To what amount will $1500 grow if compounded semiannually at 6.75% interest for 10 years?

Answers

Answer 1

Answer:

a=1500 (1+6.75%/2)^10×2

a=2913.41

Answer 2

The amount of money that is compounded semiannually at 6.75% interest for 10 years will be $2,913.41.

What is compound interest?

A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.

We know that the compound interest is given as

A = P(1 + r)ⁿ

Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.

The investment is $1,500. If compounded semiannually at 6.75% interest for 10 years.

r = 6.75 / (2 x 100)

r = 0.03375

n = 2 x 10

n = 20

Then the amount of money that is compounded semiannually at 6.75% interest for 10 years will be given as,

A = $1,500 × (1 + 0.03375)²⁰

A = $1,500 × (1.03375)²⁰

A = $1,500 × 1.94227

A = $2,913.41

The amount of money that is compounded semiannually at 6.75% interest for 10 years will be $2,913.41.

More about the compound interest link is given below.

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Related Questions

graph the line y=-3x-2

Answers

slope : 3
y-intercept: (0,2)

Help me. plzzz it's do in 5 minutes and if I don't answer this question I fail this grade and class and I need help step by step or no but help PLZZZZZ​

Answers

Answer:

6 8/15

Step-by-step explanation:

4  1 /5  + 2  1 /3  =  21 /5  + 2  1 /3

=  21 / 5  +  7 /3  =  98 /15  

=6  8 /15

Hope this helped you

At the West Street Bakery, 1/6 of the dessert case holds pies. There are 4 equal size shelves.


Which fraction of the West Street Bakery’s dessert case is taken up by 1 pie shelf?


1/4

2/3

1/24

5/6

Answers

Answer:

1/4 or 1/24

Step-by-step explanation: I am not sure but try and if you get it rong I am sorry

Answer:

Im thinking the answer is 1/24.

Step-by-step explanation:

1/6 divided by 4

6 x 4 = 24

4 x 6 = 24

if you put a fraction first, the answer will be a fraction.

I NEED HELP ASAP!!! I'LL GIVE BRAINLIEST TO THE CORRECT ANSWER!!!

Answers

Nzlspcmmcocosmelpdocoodpwmsn oslwmvkcooskwmocof

HURRRRYYYYY PLEASEEE

Answers

Answer:

5,6,-7

Step-by-step explanation:

yuh jsjsksmsksksks

Answer:

5,6,7

Step-by-step explanation:

A coefficient is a number multiplied by a variable.

Caroline wants to compare the expressions 15-9 and 9 (-15) to determine which result is greater. How can she do this without finding the value of each difference? Explain your reasoning.

Answers

Answer:

15-9 will be greater

Step-by-step explanation:

Caroline wants to compare the expressions 15-9 and 9 (-15)

For us to know the result that is greater, we will have to check if the first value is less than or greater than the other. For example

If for a-b

a-b is greater if a>b

a-b is lesser if a<b

Given 15 - 9

Since 15 > 9, this means that 15-9 will be greater compare to 9-15

Circumference

What is the circumstances
Please help me and thnx u if u help me on this

Answers

Answer:

35.19

Step-by-step explanation:

equation is : C=2πr

[tex] \Large \underline{\tt Given} :[/tex]

Diameter of circle, d = 5.6 cm

[tex] \\ [/tex]

[tex] \Large \underline{\tt To \: Find} :[/tex]

Circumference = ?

[tex] \\ [/tex]

[tex] \Large \underline{\tt Solution} :[/tex]

As, we have diameter of circle is 5.6 cm and radius is half of diameter.

[tex] \tt : \implies Radius, r = \dfrac{d}{2}[/tex]

[tex] \tt : \implies Radius, r = \dfrac{5.6 \: cm}{2}[/tex]

[tex] \tt : \implies Radius, r = \dfrac{\cancel{56} \: cm}{10\times \cancel{2}}[/tex]

[tex] \tt : \implies Radius, r = \dfrac{28 \: cm}{10}[/tex]

[tex] \tt : \implies Radius, r = 2.8 \: cm[/tex]

[tex] \\ [/tex]

Now, for Circumference :

[tex] \Large \underline{\boxed{\bf{Circumference = 2\pi r}}}[/tex]

[tex] \tt : \implies Circumference = 2 \times \dfrac{22}{7} \times 2.8 \: cm[/tex]

[tex] \tt : \implies Circumference = \dfrac{44}{\cancel{7}} \times \dfrac{\cancel{28}}{10} \: cm[/tex]

[tex] \tt : \implies Circumference = 44 \times \dfrac{4}{10} \: cm[/tex]

[tex] \tt : \implies Circumference = \dfrac{176}{10}\: cm[/tex]

[tex] \tt : \implies Circumference = 17.6\: cm[/tex]

[tex] \\ [/tex]

Hence, circumference is 17.6 cm.

-10x+2=14x then 16x=

Answers

Answer:

4/3

Step-by-step explanation:

-10x + 2 = 14x

24x = 2

x = 2/24 or 1/12

16 x 1/12 = 16/12 or 4/3

What are the zeros of the function?
f(x) = x2 - 4x – 5

Answers

its the second one. x=-1 and x=5
If you factor x^2-4x-5 you get (x+1)(x-5) because you’re looking for something that multiplies to give you 5 (c) and something that adds to give you -4 (b). in this case that would be 1 and -5. then you set both (x+1) and (x-5) equal to zero and solve. this gives you your x intercepts/zeros. -1 and 5

Answer:

Its x = 5, x = -1

or B to be more precise

Please I really help!!!!!! I will give brainliest!

Answers

Its the second answer breh brainliest please

:)

FOR A SEC U LOST MY BRAIN  CELLS BUT THEN I UNDERSTOOD IT

how to solve. 14/x=sin(51)

Answers

Step-by-step explanation:

[tex] \frac{14}{x} = \sin(51) \\ x = \frac{14}{ \sin(51) } = 18.015[/tex]


A recipe
needs 250g of butter to make 4 small
cakes. Olav wants to make 10 cakes. He has
1 kg of butter. How much butter will be have
10 cakes ? how much butter will be have
left over after he has made 10 cakes?

Answers

Answer:

375g

Step-by-step explanation:

250g = 4

X = 10

Cross Multiply

2500=4x

Divide both sides by x

x=625

1000-625

375g left

Find the measure of

Answers

Answer:

119

Step-by-step explanation:

because if u see <EAC AND<BAD. are vertical so if u add 62°to 57° or adds up to 119

PLEASE HELP!!!!

Write an equation that could represent the transformation graph (blue line)

Answers

Answer:

Flipping it about the x-axis.

Step-by-step explanation:

The equation that represents the parent function is y=3^x. In order to get the transformed figure, youwould flip it about the x-axis, giving you the equation y=-3^x.

Hope ya got it. Good luck mate.

1 slope y-intercept equation o 6 5 4 3 2 2 3 5 j-intercept​

Answers

Answer:

Step-by-step explanation:

(-1,1) and (0,-2) are points on the line

slope of line = (-2-1)/(0-(-1)) = -3

y-intercept = -2

y = -3x - 2

Laura's new car cost her $21,000. She was told that this make and model depreciates
exponentially at a rate of 8 5/8% per year. How much will her car be worth after 100
months?

Answers

Answer: 9,903.32

Step-by-step explanation: 1. y= 21000(1-0.08625)^x

2. y=21,000(1-0.08625) 100/12 = 9,903.32 replace x with 100/12

The value of Laura's car will be $9,903.32 after 100 months.

What is percentage?

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

The concepts of counting are permutation and combination, and they are used in a variety of contexts. A permutation is a list of the various configurations that can be created from the given set of items. Details are crucial in permutation because the order or sequence is crucial. The order in which the names of the three countries are written matters, whether they are written as "USA, Brazil, Australia" or "Australia, USA, Brazil" or "Brazil, Australia, USA." When combined, the names of three nations form a single unit, regardless of their chronological order.

1. y= 21000(1-0.08625)^x

2. y=21,000(1-0.08625) 100/12 = 9,903.32 replace x with 100/12

Learn more about the Percentage here:

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The sides of a right triangle form an arithmetic sequence with the difference d. Find the area of an inscribed circle in terms of d.

Answers

Answer:

The sides of a right triangle form an arithmetic sequence with the difference is described below in detail.

Step-by-step explanation:

Let's denominate the first term aa and the obvious difference dd. Therefore, your course enhances:

a, a+d, a+2da, a+d, a+2d

Now, these three terms form the sides of a right triangle. Since a+2da+2d is the highest (considering d > 0), we can state that it is the hypothenuse.

applying the Pythagorean Theorem:

a2+(a+d)2=(a+2d)2a2+(a+d)2=(a+2d)2

a2+a2+2ad+d2=a2+4ad+4d2a2+a2+2ad+d2=a2+4ad+4d2

3d2−a2+2ad=03d2−a2+2ad=0

(3d−a)(d+a)=0(3d−a)(d+a)=0

Therefore, your solutions are

3d=a3d=a

andd=−ad=−a

So if a = 3, d = 1. Therfore, one potential  sequence is 3, 4, 5.

Similarly, if a = 6, then d = 2, so another potential sequence is 6, 8, and 10

Janelle earned a 80% on a test and got 72 points. How many total points were possible on the test

Answers

Answer:

90 points

Step-by-step explanation:

90 x .80 = 72 points

4. Antonio is designing a
swimming pool on a coordinate grid. Is it a rectangle

Answers

The picture is black

Shen’s mother gave him $10 to go buy groceries. He picked up a gallon of milk for $3.49, three pounds of oranges that cost $1.14 per pound, and a box of cereal for $3.46. Shen used front-end estimation to determine whether he had enough money for the groceries. How much did he estimate the total cost would be?
He estimated that he had about $7 worth of groceries.
He estimated that he had about $9 worth of groceries.
He estimated that he had about $10.30 worth of groceries.
He estimated that he had about $10.40 worth of groceries.What is the value of –112.84 – 54.14 – (–29.18)?

Answers

Shen’s mother gave him $10 to go buy groceries. He picked up a gallon of milk for $3.49, three pounds of oranges that cost $1.14 per pound, and a box of cereal for $3.46. Shen used front-end estimation to determine whether he had enough money for the groceries. How much did he estimate the total cost would be?He estimated that he had about $7 worth of groceries.He estimated that he had about $9 worth of groceries.He estimated that he had about $10.30 worth of groceries.He estimated that he had about $10.40 worth of groceries.What is the value of –112.84 – 54.14 – (–29.18)?Total cost would be $10.37 which is $(10.37 - 10) = $0.37 higher than the amount given to him by his mother.

Gary’s bank account dropped $5 in value every day for 4 days. Find the integer that represents the change in value of his stock during that time.


1. $20
2. -$20

Answers

Answer:

- 20

Step-by-step explanation:

5x4 = 20

price drops so negative

Answer:

2

Step-by-step explanation:

-$5 * 4 = -$20

Dropping in value is negative

What is JL brainliest for answer

Answers

Answer:

JL = 12.5

Step-by-step explanation:

[tex] In\: \triangle JKL, KM\perp JL[/tex]

Therefore, by geometric mean property:

[tex] KM^2 = JM\times ML[/tex]

[tex] 6^2 = 8\times ML[/tex]

[tex] 36 = 8\times ML[/tex]

[tex] \frac{36}{8} = ML[/tex]

[tex]ML= 4.5 [/tex]

JL = JM +ML

JL = 8 + 4.5

JL = 12.5

what is 6(-4k-2)??????????​

Answers

Answer:

-24k - 12

Step-by-step explanation:

6(-4k - 2)

-24k - 12

Answer: 36k

Step-by-step explanation: 6(-4k-2) The u disrtube the 6 into ach number in teh perenteces making 6x-4= -24 and 6x2=12 whichs changes the problem to -24-12 which is equal to 36k. Hope this helps :)

Abby filled her goodie bags with 4 cookies and 3 candy bars and spent a total of $10.25 per bag. Marissa filled her goodie bags with 2 cookies and 7 candy bars and spent a total of $14.75 per bag. Each cookie (x) costs the same amount. Each candy bar (y)costs the same amount. Write the system of linear equations that represent the contents of

Answers

Answer: See explanation

Step-by-step explanation:

The information given in the question can be presented into an equation as:

4x + 3y = 10.25 ...... equation i

2x + 7y = 14.75 ........ equation ii

Multiply equation i by 2

Multiply equation ii by 4

8x + 6y = 20.50 ...... equation iii

8x + 28y = 59 ...... equation iv

Subtract equation iii from iv

22y = 39.50

y = 39.50/22

y = 1.80

Each candy bar cost $1.80

From equation i

4x + 3y = 10.25

4x + 3(1.80) = 10.25

4x + 5.40 = 10.25

4x = 10.25 - 5.40

4x = 4.85

x = 4.85/4

x = 1.2125

Each cookie cost $1.2125

What is the unknown side length

Answers

Answer:

x = 5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right  

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

a is a legb is another legc is the hypotenuse

Step-by-step explanation:

Step 1: Identify Variables

Leg a = x

Leg b = 12

Hypotenuse c = 13

Step 2: Solve for x

Substitute in variables [Pythagorean Theorem]:                                          x² + 12² = 13²Evaluate exponents:                                                                                       x² + 144 = 169[Subtraction Property of Equality] Subtract 144 on both sides:                  x² = 25[Equality Property] Square root both sides:                                                  x = 5

Please answer please will give brainless

Answers

Answer:

7/4

Step-by-step explanation:

x(x+7)=4x+10
then needs to get the normal form of the equation
x= ?, x=?

Answers

Answer:

x = - 5, x = 2

Step-by-step explanation:

Given

x(x + 7) = 4x + 10 ← distribute left side

x² + 7x = 4x + 10 ( subtract 4x + 10 from both sides )

x² + 3x - 10 = 0 ← in standard form

(x + 5)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x - 2 = 0 ⇒ x = 2

please please help me i need it

Answers

Answer:

3 and 1/2 cups

Step-by-step explanation:

Answer:

[tex]4\frac{1}{2}[/tex]

Step-by-step explanation:

1 batch = 1 1/2 cup of flour

[tex]1\frac{1}{2} +1\frac{1}{2}+1 \frac{1}{2}[/tex]

add the whole numbers and the numerators

[tex]3\frac{3}{2}[/tex]

simplify

[tex]4\frac{1}{2}[/tex]

can u help me plzzzz.​

Answers

Answer:

A

Step-by-step explanation:

A is the only one that passes the vertical line test

(the vertical line test is when you can draw a line anywhere on the graph and it only touches the graph once) (another way of thinking about this is "no two points can have the same value on the x axis)

Are the triangles similar? If so state the similarity and the postulate or theorem that justifies your answer.

Answers

Answer:

A

Step-by-step explanation:

∆ABC is similar to ∆DEF if and only if the ratio of their corresponding side lengths are the same.

Let's find out:

DE/AB = 10/5 = 2

EF/BC = 8/4 = 2

FD/CA = 12/6 = 2

The ratio of their corresponding side lengths are equal, therefore, ∆ABC is similar to ∆DEF based on the SSS Similarity Theorem.

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