You deposit $300 in a savings account that pays 6% interest compounded semiannually. How much will you have at the middle of the first year? How much at the end of one year?

Answers

Answer 1

Answer:

Please check the explanation.

Step-by-step explanation:

a)  How much will you have at the middle of the first year?

Principle P = $300

Annual rate r = 6% = 0.06 per year

Compound n = Semi-Annually = 2

Time (t in years) = 0.5 years

Total amount = A = ?

Using the formula

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

substituting the values

[tex]A=300\left(1+\frac{0.06}{2}\right)^{\left(2\right)\left(0.5\right)}[/tex]

[tex]A=300\cdot \frac{2.06}{2}[/tex]

[tex]A=\frac{618}{2}[/tex]

[tex]A=309[/tex] $

Therefore, the total amount accrued, principal plus interest,  from compound interest on an original principal of  $ 300.00 at a rate of 6% per year  compounded 2 times per year  over 0.5 years is $ 309.00.

Part b) How much at the end of one year?

Principle P = $300

Annual rate r = 6% = 0.06 per year

Compound n = Semi-Annually = 2

Time (t in years) = 1 years

Total amount = A = ?

Using the formula

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

so substituting the values

[tex]A\:=\:300\left(1+\frac{0.06}{2}\right)^{\left(2\right)\left(1\right)}[/tex]

[tex]A=300\cdot \frac{2.06^2}{2^2}[/tex]

[tex]A=318.27[/tex] $

Therefore, the total amount accrued, principal plus interest,  from compound interest on an original principal of  $ 300.00 at a rate of 6% per year  compounded 2 times per year  over 1 year is $ 318.27.


Related Questions

parallel to the line y=2/5x+4 passes through (7,6); write in point-slop form

Answers

Answer:

85555555555555555

Step-by-step explanation:

write the place value of each decimals 1.0 59​

Answers

Answer:

1.059×1000 is the value of the following

Answer:

1=ones

0=tenths

5=hundredths

9= thousandths

Hope this helps

Step-by-step explanation:

For homework, Ari had to find 5% of $900. Did he do the work correctly? A tape diagram. There are 5 parts out of a whole of 100. There are question mark parts out of a whole of 900. StartFraction part Over whole EndFraction = StartFraction 100 times 180 Over 5 times 180 EndFraction = StartFraction 18,000 Over 900 EndFraction Are Ari’s calculations correct? No. Ari multiplied the denominators incorrectly. No. Ari should have written the percent ratio as StartFraction 5 Over 100 EndFraction No. Ari should have divided, not multiplied. Yes. Ari’s work is correct.

Answers

Answer:

B

Step-by-step explanation:

i took the test lol

Answer: For homework, Ari had to find 5% of $900. Did he do the work correctly?

A tape diagram. There are 5 parts out of a whole of 100. There are question mark parts out of a whole of 900.

Start Fraction part Over whole EndFraction = StartFraction 100 times 180 Over 5 times 180 End Fraction = StartFraction 18,000 Over 900 EndFraction

Are Ari’s calculations correct?

x No. Ari multiplied the denominators incorrectly.

✔ No. Ari should have written the percent ratio as StartFraction 5 Over 100 EndFraction

x No. Ari should have divided, not multiplied.

x Yes. Ari’s work is correct.

How many solutions does the system of equations below have?
x − 4y = 6
2x − 8y = 12

Answers

Answer: Infinitely many solutions.

Step-by-step explanation:

When looking at the system, it is immediately clear that the second equation is simply the first equation with all terms multiplied by 2. Therefore, there are infinite solutions because these are actually the same exact line when graphed and will always equal each other no matter what the values for x and y are.

apply the distributive property to create an equivalent expression

(6e - 3f - 4) . 2 =

Answers

Answer:

12e - 6f - 4

Step-by-step explanation:


y is inversely proportional to the square of x.

When x=3, y=8

Work out an equation connecting y and x.

Answers

Step-by-step explanation:

x²y = k, where k is a real constant.

When x = 3, y = 8.

Therefore k = (3²)(8) = 72.

The equation is x²y = 72 or y = 72/x².

A school fair is selling tickets. On the first day they sell 1 adult ticket and 4 child tickets to make $63. On the second day they make $105 by selling 3 adult tickets and 5 child tickets. How much do adult tickets cost? How much are child tickets?
(Pls show work)​

Answers

Answer:

1 adult ticket costs $9.45

1 child ticket cost $3.15

Step-by-step explanation:

63/5 = 12.6

12.6/4 = 3.15

12.6 - 3.15 = 9.45

I think this is correct if not search up

7. A rectangular lot is entirely enclosed by a fence.
If the lot measures 225 feet long and 165 feet
wide, what is the length, in yards, of the fence?
a. 360
b. 390
c. 260
d. 1,560
e. 2,340

Answers

Answer:

it is 390

Step-by-step explanation:

Help me please asappp

Answers

we can’t really see the picture it’s sideways :)

Helppp please will give brailiest

Answers

The perimeter is 375 feet.

Can someone help me out with this please and thank you

Answers

Answer:

C

Step-by-step explanation:

C because -A is less than -C due to how it is positioned on the number line

Which of the following values represents (f^-1)'(-1/8) where f(x) = (3x - 1)^3?

A. -1/2
B. 4/9
C. 9/4
D. 1/6
E. -1/6

Answers

Answer:

Answer:A.

x f(x)

-2 4

-1 1

0 0

1 1

2 4

B.

x f(x)

1 6

2 7

3 8

4 9

5 10

C.

x f(x)

-2 -3

-1 -1

0 1

1 3

2 5

D.

x f(x)

1 3

2 6

3 9

4 12

5 15

Step-by-step explanation:

The required simplified value of the [f⁻¹(1/8)]' is 4 / 9. Option B is correct.

What is implicit differentiation?

The method of determining the derivative of an implicit function by differentiating each term separately, expressing the derivative of the dependent variable as a symbol, and solving the resulting expression for the symbol.

Here,
Let f(x) = y
Given function,
y = [3x -1]²
The inverse of the above function is given as,
f⁻¹(x) = [∛x + 1]/3
Differentiate the above inverse function,
[f⁻¹(x)]' = 1/[9x²/³]
Substitute x = 1/8
[f⁻¹(1/8)]' = 1/[9(1/8)²/³]

[f⁻¹(1/8)]' = 4 / 9

Thus, the required simplified value of the [f⁻¹(1/8)]' is 4 / 9. Option B is correct.

Learn more about implicit differentiation; https://brainly.com/question/11887805

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Write the number five million four thousand three hundred in standard form.

Answers

Answer:

5,004,300

Step-by-step explanation:

PLEASE HELP!!!!!

Which of the following is one of the standard forms of a hyperbola
centered at (h,k)?

Answers

Given:

Center of hyperbola is at (h,k).

To find:

The standard forms of a hyperbola.

Solution:

We know that, standard forms of a hyperbola are

1. For Horizontal hyperbola:

[tex]\dfrac{(x-h)^2}{a^2}-\dfrac{(y-k)^2}{b^2}=1[/tex]

2. For Vertical hyperbola:

[tex]\dfrac{(y-k)^2}{a^2}-\dfrac{(x-h)^2}{b^2}=1[/tex]

where, (h,k) is center of the hyperbola.

Therefore, the correct option is B.

2.4 - 5.5 -4n + 8?
Simplify your answer use integers or decimal for any numbers in the expression

Answers

Answer:

4.9 - 4n

Step-by-step explanation:

Given the expression;

2.4 - 5.5 -4n + 8?

Collect like terms;

2.4 - 5.5 -4n + 8?

2.4 - 5.5 + 8-4n

-3.1 + 8 - 4n

4.9 - 4n

Hence the simplified form of the equation is 4.9 - 4n

What is this? Please answer with an explanation

Answers

Answer:

5

Step-by-step explanation:

1. in order to calculate all the required values, it needed to solve:

[tex]\sqrt{x-5} \geq 0; \ <=> \ x\geq 5.[/tex]

2. x≥5 means, that x∈[5;+∞), where beginnig is '5'.

A bus travels 18 km in 30 minutes. What is the average speed of the bus?

Answers

Answer:

36km hr

Step-by-step explanation:

Solve the following
1. 1/3 × 2/5 =

2. 5/6 × 5/9 =

3. 1/5 × 3/7 =

4. 5/7 × 3/8 =

5. 3/10 × 2/4 =

6. 2/5 × 2/10 =

7. 1/8 × 2/3 =

8. 1/5 × 1/2 =

9. 1/2 × 2×7 =

10. 4/5 × 3/8 =​

Answers

Answer:

1. 2/15.
2. 25/54.
3. 3/35.
4. 15/56.
5. 3/10.
6. 2/25.
7. 1/12.
8. 1/10.
9. 7.
10. 3/10.

there are 120 voters 90 of them voted yes what percent voted yes​

Answers

Answer:

75%

Step-by-step explanation:

according to college survey, 22% of all students work full time. find the mean for the random variable X, the number of students who work full time in smaples of size 16

Answers

Answer:

[tex]Mean = 3.52[/tex]

Step-by-step explanation:

Given

[tex]Sample\ Size = 16[/tex]

[tex]Proportion = 22\%[/tex]

Required

Determine the mean of the proportion

The mean or expected value of a sample is calculated by multiplying the sample size by the proportion as follows;

[tex]Mean = n *p[/tex]

Where

[tex]n = 16[/tex] -- Sample Size

[tex]p = 22\%[/tex] -- Proportion

So:

[tex]Mean = n *p[/tex] becomes

[tex]Mean = 16 * 22\%[/tex]

Convert 22% to decimal

[tex]Mean = 16 * 0.22[/tex]

[tex]Mean = 3.52[/tex]

Hence, the mean is 3.52


- Which expression shows 50 + 30 written as a product of two factors?
10(5+2)
5(10+3)
5(10 + 7)
10(5+3)

Answers

Answer:

10(5+3)

Step-by-step explanation:

The required expression would be 10(5+3) which is written as a product of two factors and the correct answer would be option (D).

What is Prime Factorization?

Prime Factorization is defined as any number that may be expressed as a product of prime numbers that has been said to be prime factorized. Any integer with exactly two factors 1 and the number itself. is said to be a prime number.

We have been given that expression as:

⇒ 50 + 30

We need to write 50 and 30 as the product of its prime factors,

50 = 5 × 5 × 2  and 30 = 2 × 3 × 5

So 50 + 30

⇒ 5 × 5 × 2 + 2 × 3 × 5

Common factor out, and we get

⇒ 5 × 2 (5 + 3)

⇒ 10(5 + 3)

Therefore,  the correct answer would be an option (D).

Learn more about Prime Factorization here:

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Solve the system of linear equations by elimination. Check your solution.

Answers

Answer:

x = 3

y = -1

Step-by-step explanation:

(x-y) + (x+y) = 4 + 2

2x = 6

x = 3

sub x=3 into x+y=2

3+y=2

y=2-3

y=-1

Check by subbing x=3 and y=-1 into x-y=4

(3)-(-1) = 3+1 = 4

Analyze the diagram below and complete the instructions that follow.

Find the value of x and the value of y.
A. x=22/2, y = 8
B. X= 2, y = 416
C. x=21/2, y= 2/6
D. x= 23, y = 613

Answers

Answer:

[tex]\displaystyle y=2\sqrt{6}[/tex]

[tex]\displaystyle x=2\sqrt{2}[/tex]

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios.

The longest side of the right triangle is called the hypotenuse and the other two sides are the legs.

Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.

The image provided shows a right triangle whose hypotenuse is given. We are required to find the value of both legs.

Let's pick the angle of 30°. Its adjacent side is y. We can use the cosine ration, which is defined as follows:

[tex]\displaystyle \cos 30^\circ=\frac{\text{adjacent leg}}{\text{hypotenuse}}[/tex]

[tex]\displaystyle \cos 30^\circ=\frac{y}{4\sqrt{2}}[/tex]

Solving for y:

[tex]y=4\sqrt{2}\cos 30^\circ[/tex]

Since:

[tex]\cos 30^\circ=\frac{\sqrt{3}}{2}[/tex]

[tex]\displaystyle y=4\sqrt{2}\frac{\sqrt{3}}{2}[/tex]

Simplifying:

[tex]\displaystyle y=2\sqrt{6}[/tex]

Now we use the sine ratio:

[tex]\displaystyle \sin 30^\circ=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]

[tex]\displaystyle \sin 30^\circ=\frac{x}{4\sqrt{2}}[/tex]

Solving for x:

[tex]x=4\sqrt{2}\sin 30^\circ[/tex]

Since:

[tex]\sin 30^\circ=\frac{1}{2}:[/tex]

[tex]\displaystyle x=4\sqrt{2}\frac{1}{2}[/tex]

Simplifying:

[tex]\displaystyle x=2\sqrt{2}[/tex]

The choices are not clear, but it seems like the correct answer is C.

[tex]\boxed{\displaystyle y=2\sqrt{6}}[/tex]

[tex]\boxed{\displaystyle x=2\sqrt{2}}[/tex]

Jerry sold hot dogs at the county fair. If he sold 8 hot dogs for 40 dollars, how much money would he make if he sold 24 hot dogs?

Answers

Answer:

120

Step-by-step explanation:

5 x 24 is 120. i used a calculator

Answer: If he sold 24 hot dogs he made $120.

Step-by-step explanation:

$40/8=$5 per hot dog

$5*24=$120

What is the surface area of the cube below?
4 m
4 m
4 m
12 square meters
64 square meters
80 square meters
96 square meters

Answers

Answer: A=6a2

Step-by-step explanation:

did it help?^﹏^

express x squared + 4 x -7 in the form (x+a) squared-b where a and b are integers​

Answers

Answer:

x² + 4x - 7 = (x + 2)² - 11

Step-by-step explanation:

Let us solve the question

∵ The expression is x² + 4x - 7

∵ The form is (x + a)² - b

→ To express the equation in the given form quate them

x² + 4x - 7 = (x + a)² - b

→ Simplify the right side then equate the like terms to find a and b

∵ (x + a)²  = (x + a)(x + a)

∴ (x + a)² = (x)(x) + (x)(a) + (a)(x) + (a)(a)

∴ (x + a)² = x² + ax + ax + a²

→ Add the like terms

∵ (x + a)² = x² + (ax + ax) + a²

(x + a)² = x² + 2ax + a²

→ Substitute (x + a)² in the right side by x² + 2ax + a²

x² + 4x - 7 = x² + 2ax + a² - b

→ Equate the coefficients of the like terms

∵ 4x and 2ax are like terms

4 = 2a

→ Divide both sides by 2

2 = a

∵ -7 and a² - b are like terms ⇒ constant terms

-7 = a² - b

∵ a = 2

∴ -7 = (2)² - b

∴ -7 = 4 - b

→ Subtract 4 from both sides

∵ -7 - 4 = 4 - 4 - b

∴ -11 = -b

→ Divide both sides by -1

11 = b

→ Substitute the values of a and b in the given form

∴ (x + a)² - b = (x + 2)² - 11

x² + 4x - 7 = (x + 2)² - 11

explain how to find 45% of a number

A-multiply the number by 0.45.
B-Divide the number by 4.5.
C-Divide the number by 45.
D-multiply the number by 4.5.​

Answers

B- Divide the number by 4.5

If one was to find what 45% of a certain number was, they would have to A-multiply the number by 0.45.

To find the percentage of a number, the following equation applies:

= 45% x Number

45% when written as a decimal is:

= 45 ÷ 100

= 0.45

The equation can therefore be written as:

= 0.45 x Number

In conclusion, 45% of a number can be found by multiplying it by 0.45.

Find out more at https://brainly.com/question/3859567.

Sheila walked 7.7 km to the library.



Using the table above, about how many miles did she walk?

Answers

Answer:

Sheila walked 6 Miles.

Step-by-step explanation:

6 Miles

PLEASE HELP ME WITH THIS QUESTON 19 THE TABLE IS NEXT TO IT

Answers

Answer:

11.8 miles on 0.1 gallons of fuel

1180 miles on 10 gallons of fuel

Step-by-step explanation:

Answer:

row 1: 0.1 gallons = 11.8 miles

row 3: 10 gallons = 1180 miles

Step-by-step explanation:

if 1 gallon = 118 miles, you can use the 118 and multiply o.1 or 10.

What is the total? Add those together.

Answers

Answer:

whats the whole question

Step-by-step explanation:

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