see screenshot below/above

An Investment of $10,000 yields 8% interest compounded quarterly.  The accumulated capital after 6 months is $10,404. The accumulated capital after 5 years is $14.859.47

From the information given;

a. we are to determine the amount of the accumulated capital after 6 months.

Now, using the formula for calculating the amount value of the accumulated capital:

[tex]\mathbf{A = P(1 + \dfrac{r}{n})^{nt}}[/tex]

[tex]\mathbf{A = 10000(1 + \dfrac{0.08\times 1}{4})^{4 \times \frac{1}{2}}}[/tex]

[tex]\mathbf{A = 10000(1.02)^2}}[/tex]

A = $10,404

b. we are to determine the amount of the accumulated capital after 5 years

[tex]\mathbf{A = P(1 + \dfrac{r}{n})^{nt}}[/tex]

[tex]\mathbf{A = 10000(1 + \dfrac{0.08\times 1}{4})^{4 \times 5}}[/tex]

[tex]\mathbf{A = 10000(1.02)^20}}[/tex]

A = $14859.47

Therefore, we can conclude that the accumulated capital after 6 months is $10,404 and the accumulated capital after 5 years is $14859.47

Learn more about compound  interest here:

https://brainly.com/question/14295570?referrer=searchResults

Answer:

[tex] \frac{2}{7} [/tex]

[tex] \frac{3}{7} [/tex]

Answer:

I would think its C

Step-by-step explanation:

Since you are subtracting 15 from 275, it would be 275-15

i am assuming you dont need any help on the variables, so I hope this helps :)

If i am wrong, please let me know :DD

have a nice day, *insert preferred referral here*!!

The function that can be used to evaluate 't', the total number of gallons of water in the tank after w weeks is G(t) = 275 - 15w and this can be determined by using the given data.

Given :

The following steps can be used in order to determine the function that can be used to evaluate 't', the total number of gallons of water in the tank after w weeks:

Step 1 - Let the total number of weeks be 'w'.

Step 2 - So, the total amount of water reduced from the tank is:

= 15w

Step 3 - So, the function that can be used to evaluate 't', the total number of gallons of water in the tank after w weeks is given below:

G(t) = 275 - 15w

Therefore, the correct option is B).

For more information, refer to the link given below:

https://brainly.com/question/25834626

No they are not same .

Hope it helps

Answer:

Nope! They are not the same. This is because -3 is a negative whole number. On the other hand, 0.3 converts to 3/10 which is a positive decimal number. Hope this helps. I have attached below a number line showing the two different points (with the given number on each end).

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D

Answer:

y=x-2+√3

Step-by-step explanation:

I'm not sure keep it up

Answer: 好吧，您看到当您将其乘以 73 然后除以 时，您将获得免费的旁遮普语和免费的，乔·佩珀将在凌晨 3 点拜访您

Step-by-step explanation: 详见附件

Answer:

C

Step-by-step explanation:

Answer:

B = (4, 3)

D = (8,6)

Step-by-step explanation:

Go along the X axis until you find the line that fits with B, same with D.

Answer:

When a circle is inscribed in a square , the diameter of the circle is equal to the side length of the square.

You can find the perimeter and area of the square, when at least one measure of the circle or the square is given.

For a square with side length s , the following formulas are used.

Perimeter = 4s

Area = s2

Diagonal = s2√

Similarly, you can find the circumference and area of the circle , when at least one measure of the circle or the square is given.

For a circle with radius r , the following formulas are used.

Circumference = 2πr

Area = πr2

Example 1:

Find the perimeter of the square.

When a circle is inscribed in a square, the diameter of the circle is equal to the side length of the square.

So, the side length of the square is 6 cm.

The perimeter P of a square with side length s is given by P=4s .

Substitute 6 for s in P=4s .

P=4(6)     =24

The perimeter of the square is 24 cm.

Example 2:

What is the area of a circle that is inscribed in a square of area 64 square units?

When a circle is inscribed in a square, the length of each side of the square is equal to the diameter of the circle. That is, the diameter of the inscribed circle is 8 units and therefore the radius is 4 units.

The area of a circle of radius r units is A=πr2 .

Substitute r=4 in the formula.

A=π(4)2     =16π     ≈50.24

Therefore, the area of the inscribe circle is about 50.24 square units.

Step-by-step explanation:

Using the compound interest formula, it is found that the correct option is:

b. Porsha's expression should have 1 + 0.009375 in the parentheses.

Compound interest:

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

In this problem:

Then, the amount is:

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

[tex]A(t) = 5000(1 + \frac{0.0375}{4})^{4(6)}[/tex]

[tex]A(t) = 5000(1 + 0.009375)^{24}[/tex]

Thus, her error is in the parentheses, and the correct option is:

b. Porsha's expression should have 1 + 0.009375 in the parentheses.

A similar problem is given at https://brainly.com/question/25195489

Answer:

X = 40°

Step-by-step explanation:

The triangle on the left is an Isosceles triangle which means it has 2 equal sides. So, to find the third angle, u have to minus 180 and both the base angles.

180° - 35° - 35°

= 110°

Then, minus 180 with the right triangle base bcs a straight line is 180°.

So,

180 - 110

= 70°

Now u got the right triangle base which is also an isosceles triangle so both angles are 70°

Now to find the third angle, minus 180 to both the base angles

180 - 70 - 70

= 40°

And that's your answer.

Answer:

Step-by-step explanation:

840g equals 0.84kg (1000g = 1kg)

(0.84kg/4kg)*(100%) = 21%

Answer:

multiply

Step-by-step explanation:

just multiply all of them and then u will get your answer I hope this helped ❤

Answer:

a = 34

Step-by-step explanation:

Tell me in the comments if you want an explanation!

Hope This Helps! •v•

Answer:

Y = 7/15x + 6/5

Step-by-step explanation:

7x - 15y = -18

7x = 15y - 18

7x + 18 = 15y

7/15x + 6/5 = y

Hope this helps! Pls give brainliest!

We can convert the line 7x − 15y = –18 into slope-intercept form (y = mx + c) by making y the subject of the equation

       7x - 15y = - 18

        7x + 18 = 15y

  ⁷/₁₅ x + ¹⁸/₁₅ = y

Answer:

Step-by-step explanation:

Plot the points x-intercept and intercept on the graph. Join the two points to get the straight line. This is the graph of the linear equation.

__________

[tex] \: [/tex]

[tex] \frac{x + 2}{x - 1} = ...[/tex]

[tex] \longmapsto \frac{ \cancel{x} + 2}{ \cancel{x} - 1} [/tex]

[tex] \longmapsto \frac{2}{ - 1} [/tex]

[tex] \longmapsto \boxed{ \bold{ \red{ - 2}}}[/tex]

Answer:

the answer is Y = -1.5x + 36

Answer:

45.625cm²

Step-by-step explanation:

To solve this, we need to do the area of the circle - the area of the rectangle:

Area of the circle

a = πr² (r is the radius, half the diameter)

a = π × 4²

a = π × 16

a = 16π or 50.265cm²

Area of the rectangle

a = length × width

a = 5 × 1

a = 5cm²

50.265 - 5 = 45.265

Hope this helps!

Answer:

921

Step-by-step explanation:

If he recives 3x amount than his oppenent

than we would divided by 3 from his score to find oppponets score

so....

2763 divided by 3=921

Answer:

134/1111

Step-by-step explanation:

Answer:

Reduce the expression, if possible, by cancelling the common factors.

Exact form:  [tex]\frac{134}{1111}[/tex]

Decimal form: 0.1206...   (repeating)

Answer:

[tex]\boxed{\sf x=-15}[/tex]

Step-by-step explanation:

[tex]\sf 10=x+25[/tex]

[tex]\sf x+25=10[/tex]

[tex]\boxed{\mathrm{Subtract\:}25\mathrm{\:from\:both\:sides}}[/tex]

Answer:

x = -15

Step-by-step explanation:

Answer:

x = 12.2 mi

Step-by-step explanation:

Given the two sides of the right triangle:

a = 6.1 mi

b = 10.6 mi

c = x

Use the Pythagorean Theorem to solve for the value of the hypotenuse, x:

c² = a² + b²

c² = (6.1)² + (10.6)²

c² = 37.21 + 112.36

[tex]\sqrt{(c^{2})} = \sqrt{ 37.21 + 112.36 }[/tex]

[tex]\sqrt{(c^{2})} = \sqrt{ 37.21 + 112.36 }[/tex]

c = 12.2 mi

Therefore, x = 12.2 mi

___________

[tex] \: [/tex]

[tex]\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}[/tex]

x² = (10,6)² + (6,1)²

x² = 112,36 + 37,21

x² = 149,57

x = 12,22mi✔

Answer:

Both Rectangles have a width of 4

Step-by-step explanation:

Answer:

perimeter - 4+2+3+2+5= 16mm

Area -5×4=20mm²

Answer: The front face has an area of 30 ft2. , The top face has an area of 40 ft2. ,

Step-by-step explanation: SOrry if im wrong

Answer: A, C, D

Step-by-step explanation:

Answer:

[tex] \frac{2 {a}^{2} }{3 {b}^{3} } \div \frac{6 {a}^{3} }{5 {b}^{2} } = \frac{2 {a}^{2} }{3 {b}^{3} } \times \frac{5 {b}^{2} }{6 {a}^{3} } = \frac{5}{9ab} \\ \\ \frac{ {x}^{2} - 5x + 6}{ {x}^{2} - 6x + 9} + \frac{4x - 12}{{x}^{2} - 6x + 9} \\ = \frac{{x}^{2} - 5x + 6 + 4x - 12}{{x}^{2} - 6x + 9} \\ = \frac{{x}^{2} - x - 6}{{x}^{2} - 6x + 9} \\ = \frac{(x - 3)(x + 2)}{(x - 3)(x - 3)} \\ = \frac{(x + 2)}{(x - 3)} \\ \\ \frac{3a}{a - b} - \frac{a + 2b}{a - b} \\ = \frac{3a - a + 2b}{a - b} \\ = \frac{2a - 2b}{a - b} \\ = 2\frac{a - b}{a - b} \\ = 2[/tex]

7+66 is 73,so that means 73 x 2

73 x 2 is 146.

So it is 146

Hope you have a great day.

Good luck

Answer:

146x

Step-by-step explanation:

hope it helps

mark me brainliest

i work on this on last friday