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4 years ago

You deposit 6000 in a account earning 7% interest compounded continuously how in the account after 15 years

Mathematics

1 answer:

Vlada [557]4 years ago

7 0

Compounded continuously: A=P*e^(rt)
A=6000*e^(0.07*15)
use your calculator: A=17145.90

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4 years ago

Examplelt: A wall of length 10 m was to be built across an open ground. The height of the wall is 4 m and thickness of the wall

harina [27]

Answer :

4167 bricks.

Explanation :

Since the wall with all its bricks makes up the space occupied by it, we need to find the volume of the wall, which is nothing but a cuboid.

Here,

${\qquad \dashrightarrow{ \sf{Length=10 \: m=1000 \: cm}}}$

$\qquad \dashrightarrow{ \sf{Thickness=24 \: cm}}$

$\qquad \dashrightarrow{ \sf{Height=4 m=400 \: cm}}$

Therefore,

${\qquad \dashrightarrow{ \bf{Volume \: of \: the \: wall = length \times breadth \times height}}}$

${\qquad \dashrightarrow{ \sf{Volume \: of \: the \: wall = 1000 \times 24 \times 400 \: {cm}^{3} }}}$

Now, each brick is a cuboid with Length = 24 cm, Breadth = 12 cm and height = 8 cm.

So,

${\qquad \dashrightarrow{ \bf{Volume \: of \: each \: brick = length \times breadth \times height}}}$

${\qquad \dashrightarrow{ \sf{Volume \: of \: each \: brick = 24 \times 12 \times 8 \: {cm}^{3} }}}$

So,

${\qquad \dashrightarrow{ \bf{Volume \: of \: bricks \: required = \dfrac{volume \: of \: the \: wall}{volume \: of \: each \: brick} }}}$

${\qquad \dashrightarrow{ \sf{Volume \: of \: bricks \: required = \dfrac{1000 \times 24 \times 400}{24 \times 13 \times 8} }}}$

${\qquad \dashrightarrow{ \sf{Volume \: of \: bricks \: required = \bf \: 4166.6} }}$

Therefore,

<u>The wall requires 4167 bricks. </u>

6 0

2 years ago

Hari's weekly allowance varies depending on the number of chores he does. He received $18 in allowance the week he did 10 chores

kifflom [539]

Answer:

y=1/2x+13

Step-by-step explanation:

The slope-intercept form is: y=mx+b, where m is the slope and b is the y-intercept of the line. First, you have to calculate the slope using the following formula:

m=y2-y1/x2-x1

You have two points: (6, 16), (10,18) as the chores are the independent variable which is x, and the money is the dependent variable which is y.

Now, you can replace the values in the formula:

y2=18

y1=16

x2=10

x1=6

m=(18-16)/(10-6)

m=2/4

m=1/2

Now, you use the point-slope formula:

y-y1=m(x-x1)

You have to replace the value of the slope and one point and solve for y:

y-16=1/2(x-6)

y-16=1/2x-3

y=1/2x-3+16

y=1/2x+13

According to this, the answer is that the equation for his allowance in slope-intercept form is: y=1/2x+13.

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3 years ago

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Answer:

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Step-by-step explanation:

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