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levacccp [35]
3 years ago
5

If the interest rate at the bank for a savings account is 0.03%, how much money would you need to leave in the account for one y

ear in order to earn $10 in interest?
Mathematics
1 answer:
kiruha [24]3 years ago
8 0
I=PRT

I=interest
P=amont to leave
r=rate in decimal
t=time in years
given

I=10
P=?
r=0.03%=0.0003
t=1

10=?(0.0003)(1)
10=?(0.0003)
divide both sides by 0.003
333333.3333333333=?

should leave about $33333.33
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Answer:

$10.80

Step-by-step explanation:

$60.00 x 0.18 = $10.80

5 0
3 years ago
Find, corrrect to the nearest degree, the three angles of the triangle with the given vertices. D(0,1,1), E(-2,4,3), C(1,2,-1)
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Answer:

The three angles of the triangle given above are 23, 73 and 84 correct to the nearest degree. The concept of dot product under vectors was applied in solving this problem. The three positions forming the triangle were taken as positions vectors. The Dot product also known as scalar product is a very good way of finding the angle between two vectors. ( in this case the sides of the triangle given above). Below is a picture of the step by step procedure of the solution.

Step-by-step explanation:

The first thing to do is to treat the given positions in space as position vectors which gives us room to perform vector manipulations on them. Next we calculate the magnitude of the position vector which is the square root of the sun of the square of the positions of the vectors along the three respective axes). Then we calculate the dot product. After this is calculated the angle can then be found easily using formula for the dot product.

Thank you for reading this and I hope it is helpful to you.

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3 years ago
A homeowner has 32 feet of fencing to build three sides of a rectangular chicken coup. One side of the chicken coup will be agai
zepelin [54]

Answer:

The ideal length is 16 feet

The ideal width is 8 feet

Step-by-step explanation:

The given parameters are;

The length of the fencing available to the homeowner = 32 feet

The number of sides of the rectangular chicken coup the fence will be applied = 3 sides

Let L represent the length and W, represent the width

Therefore, we have;

The perimeter of the fence = 2W + L = 32 feet

L = 32 - 2·W

The area is given by, A = Length, L × Width, W

A =   (32 - 2·W) × W = 32·W - 2·W²

Differentiating with respect to W and equating to 0 to find the maximum point gives;

dA/dW = d(32·W - 2·W²)/dW = 0

32 - 4·W = 0

4·W = 32

W = 32/4 = 8

W = 8 feet

Given that the sign of the variable in the equation of the derivative is negative, the value we get is the maximum point

The ideal width W = 8 feet

The length, L = 32 - 2·W = 32 - 2 × 8 = 16 feet

Therefore, the ideal length, L = 16 feet.

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Yo sup??

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