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4 years ago

Find the simple interest. $18,981 at 9% for 208 days

1 answer:

5 0

Since the interest is simple, you don't have to compound it multiple times. You just need to divide the 208 days with 365days. The calculation would be:

interest= principal * number of year * rate
interest= $18,981 * 208/365 * 9%=$973.49

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HELP<br> Use the definition of continuity and the properties of limits to show that’s the function…

Solnce55 [7]

Answer with Step-by-step explanation:

We are given that

$g(x)=(x^2-3x-10)(x^2+2x^2-5x+4)$

x=-1

Using property of limit

$\lim_{x\rightarrow -1}g(x)=\lim_{x\rightarrow -1}(x^2-3x-10)(3x^2-5x+4)$

= $(1+3-10)(3+5+4)$

= $(-6)(12)$

= $-72$

$g(-1)=(1+3-10)(1+2+5+4)$

$g(-1)=(-6)(12)=-72$

$\lim_{x\rightarrow -1}g(x)=g(-1)$

Hence, the function is continuous at x=-1

4 0

3 years ago

Find a vector function, r(t), that represents the curve of intersection of the two surfaces. the paraboloid z = 9x2 y2 and the p

dolphi86 [110]

The vector function is, r(t) = $\bold{ < t,2t^2,9t^2+4t^4 > }$

Given two surfaces for which the vector function corresponding to the intersection of the two need to be found.

First surface is the paraboloid, $z=9x^2+y^2$

Second equation is of the parabolic cylinder, $y=2x^2$

Now to find the intersection of these surfaces, we change these equations into its parametrical representations.

Let x = t

Then, from the equation of parabolic cylinder, $y=2t^2$ .

Now substituting x and y into the equation of the paraboloid, we get,

$z=9t^2+(2t^2)^2 = 9t^2+4t^4$

Now the vector function, r(t) = <x, y, z>

So r(t) = $\bold{ < t,2t^2,9t^2+4t^4 > }$

Learn more about vector functions at brainly.com/question/28479805

#SPJ4

7 0

2 years ago

I need the area! <br><br> Of this picture

zhannawk [14.2K]

Answer: C

Step-by-step explanation:

$A=\frac{1}{2}ap$

$A=\frac{1}{2}(7)(10*6)\\ A=\frac{1}{2}(7)(60)\\ A=\frac{1}{2}(420)\\ A=210$

3 0

4 years ago

Is this true or false?

bulgar [2K]

Answer:

True

Step-by-step explanation:

Use the rule of fractional exponent: The denominator becomes the root index and the numerator becomes the power.

5 0

3 years ago

(15,-9) is dilated by a scale factor of 3 what is its new location

Tpy6a [65]

For this case what you should do is follow the following transformation:
(x, y) ---> k (x, y) ---> (kx, ky)
Applying the transformation to the ordered pair we have:
(15, -9) ---> 3 (15, -9) ---> ((3) * (15), (3) * (- 9)) ----> (45, -27)
Answer:
its new location is:
(45, -27)

4 0

4 years ago