What is 25 divided by 82?

Elena receives $131 per year in simple interest from three investments totaling $3000. Part is invested at 3%, part at 4% an

ioda

Answer:

Elena invested $ 1,700 at 5%, $ 700 at 4%, and $ 600 at 3%.

Step-by-step explanation:

Given that Elena receives $ 131 per year in simple interest from three investments totaling $ 3000, and part is invested at 3%, part at 4% and part at 5%, and there is $ 1000 more invested at 5% than at 4%, to find the amount invested at each rate, the following calculations must be performed:

1500 x 0.05 + 500 x 0.04 + 1000 x 0.03 = 75 + 20 + 30 = 125

1600 x 0.05 + 600 x 0.04 + 800 x 0.03 = 80 + 24 + 24 = 128

1700 x 0.05 + 700 x 0.04 + 600 x 0.03 = 85 + 28 + 18 = 131

Therefore, Elena invested $ 1,700 at 5%, $ 700 at 4%, and $ 600 at 3%

7 0

3 years ago

Fairly easy question

nexus9112 [7]

Answer:

C. x=3 and y=−6

Step-by-step explanation:

Step: Solvex−2y=15for x:

x−2y=15

x−2y+2y=15+2y(Add 2y to both sides)

x=2y+15

Step: Substitute2y+15forxin2x+4y=−18:

2x+4y=−18

2(2y+15)+4y=−18

8y+30=−18(Simplify both sides of the equation)

8y+30+−30=−18+−30(Add -30 to both sides)

8y=−48

8y8=−488(Divide both sides by 8)

y=−6

Step: Substitute−6foryinx=2y+15:

x=2y+15

x=(2)(−6)+15

x=3(Simplify both sides of the equation)

Answer:

x=3 and y=−6

7 0

2 years ago

Which function describes the arithmetic sequence shown<br><br> -1, 1, 3, 5, 7, 9, 11, 13, ...

riadik2000 [5.3K]

Answer:

f(n) = 2n - 3 describes the arithmetic sequence,

-1, 1, 3, 5, 7, 9, 11, 13,.......

Step-by-step explanation:

Function:

A function is like a machine that gives an output for a given input.

A function has an independent variable which is called the input of the function.

The output for a given input is called the dependent variable.

Here. 'n' is the independent variable

f(n) is the function dependent variable i.e function of n as an output.

For Arithmetic sequence

$a_{n}= a_{1} + (n-1)d$

Where

$a_{n}$ = nth number of the sequence.

a₁ = First term

d = common difference = a₂ - a₁ = a₃ - a₂ = so on

For a function which describes Arithmetic sequence,

a₁ = -1

d = 1 - -1 =2

∴ f(n) = a₁ + (n -1 )d

substituting the values we get

∴ f(n) = -1 +(n-1)2

using distributive property

∴ f(n) = - 1 + 2n - 2

∴ f(n) = 2n - 3 ..........is the required function

7 0

2 years ago

Add and simplify

Tanya [424]

Answer:

Your 1st answer is correct

Step-by-step explanation:

$\frac{1}{(x - 1)} - \frac{3}{(1 - x)} + 2$

$\frac{1}{(x - 1)} - \frac{3}{ - (x - 1)} + 2$

$\frac{1}{(x - 1)} + \frac{3}{(x - 1)} + 2$

$\frac{4}{(x - 1)} + 2$

$\frac{4 + 2(x - 1)}{x - 1}$

$\frac{4 + 2x - 2}{x - 1}$

$= \frac{2x + 2}{x - 1}$

$= \frac{2(x + 1)}{x - 1}$

6 0

2 years ago

Using a white-board with graph paper or graphing technology such as Geogebra be able to perform a reflection for a pre-image ove

Marta_Voda [28]

Explanation:

The line of reflection is the perpendicular bisector of the segment joining a point with its reflected image.

___

The segment joining a point with its reflection is as short as possible consistent with the requirement that the reflected point be the same distance from the line that the original is. That means it is perpendicular to the line of reflection. Since the distance from that line is the same on either side, the line of reflection bisects the joining segment.

7 0

2 years ago