Lydia has half of her investment in stock paying a 7% dividend and the other half in a stock paying 13% interest. If her total annual interest is $410, how much does she have invested?
Answer:
$4,100
Step-by-step explanation:
Interest = principal * rate * time
Let entire principal = amount invested = p
Investment A :
Rate, r = 7%, principal = p/2, time, = 1
Investment B :
Rate, r = 13%, principal = p/2, time = 1
Total interest = $4.10
(p/2 * 0.07 * 1) + (p/2 * 0.13 * 1) = 410
0.035p + 0.065p = 410
0.1p = 410
p = 410 / 0.1
p = $4100
Please hurry I will mark you brainliest
What is the equation of the line through the point (2, 3) with slope -2?
Answer:
y = -2x+7
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = -2x+b
Using the point
3 = -2(2)+b
3 = -4+b
3+4 = b
7=b
y = -2x+7
If area of circle is 210cm ,find the value of radius
Answer:
8.18
Step-by-step explanation:
r = square root of A/ pi
R = square root 210/ 3.14
I hope the formula helped!
The slopes of 2 lines are in the attachment. what is the value of ‘a’ that will make the lines PARALLEL and PERPENDICULAR
Answer:
a. a = -12
b. a = 27
Step-by-step explanation:
a. Two lines that are parallel have the same slope, making the slopes equal ot each other:
[tex]-\frac{3}{2} =\frac{18}{a}[/tex]
We can cross multiply and solve for a:
[tex]-3a = 36\\a = -12[/tex]
b. Two lines that are perpendicular have the negative reciprocal of each other. This means that you would flip the fraction and multiply by a negative as shown below:
[tex]-\frac{3}{2} --> \frac{2}{3}[/tex]
This would be the slope of the other line, so we can write:
[tex]\frac{2}{3} = \frac{18}{a}[/tex]
as both expressions express the slope of the same line. We can cross multiply and solve to get:
[tex]2a = 54\\a = 27[/tex]
A flagpole is propped on the east side corner of the roof of a building. The angle of depression from the top of the flagpole (Angle B) to a point on a neighboring building is 54 degrees. The angle of depression from the bottom of the flagpole (Angle A) to that same point on the building is 41 degrees. The distance from the edge of the building with the flagpole to the point on the neighboring building is 1660 feet (x). What is the height of the flagpole to the nearest tenth
Answer:
The height of flag pole is 841.8 ft.
Step-by-step explanation:
Let the height of the flag post is h.
x = 1660 ft
According to the triangle, ABC
[tex]tan 41 = \frac{y}{1660}\\\\y = 1443 ft[/tex]
Now According to the triangle ABD
[tex]tan 54 = \frac{h + y }{1660}\\\\h + 1443 = 2284.8\\\\h = 841.8 ft[/tex]
What’s the coordinates for Y-3>2x+2 on a graph?
Instructions: Find the measure of the missing angles in the kite
Answer:
m∠1 = 90º
m∠2 = 25º
Step-by-step explanation:
m∠1
diagonals of a kite are perpendicular by definition
m∠2
the 65º angle, the angle to the right of ∠1, and ∠2 form a triangle
we know that triangles are 180º
65º + 90º + m∠2 = 180º
m∠2 = 25º
Density of wood is a very important trait for furniture making. There are two main important mechanical properties: strength and stiffness. Research has shown that a increase density equals an increase strength, hardness and stiffness of sawn timber.
A carpenter has two pieces of wood. He wants to find the density of each piece.
The first piece came from a birch tree. The piece of birch wood measures 2 meters by 4 meters by 3 meters and weighs (mass) 16 kilograms.
The second piece came from a cypress tree. The piece of cypress wood measures 3 meters by 5 meters by 2 meters and weighs (mass) 15.3 kilograms.
Which piece of wood has a greater density? You must show your work in order to receive credit.
Step-by-step explanation:
The Birch tree has a greater density.
The topic= Direct and Inverse Proportions
It is given that y is directly proportional to x and y=36 and when x=12
(a)
An equation connecting to x and y
(b)
That value of y when x=5
(c)
The value of x when y=12
Please help me answer my hw, thank you!
Answer:
A) 3
B)60
C)4
Step-by-step explanation:
y = kx
36 = 12k
A)k=3
~~~~~~~~~~
b) 60
12*5
c) 4
12/3
I really need help……
Answer:
Option C
Step-by-step explanation:
A function's input is assigned to exactly one output. Any input must not repeat.
Option A's not a function because the input of 3 repeats.
Option B's not a function because the input of -4 repeats.
Option C's a function because no inputs repeat.
Option D's not a function because the input of 5 repeats.
Hope this helps.
I just need to know if my answer is correct or not please!
Answer:
Step-by-step explanation:
correct 100%
Help anyone can help me do this question,I will mark brainlest.
Answer:
but what to do in do I have to find the area of the particular Region or a length of that
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan. Click the trashcan to clear all your answers.
Indicate the equation of the line through (2, -4) and having slope of 3/5.
Answer:
The equation of the line is [tex]y = \frac{3}{5}\cdot x -\frac{26}{5}[/tex].
Step-by-step explanation:
Given the values of the slope and a point of the line, we can derive the equation of the line by means of this formula:
[tex]y-y_{1} = m\cdot (x-x_{1})[/tex] (1)
Where:
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
[tex]m[/tex] - Slope.
[tex](x_{1}, y_{1})[/tex] - Coordinates of the given point.
If we know that [tex]m = \frac{3}{5}[/tex] and [tex](x_{1},y_{1}) = (2, -4)[/tex], then the equation of the line is:
[tex]y+4 = \frac{3}{5}\cdot (x-2)[/tex]
[tex]y + 4 = \frac{3}{5}\cdot x -\frac{6}{5}[/tex]
[tex]y = \frac{3}{5}\cdot x -\frac{26}{5}[/tex]
The equation of the line is [tex]y = \frac{3}{5}\cdot x -\frac{26}{5}[/tex].
What is the length of the altitude of the equilateral triangle below?
A. /240
B. 144
C. 12
D. 4
E. 12/3
F. 4/3
Answer:
its C option which is 12
Answer:
A
Step-by-step explanation:
Using Pythagoras' identity in either of the 2 right triangles
a² = (4[tex]\sqrt{3}[/tex] )² + (8[tex]\sqrt{3}[/tex] )² = 48 + 192 = 240 ( take square root of both sides )
a = [tex]\sqrt{240}[/tex] → A
NEED HELP ASAP, find the value of X
Answer:
C
Step-by-step explanation:
Given 2 intersecting chords in a circle, then
The product of the parts of one chord is equal to the product of the parts of the other chord, that is
DK × KB = AK × KC , substitute values
12(4x + 1) = 14(3 + 3x) ← distribute parenthesis on both sides )
48x + 12 = 42 + 42x ( subtract 42x from both sides )
6x + 12 = 42 ( subtract 12 from both sides )
6x = 30 ( divide both sides by 6 )
x = 5 → C
(3 1/3) (6) What is the answer?
Answer:
20
Step-by-step explanation:
(6x3=18) (6x1/3=2) (18+2=20)
First things first!
Multiply 6 by 3 (18).
Mulitply 6 by 1/3 (2).
Add 18 and 2, and ... *drum roll*, the final answer is 20!
Hope this helps :)
HELPPPPP ASAP!!!! Thx!! and NOOO FILESSSS!!
Answer:
[tex]x=32[/tex]°
Step-by-step explanation:
The law of sines is a property of all triangles that relates the sides and angles of a triangle. This property states the following:
[tex]\frac{sin(a)}{A}=\frac{sin(b)}{B}=\frac{sin(c)}{C}[/tex]
Where side (A) is the side opposite angle (<a), side (B) is the side opposite angle (<b), and side (C) is the property opposite angle (<c).
Substitute each of the sides and respective angles into the formula, and solve for the unknown angle (<x). Please note that a triangle with two congruent sides (referred to as an isosceles triangle) has a property called the base angles theorem. This states that the angles opposite the congruent sides in an isosceles triangle are congruent. Therefore, there can be two (<x)'s in this triangle.
[tex]\frac{sin(a)}{A}=\frac{sin(b)}{B}=\frac{sin(c)}{C}[/tex]
[tex]\frac{sin(x)}{10}=\frac{sin(116)}{17}=\frac{sin(x)}{10}[/tex]
One can shorten the equation so it only holds the parts that will play a role in solving this equation,
[tex]\frac{sin(x)}{10}=\frac{sin(116)}{17}[/tex]
Now take the cross product in this equation to simplify it further,
[tex]\frac{sin(x)}{10}=\frac{sin(116)}{17}[/tex]
[tex]17(sin(x))=10(sin(116))[/tex]
Inverse operations, solve this equation for (x),
[tex]17(sin(x))=10(sin(116))[/tex]
[tex]sin(x)=\frac{10(sin(116))}{17}[/tex]
[tex]x=sin^-^1(\frac{10(sin(116))}{17})[/tex]
[tex]x=31.91782...[/tex]
[tex]x\approx32[/tex]
Answer:
hello,
Step-by-step explanation:
the triangle is isocele,
x+x+116=180
x=(180-116)/2
x= 32° (thirty-two , trente-deux in french)
Someone please help me with this
Answer:
Step-by-step explanation:
Answered by Gauthmath
Theodore recently hired a contractor to do some necessary work. On the final bill, Theodore was charged a total of $715. $315 was listed for parts and the rest for labor. If the hourly rate for labor was $50, how many hours of labor was needed to complete the job?
Answer:
Hours of labor needed = 8 hour
Step-by-step explanation:
Given:
Amount total charged = $715
Listed amount = $315
Hourly rate for labor = $50
Find:
Hours of labor needed
Computation:
Total amount of labour = Amount total charged - Listed amount
Total amount of labour = 715 - 315
Total amount of labour = $400
Hours of labor needed = Total amount of labour / Hourly rate for labor
Hours of labor needed = 400 / 50
Hours of labor needed = 8 hour
Matching Functions
Directions: On the next page are (5) graphs, (5) equations, (5) tables, and (5) unique properties. They are out of
order. Your performance task is to match the equation, table, and property to the correct graph.
Answer:
Graph A → Equation A → Table B → Property D
Graph D → Equation B → Table A → Property B
Graph B → Equation C → Table C → Property E
Graph C → Equation D → Table E → Property A
Graph E → Equation E → Table D → Property C
Step-by-step explanation:
Graph A corresponds to equation A, x·y = 2, and Table B → Property D
xy = 2 has a vertical asymptote at x = 0, and a horizontal asymptote at y = 0
y = 2/x, when x = 0, y = ∞
Graph D corresponds to equation B, [tex]-\left | x\right |[/tex] + 1 which corresponds to table A → Property B
The domain extends from (-∞, ∞), and [1, -∞)
Graph B corresponds to equation C, -(x + 2)² which gives the values in Table C and Property E wich is a horizontal shift of 2 units left and a reflection across the x-axis
Graph C corresponds to equation D, (1/3)·x - 2, which gives the values on Table E and Property A
The y-intercept of (1/3)·x - 2 = (0, -2), and the x-intercept = (6, 0)
Graph E corresponds to equation E, x³ = y, which gives the values on Table D Property C, y is x cubed
Find an explicit rule for the nth term of the sequence.
-1, -5, -25, -125, ...
Answer:
-(5^N)
Step-by-step explanation:
The sequence is a negated 5 to the N power
ex.) -(5^0) = -1
-(5^1) = -5
-(5^2) = -25
-(5^3) =125
Find the value of x.
A. 75
B. 80
C. 57
D. 40
Answer:
80
Step-by-step explanation:
since a=40
40x2 is 80
The value of x is 80 which is the correct answer would be an option (B)
What are the Angles of Intersecting Secants Theorem?Angles of intersecting secants theorem states that, If two lines intersect outside a circle, then the measure of an angle formed by the two lines is one-half the positive difference of the measures of the intercepted arcs.
Given that angle ∠a = 40°
∠x = 2∠a
Substitute the value of ∠a = 40°
∠x = 40×2
∠x = 80°
Hence, the value of x is 80 degree
Learn more about the Angles of intersecting secants here:
brainly.com/question/15532257
#SPJ2
Is the answer I’ve chosen correct? This is really confusing for my stressed brain :(.
Answer:
X is greater than 5.
Step-by-step explanation:
You choose the correct answer because X > 5.
Meaning that x would be any number over 5.
The radius of the base of this right circular cone is 10 centimeters and the slant height of the cone is 25 centimeters. What is its surface area? Leave your answer in terms of
OA) 100 cm OC) 350 cm? OB) 250 cm OD) 6257 cm
Answer:
C.) [tex]350\pi[/tex] [tex]cm^{2}[/tex]
Step-by-step explanation:
Since we are given the radius of the cone's base and the slant height, we can use the following equation to solve for surface area:
[tex]A = \pi r^{2} + \pi rl[/tex]
Now we just plug in the given information and solve:
[tex]A = \pi (10cm)^2 + (\pi) (10cm)(25cm)\\A = 100\pi cm^2 + 250\pi cm^2\\A = 350\pi cm^2[/tex]
find the measure of the missing angles in the kite
Answer: 360 - 44 - 80 = 236
236 ÷ 2 = 118
both angle equal to 118
Step-by-step explanation:
The measure of angle 1 is 118 degrees and the measure of angle 2 is 118 degrees.
What is quadrilateral?It is defined as the four-sided polygon in geometry having four edges and four corners.
We know that kite is quadrilateral, having :
It has one pair of opposite congruent angles.
One diagonal is bisected.
The top and bottom angles are bisected but
As we know from the kite properties it has one pair of opposite congruent angles
From the properties of the quadrilateral the sum of the interior angles is 360 degrees
44 + angle 1 + angle 2 + 80 = 360
Angle 1 = angle 2 = x(say)
44 + x + x + 80 = 360
2x + 124 = 360
2x = 236
x = 118 degrees
Angle 1 = angle 2 = 118 degrees
Thus, the measure of angle 1 is 118 degrees and the measure of angle 2 is 118 degrees or m∠1 = 118° and m∠2 = 118°.
Learn more about the quadrilateral here:
brainly.com/question/6321910
#SPJ5
answer the question
(v^3)(w^-3) / (-v^-6)(w^3)
(-v^9)(w^-3) / (w^3)
(-v^9)(w^-6)
ANSWER: Option 4
Hope this helps!
Write the equation of the graph shown below in factored form?
Answer:
1st option
Step-by-step explanation:
If x = a is a zero of f(x) then (x - a) is a factor of f(x)
Here the zeros ( where the graph crosses the x- axis ) are
x = - 2, x = 1, x = 3 , then the corresponding factors are
(x - (- 2) ), (x - 1), (x - 3) , that is (x + 2), (x - 1), (x - 3)
f(x) is then the product of the factors , that is
f(x) = (x + 2)(x - 1)(x - 3)
What do you know about the slope when X2 - X1 = 0 ?
A. The slope is undefined.
B. The slope is zero.
C. The slope is positive.
D. The slope is negative.
Answer:
B
Step-by-step explanation:
The slope is zero is the answer
Jan is the regional manager of Graphic DesignWorks. She uses a company
cell phone that costs $125 each month. She manages 5 branches of Graphic
DesignWorks equally. How much of her annual cell phone bill will each branch
pay for?
A. $125
B. $300
C. $150
D. $500
Answer:
300
Step-by-step explanation:
If each branch pays the bill equally, and the bill accounts for a year's worth of pay, then you should multiply 125*12~giving you 1500
Then you divide 1500/5, since the 5 company's pay equally... this is equal to 300 dollars.
Answer:
B. $300
Step-by-step explanation:
annual : yearly
$125 per month for 12 months
125(12) = 1500
$1500 equally split among 5 branches
1500/5 = 300
Each of the 5 branches contributes $300 each per year to Jan's cell phone bill.
How long would it take a garden snail at his top speed of 0.01 m/s to travel 1 mile? Use 1 mile = 1609 meters. Round to the nearest whole hour.
Answer:
45 hours
Step-by-step explanation:
1 mile * 1609 meters * 1 s = 160900 sec
1 mile .01 meters
160900 sec / 60 /60 = 44.7 = 45 hours
Step-by-step explanation:
This is a cute question lol.
So this lil snail is trying to go 1609 meters, at a speed of 0.01 m/s (meters per second). Lets see how long that takes.
The way I like to do conversion problems is by starting with the value that doesn't have something on the bottom (1609 m) then multiplying to get rid of that variable.
I'll show you what I mean:
[tex]\frac{1609 m}{1} *\frac{1 s}{0.01 m} *\frac{1 min}{60s} *\frac{1 hr}{60 min}[/tex]
Then, we just multiply everything.
[tex]\frac{1609 *1*1}{1*0.01*60*60}hr[/tex]
Simplify.
[tex]\frac{1609}{36}hr[/tex]
Divide.
[tex]44.694444444...hr[/tex]
Round to the nearest whole hour.
[tex]45 hr[/tex]
Answer:
45 hours
