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3 years ago

An amount P at 6% for 5 years compounded monthly increased to $15000.00. What is P? (Round answer to cents)

Mathematics

1 answer:

vovikov84 [41]3 years ago

7 0

Answer:

$20,232.75

Step-by-step explanation:

I hope it helped

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Evaluate the line integral, where c is the given curve. (x + 9y) dx + x2 dy, c c consists of line segments from (0, 0) to (9, 1)

viktelen [127]

$\displaystyle\int_C(x+9y)\,\mathrm dx+x^2\,\mathrm dy=\int_C\langle x+9y,x^2\rangle\cdot\underbrace{\langle\mathrm dx,\mathrm dy\rangle}_{\mathrm d\mathbf r}$

The first line segment can be parameterized by $\mathbf r_1(t)=\langle0,0\rangle(1-t)+\langle9,1\rangle t=\langle9t,t\rangle$ with $0\le t\le1$ . Denote this first segment by $C_1$ . Then

$\displaystyle\int_{C_1}\langle x+9y,x^2\rangle\cdot\mathbf dr_1=\int_{t=0}^{t=1}\langle9t+9t,81t^2\rangle\cdot\langle9,1\rangle\,\mathrm dt$
$=\displaystyle\int_0^1(162t+81t^2)\,\mathrm dt$
$=108$

The second line segment ( $C_2$ ) can be described by $\mathbf r_2(t)=\langle9,1\rangle(1-t)+\langle10,0\rangle t=\langle9+t,1-t\rangle$ , again with $0\le t\le1$ . Then

$\displaystyle\int_{C_2}\langle x+9y,x^2\rangle\cdot\mathrm d\mathbf r_2=\int_{t=0}^{t=1}\langle9+t+9-9t,(9+t)^2\rangle\cdot\langle1,-1\rangle\,\mathrm dt$
$=\displaystyle\int_0^1(18-8t-(9+t)^2)\,\mathrm dt$
$=-\dfrac{229}3$

Finally,

$\displaystyle\int_C(x+9y)\,\mathrm dx+x^2\,\mathrm dy=108-\dfrac{229}3=\dfrac{95}3$

5 0

4 years ago

If f(x)= 2(3x²-2x+2). Find:<br><br>A) f(x+1)<br>B) f(3)<br>C) f(y-2)

ExtremeBDS [4]

A) f(x+1) = 6x^2 + 8x + 6
1) substitute the value of x as (x+1)
2) 2(3(x+1)^2 -2(x+1) +2)
3) 6(x^2 + 2x + 1)
4) 6x^2 + 8x + 6

B) f(3) = 46
1) simplify the expression first
2) 6x^2 -4x + 4
3) Now just substitute 3: 6(3)^2 -4(3) + 4
4) 6•9 - 12 + 4 = 46

I hope this helps :)

8 0

3 years ago

Joe ate as much pieces of halloween candy as Ed. Together they ate 48 pieces!

nataly862011 [7]

Answer:

they both ate 24 pieces!

Step-by-step explanation:

if joe and ed ate the same amount of candy, 48÷2= 24

24+24=48

4 0

3 years ago

there is a line includes the point (0,4) and has a slope of 7 what is its equation in slope-intercept form

Oliga [24]

Answer:

y=7x+4

Step-by-step explanation:

slope- intercept form is y=mx+c

m=7

so y=7x+c

substitute (0,4) into y=7x+c

so 4=(7x0)+c

c=4

so y=7x+4

3 0

3 years ago

What is the equation for a line that passes through the points (-5,-4) and (10,14)?

Vinvika [58]

Answer:

y=6/5x+2

Step-by-step explanation:

1.find the slope(m)

m=y2-y1/x2-x1

m=14-(-4)/10-(-5)

m=14+4/10+5

m=18/15

m=6/5

y-y1=m(x-x1)

y-(-4)=6/5(x-(-5))

y+4=6/5(x+5)

y+4=6/5x+30/5

y=6/5x+30/5-4

y=6/5x+10/5

y=6/5x+2

6 0

3 years ago