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olganol [36]
4 years ago
12

lena has $150 saved for a car. she gets a job to save even more money. She earns $532 for four weeks' worth of work. How much wi

ll she have saved in all after working for 25 weeks?
Mathematics
1 answer:
son4ous [18]4 years ago
8 0

Answer: Lena saved up $3,475 in 25 weeks


Step-by-step explanation:

150 + 532 = 682

682/4 = 133

133 x 21 = 2,793

2,793 + 682 = 3,475

Hope this helps :)



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Determine an equation of the tangent line to <br> y = e - 2x<br> at the point (0,1).
Darya [45]

Answer:

y=-2x+1

this is the equation of the tangent line to the curve at the point (0,1)

Step-by-step explanation:

y = e^{-2x}

to find the tangent line we need to find the curve's derivative. using \dfrac{d}{dx}e^{ax} = ae^{ax}, we'll find dy/dx.

\dfrac{dy}{dx} = -2e^{-2x}

^ this is the equation of the slope of the curve. By finding the slope of the curve at (0,1) we'll also be finding the slope of the tangent to the curve at (0,1).

at (0,1) x = 0. we'll use that in dy/dx

\dfrac{dy}{dx} = -2e^{-2(0)}

\dfrac{dy}{dx} = -2(1)

\dfrac{dy}{dx} = -2

this is the slope of the tangent at point (0,1)

we'll use the general equation of the line formula to find the equation of tangent.

(y-y_1)=m(x-x_1)

here m is the slope, i.e. m = -2, and (x1,y1)=(0,1)

(y-1)=-2(x-0)

y=-2x+1

this is the equation of the tangent line at the point (0,1)

4 0
3 years ago
A farmer plants 987 apple trees in 9 rows. Can each row have the same number of trees? How do you know?​
alexira [117]

Answer:

No,

Step-by-step explanation:

each row can not have the same number of trees as the number 987 can not be evenly divided into 9 rows.

6 0
3 years ago
Read 2 more answers
Lucy, Sam, and Bob served a total of 72 orders Monday at the school cafeteria. Bob served 3 times as many orders as Lucy. Lucy s
julia-pushkina [17]

let

x-------> the number of Lucy's orders

y-------> the number of Sam's orders

z-------> the number of Bob's orders

we know that

<u>x+y+z=72</u>----> equation A

z=3x-----> equation B

x=8+y-----> y=x-8 -----> equation C

substitute equation B and C in equation A

x+(x-8)+3x=72\\ 5x=72+8\\ 5x=80\\x=16\\

find z

z=3*16=48

find y

y=x-8------> y=16-8=8

therefore

<u>the answer is</u>

the number of Lucy's orders is 16

the number of Sam's orders is 8

the number of Bob's orders is 48


4 0
3 years ago
Help me fast. how do i evaluate...<br><br> 2<br> - + 3h -6 when g = 10 and h = 6<br> 5g
nalin [4]

Answer:

where is g in the question?

2-+3h-6

2-18-16

is it 2g-3h-6

20-18-6=-4

8 0
4 years ago
Please please please answer this correctly.Please don’t give me wrong answers
Eddi Din [679]

Answer:

I think the answer would be 3 minutes 32 seconds. I hope this helps.

5 0
3 years ago
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