Answer:
$4785.68
Step-by-step explanation:
Original amount: $4230
Interest for 1 year: 4.2%
First year;
[tex]4230 + (4230 \times \frac{4.2}{100}) \\ = 4230 + 177.66 \\ = 4407.66[/tex]
Second year;
[tex]4407.66 + (4407.66 \times \frac{4.2}{100} ) \\ = 4407.66 + 185.12172 \\ = 4592.78172[/tex]
Third year (total balance after 3 years);
[tex]4592.78172 + (4592.78172 \times \frac{4.2}{100} ) \\ = 4592.78172 + 192.89683224 \\ =4785.67855224[/tex]
Round the number;
$4785.68
YOUR ANSWER hope this helps :))
Answer: 4785.68
Step-by-step explanation: simpler way
B = P x (1 + R)^t
P = Staring Amount
R = Interest Rate
T = Time
B = Balance
B = $4230 x (1 + 0.042)^T
Given a cone 10 feet tall with a diameter of 10 feet, determine the radius of the smaller cone created when a horizontal plane passes through the cone at exactly 4 feet from the base.
Answer:
r=3 ft
Step-by-step explanation:
it is similarity of two triangles
one
perpendicular side=10 ft
base=10/2=5 ft
second
perpendicular side=10-4=6 ft
Base r=?
[tex]\frac{r}{5}=\frac{6}{10}\\r= \frac{6}{10} \times 5=3~ft[/tex]
In the diagram of circle A, what is the measure of ZXYZ?
35
70°
75
140
The solution is, the value is 35 degrees, is the measure of ZXYZ.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
here, we have,
from the given diagram, we get,
Using the intersecting secant theorem:
Angle xyz = 1/2( wz- XX)
Xyz = 1/2(175-105)
Xyz = 1/2(70)
Xyz= 35
The solution is, the value is 35 degrees, is the measure of ZXYZ.
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please help i give ponts
Answer:
x+5+2/x+2
Step-by-step explanation:
Using polynomial division you can simplify the expression to find the above numerical answer
Answer:
x+5+2/x+2
Step-by-step explanation:
can you predict the outcome of multiplying 750 by 0.1 without calculating
Answer:
750 × 1/10 = 750/10 = 75
Step-by-step explanation:
The best way to really predict the outcome of multiplying 750 by 0.1 without calculator is firstly, converting the decimal to a fraction to easily do the multiplication in your head.
Since one of the multiplicand is a decimal the products will be much complicated therefore, to convert the decimal number 0.1 to a fraction number we shift the point to the right hand side which simply translate to 1/10. The trick here is the number of times we shift the point will determine the number of zeros the denominator will possess. Assuming we have 0.12 as the decimal, it is required we shift the point twice and the resulting value we become 12/100. If the decimal is 0.123 it is required we shift the point 3 times , the resulting value will be 123/1000. Not the number of times we shift the point will determine the number of zero's of the denominator.
Finally, the 2 multiplicands are now 750 and 1/10 which is more easier to manipulate in our head.
750 × 1/10 = 750/10 = 75( you just cancel the zeros)
How many times greater is the value of the 4 in 42,672 than the value of the 4 in
37,426?
Answer:
Step-by-step explanation:
Value of 4 in 42,672 = 40,000
Value of 4 in 37,426 = 400
40,000 ÷ 400 =100
Value of 4 in 42,672 is 100 times greater than value of 4 in 37,426
An owner of a restraint wants to conduct a survey about possible menu changes. Give an example of a sampling method that would produce a valid sample.
Do you mean restaraunt?
Every 10th customer Every 15th customerSomething like that. I hope this helps.
On a coordinate plane, triangle A B C has points (negative 3, negative 1), (negative 2, negative 3), (1, negative 1) and is reflected across y = 1. Reflect the figure over the line y = 1. Which is point A’ after the reflection? A’(–3, 1) A’(–3, 3) A’(–3, 2) A’(1, 1)
Answer:
A' = (-3, 3)
Step-by-step explanation:
If the points are as follows:
A = (-3, -1)
B = (-2, -3)
C = (1, -1)
When reflecting across a y axis the x values remain the same.
When reflecting across y = 1 the y values will remain equal distant from y = 1.
A' = (-3, 3) y value = |-1 - 1| = 2 + 1 = 3
B' = (-2, 5) y value = |-3 - 1| = 4 + 1 = 5
C' = (1, 3) y value = |-1 - 1| = 2 + 1 = 3
Answer:
A' = (-3, 3)
Step-by-step explanation:
Question 1
(01.01 LC)
Which of the following is a rational number? (1 point)
square root of 48, square root of 49, square root of 50, square root of 51
Group of answer choices
square root of 48
square root of 49
square root of 50
square root of 51
Answer:
49
Step-by-step explanation:
7 is rational and it's the square root of 49.
Answer:
[p
Step-by-step explanation:
Question 10(Multiple Choice Worth 5 points)
(01.01 LC)
Which of the following is a rational number?
square root of 15, square root of 16 square root of 17, square root of 18
square root of 15
square root of 16
square root of 17
square root of 18
Pleaseee help!!!!......
Answer:
D
Step-by-step explanation:
PLEASE HELP!!!
I don't understand....
If possible, please explain!
Answer:
A. HL
Step-by-step explanation:
It cant be B because you cant do SSA
Its not C. Because there is only 1 angle
and it cant be D because the angles dont line up.
So is A. HL
Two triangular faces of a rectangular pyramid each have an area of 7.8 cm2 and the other two faces each have an area of 16.5 cm2. If the area of the base is 60 cm2, what is the total surface area of the pyramid? 84.3 cm2 108.6 cm2 157.2 cm2 168.6 cm2
The total surface area of the rectangular pyramid is the sum of the whole area. Therefore, the total surface area is 108. 6cm²
How to find the surface area of a pyramid?
The surface area of the rectangular pyramid is the sum of the whole areas.
The total surface area is the sum of the whole area.
A rectangular pyramid has 4 triangular faces and a rectangular base.
Therefore,
total surface area = 7.8 cm² + 7.8 cm² + 16.5 cm² + 16.5 cm² + 60 cm²
total surface area = 108.6 cm²
Therefore, the total surface area of the rectangular prism is 108. 6cm²
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Find the measure of arc BGF
180°
Step-by-step explanation:
measure of half a circle arc is 180
From B to F is 180 degrees because BF is a diameter.
Answer: 180 degrees
A line passes through the point (1,-3) and has a slope of -7. Find the equation of the line.
Answer:
y = -7x+4
Step-by-step explanation:
We can use the slope intercept form of the equation
y = mx+b where m is the slope and b is the y intercept
We know the slope
y = -7x+b
We have a point to substitute in for x and y
-3 = -7(1) +b
-3 = -7+b
Add 7 to each side
-3+7 =b
4 =b
We can substitute this back into
y = -7x+b
y = -7x+4
Answer:
y+-7x+4
Step-by-step explanation:
y-y1=m(x-x1)
y+3=-7(x-1)
y+3=-7x+7
y=-7x+4
Find the side lengths for the nets
PLEASE HELP, ILL GIVE BRAINLIEST.
URGENT.
Answer:
y=1/2x+0
Step-by-step explanation:
slope is 1/2
y=1/2x+b
plug in (0,0)
b=0
y=1/2x+0
Answer:
Equation: y=1/2x
Step-by-step explanation:
The equation's formula is: y=mx+b
m is slope b is y-intercept
Please mark brainliest! Hope this helps :)
Can someone help me and show how to write the perimeter equation to find x.
50 points. Answer part b. for full 70 points
Answer:
a) 10x + 8 = 21
b) x = 1.3
Step-by-step explanation:
The line of symmetry is a vertical line that passes through point C.
That makes sides BC and CD congruent, and sides AB and ED congruent.
perimeter = AB + BC + CD + DE + EA
perimeter = 2x + 3 + x + 1 + x + 1 + 2x + 3 + 4x = 10x + 8
perimeter = 21
a) Equation:
10x + 8 = 21
b)
10x + 8 = 21
10x = 13
x = 1.3
Create a list of steps, in order, that will solve the following equation.
3(x+2)^2=48
Answer:
Start with the given equation.
%28x-2%29%5E2=%2848%29%2F%283%29 Divide both sides by 3.
%28x-2%29%5E2=16 Reduce.
x-2=%22%22%2B-sqrt%2816%29 Take the square root of both sides.
x-2=sqrt%2816%29 or x-2=-sqrt%2816%29 Break up the "plus/minus" to form two equations.
x-2=4 or x-2=-4 Take the square root of 16 to get 4.
x=2%2B4 or x=2-4 Add 2 to both sides.
x=6 or x=-2 Combine like terms.
Step-by-step explanation:
Help asap!!!
Find the volume of the cylinder. r measures 6 centimeters, height measures 3 centimeters
339.12 cm^3 or 108π
Step-by-step explanation:
The formula for the volume of a cylinder is...
[tex]V=\pi r^2h[/tex]
Since you didn't specify whether you want an exact answer (leaving pi) or an approximate answer (pi is 3.14), I will be doing both. First I will be doing the approximate answer.
I will plug everything into the formula that is needed, then solve.
[tex]V=3.14*6*6*3[/tex]
[tex]V=[/tex]
339.12 cm^3
Now I will be doing the exact answer, which is pretty much the same but leaving pi as it is without turning it into 3.14.
[tex]V=\pi *6*6*3[/tex]
[tex]V=[/tex]
108π
Find the constant of variation k for the inverse variation. Then write an equation
for the inverse variation.
y=2.5 when x = 9
Answer:
k = 22.5
xy= 22.5
Step-by-step explanation:
A right-angled triangle has a hypotenuse
of length 45 cm and adjacent sides of
36 cm and 27
Calculate the perimeter and area
Answer:
P = 108cm
A = 486 cm^2
Step-by-step explanation:
To find the perimeter add up all the side
P = 36+27+ 45 =108 cm
The area is
A = 1/2 bh
A = 1/2( 27)*36
A = 486 cm^2
Data was collected on the weight of a male laboratory rat for the first 25 weeks
after its birth. The linear regression equation is y= 40x+100, where x is number of
weeks and y is weight in grams.
What does the y-intercept mean in context of the problem?
The predicted weight of the rat in year 0.
The current weight of the rat.
The predicted weight of the rat at birth
The average increase in the rat's weight
Answer:
[tex] y = 40x +100[/tex]
where x is number of weeks and y is weight in grams.
For this case the y intercept is the value 100 and represent the initial weight for 0 weeks and the best interpretation for this case is given by:
The predicted weight of the rat at birth
And the reason is because the starting value for the weigth represent the weight for the birth
Step-by-step explanation:
For this case we have the following equation given:
[tex] y = 40x +100[/tex]
where x is number of weeks and y is weight in grams.
For this case the y intercept is the value 100 and represent the initial weight for 0 weeks and the best interpretation for this case is given by:
The predicted weight of the rat at birth
And the reason is because the starting value for the weigth represent the weight for the birth
Find the volume of a cylinder when the radius is 9 cm and the length is 20 cm
Answer:
5089.38 cm OR 1620π
Step-by-step explanation:
The formula for the volume of a cylinder is π[tex]r^{2}[/tex]h so if the radius is 9, 9 squared is 81. We multiply 81 by 20 and that gives us 1620. So in terms of pi, it is 1620π but if you just multiply it all together, it gives you 5089.38 cm. Please mark me brainliest and I hope this helped!
Based on the radius and the length of the cylinder, we can calculate that its volume is 5,091.43 cm³.
The volume of a cylinder can be calculated by the formula:
= π x radius² x height
Solving will give:
= π x 9² x 20
= π x 81 x 20
= 5,091.43 cm³
In conclusion, the volume is 5,091.43 cm³
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math question screen shot down below
Answer:
The correct answer is E
Step-by-step explanation:
you multiply each of them and you get a total of 580.608 this number is rounded to 580.6.
you can choose more than 1
Answer:
A
Step-by-step explanation:
If you were to multiply the top by 7 then add you would cancel out the x and if you were to multiply the bottom by 6 then when you use the subtraction method you multiply the top by negative and if that were to happen you would do -6x + -6x which would cancel nothing out. But if you just add the two equations nothing would cancel out.
Hope this helped!
Answer:
A
Step-by-step explanation:
If you multiply the top by 7, when you add you can cancel out -7x and 7x. The second one doesn't work because it said subtract at the end. If you subtract then it won't cancel out the y's.
Find the missing values (4,16) and (x,24)
Answer:
(6, 24)
Step-by-step explanation:
this is the other part! please help!
Answer:
Line B
Step-by-step explanation:
Line b is the the correct answer because the line has the most dots near or on it
Using the unit circle find the exact value. CSC -30º =
Answer:
csc (- 30)° = - 2
Step-by-step explanation:
Using the trigonometric relationship
csc x = [tex]\frac{1}{sinx}[/tex] and the exact value sin30° = [tex]\frac{1}{2}[/tex]
sin(- 30)° = - sin30° = - [tex]\frac{1}{2}[/tex], thus
csc (- 30)° = [tex]\frac{1}{-\frac{1}{2} }[/tex] = - 2
Please help me with this question I will mark you as the best answer
Answer:
2/3
Step-by-step explanation:
By counting the distance from point to point, I got 4 up, 6 to the right, aka 4/6
By simplifying it, I get 2/3!
Hope that helps!
Answer:
2/3 the second one
I hope this helps you
Can someone help with step by step
Answer:
b
Step-by-step explanation:
i cant read it
Which best describes the relationship between the
125° angle and angle A?
They are same side interior angles. Angle A
measures 55°
O They are alternate interior angles. Angle A
measures 125°
O They are vertical angles. Angle A measures 125º.
They are corresponding angles. Angle A measures
55°
Answer:
A. They are same side interior angles. Angle A measures 55°.
Step-by-step explanation:
Got it right on Egd.
Option A.) is correct. They are same side interior angles. Angle A measures 55°.
What is angle?The angle can be defined as the one line inclined over other line.
questions seem to be in incomplete, Although question could be
what would be sum of the interior angles of a quadrilateral.
The sum of the interior angle = 180
A = 180-125
A = 55°
Thus, the required Angle A measures is 55°.
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