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

Shelby sold 75 raffle tickets for the school fundraiser over a 3-year period. If Kelly sold 15 less tickets than Shelby over the last 3 years, how many did Kelly sell each year on average?

Answers

Answer: 20 tickets

Step-by-step explanation:

From the question, we are informed that Shelby sold 75 raffle tickets for the school fundraiser over a 3-year period while Kelly sold 15 less tickets than Shelby. This means that the number of tickets sold by Kelly is:

= 75 - 15

= 60 tickets

The number of tickets sold by Kelly each year on average will be:

= Number of tickets sold / Number of years.

= 60/3.

= 20 tickets

over the last 3 years

Part ?? of i need these

Answers

the answer is
R = 74
Q = 32
:)

Answer:

You already have the answer so ima just get the points

Have a good night

what is the value of x and y?

Answers

Answer:

y=70 x=20

Step-by-step explanation:

Answer:

The x-intercept is found by finding the value of x when y = 0, (x, 0), and the y-intercept is found by finding the value of y when x = 0, (0, y).

Step-by-step explanation:

x y = x + 2 Ordered pair

0 0 + 2 = 2 (0, 2)

1 1 + 2 = 3 (1, 3)

2 2 + 2 = 4 (2, 4)

this is probably not right but i gave an an example

:)

what is x?
-5 (x - 1) = 40

Answers

Answer:

x=  -7

Step-by-step explanation:

have a good day

Step-by-step explanation:

- 5 (x - 1) = 40(Multiply -5 by the values in the bracket)

-5x + 5 = 40(Subtract 5 on both sides)

-5x = 40 - 5

-5x = 35 (Divide both sides by -5)

x=-7

what is the area of this circle pls help

Answers

Answer:

answer is 113.04 [tex]cm^{2}[/tex]

Step-by-step explanation:

the bottom one on the right

Consider this quadratic equation:
2x2+1x+3=0
Comparing it to the standard form, name a, b, and c
a=
b=
C=

Answers

Explanation: The value for a comes from the coefficient

on the x² term which in this case is 2 so we say that a = 2.

The value for b comes from the coefficient on the x term

which in this case is 1 so we say that b = 1.

The value for c comes from the constant term

which in this case is 3 so we say that c = 3.

Hi am new. What do I do

Answers

Answer:

You can add your question to your question or add a picture to it.

Step-by-step explanation:

Answer: you ask questions and answer stuff like the way I’m doing oh and welcome :’

Step-by-step explanation:

Which equation describes the line with slope 5 that contains the point (-2,4)?
A. y= 5x +4
B. y = 5x-22
C. y - 5x + 14
D. y = 5x-2

Answers

Answer:

C. y=5x+14

Step-by-step explanation:

Solve using this formula: y=mx+b

4 = (5) (-2) + b

4 = -10 + b

+10  +10

14 = b

Then you will plug in what you found for b in:

y=5x+14

Please help. Will go be brainliest

Answers

Answer:

a

Step-by-step explanation:

7/9 * 10/9 * 0.62 =

(7 * 10 * 62) / (9 * 9 * 100)

Multiply

4340 / 8100

Simplify by dividing by 20.

217/405 (about 0.535)

This is less than 2/3 (about 0.66), so it has to be "a" because all the other options are greater than 2/3

WHOEVER ANSWERS CORRECTLY I WILL MARK BRAINLIEST!!

Answers

Answer:

Area = 342[tex]cm^2[/tex], Perimeter = 22.79 cm

Step-by-step explanation:

First, divide the shape into 3:

An arc, a square, and a triangle.

Dimensions of shapes:

Arc:

Degree = 40°

Arms = 4 cm

Square:

All sides are 4 cm

Triangle:

base = 3 cm

height = 4 cm

hypotenuse = 5 cm

To get perimeter:

Arc length = [tex]\frac{40}{360} * (2*\pi * (4))[/tex]   (4 is the arm length ) = 2.7925 cm

Arc arm = 4 cm

Square sides (only two are outside) = 2 * 4 = 8 cm

Triangle (only hypotenuse and base are outside) = 5 + 3 = 8 cm

So total perimeter is 2.7925 + 4 + 8 + 8 = 22.79cm

To get area:

Arc area (the pizza shape) = [tex]\frac{40}{2\pi } * \pi * (4)^{2}[/tex]   (4 is the arm length) = 320 [tex]cm^{2}[/tex]

Square area  = side * side = 4 * 4 = 16 [tex]cm^{2}[/tex]

Triangle =  (1/2) * base* height = (1/2) * 3 * 4 = 6[tex]cm^{2}[/tex]

So total area is 320 + 16 + 6 = 342[tex]cm^2[/tex]

Answer:

Area=27.58 cm^2

Perimeter =22.29cm

Step-by-step explanation:

The shape consists of a sector and a trapezium

For area= area of sector +area of trapezium

[θ/360*πr^2]+[1/2(a+b)h]

[40/360*3.14*4^2]+[1/2(4+7)4]

5.58+22

27.58cm^2

For perimeter = perimeter of sector +perimeter of square +perimeter of triangle

[θ/360*2πr]+[4s]+[1/2(a+b)]

[40/360*2*3.14*4]+[4*4]+[1/2(4+3)]

2.79+16+3.5

22.29cm

i need two more , i got 1

Answers

Answer:

X=12,-4

Step-by-step explanation:

Set them equal to each other to get x^2=8x+48. Then move them both to the other side to get x^2-8x-48. Then factor the expression to get (x-12)(x+4). Set that to 0 to get x=12 and x=-4

For the trinomial x^2-11x+10 determine if the factors of c will will be both positive, both negative, or opposite signs.

Answers

Answer:

Two negatives

Step-by-step explanation:

I'm assuming by 'factors of c' you mean factors of the last term. For the entire trinomial, we know that there are two negative signs. To be able to get a negative 11x and then a positive 10, we would need two negatives, since two negatives equal a positive. Hope that helps!

At a real estate​ agency, an agent sold a house for ​$360,000. The commission rate is 25% for the real estate agency and the commission rate for the agent is 30​% of the amount the real estate agency gets. How much did the agency make on the​ house? How much did the agent earn in​ commission?

Answers

Answer: See explanation

Step-by-step explanation:

a. The amount that the agency make on the​ house will be 25% of $360,000. This will be:

= 25% × $360,000

= 25/100 × $360,000

= 0.25 × $360,000

= $90,000

b. The amount that the agent earn in​ commission will be:

= 30% × $90,000

= 30/100 × $90,000

= 0.3 × $90,000

= $27,000

Plllllllllllllllllllllllzzzzzzzzzzzz help me out I’m confused 25 points

Answers

Answer:

-1+-6=-7

Step-by-step explanation:

Answer:

-1 + (-6) = -7

Step-by-step explanation:

can someone help me?

Answers

Answer:

Yes

Step-by-step explanation:

Use the method [tex]\frac{rise}{run}[/tex].

Answer:

Yes

Step-by-step explanation:

The relationship between y and x is:

y=1/4x, because when

x=4, y=1

x=8, y=2

x=12, y=3

x=16, y=4

HELP PLEASE I WILL MARK BRAINLIEST

Answers

The answer. Is. 2 and. 1/2

Find the value of a5, given the sequence defined as: a1 = 32 an = (1/2)an-1

Answers

Answer:

a5 = 2

Step-by-step explanation:

If a1 = 32,

a1 = 1/2 a0 = 32

a0 = 64

With that, we know that

a0 = 64,

a1 = 32

so, a2 is definitely 16. From that, we may know the formula,

an = a0 (1/2)^n

a5 = a0 (1/2)^5

a5 = 64 (1/32)

a5 = 2

She ran 13.04 seconds per 100 meters, how fast was she running in meters per hour?

Answers

Answer:

27607.3619632 meters per hour

Step-by-step explanation:

She was running 7.6 m/s 3600 seconds in a hour

3600x7.6=27607.36

What is the difference between a service charge and a finance charge?
A) A service charge is a fee which must paid every month, while a finance charge is a one-time fee assessed at the beginning or end of a loan period.
B) A service charge is a flat fee charged to a borrower, while a finance charge is a fee charged to a borrower based on the amount borrowed.
C) A service charge is a fee assessed by a lender, while a finance charge is a fee charged by a financial institution, such as a bank.
D) A service charge is a fee assessed by a lender other than interest, and a finance charge is the total of the interest paid on a loan and the service charge.
Please EXPLAIN work in detail, Thank You!

Answers

Answer:d

Step-by-step explanation: because that’s the answer

D) A service charge is a fee assessed by a lender other than interest, and a finance charge is the total of the interest paid on a loan and the service charge.

According to accounting and finance terminology, the finance charge is the total fees that you pay to borrow the money in question. This means that the finance charge includes the interest and other fees that you pay in addition to paying back the loan.

* URGENT * Given f(x) = 6(2-x), what is the value of f(-8)?
open ended question​

Answers

Answer:

f(-8) = 60

Step-by-step explanation:

When we are given a function in this format, we substitute the x value in the equation. F(x) is simply another way of saying y.

if x = -8

6 (2 - -8)

6(10)

60

f(-8) = 60

Can you help me!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

B. Lease

Step-by-step explanation:

Cash has value

A vehicle has value

A house has value

But a lease itself does not have value

Asset is something you own that has value

Hope this helped!

Have a supercalifragilisticexpialidocious day!

1) Click on the measurement that is equal to 24 kilograms.
+) 240 grams
2,400 grams
24,000 grams
240,000 grams

Answers

Answer:

24,000

Step-by-step explanation:

Answer:

24,000

Step-by-step explanation:

Every kilogram is 1,000 grams

Your mother takes you to your grandparents' house for dinner. She drives 60
minutes at a constant speed of 40 miles per hour. She reaches the highway,
quickly speeds up, and drives for another 30 minutes at constant speed of 70
miles per hour. How far did you and your mother travel altogether?
Your answer

Answers

Answer:

75 Miles

Step-by-step explanation:

please answer tysmmmmmmmmm

Answers

I believe it is D ndsosje

HELP FAST I'LL MARK YOU BRAINLIEST What is an equation of the line that passes through the point (−2, 3) and is perpendicular to the line whose equation is y = 3/2( x ) − 4?

Answers

Answer: y = -2/3x + 5/3

Step-by-step explanation:

The slope of a perpendicular line is opposite reciprocal --> -2/3Using point given (-2, 3), find b.3 = -2(-2/3) + b3 = 4/3 +b5/3 = b

math test, ill mark brainliest if correct !

Answers

I don't know the second one sorry but the first one is 92. Plug -4 in for x and you get 92

Answer:

f(-4) = 3×(-4×-4) - 10 ×(-4) + 4

= 3×16 + 40 + 4

= 48 + 44

= 92

If there's a three day rain forecast for the probability of rain , 70% Friday, 70% Saturday, 70% Sunday A) work out the probability that it will rain on all three days B) work out the probability that it will rain on exactly two consecutive days

Answers

Answer:

a) 34.3%

b) 49%

Step-by-step explanation:

In order to find the probability of a sequence of events, we need to multiply each individual probability by the others in decimal form. Therefore, we need to turn these probabilities into decimal form by dividing them by 100 like so..

70% / 100 = 0.70

Now we multiply all of them together and multiply the product by 100 to get the percentage.

0.70 * 0.70 * 0.70 = 0.343

0.343 * 100 = 34.3%

34.3% is the probability of it raining on all three days. Now to find the probability of it raining on two consecutive days we do the same but multiply only 2 probabilities

0.70 * 0.70 = 0.49

0.49 * 100 = 49%

Tameka pilots a hot air balloon. She lowers the balloon
five times, going down an equal distance each time. In
all, Tameka lowers the balloon 75 m.
What integer represents the change in the hot air
balloon’s elevation each time Tameka lowers it?
What does this integer tell you?

Answers

Answer:

15 m

Step-by-step explanation:

Given that :

Change in distance is the same each time Ballon is lowered ;

Number of times Ballon is lowered = 5 times ;

Total change in distance = 75 m

Change in distance per time lowered equals ;

(Total change in elevation / Numbe rof times Ballon is lowered)

75m / 5

= 15 m

Hence, Ballon height changes by 15 m each time it is lowered.

The integer gives the lowering rate.

For A and B, use the indicated operations to find the answer

Answers

Step-by-step explanation:

Your question is not well understood

Are these correct?? I need help quick!!!

Answers

Answer:

No, it is A for the first question and C for the last one

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

1/9= .111111111111 repeating

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