Using the formula of Simple Interest, the value for the principal amount is obtained to be P = $1333.33.
What is Simple Interest?
Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time. Contrary to compound interest, where we add the interest of one year's principal to the next year's principal to compute interest, the principal amount under simple interest remains constant.
The value for Simple Interest is given as = $180
The value for rate is given as = 4.5%
The value for time is given as = 3 years
To find the value for Principal amount, follow the formula for Simple Interest -
SI = P R T/100
Where P is the principal amount, R is the rate and T is the time.
Substitute the values in the equation -
180 = (P × 4.5 × 3)/100
180 = 13.5P / 100
P = (180 × 100) / 13.5
P = 18000 / 13.5
P = 1333.33
Therefore, the value for principal amount is $1333.33.
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What is the slope of the line in the graph? HELPPPPPPPP WILL GIVE BRAINLYIST TO CORRECT ANSWER!!!!!
Answer:
(-1,1),(-2,-1)
Step-by-step explanation:
brainliest please
please simplfy 7x + 6 + 3x – 2 – 5x
Answer:
5x+4
Step-by-step explanation:
Answer:
5x + 4
Step-by-step explanation:
7 + 3 - 5 = 10 - 5 = 5x
6 - 2 = 4
5x + 4
Does the point (6, 0) satisfy the equation y = x + 6?
yes or no
Answer:
No.
Step-by-step explanation:
You have to replace the (6,0) with the equation at hand. So, since 6 is in the X spot and 0 is in the Y spot, the equation would then look like 0=6+6. The equation is false as you can see.
No, this point does not lie on the line y = x + 6.
What is the general equation of a Straight line?
The general equation of a straight line is -
y = mx + c[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.Other possible equations of lines are -
(y - y₁) = m(x - x₁) {Point - slope form}(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁) {Two point - slope form}x/a + y/b = 1 {intercept form}x cos(β) + y sin(β) = L {Normal form}We have the equation of line as -
y = x + 6
For point (6, 0), we can write -
0 = 6 + 6
0 ≠ 12
Therefore, no, this point does not lie on the line -
y = x + 6
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1. simplify the following fractions: 12/36
Answer:
1/3
Step-by-step explanation:
12/36 = 6/18 = 3/9 = 1/3
What are the intercepts of the graphed function?
x-intercept = (0, –1) y-intercept = (0, –3)
x-intercept = (0, –1) y-intercept = (–3, 0)
x-intercept = (–1, 0) y-intercept = (0, –3)
x-intercept = (–1, 0) y-intercept = (–3, 0) Oops! The y-intercept was incorrect!
Answer:
The first option.
Step-by-step explanation:
The part that's cut off it says To the nearest tenth of a percent, what's percent...
and is the answer 3.3?
Answer:
Yes you are correct.
Target sells 3 apples $1.50 what is the cost of 20 apples
Answer:
$10
Step-by-step explanation:
1.50 divided by 3 = 0.50
0.50 x 20 = 10
A room has a perimeter of 40 feet. The length is 4 less than 2 times the width. What are the dimensions of the room?
Answer:
First, develop an equation for this scenario. The formula to find the perimeter of a quadrilateral is 2l+2w. Because the length is 4 less than twice the width, this would be translated to (2w-4). Plug this into the variable for the length to get 2(2w-4)+2w=40. Distribute the 2 to get 4w-8+2w=40. Add the like terms to get 6w-8=40. Add 8 to both sides and get 6w=48. Divide 6 to result with w=8.
Now that we know w, we can substitute 8 into the variable to solve for the length. 2l+2(8)=40. Multiply 8 and 2 to get 2l+16=40. Subtract 16 to both sides to get 2l=24. Divide 2 to both sides to result with l=12.
Length = 12 feet
Width = 8 feet
I REALLY NEED HELP!!!!
Answer:
1 2/8 inches
Step-by-step explanation:
smallest = 2/8
largest = 1 4/8
difference = 1 2/8
What is the equation for a line with a slope of 5 and a y-intercept of 11?
Answer:
y=5x+11
Step-by-step explanation:
-2x^3+15x^2-22x-15; (x-3) polynomial function
Answer: Down Below
Step-by-step explanation: Solving for -2x^3 + 15x^2 - 22x - 15(x - 3) = 0
Standard form:
−2x3 + 15x2 − 37x + 45 = 0
Factorization:
−(2x − 9)(x2 − 3x + 5) = 0
Ben is standing 8 feet from
the base of a telephone pole.
The angle of elevation from the
point on the ground where he is
standing to the top of the pole
is 62°. Find the height of the
telephone pole. Round to
the nearest tenth.
Answer:
Approximately 15.05 ft
Step-by-step explanation:
You need to use tangent for this question.
Since tan θ = [tex]\frac{Opposite}{Adjacent}[/tex]
to find the Opposite, we need to rearrange the equation to:
Adjacent × tan θ = Opposite.
So if you insert 62 for θ and 8 feet for Adjacent, you will get:
8 × tan(62) = Opposite.
and you will get approximately 15.05 feet for your Opposite side
can someone please help me I only have a few minutes
Answer:
(x + 8)(y - 3)
Step-by-step explanation:
Since you have a few minutes left, I will make this quick.
Focus on one letter within the trapezoid ABCD. Pick a certain letter that can correlate to trapezoid A'B'C'D'.
If we move B to B', we would notice it takes 8 skips,therefore (x + 8). If we do the same for y, we would notice it takes 3 skips down. Therefore (y - 3)
a rectangular garden measures 22.7 m by 16.6 m how many meters of fencing materials are needed to enclose it the fencing materials cost 12.50 per meter
Answer:
78.6m of fencing
That would cost $982.50
Step-by-step explanation:
Perimeter: 2(22.7)+2(16.6)=P
P = 78.6
Cost: 78.6*12.50
C = 982.50
Please please help asap!!! I will mark brainliest!!!
Answer:
The other angle is 63 if it is asking what I think it is asking
Step-by-step explanation:
If it is right can you mark brainliest
Answer:
63 or 72
Step-by-step explanation:
a^2 + 6=
a=5
Evaluate
Answer:
31
Step-by-step explanation:
[tex]a^{2} +6=?[/tex]
[tex](5)^{2} +6=?[/tex]
[tex]25+6=?[/tex]
=31
The expression 2x^2+5x-12 is equivalent to which of the following?
a
(2x-3)(x+4)
b
(x+3)(2x-4)
c
(2x-3)(2x+2)
d
(2x+3)(x-4)
Answer:
letter D
Step-by-step explanation:
2
x
2
−
5
x
−
12
We can Split the Middle Term of this expression to factorise it.
In this technique, if we have to factorise an expression like
a
x
2
+
b
x
+
c
, we need to think of 2 numbers such that:
N
1
⋅
N
2
=
a
⋅
c
=
2
⋅
−
12
=
−
24
and,
N
1
+
N
2
=
b
=
−
5
After trying out a few numbers we get:
N
1
=
−
8
and
N
2
=
3
3
⋅
(
−
8
)
=
−
24
, and
3
+
(
−
8
)
=
−
5
2
x
2
−
5
x
−
12
=
2
x
2
−
8
x
+
3
x
−
12
=
2
x
(
x
−
4
)
+
3
(
x
−
4
)
(
x
−
4
)
is a common factor to each of the terms
=
(
2
x
+
3
)
(
x
−
4
)
Answer:
a see below for explanation
Step-by-step explanation:
2x^2 + 8x - 3x - 12
2x^2 +5x - 12
Solve. Then, rewrite the complete number sentence in decimal form
Step-by-step explanation:
a)
6.9+1.1= 8
b)
9.9+2.45=12.35
[tex]12 \frac{35}{100} [/tex]
c)
2.4+8.9=11.3
[tex]11 \frac{3}{10} [/tex]
d)
6.37+7.7=14.07
[tex]14 \frac{7}{100} [/tex]
(3x3_10x=2x+20)=(x-3)
Answer:
is that 3 time 3 or it is 3x? do you meant minus by using underscore?
Step-by-step explanation:
Which number makes the equation true?
blank divided by eighteen equals one third
Question 13 options:
32
24
12
6
Answer:
6
Step-by-step explanation:
x/18 = 1/3
3x = 18
x = 6
Which of the following could be the side lengths of a right triangle?
Question 1 options:
1 in, 2, in, 3 in
2 m, 5 m, 5 m
12 ft, 16 ft, 20 ft
3 in, 4 in, 6 in
Answer:
its C
Step-by-step explanation:
it cant be b because there would be no longest side
neither d or a because ive done the math for it
Which of the following statements is NOT a property of parallelograms?
Opposite angles are congruent.
Opposite sides are parallel.
Parallelograms have 4 straight sides.
All sides are parallel.
Answer:its that all sides are parallell
Step-by-step explanation:
because it has two sets of parrallel sides all of them are not paralell
Answer:
All sides are parallel.
Step-by-step explanation:
shapes can't even be made if all the sides are parallel. The angles need to be added up to 360 degrees. There won't even be angles if all the lines are parallel. The opposite sides have to be parallel.
Erik used 28 centimeters of tape to wrap 7 presents. How much tape will Erik need in all if he has to wrap 12 presents? Solve using unit rates.
Answer:
Length of tape required to wrap 12 presents is 48 centimeters.
Step-by-step explanation:
Length of tape required to wrap 7 presents = 28 centimeters
Length of tape required to wrap 1 present = [tex]\frac{28}{7}=4[/tex] centimeters
Therefore,
Length of tape required to wrap 12 presents = 12 × Length of tape required to wrap 1 present
= 12 × 4
= 48 centimeters
Which of the following indicates that ABC and DEF are similar?
Answer:
The answer of the question is b
Similar triangles are those triangles whose corresponding sides are in the same ratio. The correct option is A, ΔABC ~ ΔDEF.
What are similar triangles?Similar triangles are those triangles whose corresponding sides are in the same ratio. And the corresponding angles measure the same. It is denoted by the ‘~’ symbol.
For the two triangles, we can denote the similarity ΔABC ~ ΔDEF.
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please help this is algebra II
Answer:
m=5
Step-by-step explanation:
10v2 + 50
o Linear binomial
o Constant binomial
Quadratic binomial
Quadratic trinomial
Answer:
So what is the question? probably to describe the polynomial 10v^2 + 50. okay. the polynomial is a quadratic (it is to the 2nd power) and a binomial (2 terms).
the sum of two numbers is 84 and one of them is 12 more than the other what are the two numbers
Write an algebraic expression for three times the quantity q minus eleven
(x^2+3x^2-kx-24)÷(x+3) what's the value of k??
Answer:
-4
Step-by-step explanation:
since x+3 is a factor of the polynomial (x^2+3x^2-kx-24), then;
x+3 = 0
x = -3
Substitute x = -3 into the polynomial
x^2+3x^2-kx-24 = 0
(-3)^2+3(-3)^2-(-3)k-24 = 0
9 + 27 + 3k - 24 = 0
36-24 + 3k = 0
12 = -3k
k = -12/3
k = -4
Hence the value of k is -4
What is the y-intercept
Answer:
-2
Step-by-step explanation:
hope this helps!!!!!!!?