All categories

3 years ago

Erica invested $200 last year.

Mathematics

1 answer:

Semenov [28]3 years ago

7 0

Investment = $200

Gain = $200 × .2 = 40

Total investment value = 200 + 40 = 240

You might be interested in

The graph of a quadratic function passes through the points (-1,0), (-2,0), and (0,2). Write the quadratic function in general f

ddd [48]

Answer:

$f(x)=x^2+3x+2$

Step-by-step explanation:

step 1

we have the points

(-1,0), (-2,0), and (0,2)

Plot the points

using a graphing tool

see the attached figure

The graph of a quadratic function must be a vertical parabola open upward

The vertex is a minimum

The quadratic function in general form is equal to

$f(x)=ax^2+bx+c$

Substitute the value of x and the value of y of each given ordered pair in the general equation and solve for a,b and c

(0,2)

For x=0, y=2

substitute

$2=a(0)^2+b(0)+c$

$c=2$

(-1,0)

For x=-1, y=0

substitute

$0=a(-1)^2+b(-1)+2$

$0=a-b+2$ ----> $a=b-2$ ----> equation A

(-2,0)

For x=-2, y=0

substitute

$0=a(-2)^2+b(-2)+2$

$0=4a-2b+2$ ----> equation B

we have the system

$a=b-2$ ----> equation A

$0=4a-2b+2$ ----> equation B

substitute equation A in equation B

$0=4(b-2)-2b+2$

solve for b

$0=4b-8-2b+2$

$2b=6$

$b=3$

Find the value of a

$a=3-2=1$

therefore

The quadratic function in general form is equal to

$f(x)=x^2+3x+2$

see the attached figure N 2 to better understand the problem

7 0

3 years ago

How many 1/4 inches are in 3 inches

Yakvenalex [24]

Answer:

Step-by-step explanation:

4 1/4 inches are in 1 inch, 3 inches total would make 12.

8 0

3 years ago

Read 2 more answers

Factor ab + bc + b2 + ac. (a + b)(b + c) (a + c)(b + c) b(a + b)(b + c)

Aleks04 [339]

Answer:

It is (a + b)(b + c)

Step-by-step explanation:

$ab + bc + {b}^{2} + ac$

arrange the function:

$= (ab + ac) + ( {b}^{2} + bc)$

factorise out common terms [ a and b ]:

$= a(b + c) + b(b + c)$

form a bracket of factors:

$= (a + b)(b + c)$

4 0

4 years ago

Sam takes part in a car race that has 20 laps. He completes 4 laps every 3 minutes. The number of laps Sam has left to drive aft

Nadya [2.5K]

If we rewrite this equation, it would look like this: $y=- \frac{4}{3}x+20$ , which is the equation for a straight line with a slope of -4/3 and a y-intercept of 20. The y-intercept exists when x = 0. "x" represents the number of minutes he drives, "y" represents the number of laps he drives. Slope is rise/run, or y/x, which gives us that he drives 4 laps in 3 minutes (the slope of our line). The y-intercept, when x = 0, tells us that when he has driven 0 minutes, or hasn't driven at all yet, he still has 20 laps to go. When y = 0, the x-intercept is $0=- \frac{4}{3}x+20$ , and $-20=- \frac{4}{3} x$ . Multiply both sides by 3 to get that -60 = -4x and that means that x is 15. This means that from start to finish, it takes him 15 minutes to drive the 20 laps.

4 0

3 years ago

Answers? Please helpppppop I don’t need number one only the rest

Mkey [24]

Answer:

2.236
4.242
5.830
8.944
15.165
13.076

5 0

3 years ago