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gulaghasi [49]
3 years ago
7

$12,000 deposit, simple interest at 8.5% for 5 years.

Mathematics
1 answer:
lora16 [44]3 years ago
5 0

Answer:

$ 5100

Step-by-step explanation:

I= ?

p=$12000

r=8.5*1 /100=8.5/100

t=5yrs

I=P*R*T

= 12000*8.5*5 /100

=$ 5100

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If a student applied force 36N on a bench and it displaced by 4 m how much work did that student do
MAVERICK [17]
<h3>Answer:  144 Joules </h3>

Steps Shown:

Work = Force * Displacement

Work = (36 Newtons)*(4 meters)

Work = (36*4) Newton meters

Work = 144 Newton meters

Work = 144 Joules

Note: The displacement must point in the same direction as the force applied.

8 0
2 years ago
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Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter. x = cos(θ) + sin(10
vivado [14]

Answer:

Step-by-step explanation:

x = cos θ + sin(10θ)

y = sin θ + cos(10θ)

Take derivative with respect to θ:

dx/dθ = -sin θ + 10 cos(10θ)

dy/dθ = cos θ - 10 sin(10θ)

Divide:

dy/dx = (dy/dθ) / (dx/dθ)

dy/dx = (cos θ - 10 sin(10θ)) / (-sin θ + 10 cos(10θ))

Evaluate the derivative at θ=0:

dy/dx = (cos 0 - 10 sin 0) / (-sin 0 + 10 cos 0)

dy/dx = 1/10

Evaluate the parametric functions at θ=0:

x = cos 0 + sin 0 = 1

y = sin 0 + cos 0 = 1

Writing the equation of the tangent line in point-slope form:

y - 1 = 1/10 (x - 1)

6 0
3 years ago
A rectangle is 6yards longer than it is wide. Find the dimensions of the rectangle if it’s area is 187 square yards
emmasim [6.3K]

Answer:

Width = 11 yards

Length = 17 yards

Step-by-step explanation:

First of all, the length of the rectangle is 6 yards longer than the width, this means, length = width + 6 yards. This dimensions can be represented on figure 1, where <em>w</em> is width, and <em>l</em>, for length.

We know the area of a rectangle is A = width x length

For our case 187 = w . (w + 6)

Using the Distributive Property for the multiplication we obtain

187 = w^{2} +6w

w^{2} +6w-187 =0,

Using the quadratic formula w=\frac{-b\±\sqrt{b^{2}-4ac } }{2a} where a = 1, b = 6, c = - 187 and replacing into the formula, we will have:

w=\frac{-6\±\sqrt{6^2-4(1)(-187)} }{2(1)}

w=\frac{-6\±\sqrt{36+748} }{2}=\frac{-6\±\sqrt{784} }{2}=\frac{-6\±28}{2}

We have two options: w=\frac{-6+28}{2}=\frac{22}{2}=11  yards

Or

w=\frac{-6-28}{2}=\frac{-34}{2}=-17 yards But a distance (width) can not be negative so, this answer for w must be discarded.

The answer must be width = 11 yards.

To find the length l =\frac{187}{11}=17 yards

6 0
3 years ago
Please help with this question I really need it right now please show work and please if you don't understand this question plea
Zina [86]

Answer:a is the correct option

Step-by-step explanation:

The table is divided into columns for month, sales and expense

Total number of sales for four months is determined by adding up the sales for each month. It becomes

35.75+65.34+12.15+49.68= $162.92

Total number of sales for four months is determined by adding up the expenses for each month. It becomes

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Profit or loss = total sales - total expenses

Therefore 162.92-196.01 = - $33.09

It's a loss because it is negative

8 0
2 years ago
Sam and his family go out to eat for his birthday. The total bill is $123.79. If his dad leaves the waitress a 15% tip, how much
Art [367]

Answer:

$18.5685 or $18.56

Step-by-step explanation:

The answer is $18.56 because 123.79 multiplied by 15% is $18.56

8 0
2 years ago
Read 2 more answers
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