Please help with question

if £500 is invested for 3 years at a rate of compound interest of 4% per annum how much will be in the account after three years

Hoochie [10]

Answer:

£562.43

Step-by-step explanation:

£500 is invested for 3 years at a rate of compound interest of 4% per annum how much will be in the account after three years

Given data

P= £500

t= 3 years

r= 4%

The expression for the compound interest is given as

A= P(1+r)^t

substitute

A= 500(1+0.04)^3

A= 500(1.04)^3

A= 500*1.124864

A= 562.432

Hence the final amount is £562.43

4 0

2 years ago

What is the length of the base of a yield sign that has a height of 14 inches and has an area of 84 square inches? Write the num

Rufina [12.5K]

That's simple, it is 6. Hope this helps.

4 0

3 years ago

Read 2 more answers

Ok need help this is the question :Use the Pythagorean theorem to write an equation for the distance Jane's trainer bikes.

IRINA_888 [86]

Answer:

Jane traveled 8 miles farther then her trainer

Step-by-step explanation:

The Pythagora's Theorem

In any right triangle, the square of the measure of the hypotenuse is the sum of the squares of the legs. This can be expressed with the formula:

$c^2=a^2+b^2$

Where

c = Hypotenuse or largest side

a,b = Legs or shorter sides

Jane's path from the Health Club to the end of her route describes two sides of a right triangle of lengths a=16 miles and b=12 miles.

Her total distance traveled is 16 + 12 = 28 miles

Her trainer goes directly from the Health Club to meet her through the hypotenuse of the triangle formed in the path.

We can calculate the length of his route as:

$c=\sqrt{16^2+12^2}$

$c=\sqrt{256+144}=\sqrt{400}=20$

c = 20 miles

The difference between their traveled lengths is 28 - 20 = 8 miles

Jane traveled 8 miles farther then her trainer

8 0

3 years ago

Marris decides to bake his parents a cookie in the shape of a regular dodecagon (12‑gon) for their 12-day anniversary.

allochka39001 [22]

Answer:

The answer to each question is:

A.) 403.2 $cm^{2}$
B.) 100. 8 $cm^{2}$

Step-by-step explanation:

A.) To obtain the area of the dodecagon, you can use the next formula:

Area of a dodecagon = 6 * apothem * edge

In the exercise, we have the edge (6 cm), but, to find the apothem of a dodecagon, that is the distance between the center of the polygon, and the middle point of each side, you can use the next formula:

Apothem = Edge * $\frac{2+\sqrt{3}}{2}$

If we replace the value of the edge, we obtain:

Apothem = 6 cm * $\frac{2+\sqrt{3}}{2}$
Apothem = 11.2 cm (approximately).

With this data, we can find the area:

Area of a dodecagon = 6 * apothem * edge
Area of a dodecagon = 6 * 11.2 cm * 6 cm
Area of a dodecagon = 403.2 $cm^{2}$

Then, the area of the dodecagon is 403.2 $cm^{2}$ approximately.

B.) As the area obtained is for 12 pieces, when the parents ate 9 pieces, just left 3 pieces, with these values you can make a rule of three.

If:

12 pieces = 403.2 $cm^{2}$
3 pieces = X

Then:

X = (3 * 403.2 $cm^{2}$ ) / 12
X = 1209.6 $cm^{2}$ / 12
X = 100. 8 $cm^{2}$

In this form, when the cookie has 3 pieces, its area is 100. 8 $cm^{2}$ approximately.

5 0

3 years ago

Each time Sarah went to the Candy Shoppe, she bought b bags of M&Ms. Write an expression for how many bags she will buy if s

andrey2020 [161]

Answer:

$b \times 2$

Step-by-step explanation:

The reason is because you don't know the Inital amount she bought and because she visits two days in a row you would multiply

6 0

1 year ago

Please help with question ​

Please help with question