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2 years ago

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If you withdraw part of your money from a certificate of deposit before the date of maturity, you must pay an interest penalty.

Suppose you invested $6000 in a one-year certificate of deposit paying 8.3% interest. After 6 months, you decide to withdraw $6000. Your interest penalty is 3 months simple interest on the $6000. What interest penalty do you pay? (Round your answer to two decimal places.)

1 answer:

s344n2d4d5 [400]2 years ago

7 0

Answer:

$\frac{3}{12} *100=25\\$

8,3*0,25=2,10%(2d.p)

Step-by-step explanation:

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A carpenter uses a hand saw to cut a piece of wood in half. The length of the saw blade is 40 cm, while the wood he is cutting i

Oxana [17]

Answer:

The equation that models how far from the tip of the saw is from the wood in terms of time is x(t) = 10×cos(2×π×t) + 17

Step-by-step explanation:

The given parameters are;

Length of the saw blade = 40 cm

Thickness of the wood across = 8 cm

Length of blade between wood saw handle with hand extended = 5 cm

Length of the tip from the wood at the above time = 40 - 8 - 5 = 27 cm

Length of blade between wood saw handle with saw pulled inwards = 25 cm

Length of the tip from the wood at the above time = 40 - 8 - 25 = 7 cm

Time for one complete cycle = 1 second

We note that the basic equation for oscillatory motion is of the form;

x(t) = A·cos(ωt) + d

Where:

A = Amplitude of the motion = (27 - 7)/2 = 10 cm

ω = Angular frequency = 2·π/T

ωt = Motion's phase

t = Time of the motion

d = The middle location = 27 - 10 = 17 cm

T = The time to complete a cycle = 1 s

Therefore;

ω = 2·π

Given that he stars with his arm extended out, we have;

27 = 10×cos(2×π×0) + 17

Therefore, the equation that models how far from the tip of the saw is from the wood in terms of time is x(t) = 10×cos(2×π×t) + 17.

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2 years ago

LeAnn wants to giftwrap a present she got for her little brother. How many square inches of giftwrap will be needed to cover a b

Sloan [31]

For this case we must find the surface area of a rectangular prism.
We have then:
$A = 2 * (w * l) + 2 * (w * h) + 2 * (l * h)
$
Where,
w: width
l: long
h: height
Substituting values we have:
$A = 2 * (4 * 6) + 2 * (4 * 2) + 2 * (6 * 2)

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2 years ago

A triangle with exterior angles is shown. A triangle sits on a line and forms 2 exterior angles on the left and right of the tri

NARA [144]

Answer:

Option 3.

Step-by-step explanation:

It is given that a triangle sits on a line and forms 2 exterior angles on the left and right of the triangle of (2h) degrees.

The top interior angle of the triangle is 40 degrees.

$\angle BAC=40$

From the given figure it is clear that

$\angle ABC+2h=180$ (Supplementary angle)

$\angle ABC=180-2h$

$\angle ACB+2h=180$ (Supplementary angle)

$\angle ACB=180-2h$

According to the angle sum property of triangle, the sum of all interior angles of a triangle is 180 degree.

$\angle ABC+\angle ACB+\angle BAC=180$

$(180-2h)+(180-2h)+40=180$

Combine like terms.

$(180+180+40)+(-2h-2h)=180$

$400-4h=180$

$-4h=180-400$

$-4h=-220$

Divide both sides by -4.

$h=\frac{-220}{-4}$

$h=55$

The value of h is 55.

Therefore, the correct option is 3.

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2 years ago

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Which is the simplified form of x Superscript negative 12?

chubhunter [2.5K]

Answer:

C. $\frac{1}{x^{12}}$

Step-by-step explanation:

We are given that an expression

$(x)^{-12}$

We have to find the simplified form of given expression.

We know that

$a^{-b}=\frac{1}{a^b}$

Using the property then we get

$x^{-12}=\frac{1}{x^{12}}$

Hence, the simplified form of $x^{-12}$ is given by

$\frac{1}{x^{12}}$

Option C is true.

5 0

2 years ago

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