To find the amount of the increase, calculate the difference in premiums per $1,000 between when Taylor Breen took out the policy at age 48 and when he will be 53 years old next year. The amount of the increase is $170.
Explanation:To find the amount of the increase, we need to calculate the difference in premiums per $1,000 between when Taylor Breen took out the policy at age 48 and when he will be 53 years old next year.
First, let's calculate the initial premium per $1,000 at age 48:
$100,000 / $1,000 = 100 (number of units)
$100,000 * $4.70 = $470,000 (initial premium)
Next, let's calculate the premium per $1,000 when Taylor Breen will be 53 years old:
$100,000 / $1,000 = 100 (number of units)
$100,000 * $6.40 = $640,000 (premium at age 53)
The amount of the increase is:
$640,000 - $470,000 = $170,000
Therefore, the amount of the increase is $170.
4. Point A has coordinates (8, -1) and Point
Bhas coordinates (-7,-4).
est
What is the slope of the line segment
with endpoints A and 8?
imes
c. - 1/3
A.
B.
5
1
D. - 3
Help with number 17 plz!
Answer:
740 meters of fence22,000 square metersStep-by-step explanation:
Two of the sides total 150 +220 = 370 meters. The other two sides are the same lengths, so the sum of lengths of the four sides is ...
2·370 m = 740 m . . . . . length of fence needed
__
The area of a parallelogram is the product of base and height.
A = bh = (220 m)(100 m) = 22,000 m^2 . . . . area the fence encloses
I need help. I don’t understand how to do this. I need to turn this assignment in a few minutes
Answer:
40
Step-by-step explanation:
If the dimensions are proportional, then you just need to multiply 5 by 8 to get what ? is equal to.
Answer:The Answer is 40
Step-by-step explanation:the bottom is 7 x 8 to get 56 the side length is 8x8 to get 64 and the other is 5 x8 to get 40.
Hope this helped ;D
please help me with this question its in the picture
Answer:
B
I guess
.......................
Convert the rectangular equation, 3x − y = 6 , to a polar equation that expresses r in terms of θ.
32% of what number is 16?
Answer:
50
Step-by-step explanation:
Unknown number = x
32% = 0.32
Write an equation
0.32(x) = 16
Simplify
0.32x = 16
Divide both sides of the equation by 0.32
x = 50
50
Hope this helps :)
Combine like terms to simplify the expression below. 14x - (2x + y)
NEED THIS ASAP & STEP BY STEP!!!!
Answer:
12x - y
Step-by-step explanation:
The numbers in the brackets are being multiplied by -1. For this you can just use the opposite signs for the things in brackets and remove the brackets. (AKA 14x - 2x - y)
Then you can ignore the y for now, and just deal with the x's first.
14x - 2x = 12x
Since there's only 1 y, you don't need to do anything with it other than put it back in the equation.
The finished equation is 12x - y
In the figure, angle ABC = 2x-65° and reflex angle AOC = 3x. Find x.
Answer:
x = 70
Step-by-step explanation:
The measure arc AC is twice as angle B
The center angle that sees arc is equal to the arc it sees
<B = 2x - 65 so the measure of arc AC is 4x - 130 since this is gonna complete 3x to 360°
4x - 130 + 3x = 360°
7x = 490
x = 70
The cricket ball has a diameter of 20 cm. Calculate the volume of the cricket ball
Answer: I believe the volume is 4188.79 cm^3.
Step-by-step explanation: The equation for the volume of a sphere is (4/3)(pi)(r^3) = (4/3)(pi)(1000) = 4188.79 cm^3.
12. The surface area of the soup can below is 51.84 in. If the
diameter of the can is 3 inches, find the height of the can.
Given: r=1.5
Given: 51.84=2pi(1.5)(h)+2pi(1.5squared)
Answer:
The height of the can is 4 inches.
Step-by-step explanation:
Cylinder:
It is a three dimension shape.The lateral surface area is = 2πrh, r= radius, h= height.The total surface area is= (2πrh+2πr²)=2πr(r+h)The volume is = πr²h.Given that, the surface area of the soup can is 51.84 in².
The diameter of the can is 3 inches.
Then, radius of the can [tex]=\frac{Radius}{2}[/tex]
[tex]=\frac32[/tex] inches
=1.5 inches
Total surface area of the cone is = 2πrh+2πr²
[tex]=2\pi (1.5)h+2\pi (1.5)^2[/tex] in².
[tex]=2\pi (1.5)(h+1.5)[/tex] in².
=3π(h+1.5) in².
So,
3π(h+1.5)=51.84
[tex]\Rightarrow (h+1.5)=\frac{51.84}{3\pi}[/tex]
[tex]\Rightarrow h=\frac{51.84}{3\pi}-1.5[/tex]
⇒h=5.5-1.5
⇒h=4 inches
The height of the can is 4 inches.
What is the value of x?
Please help
Answer:
x = 4
Step-by-step explanation:
Assuming these are similar triangles,we can use ratios to solve
3x+8 25
---------- = ------
4 5
Using cross products
5(3x+8) = 4*25
Distribute
15x +40 = 100
Subtract 40 from each side
15x+40-40 = 100-40
15x= 60
Divide each side by 15
15x/15 = 60/15
x =4
First, find the scale factor between both triangles.
25 / 5 = 5
15 / 3 = 5
Second, multiply to find the missing side length.
4 * 5 = 20
Third, solve for x.
3x + 8 = 20
3x + 8 - 8 = 20 - 8
3x = 12
3x/3 = 12/3
x = 4
Best of Luck!
Design your own fruit punch recipe for brunch! Your recipe must create
exactly 5 liters of punch and include at least three of the juices. Also be sure
to include how many containers of each juice you need. Show your work by
writing equations that show how you determined the capacity.
Answer:
Step-by-step explanation:
So, we know that 5000 milliliters = 5 liters right? So we have to add up the right juices in order to get 5000 milliliters.
Lemonade
4 containers.
Pineapple.
4 containers.
Grape juice.
6 containers.
Now we're gonna multiply them by their containers.
Lemonade.
250*4 = 1,000
Pineapple.
500*4 = 2,000
Grape juice.
250* 6 = 2,000
Now we add them up :)
1,000 milliliters + 2,000 milliliters + 2,000 milliliters = 5 liters.
Ps. I had this question on my test and got a good grade so ik what i'm doing.
The correct answer is: 800 milliliters + 800 milliliters + 2400 milliliters = 5000 milliliters.
By taking;
the volume of each juice container is 400 milliliters.
Since we know that 5000 milliliters = 5 liter
So we have to add up the right juices in order to get 5000 milliliters.
let the volume of each juice container is 400 milliliters.
Mango 2 containers=2×400=800 milliliters.
Pineapple 2 containers= 2×400=800 milliliters.
Orange juice 6 containers=6×400=2400 milliliters.
Now on adding them;
800 milliliters + 800 milliliters + 2400 milliliters = 5000 milliliters.
In equation form;
Let the volume of all containers are equal i.e 'x'
∴ 2×x+2×x+6×x=5000
Learn more about writing equations here: https://brainly.com/question/2972832
#SJP2
A rectangle has a height of 7 and a width of 2x^2 – 3.
Express the area of the entire rectangle.
Expression should be expanded.
2x^2 -3 7
Area -
Answer:
14x² - 21
Step-by-step explanation:
given for a rectangle,
height = 7
width = 2x² - 3
Area = height x width
= 7 (2x² - 3)
= (2x²) (7) - 3 (7)
= 14x² - 21
[tex] \frac{w}{7} = . 3[/tex]
Please help me answer this before 5pm. I need to know what w is.
Answer:
2.1
Step-by-step explanation:
w/7 = .3
Multiply each side by 7
w/7 *7 = .3*7
w = 2.1
Choose one type of power plant. Describe how electricity
is generated at this type of plant.
Answer:
Let's us talk about the Hydro Power Plant that generates electricity by energy possessed in a mass of flowing water by virtue of it height.
Step-by-step explanation:
The hydo power plant utilizes
an hydraulic turbine which converts the energy of flowing water into mechanical energy of it rotating shaft . A hydroelectric generator (alternator) converts this mechanical energy into electricity. The operation of this alternator is based on the principles of Electro magnetic induction, that when a coil of conductor is moved past a magnetic field, it causes electricity generation. So when high energy water impinges on the blade of a turbine the energy is transformed to rotational motion of the shaft which is connected to the the alternator
When the alternator turns, coils attached to it move past the magnetic field hence this causes electricity to flow and a voltage to develop at the generator output terminals."
Answer:
Sample Response: Power plants generate electricity by turning a turbine. The turbine spins a generator, which produces electricity. Fossil fuels are burned to heat water, producing steam that turns the turbine. Nuclear power plants use fission to produce the thermal energy needed to produce steam. Wind and falling water are also used to turn turbines, which spin generators that produce electricity.
Step-by-step explanation:
PLEASE HELP!!! WILL GIVE BRAINLIST!!
Answer: 10
This is the asnwer
Meredith solved a quadratic equation. Her work is shown below.
In which step did Meredith make an error?
2(x + 4)2 = 242
(x + 4)2 = 121 Step 1
2+4=11 Step 2
2= 7 Step 3
Answer:
Step 2
Step-by-step explanation:
Meredith made a fatal mistake or error in step 2;
Any quadratic problem will always have two solutions. Therefore since, we only have one solution here, it is wrong. The mistake was incurred in step 2;
From the given problem ;
Wrong right
2(x + 4)² = 242
(x + 4)² = 121 Step 1
x+4=11 Step 2 x + 4 = ± 11
x = 7 Step 3 x + 4 = 11 or x + 4 = -11
x = 11- 4 or x = -11 - 4
x = 7 or -15
Answer:
Step 2
Step-by-step explanation:
A circle has an area of 81 7 square inches. What is the circumference of the circle?
A. 4.5 inches
B. 2.25 inches
C. 18 inches
D. 9 inches
The graph of the function f is shown. If f(x) = 4 then x could equal
A:0
B:4
C:5
D: 7
Answer: 7
Step-by-step explanation:
The question pertains to finding the x value for a given output on a graph of a function. The x value corresponds to the point where the y value is 4 on the graph.
Explanation:The subject matter in this question pertains to the interpretation of a graphical representation of a function, specifically determining the input, or x value, for a given output, y value (f(x) = 4) in this case. Without the actual graph, it's impossible to definitively identify the correct x value. However, the process involves locating the point on the graph where the y-value is 4 and then identifying the corresponding x value.
For example, if the graph is a line that passes through the point (0,4), then x would equal 0. If the graph passes through the point (4,4), then x could equal 4. Similarly, if the line goes through (5,4) or (7,4), then x could equal 5 or 7 respectively.
Learn more about Graph interpretation here:https://brainly.com/question/11624428
#SPJ3
HELP! HELP! I PROMISE YOU'LL GET BRAINLIEST!!! HELP!! HELP!!
3. Solve the given inequality and graph the solution on a number line.
-X/2 + 3/2 < 5/2
EXplain your answer!
Answer:
What you want to do, the easier way for me at least is to go to Demos and get a graphing calculator. It is free and you don't need to log in. Take your equation and enter it into the calculator it will give you everything that you need to answer the question.
Step-by-step explanation:
You can use comments to ask me any questions.
Answer:
Hey I don't know if you ever still use brainly, but I saw you cha/ttin with vickygirl349 in like 2019. It was kinda crazy though. I used to talk to her and ANOTHER girl named vicky all the time. They were both kinda into be but my dad asked me to stop using brainly because of all the useless trama that would go on. Anyways, I realized you're the only tie to her haha. Alright, good day!
https://brainly.com/app/profile/14944994
^ ^ ^
Where I found you haha.
How do I solve this equation: 7x-4=3+8x
Answer:
x=-7
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
7x−4=3+8x
7x+−4=3+8x
7x−4=8x+3
Step 2: Subtract 8x from both sides.
7x−4−8x=8x+3−8x
−x−4=3
Step 3: Add 4 to both sides.
−x−4+4=3+4
−x=7
Step 4: Divide both sides by -1.
−x/−1=7/−1
x=−7
39) Ben builds a fence around a
rectangular garden. The perimeter of
the garden is 64 ft. The width is 12 ft
less than the length. Find the width
of the garden.
The width of the garden is 10 feet, if the perimeter of the garden is 64 feet and the width of the garden is 12 feet less than the length.
Step-by-step explanation:
The given is,
Shape of garden is rectangular
Perimeter of garden - 64 feet
Width of the garden is 12 feet less than the length.
Step: 1
Formula to calculate the perimeter of the rectangle,
[tex]P = 2(l+w)[/tex]........................(1)
Where, l - Length of rectangle
w - Width of rectangle
Step: 2
From the given data,
Let, x = Length of the garden
P = 64 feet
w = x - 12 feet
Equation (1) becomes,
64 = 2 ( x + (x - 12) )
[tex]\frac{64}{2}[/tex] = ( x + x - 12 )
32 = ( 2x - 12 )
32 + 12 = 2x
44 = 2x
[tex]x = \frac{44}{2}[/tex]
l = x = 22 feet
width, w = x - 12 = 22 - 12
w = 10 feet
Step: 3
Check for solution,
64 = 2 ( 12 + 22 )
= 2 (32)
64 = 64
Result:
The width of the garden is 10 feet, if the perimeter of the garden is 64 feet and the width of the garden is 12 feet less than the length.
PLEASE HELP ME Every day, Navya's teacher randomly picks a number from 1 to 100 to be the number of the day. The
number of the day can be repeated. There are 180 days in the school year. Predict how many days the
number of the day will be greater than 25.
The number of days in which a number chosen is greater than 25 is
Answer:
135 days
Step-by-step explanation:
There are 100 numbers
There are 75 numbers greater than 25 (26-100)
P(number greater than 25) =
= number of numbers greater than 100/ total outcomes
= 75/100
=3/4
There are 180 days, so multiply the number of days by the probability
3/4*180 =135
Answer:
135 of the random selections would be numbers greater than 25.
Step-by-step explanation:
Since 25 is 25% of 100, that means that 75% of the random selections would be over 25.
75% = 0.75
180*0.75 = 135
135 of the random selections would be numbers greater than 25.
who can help me with The Sum of The Angles in a Triangle
Answer:
Suppose that you had a right angle triangle. Note that if you take it and another copy of it (moved around a bit) the two triangles together can be placed to make a rectangle.
This rectangle has four 90 degree angles adding up to 360 degrees. Since the triangles are congruent each triangle has half as many degrees, namely 180. So this is true for any right triangle.
Suppose you triangle is not a right triangle. Draw a perpendicular from the vertex opposite the longest side, to the longest side. What you have now is two right triangles which, by the above contain 360 degrees in total. But if you look at the two right angles that add up to 180 degrees so the other angles, the angles of the original triangle, add up to 360 - 180 = 180 degrees.
Step-by-step explanation:
Answer:
The sum must be 180° for the angles to be a triangle.
The Triangle Sum Theorem states that every angle in a triangle must equal 180° in total.
m∠A +m∠B +m ∠C = 180°
The equation above can help you solve for an angle in a triangle if two measurements of the angle are given.
a cone has a height of 30in. and a diameter of 20in. What is the approximate volume of the cone?
Answer:
The volume of the cone is equal to 1000π in³ in terms of π or is approximately equal to 3140 in³
Step-by-step explanation:
To find the volume of a cone with a height of 30 in. and diameter of 20 in., we will follow the steps below;
First write down the formula for finding the volume of a cone
V = πr²[tex]\frac{h}{3}[/tex]
where v is the volume of the cone, r is the radius of the cone and h is the height of the cone.
From the question given, the height h of the cone is 30 in and the diameter is given to be 20 in. but radius is half of diameter, this implies that r=d/2=20/2=10 in., that is radius r = 10 in
We can proceed to inert the values into the formula
V = πr²[tex]\frac{h}{3}[/tex]
=π×10²×[tex]\frac{30}{3}[/tex]
=π×100×10
=1000π
v =1000π in³ in terms of π
substituting π = 3.14
v ≈1000(3.14)
v≈3140 in³
Therefore the volume of the cone is equal to 1000π in³ in terms of π or is approximately equal to 3140 in³
The approximate volume of the cone is [tex]\(\frac{10000\pi}{3}\)[/tex] cubic inches.
To find the volume of a cone, the formula used is:
[tex]\[ V = \frac{1}{3} \pi r^2 h \][/tex]
Given that the diameter of the cone is 20 inches, we can find the radius by dividing the diameter by 2:
[tex]\[ r = \frac{diameter}{2} = \frac{20 \text{ in}}{2} = 10 \text{ in} \][/tex]
Now we can substitute the values of r and h into the volume formula:
[tex]\[ V = \frac{1}{3} \pi (10 \text{ in})^2 (30 \text{ in}) \][/tex]
[tex]\[ V = \frac{1}{3} \pi (100 \text{ in}^2) (30 \text{ in}) \][/tex]
[tex]\[ V = \frac{3000\pi}{3} \text{ in}^3 \][/tex]
The approximate volume of the cone is [tex]\(\frac{10000\pi}{3}\)[/tex] cubic inches.
what is the slope intercept form of 9x - y = 9
a) y= 9x
b) y= 9x-9
c) y= -9x + 9
d) y=9
Final answer:
The slope-intercept form of the equation 9x - y = 9 is y = 9x - 9, which shows a slope of 9 and a y-intercept of -9, corresponding to option b).
Explanation:
The slope-intercept form of the equation 9x - y = 9 can be found by solving for y. We want to rearrange the equation to get y by itself on one side, which allows us to see the slope and y-intercept more clearly. The standard slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.
To solve for y, we perform the following steps:
Add y to both sides of the equation: 9x - y + y = 9 + y, resulting in 9x = 9 + y.
Next, we subtract 9 from both sides to get y by itself: 9x - 9 = y.
The resulting equation is y = 9x - 9, which matches option b).
This shows the slope of the line is 9 and the y-intercept is -9. The values correspond to the terms in the slope-intercept form where the coefficient of x is the slope, and the constant term is the y-intercept.
Determine the vertex of the function f(x)=3x^2-6x+13
1. Identify the values of a and b
2. find the x coordinate of the vertex
3. Find the y coordinate by evaluating the function at the x-value found in the previous step
Answer:
Step-by-step explanation:
hello :
f(x)=3x^2-6x+13
1) a=3 and b= -6
2) the x coordinate of the vertex is : x= -b/2a so : x= -(-6)/6 = 1
3) the y coordinate by x= 1 is : f(1) = 3(1)²-6(1)+13 = 10
7z2 5z4 d3 d8
I don't know how you are supposed to do it?
Answer:
[tex]35 {z}^{6} {d}^{11} [/tex]
Step-by-step explanation:
Assuming you are supposed to simplify:
[tex]7 {z}^{2} \times 5 {z}^{4} \times {d}^{3} \times {d}^{8} [/tex]
Then we need to apply the product rule of indices.
[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]
So we multiply to get:
[tex]35 {z}^{2 + 4} \times {d}^{3 + 8} [/tex]
We now simplify the exponents to get:
[tex]35 {z}^{6} \times {d}^{11} [/tex]
Therefore the required product is
[tex]35 {z}^{6} {d}^{11} [/tex]
It took a sled dog team 8.5 hours to travel 161.5 Kilometers. What was the average speed of the sled dog team in Kilometers per hour?
Answer:
19
Step-by-step explanation:
because 161.5/8.5=19
This is because you divide the distance by the time
Which of the following statements are true? Select all
that apply.
If the equation were graphed, it would be a
horizontal line.
Both functions have the same slope.
The origin is the y-intercept for the function
expressed in the table.
The linear equation does not have a y-intercept.
The table and the graph express an equivalent
function.
Answer:
b,c,e
Step-by-step explanation:
Answer:
b.c,e
Step-by-step explanation: