5
Keisha borrowed $8000 at a rate of 9.5%, compounded semiannually. Assuming she makes no payments, how much will she owe after 9 years?
Do not round any intermediate computations, and round your answer to the nearest cent.

Answers

Answer 1

Answer:

Keisha will owe $18444.32 after 9 years

Step-by-step explanation:

Compound Interest

It occurs when the interest is added to the principal rather than paying it in.

It basically means paying interest over interest.

The formula is:

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

Where:

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

Keisha borrowed P = $8000 at a rate of r = 9.5% = 0.095 (assumed annual rate) compounded semiannually (twice a year).

If she makes no payments, the amount she owes increases over time. After t = 9 years, we can calculate the amount owed by using the above formula.

Please, note that since there are 2 compounding periods per year, n = 2, thus:

[tex]\displaystyle A=8000\left(1+{\frac {0.095}{2}}\right)^{2\cdot 9}[/tex]

Operating:

[tex]\displaystyle A=8000\left(1+0.0475\right)^{18}[/tex]

[tex]A = 8000\cdot 2.30554[/tex]

A = $18444.32

Keisha will owe $18444.32 after 9 years


Related Questions

can u pls find the slope intercept form pls?​

Answers

Answer:

y = - 7/5x + 18/5

Slope: - 7/5

y - intercept: (0, 18/5)

Hope this helps!!

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Answer:move -5x to the right becomes 5x

Y=5X+2

When x =1 5(1)+2= 7 for Y

When X=2 5(2)+2= 12 for Y

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Step-by-step explanation:

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Answer:

x = 3

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I WILL MARK BRAINIEST
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Answers

Answer:

alternate exterior angles

Step-by-step explanation:

Answer: adjacent angles

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PLEASE GUYS HELP ME I WILL GIVE BRAINLIST OR WHATEVER IS CALLED I HAVE AN IMAGE ATTACHED TO




Rosie draws a triangle, ABC.
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• AC = 9 cm
• Angle BAC = 75
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b) Use your sketch to work out the area of Rosie's triangle.
cm

Answers

Answer:

34.77

Step-by-step explanation:

a group...........................................

Answers

Answer:

165⁰ I hope this helped :)

Can every parallelogram be changed into a rectangle
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Answers

Answer:

Every parallelogram can be made into a rectangle, which is why we use the same formula to find the area of a parallelogram and a rectangle.

Step-by-step explanation:

Because the parallelogram and rectangle are composed of the same parts, they necessarily have the same area.

If a number is divisible by 3, then its odd

Answers

Answer:

and? obviously bc 3 isnt a even number so then the answer wont be even

joseph save 50% of his allowance each week if he saves $25 in 5 weeks how much allowance does joseph receive each week

Answers

Answer:

10 dollars

Step-by-step explanation:

En el siguiente esquema se presentan en rojo las diferentes rutas que existen para llegar de una ciudad a otra. Por ejemplo, para llegar de la ciudad B a la ciudad C hay 4 posibles rutas. Si se quiere viajar desde la ciudad A a la ciudad D, ¿por cuántas rutas se podría ir? * A. 14 B. 36 C. 12 D. 24

Answers

Answer:

La respuesta es D. 24

Step-by-step explanation:

Falta el esquema. Lo adjunto en la resolución de la pregunta.

En el esquema se puede ver que hay 3 maneras de ir desde la ciudad A a la ciudad B, 4 maneras de ir desde la ciudad B hacia la ciudad C y finalmente 2 maneras de ir desde la ciudad C hacia la ciudad D.

Necesitamos saber por cuántas rutas se podría ir si se desea viajar desde la ciudad A a la ciudad D.

Utilizaremos el principio de multiplicación para responder a ésta pregunta ⇒

Supongamos que estamos realizando un experimento [tex]N[/tex] el cuál está conformado por una serie de sub - experimentos [tex]m_{1},m_{2},...,m_{n}[/tex].

Ahora, cada uno de estos sub - experimentos se puede desarrollar de [tex]n_{1},n_{2},...,n_{n}[/tex] maneras diferentes respectivamente. Entonces, el número total de maneras diferentes en las que el experimento [tex]N[/tex] se puede llevar a cabo se calcula como [tex]n_{1}[/tex] x [tex]n_{2}[/tex] x . . . x [tex]n_{n}[/tex]

Ahora bien, siguiendo con ésta idea escribimos :

3 x 4 x 2 = 24

''3'' porque es el número de rutas distintas para ir de A hacia B

''4'' porque es el número de rutas distintas para ir de B hacia C

Y finalmente ''2'' porque es el número de rutas para ir desde C hacia D

Si hacemos éste producto el resultado es 24 y por lo tanto la opción correcta es D. 24

. On the opening night of a new movie, a local movie theater sold 630 tickets and filled 90% of the seats in the theater. How many seats are in the movie theater?

Answers

Answer:

700 seats

Step-by-step explanation:

- If 630 tickets filled 90% of the seats, [tex]x[/tex] tickets filled 100% of the seats

multiply 630 by 630 tickets = 90/100

- Set up a proportion

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help pls i need the angles one

Answers

X=10 and y=20 is the answer

What is an equilateral triangle?
a.
a triangle with equal sides and angles
c.
a sacred triangle used in Islamic art
b.
a triangle whose angles equal 360
d.
none of the above

Answers

Answer:

A

Step-by-step explanation:

Answer:

A. a triangle with equal sides and angles

draw a line segment of length 8 cm divide it in the ratio 5:3​



plzzzz helpppp

Answers

Answer:

Draw the line segment AB = 7 cm.

Draw ray BX making an acute ∠ABX.

Along BX. mark off five points B1, B2, B3, B4 and B5. Join B2 to A.

Through B5 draw B5P || B2A, intersecting BA produced at P.

The point P so obtained is the required point which divides AB externally in the ratio 3:5.

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Answers

Answer:

209

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209

Answer:

Step-by-step explanation:

6+7+13+10

George has 525 songs on his mobile device and downloads 3 new songs a week. represent the total number of songs he has after w weeks.

Answers

Answer:

y= 3w+525

Step-by-step explanation:

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Answers

Answer:

D(72)

Step-by-step explanation:

to find this do 40 + 40 to get 200 percent of the original year when subtract 20 percent of 40 to get 72

A cylinder has a diameter of 16 cm and a volume of 804.247cm2. What is the height of the cylinder?

Answers

Answer:

The height is 4cm

Step-by-Step Explanation:

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4cm

Hope this helps :)

Answer: 4cm

Step-by-step explanation:

( Please answer) Elevator #1 starts moving upward from a height of 28 feet at a rate of 8 feet per
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Answers

The answer is A and D

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What is an expression?

The numerical variables and operations denoted by the addition, subtraction, multiplication, and division signs are combined in the mathematical expression.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols. They can also denote the operation order and other properties of the logical syntax.

Given that moving upward from a height of 28 feet at a rate of 8 feet per second. At the same time, elevator #2 starts moving down from a height of 100 feet at a rate of 10 feet per second.

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h-10s =100

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Please quick You purchase a car using a $15,000 loan with a 5% simple interest rate.
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Answers

Answer:

a) $3000

Step-by-step explanation:

a)

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Answers

X is equal to 90 degrees

Joshua's car used is of a gallon to travel of a mile. At what rate does the car use gas, in miles per gallon? On the double number line below, fill in the given values] , then use multiplication to find the missing value. Enter your answers as fractions, mixed numbers, or whole numbers. To enter a mixed number on the double number line, use a space and the slash key. For example: 3 1/2 miles o O 1 gallons Enter your final answers as fractions,mixed numbers,or whole number​

Answers

The is is algebra one or two please mark me

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Answers

Answer:

1335.5

Step-by-step explanation:

Answer:

10/171

Step-by-step explanation:

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Please help! I'm very bad at these "what's my number" problems, so please respond ASAYC! (as soon as you can)

Answers

Answer:  82

====================================================

Explanation:

Let A be the tens digit and B be the units digit

We can write the number as AB. So if A = 9 and B = 2 for instance, then the number is AB = 92. Keep in mind I'm not multiplying A and B here.

"The unit digit is a prime" means B could be any of these values {2,3,5,7}. We only list the single digit primes. The value 1 is not prime.

Now multiply each of those items by 4

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is 1 ÷2 the same as 1/2?

Answers

Answer:

Step-by-step explanation:

yes it is

Answer:

yes----------------------

What is the slope of the line that passes through the points (-4,6) and (-3,2)

Answers

Answer: m=4/7x

Step-by-step explanation:

First, you need to use the equation y2-y1/x2-x1

Plug that in and you get 2-6/-3-4

2-6= -4

-3-4=-7

Cancel out the negatives

And the answer is 4/7

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Answers

it’s b and d!! 4 to the right of 4 on the number line is 8 and the answer is 8 so it’s both!!

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Answers

Answer:

130 degrees

Step-by-step explanation:

So u can see those little lines on two of the sides of the triangle, it means that it's congruent also meaning the same length, and if u didn't, the angles had to be the same in order for the sides to be the same length. So the other missing angle degree is also 25 degrees. A triangle is 180 degrees, so with this info:

25 + 25 + 4x + 2 = 180

4x + 52 = 180

4x = 128

x = 32, now we have x so replace the x in the equation with 32

4(32) + 2

128 + 2

130

If f(x)=-9x-2, find f(7)

Answers

Answer:

x= -1/5

Let me know if you need an explanation :)

PLEASE

The simple interest formula is ​I=Prt​, where I is the interest, P is the principal, r is the interest rate, and t is the time.

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Answers

Answer:

$40781250

Step-by-step explanation:

Okay so the formula for simple interest is: I = P x T x R divided by 100

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If you have the multiple choice answers:

A. $160

B. $200

C. $1600

D. $16,000

the answer is C. $1600

here's why:

The principal is $10,000, the interest rate is 2%, and the time is 8 years.

I = Prt

 = $10,000 · 2% ⋅ 8

 = 10,000 ⋅ 0.02 ⋅ 8

 =         1600

So, the interest earned is $1600.

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