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LuckyWell [14K]

3 years ago

10

Kathleen deposits $20 into her account that earns 2.5% interest that is compounded twice a year. How much money will Kathleen ha

ve in her account in 30 years?

1 answer:

Arada [10]3 years ago

8 0

A=20×(1+0.025÷2)^(2×30)
A=42.14

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Two cones are similar. The surface area of the larger cone is 65π square inches. The surface area of the smaller cone is 41.6π s

devlian [24]

Answer:

8 inches

Step-by-step explanation:

The surface area of a cone (without the base) is given by:

Surface area = pi*r*s

Where r is the base radius and s is the slant height.

The smaller cone has a surface area of 41.6pi in2 and a radius of 6.4 inches, so the slant height is:

41.6pi = pi*r*s

41.6 = 6.4s

s = 6.5 in

If the cones are similar, the radius and the slant height increase in the same proportion, so we have that:

r'/s' = r/s = 6.4/6.5

s' = r'*6.5/6.4

So for the larger cone, we have:

65pi = pi*r'*s'

65 = r'*r'*6.5/6.4

r'^2 = 64

r' = 8 inches

5 0

3 years ago

Read 2 more answers

I will give BRAINLIEST to the correct answer <br> Find the measure of

Damm [24]

Answer: SOLN,

let,<FHC be x

<GHC+<FHC( sum of angle of triangle=180 degree

x+6m+55+8m+55=180

x+ 14m+110=180

x+14m=180-110

x+14m=70

x=70 divied by 14m

x=5m

therefore,the value of <FHC is 5m.

6 0

3 years ago

1/3 = x/15 What is the value of x?

zysi [14]

Answer:

$\huge\boxed{x=5}$

Step-by-step explanation:

$\dfrac{1}{3}=\dfrac{x}{15}\qquad\text{cross multiply}\\\\3x=15\qquad\text{divide both sides by 3}\\\\x=5$

4 0

2 years ago

Given: rectangle ABCD is similar to rectangle ZBXY. If ZY = 5, XC = 3, DC = 4, then XY =

soldier1979 [14.2K]

Answer:

The length of XY is either 10 or 2.5.

Step-by-step explanation:

Given information: ZY = 5, XC = 3 and DC = 4.

Case 1: Rectangle ABCD is smaller than ZBXY.

The opposite sides of the rectangle are same.

$ZY=BC+XC$

$5=BC+3$

$2=BC$

The length of ABCD is 4 and width of ABCD is 2. The width of ZBXY is 5. The corresponding sides of the similar rectangles are is in the same proportion.

$\frac{4}{XY}=\frac{2}{5}$

$\frac{4\times 5}{2}=XY$

$10=XY$

Therefore the value of XY is 10.

Case 2: Rectangle ABCD is larger than ZBXY.

$ZY=BC-XC$

$5=BC-3$

$8=BC$

The length of ABCD is 4 and width of ABCD is 8. The width of ZBXY is 5. The corresponding sides of the similar rectangles are is in the same proportion.

$\frac{4}{XY}=\frac{8}{5}$

$\frac{4\times 5}{8}=XY$

$2.5=XY$

Therefore the value of XY is 2.5.

7 0

3 years ago

Read 2 more answers

Gonzalo observa que el grifo del lavabo de un año después el goteo se produce una velocidad de una gota por segundo y cada gota

Sergio [31]

Answer:

La familia de Gonzalo ha despilfarrado 15,768 litros de agua.

Step-by-step explanation:

Dado que Gonzalo observa que el grifo del lavabo gotea luego de un año, y el goteo se produce una velocidad de una gota por segundo y cada gota contiene 0.5ml de agua, para determinar cuántos litros de agua ha despilfarrado la familia de Gonzalo desde que ellos se dieron cuenta de la avería se debe realizar el siguiente cálculo:

1 año = 365 dias x 24 horas x 60 minutos x 60 segundos

0.5 x 60 x 60 x 24 x 365 = X

30 x 60 x 24 x 365 = X

1800 x 24 x 365 = X

43,200 x 365 = X

15,768,000 = X

15,768,000 / 1000 = X

15,768 = X

Por lo tanto, la familia de Gonzalo ha despilfarrado 15,768 litros de agua.

5 0

2 years ago