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Mrrafil [7]
2 years ago
13

Find the simple interest for a $3000 loan for 3 years at a rate of 5% (Formula: I=Prt)​

Mathematics
2 answers:
stiks02 [169]2 years ago
8 0

Answer:

$450

Step-by-step explanation:

Interest= 3000(5%)(3)= $450

Common mistake: Do not use 36 as the time period. Only use the number of years, it the number of months.

Verizon [17]2 years ago
6 0

To answer this, you use the formula I = Prt where

    I is the simple interest that builds

    P is the principal (AKA the amount invested/borrowed)

    r is the interest rate per year

    t is the lenght of the loan, in years.

In your situation:

    \begin{aligned}I &= (\$3000)(5 \%/\text{year})(3 \text{ years})\\[0.5em]&= (3000)(0.05)(3)\\[0.5em]&= 450\end{aligned}

This means there'd be $450 of simple interest due at the end of 3 years.

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Write an algebraic expression for the following
MrRa [10]

Answer:

12t = c

Step-by-step explanation:

I believe that's it

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What do you do to the b value to correctly complete the square?
mash [69]

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Step-by-step explanation:

B is correct:  We Divide it (the coefficient b) by 2 and square the result.

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Find the equation of the tangent line. y=(9-x^2)^1/3 at (1,2)​
Schach [20]

Get the derivative:

<em>y</em> = (9 - <em>x</em>²)¹ʹ³

d<em>y</em>/d<em>x</em> = 1/3 (9 - <em>x</em>²)⁻²ʹ³ d/d<em>x</em> [9 - <em>x</em>²]

d<em>y</em>/d<em>x</em> = 1/3 (9 - <em>x</em>²)⁻²ʹ³ (-2<em>x</em>)

d<em>y</em>/d<em>x</em> = -2/3 <em>x</em> (9 - <em>x</em>²)⁻²ʹ³

Evaluate it at <em>x</em> = 1 :

d<em>y</em>/d<em>x</em> (1) = -2/3 • 8⁻²ʹ³

Since 8 = 2³, we have

8⁻²ʹ³ = 1 / 8²ʹ³ = 1 / (2³)²ʹ³ = 1 / 2² = 1/4

Then the tangent line has equation

<em>y</em> - 2 = 1/4 (<em>x</em> - 1)   →   <em>y</em> = 1/4 <em>x</em> + 7/4

7 0
2 years ago
Can someone help with this?
skelet666 [1.2K]

Answer:

A

Step-by-step explanation:

only Ali's way would work in this situation. since there is a 5 on the right side, you can not use the zero product property. this only works if the right side is 0. so, you must use Ali's method.

6 0
2 years ago
A sightseeing balloon is sighted simultaneously by two people on the ground, 7 miles apart from each other. both people are dire
svp [43]

Answer:

about 3.9886 miles, or 21,060 ft

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds us of the relationship between sides of a right triangle and the trig functions of the angles. If the balloon height is represented by h, and the distance from the spot below the balloon to the nearest observer is x, then we know ...

tan(59°) = h/x

and

tan(23°) = h/(x+7)

If we invert the ratios, we can express these a little differently:

cot(59°) = tan(31°) = x/h

cot(23°) = tan(67°) = (x+7)/h

We can multiply both equations by h and subtract the first product from the second.

h·tan(67°) -h·tan(31°) = (x+7) -(x)

h(tan(67°) -tan(31°)) = 7

h = 7/(tan(67°) -tan(31°)) ≈ 3.988623 . . . . miles

The height of the balloon is about 3.9886 miles.

_____

Comment on this geometry

The working of this problem assumes a flat earth. The altitude is such that oxygen would be required by the "sightseers".

8 0
3 years ago
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