Answer: $1114.91
Step-by-step explanation:
The formula for compound interest is

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)

This rounds up to $1114.91
No idea what this is, sorry
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
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
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