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3 years ago

Curtis took out a 30-year loan for $75,000 at an APR of 5.6%, compounded

Mathematics

1 answer:

jarptica [38.1K]3 years ago

7 0

He would save $6,303.50, that's how much I got with the formula.

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Integration of ∫(cos3x+3sinx)dx

Murljashka [212]

Answer:

$\boxed{\pink{\tt I = \dfrac{1}{3}sin(3x) - 3cos(x) + C}}$

Step-by-step explanation:

We need to integrate the given expression. Let I be the answer .

$\implies\displaystyle\sf I = \int (cos(3x) + 3sin(x) )dx \\\\\implies\displaystyle I = \int cos(3x) + \int sin(x)\ dx$

Let u = 3x , then du = 3dx . Henceforth 1/3 du = dx .
Now , Rewrite using du and u .

$\implies\displaystyle\sf I = \int cos\ u \dfrac{1}{3}du + \int 3sin \ x \ dx \\\\\implies\displaystyle \sf I = \int \dfrac{cos\ u}{3} du + \int 3sin\ x \ dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3}\int \dfrac{cos(u)}{3} + \int 3sin(x) dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3} sin(u) + C +\int 3sin(x) dx \\\\\implies\displaystyle \sf I = \dfrac{1}{3}sin(u) + C + 3\int sin(x) \ dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3}sin(u) + C + 3(-cos(x)+C) \\\\\implies \underset{\blue{\sf Required\ Answer }}{\underbrace{\boxed{\boxed{\displaystyle\red{\sf I = \dfrac{1}{3}sin(3x) - 3cos(x) + C }}}}}$

6 0

2 years ago

A car covered a certain distance at a speed of 24 mph. While returning, the car covered the same distance at a speed of 16 mph.

Ymorist [56]

Answer:

19.2 mph

Step-by-step explanation:

just trust me

7 0

2 years ago

PLEASE HELP I HAVE 5 MINUTES LEFT AND IM HALFWAY DONE PLEASE HELP ASDHA;EFhTHS

galben [10]

Answer:

12 is 52 i think. i am not sure about 11.

Step-by-step explanation:

im so sorry i know 11:(

I hope this helps on 12 tho

7 0

2 years ago

F(x)=x^+4x+2 what is the average rate of change from x=3 to x=5

mars1129 [50]

Answer:

Step-by-step explanation:

f(x)=x^+4x+2 First, let's evaluate when x=3, x=4 and x=5.

f(3) = 3²+4(3)+2 = 9 + 12 + 2 = 23

f(4) = 4²+4(4)+2 = 16 + 16 + 2 = 34

f(5) = 5²+4(5)+2 = 25 + 20 + 2 = 47

Now, let's find the rate of change.

34 - 23 = 11

47 - 34 = 13

Finally, the average rate of change.

(11 + 13) / 2 = 12

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3 years ago

What is the slope of (-2,-5) and (-3,-6)

lions [1.4K]

Im pretty sure it’s 1

7 0

3 years ago