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ElenaW [278]
3 years ago
11

Tom has deposited $500 in an account which earns 2% interest each year. Which expression correctly shows the total value of his

account after 3 years?
A) 500 + 0.02 + 0.02 + 0.02
B) 500 + 0.02[500 + 0.02(500 + 0.02*500)]
C) 500 + 0.02*0.02*0.02(500)
D) 500 + 3(0.02)500
Mathematics
1 answer:
nignag [31]3 years ago
3 0
It's D
500+3×0.02×500=530
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Please help!!!!!!!!!!
Delicious77 [7]

f(x)=2x^2-4x+1

Substitute the values of x to the equation of the function f:

x=-1\to f(-1)=2(-1)^2-4(-1)+1=2(1)+4+1=7\\\\x=2\to f(2)=2(2^2)-4(2)+1=2(4)-8+1=1

Therefore we have two points (-1, 7) and (2, 1).

We can calculate the slope of line l.

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

Substitute:

m=\dfrac{1-7}{2-(-1)}=\dfrac{-6}{3}=-2

<h3>Answer: A) -2.</h3>
5 0
3 years ago
Find m∠I. Put the answer below.<br> m∠I =
pashok25 [27]

Answer:

The answer is 68°

Step-by-step explanation:

<h3><u>Given</u>;</h3>
  • A right angled-triangle IGH.
  • where, m∠G = 90°
<h3><u>To </u><u>Find</u>;</h3>
  • m∠I = ?

We know that

tan θ = Opp ÷ Adj

tan θ = 5 ÷ 2

tan θ = 2.5

tan θ = 68.2 ≈ 68

We know that tan 68 = 2.5

Thus, The m∠I is 68°

<u>-TheUnknownScientist 72</u>

5 0
2 years ago
Andrea calls two truck rental companies to compare costs. Action trucks charges $80 for the day plus $0.22 per kilometer and tru
Amanda [17]

Answer:it will take 200 kilometers for the costs to be the same.

Step-by-step explanation:

Let x represent the number of kilometers that Andrea would have to drive for the total cost of renting from both companies to be the same.

Action trucks charges $80 for the day plus $0.22 per kilometer. It means that the total cost of x miles would be

80 + 0.22x - - - - - - - - - 1

Truck experts charges $100 for the day plus $0.12 per kilometer. It means that the total cost of x miles would be

100 + 0.12x - - - - - - - - - 2

Therefore, for the cost of renting from both companies to be the same,

80 + 0.22x = 100 + 0.12x

0.22x - 0.12x = 100 - 80

0.1x = 20

x = 20/0.1 = 200

4 0
3 years ago
Leonardo is running the 100 meter dash at his school’s track meet. After 78 meters, his right shoe falls off! He can’t stop to p
AveGali [126]

100 meters -78 meters =21 m


6 0
3 years ago
Read 2 more answers
a line with slope 3 passes through point (0,10). What is the y-coordinate of the point on the line with x-coordinate 2
skad [1K]

The y-coordinate is 16

<h3><u>Solution:</u></h3>

Given that a line with slope 3 passes through point (0, 10)

To find the y-coordinate of the point on the line with x-coordinate 2

Which means the point is (2, y)

Let us find the required y co-ordinate using slope formula

<em><u>The slope of line is given as:</u></em>

For a line containing points (x_1 , y_1) and (x_2 , y_2) is given as:

\text {slope}=m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

\text {Here } x_{1}=0 ; y_{1}=10 ; x_{2}=2 ; y_{2}=y

Given that slope "m" = 3

Substituting the values we get,

\begin{array}{l}{3=\frac{y-10}{2-0}} \\\\ {3=\frac{y-10}{2}} \\\\ {6=y-10} \\\\ {y=10+6=16}\end{array}

Thus the y-coordinate is 16

8 0
3 years ago
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