The annual interest that can be earned through investment of an amount at a simple interest can be calculated through the equation,
I = P x (i)
where I is interest, P is the principal amount, and i is the decimal equivalent of the interest.
Let x be the amount deposited with 3.5% interest. With this representation, the amount deposited with 5.5% is 5800 - x.
The linear equation that would represent the given scenario is,
x(0.035) + (5800 - x)(0.055) = 283
Simplifying the equation,
0.035x + 319 - 0.055x = 283
Combining like terms,
-0.02x = -36
Dividing by -0.02,
x = 1800
$5800 - x = $5800 - $1800 = y
y = $4000
Hence, the value that should be deposited to the 5.5% is $40000.
Answer:
14/24 ( simplified = 7/12)
Step-by-step explanation:
to find this we multiply the fractions 2/3 and 7/8
7/8 x 2/3 = 14/24
So Shannon ate 14/24 lb
You can simplify to = 7/12
Answer:
She should contribute $ 8369.38 ( approx )
Step-by-step explanation:
Let P be the amount invested by the other partner,
∵ The amount formula in compound interest,
Where,
r = annual rate,
n = number of compounding periods in a year,
t = number of years,
Here, r = 9% = 0.09, n = 4 ( quarters in a year ), t = 2 years,
Then the amount after 2 years,
According to the question,
A = $ 10,000,
Answer:
The equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4) is x=-5
Option A is correct.
Step-by-step explanation:
We need to find equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4)
We need a line parallel to x=-2 or x+2=0 it should be of form x+k=0
We need to find k, by putting value of x=-5 as given in question the point(-5,4)
-5+k=0
k=5
So, the equation of line will be found by putting k=5:
x+k=0
x+5=0
x=-5
So, the equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4) is x=-5
Option A is correct.
Answer:
Jaden has to plant the geranium in the circumcentre of the triangular yard in order such that it is equidistant from all its vertices.
Step-by-step explanation:
In Jaden’s yard, there is a triangular garden patch. He wants to plant a geranium in the patch at a point equidistant from all its vertices.
<em>" The CIRCUMCENTER (C) of a triangle is the point in the plane equidistant from the three vertices of the triangle "</em>
Hence Jaden has to plant the geranium in the circumcentre of the triangular yard in order such that it is equidistant from all its vertices.
