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3 years ago

A bank quotes an interest rate as 0.06341 annual effective yield. What interest rate, compounded monthly, will provide that

Mathematics

1 answer:

Leviafan [203]3 years ago

4 0

9514 1404 393

Answer:

0.06164

Step-by-step explanation:

The effective annual rate obtained by compounding nominal annual rate r monthly is ...

eff rate = (1 +r/12)^12 -1

Then the value of r is ...

r = 12×((eff rate) +1)^(1/12) -1)

For the given effective rate, that is ...

r = 12×(1.06341^(1/12) -1) ≈ 0.06164 . . . . nominal annual interest rate

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The volume of a trapezoidal prism is 24 cubic units. It's height is 6 units, as labeled. What is the area of a trapezoidal base

scZoUnD [109]

Answer:

Area of trapezoidal base = 4 square units.

Step-by-step explanation:

We know that volume of a prism is known as :

$V = B \times h$

where B is Area of Base

and h is Height of prism

NOTE: Formula for Volume of a prism can be generalized as above irrespective of the type of base it has (base can be of type triangle, rectangle, square or trapezoidal etc).

Here, we are given that Base is trapezoidal.

h is 6 units and

Volume V is 24 cubic units.

And we have to find out the value of B.

Putting the above values in above formula:

$24 = B \times 6\\\Rightarrow B = \dfrac{24}{6}\\\Rightarrow B = 4 \text { square units}$

Hence, area of trapezoidal base = 4 square units.

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3 years ago

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mafiozo [28]

70,000

Answer:

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Identify an equation in point-slope form for the line perpendicular to

Alik [6]

Answer:

Step-by-step explanation:

Perpendicular lines have the exact opposite slope of the other equation.

So the slope will be x or 1x. Plug in

-8 = 1(4) + b (b represents y-intercept) like y=mx+b

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3 years ago

If 3x plus 2 equals 90 then what is the value of x

Firdavs [7]

Hello!

$3x+2=90$

Explanation:

↓↓↓↓↓↓↓↓↓↓↓↓↓

First you had to subtract by 2 from both sides of the equation.

$3x+2-2=90-2$

Simplify

$3x=88$

Then you divide by 3 from both sides of the equation.

$\frac{3x}{3}=\frac{88}{3}$

Simplify it should be the correct answer.

$x=\frac{88}{3}$

Answer⇒⇒⇒⇒⇒x=88/3

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

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netineya [11]

That's correct. Now you gotta plug in -5 in for x and get both angles.

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