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RoseWind [281]
3 years ago
9

Select the letter of the correct answer.

Mathematics
1 answer:
solong [7]3 years ago
4 0
I would say A hope it’s right
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Luke puts $500 into a savings account that earns 6% simple interest each year. How much money will be in the account after 3 yea
Burka [1]

Answer:

= $90

Step-by-step explanation:

I = prt

I = 500 x 0.06 x 3

I = $90

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A writer chargers $5 per word plus a startup fee of $50 per article. Write an equation in standard form to represent the total c
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4 years ago
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Consider two functions f and g on [1, 8] such that integral^8_1 f(x) dx = 9, integral^8_1 g(x) dx = 5, integral^8_5 f(x) dx = 4,
Gelneren [198K]

I'll abbreviate the definite integral with the notation,

I(f(x),a,b)=\int_a^bf(x)\,\mathrm dx

We're given

  • I(f,1,8)=9
  • I(g,1,8)=5
  • I(f,5,8)=4
  • I(g,1,5)=3

Recall that the definite integral is additive on the interval [a,b], meaning for some c\in[a,b] we have

I(f,a,b)=I(f,a,c)+I(f,c,b)

The definite integral is also linear in the sense that

I(kf+\ell g,a,b)=kIf(a,b)+\ell I(g,a,b)

for some constant scalars k,\ell.

Also, if a\ge b, then

I(f,a,b)=-I(f,b,a)

a. I(2f,1,5)=2I(f,1,5)=2(I(f,1,8)-I(f,5,8))=2(9-4)=\boxed{10}

b. I(f-g,1,8)=I(f,1,8)-I(g,1,8)=9-5=\boxed{4}

c. I(f-g,1,5)=I(f,1,5)-I(g,1,5)=\dfrac{I(2f,1,5)}2-I(g,1,5)=10-3=\boxed{7}

d. I(g-f,5,8)=I(g,5,8)-I(f,5,8)=(I(g,1,8)-I(g,1,5))-I(f,5,8)=(5-3)-4=\boxed{-2}

e. I(7g,5,8)=7I(g,5,8)=7(5-3)=\boxed{14}

f. I(3f,5,1)=3I(f,5,1)=-3I(f,1,5)=-\dfrac32I(2f,1,5)=-\dfrac32(10)=\boxed{-15}

4 0
3 years ago
I need the answer immediately!!!!!!
mestny [16]
Y=-2/3-5 That’s the answer change of y is down 2 change in x is 3 to the right . And the y intercept is -5
6 0
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A child jumps off a bridge at 75 feet, if you calculate that you will have another 10 feet going down into the water, will you s
tamaranim1 [39]

Answer: true if I jump from their then their will no chance to back

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4 years ago
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