Which of the following would earn the same amount of interest as a $600 principal with 2.5%

A fish tank, in the shape of a rectangular prism with dimensions 51 cm by 39 cm by 28 cm, is 95% filled with water. A solid log

GenaCL600 [577]

Answer:

The end answer is 669.4

Step-by-step explanation:

So you take the volume of the fish tank: 51*39*28=55692, but the tank is only 95% full, so you take 55692 and divide it by 100 and multiply it by 95, you get 52907.4. Then you calculate the volume of the log: 3.14*5^2*44=3454.

Now that we know these values, we take the volume of the water which is 52907.4 and add the volume of the log 3454 which gets you 56361.4.

Now we know the combined volume of the water and the log, we can remove the volume of the tank, which will still be holding the water that hasn't exceeded the capacity of the tank: 56361.4-55692=669.4

So then we know what has exceeded the capacity of the tank, which is how much water has spilled

So the water spilled equals 669.4 cubic centimetres of water.

6 0

3 years ago

AREA, PERMITER AND VOLUME QUESTIONS.

castortr0y [4]

Answer:

Step-by-step explanation:

(A) The radius of the circle is=1.8m

Then diameter will be: 2r= $2{\times}1.8=3.6 m$

Circumference of circle= ${\pi}d$ = $3.14{\times}3.6=11.304 m$

Area of the circle= ${\pi}r^{2}=3.14{\times}(1.8)^{2}=10.17 m^{2}$

(B) The area of the rectangular backboard of basketball court = 18900 $cm^{2}$

Width=180cm

Area of rectangle= l{\times}b[/tex]

18900=l{\times}180[/tex]

$l=105 cm=1.05m$

Perimeter of the seating space=2(l+b)

= $2(32.5+18.4)$

= $101.8 m$

Perimeter of the basketball court=2(l+b)

= $2(15+28)$

= $86 m$

Now, total perimeter= perimeter of the basketball court+perimeter of the seating space.

Total perimeter= $101.8+86=187.8 m$

Area of the seating space= $l{\times}b$

= $32.5{\times}18.4=598 m^{2}$

(C) The shape consists of one square and 4 triangles, therefore area of square= $(side)^{2}=(3)^{2}=9 m^{2}$

Area of 4 triangles= $4{\times}(\frac{1}{2}{\times}B{\times}H)$

= $4{\times}(\frac{1}{2}{\times}3{\times}2)=12m^{2}$

Area of the shape= Area of the square+ area of the 4 triangles

= $9+12=21m^{2}$

(D) Perimeter of rectangle with length=40 m (After converting cm to m) and breadth= 10 m is given by: $2(l+b)=2(40+10)=100 m$

Perimeter of rectangle with length 68 m and breadth=33 m is given by: $2(l+b)=2(68+33)=202 m$

Perimeter of the semicircle= $\frac{{\pi}d}{2}=\frac{3.14{\times}34}{2}=53.38 m$

Total perimeter= $100+201+53.38=355.38 m$

Area of rectangle with length=40 m (After converting cm to m) and breadth= 10 m is given by: $l{\times}b=40{\times}10=400 m^{2}$

Area of rectangle with length 68 m and breadth=33 m is given by: $l{\times}b=68{\times}33=2244 m^{2}$

Area of the semi circle= $\frac{{\pi}r^{2}}{2}=\frac{3.14{\times}17^{2}}{2}=453.73 m^{2}$

Total area= $400+2244+453.73=3097.73 m^{2}$

8 0

3 years ago

Read 2 more answers

Ge A 32 - m tall building casts a shadow. The distance from the top of the building to the tip of the shadow is 34 m . Find the

Maksim231197 [3]

Answer:

The length of the shadow is 11.5

Step-by-step explanation:

4 0

3 years ago

Math help is this a inverse (show work) k(x)=3x^2-12

Paul [167]

Answer:

sqrt(1/2x+6) = h^-1 (x)

Step-by-step explanation:

To find the inverse, we exchange x and y and then solve for y

y = 2x^2 -12

Exchange x and y

x = 2y^2 -12

Solve of y

Add 12 to each side

x+12 = 2y^2

Divide by 2

(x+12) /2 = 2y^2/2

(x+12)/2 =y^2

1/2 x+6 = y^2

Take the square root of each side

sqrt(1/2x+6) = sqrt(y^2)

sqrt(1/2x+6) = y

This is the inverse

4 0

3 years ago

Suppose Eric runs for 4 minutes and walks for 8 minutes how close is he to 1,600 meter goal?

jarptica [38.1K]

Hi there,

Since Eric ran 200 m/min for 4 minutes, then 4×200 = 800m
and he walked 80 m/min for 8 minutes, then 8×80 = 640m
and in total he ran 800 + 640 = 1440m
so he still have 1600 - 1440 = 160m left to reach 1600m

Hope this helped :P

3 0

4 years ago