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ruslelena [56]
4 years ago
9

Felix's parents opened a savings

Mathematics
1 answer:
Crazy boy [7]4 years ago
4 0

The money in the Felix's account will be $6798 when he is 21.

<u>Step-by-step explanation:</u>

It is given that,

  • The amount deposited is $2000.
  • The account earns 6%  compound interest.
  • It is compounded  annually for 21 years.

<u>To find the money in Felix's account after 21 years :</u>

The formula used here is,

⇒ A = P(1+r/n)^{nt}

where A is the amount after 21 years.

  • P is the initial amount deposited ⇒ P = 2000
  • r is the rate ⇒ r = 0.06
  • n is the number of times interest is compounded per year⇒ n = 1
  • t is the time period ⇒ t = 21

⇒ 2000(1+0.06/1)^{21\times 1}

⇒ 2000(1.06)^{21}

⇒ 2000\times3.399

⇒ 6798

Therefore, The money in the Felix's account will be $6798 when he is 21.

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Answer: 2.1 km

Step-by-step explanation:

Given

A road map has a scale of  1:30,000

The length of road on the map is 7\ cm

The ratio of length on the map to the length on road is 1:30,000

Suppose x is the length of real road

\Rightarrow \dfrac{7}{x}=\dfrac{1}{30,000}\\\Rightarrow x=30,000\times 7\ cm\approx 2.1\ km

8 0
3 years ago
2) What is the next number? 3 4 6 9 13 18 24
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3 George has a rectangular deck that is 9 feet wide and 6 feet long. He builds a
LiRa [457]

Answer:

Area=216\ ft^2

Step-by-step explanation:

-Given that the dimensions of the new deck are double the dimensions of the old deck:

New \ Length=2(Old \ Length)=2\times 9=18\ ft\\\\New \ Width=2(Old \ Width)=2\times 6=12\ ft

#The area of the new deck can now be calculated as:

Area=Length\times Width\\\\=18\times 12\\\\=216\ ft^2

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7 0
4 years ago
I
Ainat [17]

Answer:

a. 5.25cm

b. 374.6 cm^2

Step-by-step explanation:

The radius of the conical cup is half the length of the arc formed

Mathematically, the length of the arc would be;

L = theta/360 * 2 * pi * r

L = 135/360 * 2 * 22/7 * 14 = 33 cm

Now, the arc of this sector will become the base circumference of the circular base of the cone

Thus;

2 * pi * R = 33

2 * 22/7 * R = 33

R = (7 * 33)/44 = 5.25 cm

b. The volume of the cone

Kindly note that the radius of the circle becomes the height of the cone

Mathematically;

V = 1/3 * pi * r^2 * h

Kindly note that the radius of the circle will become the slang height of the cone

We can use pythagoras’ theorem to find the height of the cone

Pythagoras theorem states that the square of the hypotenuse equals the sum of the squares of the two other sides

So here, slant height l is the hypotenuse, h and r are the other two sides

So 14^2 -5.25^2 = h^2

h^2 = 168.4375

h = 12.98 cm

Volume is thus ;

1/3 * pi * 5.25^2 * 12.98 = 374.6 cm^3

3 0
4 years ago
a tank containing 50 liter of water develops a leak and loss water at a constant rate. after 20 minutes it contains 40 liter. af
weqwewe [10]

Answer:

<em>The tank's capacity is 500 liters</em>

Step-by-step explanation:

<u>Proportions</u>

The tank initially contains 50 liters of water. The tank's capacity is more than that, as we'll show later.

We know after 20 minutes of leaking from the tank, 40 liters still remain. This means 10 liters have leaked in 20 minutes. The loss of water occurs at a constant rate or 10/20=0.5 liters per minute.

After 30 more minutes, the tank has lost 0.5*30 = 15 more liters of water and now has 40 - 15 = 25 liters remaining.

We are told those 25 liters correspond to 5% of the tank's full capacity. Thus, the full capacity of the tank is:

\displaystyle \frac{25 }{ (5 / 100)} = 500~liters

The tank's capacity is 500 liters

3 0
3 years ago
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