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Lana71 [14]
3 years ago
10

Answer this equation 256-3x=384-5x

Mathematics
2 answers:
Maurinko [17]3 years ago
8 0
-3x =384-256-5x
-3x = 128-5x
5x-3x=128
2× = 128
x = 128/2 = 64
:. x = 64
Elena L [17]3 years ago
5 0
(256-3x) - 384 = (384-5x) -384

-128-3x=-5x

(-128-3x) + 3x = (-5x + 3x)

-128 = -2x

-128÷-2 = -2x÷-2

64=x
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1,030 at 4% compounded semiannually for 2 years
kotegsom [21]

Answer: $1114.91

Step-by-step explanation:

The formula for compound interest is

A= P(1+\frac{r}{n})^{nt}  \\

Where

A = final amount

P = initial principal balance (1030 for this)

r = interest rate (0.04 for this)

n = number of times interest applied per time period (2 for this)

t = number of time periods elapsed (2 for this)

A= 1030(1+\frac{.04}{2})^{(2)(2)}  \\\\A= 1030(1+0.02)^{4} \\A=1030(1.02)^4\\A=1114.905125

This rounds up to $1114.91

6 0
2 years ago
Please solve these questions. (Geometry)
son4ous [18]
No idea what this is, sorry
5 0
3 years ago
What is the future value of $845 a year for seven years at an interest rate of 11.3 percent? $6,683.95 $6,075.69 $8,343.51 $8,00
k0ka [10]
The future value of cash whose initial value is $845, at the rate of 11.3% for 7 years will be calculated using the compound interest rate, that is:
A=p(1+r/100)^n
where:
A=future amount
r=rate=11.3%=0.113
time=7 years
thus the future value of our cash will be:
A=845(1+0.113)^7
A=845(1.113)^7
A=$1,787.82 
7 0
3 years ago
Read 2 more answers
The area of a rectangle is 70 m², and the length of the rectangle is 11 m less than three times the width. Find the dimensions o
11111nata11111 [884]

Step-by-step explanation:

the area of a rectangle is

length × width

in our case

length × width = 70 m²

length = 3×width - 11

we can use this second equation in the first and get

(3×width - 11) × width = 70

3×width² - 11×width - 70 = 0

the general solution to a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 3

b = -11

c = -70

x = (11 ± sqrt((-11)² - 4×3×-70))/(2×3) =

= (11 ± sqrt(121 + 840))/6 =

= (11 ± sqrt(961))/6

x1 = (11 + 31)/6 = 42/6 = 7

x2 = (11 - 31)/6 = -20/6 = -10/3

the negative solution is not applicable for a length in an object.

so, only x1 = 7 m is our solution.

the width of the rectangle is 7 m.

the length = 3×width - 11 = 3×7 - 11 = 21-11 = 10 m

7 0
2 years ago
Select the correct answer.
antoniya [11.8K]

The range of the function shown on the graph (see attachment) is: D. -9 ≤ y ≤ 8.

<h3>What is a range?</h3>

A range can be defined as the set of all real numbers that connects with the elements of a domain. This ultimately implies that, a range refers to the set of all possible output numerical values, which are shown on the y-axis of a graph.

<h3>How to identify the range of this graph?</h3>

The vertical extent of a graph represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.

By critically observing the graph shown in the image attached below, we can reasonably infer and logically deduce the following:

Range = [-9, 8]

In interval notation, the range of this graph can be rewritten as -9 ≤ y ≤ 8.

Read more on range here: brainly.com/question/16610662

#SPJ1

<u>Complete Question:</u>

Select the correct answer.

A graph plots two points at (negative 7, 8) and (negative 2, negative 9) on the x y coordinate plane. A diagonal curve connects both points.

What is the range of the function shown on the graph above?

A. -7≤y≤-2

B.-8≤y≤8

C.-2≤y≤-7

D. -9≤y≤8

4 0
1 year ago
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