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KATRIN_1 [288]
2 years ago
10

A sum amount to 2400$ simple interest per annum after four years find the sum

Mathematics
1 answer:
mars1129 [50]2 years ago
6 0

Answer:

A sum amounts to 2400 at 15% simple interest per annum after 4 years. Find the sum. - 510496.

Step-by-step explanation:

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A thin sheet of ice is in the form of a circle. If the ice is melting in such a way that the area of the sheet is decreasing at
elena-14-01-66 [18.8K]

Answer:

dx/dt  =  0,04 m/sec

Step-by-step explanation:

Area of the circle is:

A(c) =π*x²      where   x is a radius of the circle

Applying differentiation in relation to time we get:

dA(c)/dt   =  π*2*x* dx/dt    

In this equation we know:

dA(c)/dt  = 0,5 m²/sec

And are looking for dx/dt then

0,5  = 2*π*x*dx/dt    when the area of the sheet is 12 m²  (1)

When  A(c) = 12 m²      x = ??

A(c)  =  12  =  π*x²      ⇒    12  =  3.14* x²    ⇒  12/3.14  =  x²

x²  = 3,82     ⇒   x  = √3,82    ⇒  x = 1,954 m

Finally plugging ths value in equation (1)

0,5  = 6,28*1,954*dx/dt

dx/dt  =  0,5 /12.28

dx/dt  =  0,04 m/sec

7 0
2 years ago
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Amira is painting a rectangular banner 2 1/4 yards wide in the cafeteria. The banner will have a blue background. Amira has enou
Dominik [7]

we know that

the area of the rectangular banner is equal to

A=W*h

where

W is the wide of the banner

h is the height of the banner

in this problem

W=2\frac{1}{4} \ yards=\frac{(4*2+1)}{4} =\frac{9}{4} \ yards

A=1\frac{1}{2} \ yards^{2} =\frac{(1*2+1)}{2} =\frac{3}{2} \ yards^{2}

In the formula of the area solve for h

A=W*h\\ \\ h=\frac{A}{W}

Substitute the values of W and A

h=\frac{\frac{3}{2}}{\frac{9}{4}}  \\ \\ h=\frac{2}{3} \ yards

therefore

the answer is

the height of the banner is \frac{2}{3} \ yards

4 0
3 years ago
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Jack’s bank statement shows an account balance of –$25.50. Which describes the magnitude, or size, of the debt in dollars? $50.5
mash [69]

Answer:

$25.50

Step-by-step explanation:

because the magnitude of the debt is the distance from zero.

8 0
2 years ago
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The measures of the angles of a triangle are shown in the figure below. Solve for x.<br> 80°<br> 39
zloy xaker [14]

Answer:

61 degrees

Step-by-step explanation:

A triangle has a total of 180 degrees. We already know 80 and 39. 80+39 is 119. 180-119+61

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3 years ago
4. Solve the following equations and verify your answers: (i) 3 (x + 7) = 18​
stiv31 [10]

Answer:

8.33333333333

Step-by-step explanation:

Solution for 3x-7=18 equation:

3x - 7 = 18

3x = 18 + 7

3x = 25 (divide both sides by 3 to get x)

3x/3 = 25/3

x = 8.33333333333

3 0
3 years ago
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