of satisfied people divided by the total number of people who took part in the survey, multiplied by 100

=> S=(T/t)*100

S=(720/1600)*100

S=45%

Step-by-step explanation:

2. If m is inversely proportional to n, the equation must be written as
C. n= km
m
A. k=
n
k
B.m=-
n
D. none of the above

Answers

Answer:

mn = k

Step-by-step explanation:

Given that,

m is inversely proportional to n.

ATQ,

[tex]m\propto \dfrac{1}{n}[/tex]

or

[tex]m=\dfrac{k}{n}[/tex]

Cross multiplying both sides,

mn = k

Hence, the required equation is "mn=k".

In a bike race Tim rode 7 1/4 miles his teammate Bill rode 8 7/8 how many miles did they ride in all​

Answers

so you add the miles together and you would get 16 1/8 you add the whole numbers and get 15. you have to change the denominator to equal the same thing so it would change to 2/8 instead of 1/4 and then add it up and get 9/8 so you add a whole number and left with 1/8 and the answer is 16 1/8

The Gamez family goes out for dinner and the price of the meal is $63. The sales tax on the
meal is 6.5% and they leave a 20% tip on the pre-tax amount. What is the total cost of the meal?

Answers

The total price for the meal is $79.69
20% of $63 is $12.6
And 6.5% of $63 is $4.09
$4.09+$12.6+$63=$79.69

Lorelei knows that the mass of one dime is about 2.3 grams. She needs to find the mass of 4 dimes. Which equation shows how to use the Distributive Property to solve?

Answers

Answer:

Step-by-step explanation:

(4 × 2) + (4 × 0.3) = 9.2 grams

Please help me with this question

Answers

Step-by-step explanation:

y-intercept in the point x = 0

B) is the easiest

g(x) or y value

g(x) = 3x² + 6x -9

= 3(0)² + 6(0) -9

= 0 + 0 -9

= -9

y-intercept = (0,-9)

Help me please! I'm stuck and I need the answer now! Thx so much!

Answers

Answer:

34

Step-by-step explanation:

Given

z = -3 + 5i

Conjugate of z is:

z' = -3 - 5i

Product zz' is:

zz' = (-3 + 5i)(-3 - 5i) = (-3)² - (5i)² = 9 - 25(-1) = 9 + 25 = 34

If ,

[tex]\bold{z=-3+5i }[/tex]

so,conjugate of z

[tex]\overline{ z }[/tex]=[tex]\bold{-3-5i }[/tex]

Because, in argand plane [tex]\overline{ z }[/tex] is the reflection of z in x-axis.

so,

According to the question,

z[tex]\overline{z}[/tex]=(-3+5i)(-3-5i)

[tex]\bold{(-3)^2-(5i)^2 }[/tex]

[tex]\bold{9-25(-1) }[/tex]

[tex]\bold{ 9+25 }[/tex]

[tex]\bold{ 34 }[/tex]

after a year how much did nadia make?

Answers

Answer:

Hey!

Step-by-step explanation:

We need to know all of the info on nadia, can you report this question with all the info?

Abigail’s parents pay her $5 an hour for weeding the yard and pay her little sister $3 an hour for raking leaves.

Write an expression in two different ways to represent the amount their parents will pay Abigail and her sister for working the same number of hours
I dont get help me

Answers

Answer: (MAKE ME BRAINLIST PLEASE)

Answer: For Abigail W = $5t

For her younger sibling W= $3t

Bit by bit clarification:

How about we address the compensation with W

t as the time spent on work in hours

Abigail will be paid $5 every hour, her all out compensation will be

W(abg) = $5t

Her younger sibling will be paid $3 every hour, her complete compensation will be

W(lts) = $3t

what does m2+ m3= ???????????

Answers

Answer:

M2+m3=90

Step-by-step explanation:

Angle 1 already is equal to 90. A triangle can only go up to 180 wo the other two angles have to add up to 90.

what is equivalent to 8+3•12​

Answers

Answer:

Step-by-step explanation:

There are infinity equivalent fractions to 812. See some examples: 23, 46, 69, 812, 1015, 1218, 1421, 1624, 1827, 2030, 2233, 2436, 2639, 2842, 3045, 3248, 3451, 3654, 3857, 4060...

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