Mathematics High School

$10,000 at an annual rate of 7%, compounded semi-annually, for 2 years

Use the compound interest table to find each balance

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$10,000 At An Annual Rate Of 7%, Compounded Semi-annually, For 2 YearsUse The Compound Interest Table

Answers

Answer 1

Answer:

[tex]\$13,107.96[/tex]

Step-by-step explanation:

Since interest is compounded semi-annually (half a year or 6 months), in a spawn of 2 years, the interest will have been compounded 4 times. As given in the problem, each time the interest is compounded, the new balance will be 107% or 1.07 times the amount of the old balance.

Therefore, we can set up the following equation to find the new balance after 2 years:

[tex]\text{New balanace}=10,000\text{ (old balance)}\cdot 1.07\cdot 1.07\cdot 1.07\cdot 1.07,\\\text{New balanace}=10,000\cdot 1.07^4=\boxed{\$13,107.96}[/tex]

Related Questions

Write an equation of the line below ?

Answers

Answer:

-2/6 x -2

Step-by-step explanation:

the slope is -2/6 and y int is -2

What is the formula to find the rate of discount when M.P and S.P after discount is given.

Answers

Answer:

Selling Price = M.P. – Discount = 100 – 5 = Rs. 95. If S.P. is Rs 95, then M.P. is Rs. 100.

Answer:

mp=sp+d

Step-by-step explanation:

mp- marked price

sp=selling price

d=discount

Look at the shape which image shows a reflection?

Answers

Answer:

C

Step-by-step explanation:

It would make sense

Answer:

C is the answer because it is a flipped object that has the same mass as the picture above.

Step-by-step explanation:

3 1/2 mi= _ft
Pls help
60 points!!!

Answers

Answer: 18,480 feet

What is the estimate 20 9/11 divided by 6 19/20?
A) 147
B) 120
C) 4
D) 3

Answers

Answer:

D. 3

hope this helps

have a good day :)

Step-by-step explanation:

What is the volume of the figure down below?

Answers

The answer is C. All calculations of a cone or the cone equal up to 353.77. Hope this helps!

Answer:

C is correct....

Good Luck!!!

kaitlin received a $70 gift card for a coffee store. she used it in buying some coffee that cost $7.69 per pound. after buying the coffee, she had $39.24 left on her card. how many pounds of coffee did she buy?

Answers

Kaitlin bought 4 pounds of coffee.

70-39.24=30.76
30.76 ÷ 7.69= 4

Can anyone help please and thanks

Answers

Answer:

7.02 ft

Step-by-step explanation:

Tan=opposite/adjacent

Tan(78)=x/33X×Tan(78)=334.70x=33do 33 divided by 4.70then you'll get 7.02 if your calculator is on Radian in mode

Answer:

7.02 ft

hi

your welcome have a good

day

Step-by-step explanation:

Which operation would be last when solving the inequality -5x + 9 < -6

Answers

Answer: divding both sides by -5

Step-by-step explanation:

Subtract 9 from both sides.

−5x+9−9<−6−9

−5x<−15

Step 2: Divide both sides by -5.

−5x/−5<−15/−5

x>3

Lee surveyed his friends to find out their favorite sport. 8 out of 12
preferred soccer. Suppose this trend continues and he surveys 6 more
friends. How many of them will prefer soccer?

Answers

Answer:

I got 4

Step-by-step explanation:

I included a picture of how I did it

Ted earned $4,300 from his summer internship that he plans to invest so that he can buy a used car after three years. Ted chooses a bank that offers 5.5% compounded quarterly. Can Ted buy a car that costs $4,700 after three years? Round your numbers to the nearest cent.

Answers

Answer: Yes he will be

Step-by-step explanation:

To find out if Ted can afford the car, find the future value of $4,300 in three years.

First convert the number of years and rates to quarterly values as this is the compounding period:

Term = 3 * 4 quarters = 12 quarters

Rate = 5.5% / 4 = 1.375% per quarter

Future value = Amount * ( 1 + rate) ^ term

= 4,300 * ( 1 + 1.375%)¹²

= $5,065.69

Considering that Ted makes $5,065.69 in 3 years, he will be able to buy a car that costs $4,700.

can someone help solve thsi

Answers

Answer:

50 degrees!!!!!!!!!!!!!!!

Answer:

50 degrees

Step-by-step explanation:

Yeahhhhhh 50 degrees yessss sir

what is the descender order of f(x)=5x2+4x-11

Answers

Answer: Hello Luv.....

f(x)=5x2+4x−11

Step-by-step explanation:

Hope this helps.

Mark me brainest please.

Anna ♥

Helpppp plsssy’all I need help

Answers

Answer:

the answer c

Step-by-step explanation:somebody told me the asnwer

PLS HELP! WILL GIVE BRAINLIST!!!!

The following expression is a polynomial: 3x^2y^2 - 2xy

Part A: Classify the polynomial according to its number of terms. Explain how you know your answer is correct.

Part B: Classify the polynomial according to its degree. Explain how you know your answer is correct

Answers

Answer:

It is a trinomal because there is 3 terms

It is a quadratic because the highest degree is x^2

All in all, It is a Quadratic Trinomal

Step-by-step explanation:

Area=10mmx18mm=
Please help

Answers

Step-by-step explanation:

if area is = 10mm *18mm = 180mm2

PLZ HELP I BEG UU !! 50 POINTS AND BRANLIEST>

Answers

Answer: 102.5

Step-by-step explanation:

Area of triangle: 8*6=48, 48/2=24

Area of semicircle: 2pir^2=2pi(5)^2=157

Because its semi circle it is 157/2 which equals 78.5

Total area:24+78.5=102.5

Answer:

102.5

Step-by-step explanation:

Semi circle = 78.54 ≈ 78.5

Using formula A = πr²

Area triangle = 24

Using formula A = 1/2(bh)

Sum = 78.5 + 24 = 102.5

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

The scatter plot shows the amount of sleep of aria got the night before a test and her test scores. What type of relationship do u see between amount of sleep and test scores?

Answers

Where’s the scatter plot

Please help in finding area

Answers

780? It’s been awhile since I’ve done area

Michelle’s house is 22 miles due north of Jan’s house and 30 degrees northeast of Richard’s house. Richard’s house is due east of Jan’s house. How far is it from Michelle’s house to Richard’s house?

Answers

Answer:

Michelle’s house is 44 miles to Richard’s house.

Step-by-step explanation:

The distance can be found out by using the trigonometric ratio of sine theta

Sine theta= Perpendicular/ Hypotenuse

We know the values of hypotenuse and theta

Sine 30 = 22/ Hypotenuse

Hypotenuse= 22/ sine 30

Hypotenuse= 22/0.5

Hypotenuse = 44

The hypotenuse marks the distance between Michelle’s house to Richard’s house. Due east means counter clockwise rotation from east.

Write the equation of a line that has a slope of 1 that passes through the point (2,4)

Answers

Answer:

given slope is 1

and passes through 2,4

y-4=m(x-x1)

y-4=1(x-2)

y-4=1x+2

so-1x+y=2

HELP I need the know if it's going across the y or going across the x don't send no FILE ONLY ANSWER IF YOU REALLY KNOW question 6 is what I need help on btw !!

Answers

both the x and y line

Using the box plot of quiz scores below, what percent age of students scored above 85?

Answers

Answer:

that would be B.

Step-by-step explanation:

its at the end and it is only 25% of it there is no way it could be 75% or 50% so the best choice would be 25% B

Can you check and see if I am right please?

Answers

Answer:

Mhm correct

Step-by-step explanation:

Alright ima stop being a stalker now...

Yes you got it right:)

Green line equals to:
4=?

The length of the black minus the blue line:
q-2

Which you get 4=q-2 when you combine.



You also got the second question right because 4+2 is 6

7. A clothing trunk measures 2.5 feet wide by 1.5 feet
high by 4 feet long. What is the volume of the clothin
trunk?

Answers

Answer:

15ft

Step-by-step explanation:

A clothing trunk measures 2.5 feet wide by 1.5 feet high by 4 feet long.

Therefore, the volume would be 15 cubic ft.

What is the volume of the cuboid?

The volume of the cuboid is the product of the length, breadth, and height of the given prism.

Volume of cuboid = (length x width x height)

A clothing trunk measures 2.5 feet wide by 1.5 feet high by 4 feet long.

Volume of cuboid = (length x width x height)

 [tex]2.5\times 1.5 \times 4\\6 \times 2.5\\15[/tex]

Therefore, the volume would be 15 cubic ft.

Learn more about cuboid;

https://brainly.com/question/15843335

#SPJ2

Help me please! Only if you know:)

Answers

Answer:

a,b,c,d

Step-by-step explanation:

ajjskakskskkdkdks

Write and graph the inverse variation in which y = 12 when x = –4. URGENT!!!!!!!

Answers

[tex]12=\frac{k}{-4} \\k = -48[/tex]

Therefore: [tex]y=\frac{-48}{x}[/tex]

A box contains 5 black shirts, 7 blue shirts, 6 black pants, and 12 blue pants. Determine the probability of randomly selecting a blue piece of clothing or a pair of pants. Use the addition rule to explain your answer.

Answers

Answer:

https://www.calculator.net/fraction-calculator.html?t1=2&op=%2F&t2=3&b1=1&b2=1&ctype=1&x=0&y=0

Step-by-step explanation:

This is a fraction calculator for you to use! :)

Help please .............

Answers

Answer:

i believe it would be D

Step-by-step explanation:

A triangle is formed by A(0,1), B(1,0), and C(2,4). If the triangle is rotated 90 degrees counterclockwise, which algebraic representation would be used? Select one:

0 (2, y) + (-1, - y)

O (, y) + (y, - 2)

0 (2,y) → ( - 1, y)

0 (2,y) → ( - y, z)​

Answers

Answer:

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

Step-by-step explanation:

Given

[tex]A = (0,1)[/tex]

[tex]B = (1,0)[/tex]

[tex]C = (2,4)[/tex]

90 degrees counterclockwise rotation

Required

The algebraic representation

Let the coordinate point be [tex](x,y)[/tex]

The rule of 90 degrees counterclockwise rotation is:

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

So, we have:

[tex]A = (0,1)[/tex] [tex]\to (-1,0)[/tex]

[tex]B = (1,0)[/tex] [tex]\to (0,1)[/tex]

[tex]C = (2,4)[/tex] [tex]\to (-4,2)[/tex]

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