10000 * 10000 is equivalent to 10,000,000
10² is 10 × 10, which equals 100.
10⁴ is 100 × 100, which equals 10,000.
Following this pattern,
we see that large numbers can be simplified using exponents:
The number 10,000 can be written as 10⁴ because:
10 × 10 × 10 × 10 = 10,000
Now, to calculate 10,000 × 10,000:
10,000 is 10⁴, so this is:
(10⁴) × (10⁴) = 10⁸.
So, 10000 * 10000 = 10⁸ = 100,000,000.
So, 10000*10000 is 100,000,000.
use the graph for all 3 question
1) Henry, a 41-year-old male, bought a $100,000, 10-year life insurance policy through his employer. Henry is paid biweekly. what is his annual life insurance premium?
A)$455
B)$578
C)$1033
D)$1368
2) Karen, a 52-year-old female, bought a $75,000, 20-year life insurance policy though her employer. Karen is paid weekly. How much is deducted from her paycheck for life insurance?
A)$10.86
B)$25.33
C)$35.12
D)$50.65
3) Nikos, a 39-year-old male, bought a $300,000, 20-year life insurance policy.
What is the total amount he will pay for 20 year of coverage?
A)$13,650
B)$27,300
C)$30,990
D)$61,980
Answer:
1: B) $578
2: B) $25.33
3: D) $61,980
Step-by-step explanation:
1) Henry's premium = ($100,000 / $1,000) x $5.78 = $578
2) Karen's total premium = ($75,000 / $1,000) x $17.56 = $1,317
if she is paid weekly, then the premium must be divided by 52 weeks = $1,317 / 52 weeks = $25.33 deducted per week
3) Nikos's premium per year = ($300,000 / $1,000) x $10.33 = $3,099
times 20 years = $3,099 x 20 = $61,980
Mickey’s beagle has a mass of 15 kilograms. His dachshund has a mass of 13 kilograms. What is the combination of both?
: Below are two expressions. Simplify each and then choose the statement that is true.
Expression #1
Expression #2
Expression 1: (3x2)3x^2
Expression 2: (3x^3)^2(x^2)
The exponents in Expression #1 are greater than the exponents of Expression #2.
The exponents on Expression #2 are greater than the exponents of Expression #1.
The exponents of Expression #1 are the same as the exponents of Expression #2.
The relationship cannot be determined with the given information.
The answer I got was A
Batteries of each type have lifetimes before recharge that can be assumed independent and Normally distributed. The mean and standard deviation of the lifetimes of the Duxcell batteries are 10 and 2 minutes respectively, the mean and standard deviation for the Infinitycell batteries are 14 and 3 minutes respectively.
Part a) What is the probability that a Duxcell battery will last longer than an Infinitycell battery?,
Answer:
0.1562
Step-by-step explanation:
Step 1
In this tep we define the normal distributions in this problem. . The lifetime of the Duracell battery is a normal random variable X with parameters (10,4). The lifetime of the Infinitycell battery is a normal random variable with parameters (14.9).
Step 2
Define the new normal distribution formed by the combination of these two distributions. We define a random variable Z such that
,[tex]Z=X-Y.[/tex]
This will be a random variable with mean of [tex]\mu_x-\mu_y=10-14=-4[/tex]. This random variable will have a variance of [tex]\mu_z^2 =\mu_x^2+\mu_y^2=2^2+3^2=13[/tex]. The mean for this distribution is [tex]\mu_z=\sqrt{13}[/tex] . The random variable Z is normally distributed with parameters (-4,13)
Step 3
The next step is to calculate the probability that [tex]Z=X-Y>0[/tex]. For that we perform the calculation shown below. Along the way , we will use the method of transforming any normal distribution to the standard normal distribution.This transformation is [tex]z=\frac{x-u}{\sigma}[/tex].
[tex]P(Z>0)=P(X-Y>0)=P(Z>0)\\P(Z>0)=1-P(Z<0)\\P(Z>0)=1-P(\tfrac{0-(-4)}{\sqrt{13}})=1-P(\tfrac{4}{\sqrt{13}})\\P(Z>0)=1-0.8438\\P(Z>0)=0.1562[/tex]
A regular hexagon has a perimeter of 120 m. Find its area. Leave your answer in simplest radical form.
Which object would be best measured in ounces?
A.
strawberry
B.
bed
C.
car
D.
horse
Round to the nearest hundredth 42.052
Trey wants to plant grass in his backyard. His backyard is in the shape of a rectangle. Its length is 31
feet and its width is 24
feet. Suppose each pack of seed covers 12
square feet. How many packs of seed will he need to cover the backyard?
To find out how many packs of seeds Trey needs, we need to first determine the area of his backyard which is 744 square feet. Each pack of seed cover 12 square feet. Therefore, dividing the total area by the area a pack of seed covers, we find that he needs 62 packs of seeds.
Explanation:The subject of this question is Mathematics. Specifically, it involves the concept of area and multiplication, commonly taught in middle school. Trey's backyard is in the shape of a rectangle, and we know that the area of a rectangle is calculated by multiplying its length by its width. In this case, the length is 31 feet and the width is 24 feet. Multiplying these numbers gives us a total area of 744 square feet.
Each pack of seed covers 12 square feet. So, to figure out how many packs Trey needs, we would divide the total area by the area each pack covers. Dividing 744 by 12 gives us 62, which means Trey will need to buy 62 packs of seeds.
Learn more about Area and Multiplication here:https://brainly.com/question/29156658
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60 PTS, Will Mark Brainliest
Listed in the Item Bank are key terms and expressions, each of which is associated with one of the columns. Some terms may display additional information when you click on them. Drag and drop each item into the correct column. The order does not matter.
There are 250 degrees in the sum of the interior angles of a polygon. Always, sometimes, never
Which is the most appropriate unit to measure the length of a slice of pizza?
Which unit would you use to measure the weight of a flea?
mg
g
ounces
kg
John has opened 8 gifts and 6 of them have been toys. What is the probability that the next Gift ?he opens will be a toy
The measure of an angle is 45°. what is the measure of a supplementary angle?
A solid has a circular base of radius 3. If every plane cross section perpendicular to the x-axis is an equilateral triangle, then its volume is:
A) 36
B) 12sqrt3
C)18sqrt3
D)24sqrt3
E)36sqrt3
The correct answer was E. Hoping someone could explain how that is.
Final answer:
The correct answer is E) 36sqrt(3), which is the volume of the described solid.
Explanation:
The student's question relates to finding the volume of a solid with unusual properties: it has a circular base and each plane cross-section perpendicular to the x-axis is an equilateral triangle. We will solve this problem using calculus, specifically by integrating the cross-sectional area along the x-axis.
The circular base of the solid defines the limits of integration, as it gives the diameter of the solid which, in turn, represents its height because the triangle is equilateral.
The radius given is 3, so the diameter (and hence the height of the solid) is 6.
The area of an equilateral triangle with side length s is (sqrt(3)/4) * s².
Since the side length of the triangles is equal to the diameter of the base, s is 6.
Therefore, the area of each cross-section is (sqrt(3)/4) * 6².
Now, to find the volume, we integrate the area of each cross-section along the height of the solid. Doing this gives us:
Volume = [tex]int_0^6 ((sqrt(3)/4) * 6^2) dx[/tex]Thus, the correct answer is E) 36sqrt(3), which is the volume of the described solid.
y=2x-7
3x-4y=8 can someone solve for x and y ? What method is used ? elimination or subtraction ?
Use the table to determine the location with the greatest amount of rainfall and the location with the least amount of rainfall.
a.Using complete sentences, identify the location with the greatest amount of rainfall and the location with the least amount of rainfall, and express the ratio of their respective rainfalls as a whole number.
b. Describe what this ratio tells you.
Needles, California 0.1173 m
Mt. Waialeale, Hawai'i 11.4 m
Puako, Hawai’i 25.6 cm
Death Valley, California 57 mm
Mojave, California 160 mm
Hilo, Hawai'i 480 cm,
The other person answered Part A, so I'll answer Part B (at least I'll try my best to)
"With every 200 millimeters of rain in Waialeale, there will be 1 millimeter of rain in Death Valley." <- This is what I put for B
Sorry I'm late and if I'm wrong, good luck to everyone who sees this
Wich fraction is equivalent to negative 7 over 8
What is the value of tan D?
The value of tan D would be as follows:
[tex]\frac{12}{5}[/tex]Find the value of TanGiven that,
A right-angled triangle EFD,
As we know,
Tan = Opposite sides' length/adjacent sides' length
So,
it is given that,
The length of the opposite side = 12
Adjacent Side's length = 5
∵ The value of Tan D [tex]= 12/5[/tex]
Thus, the above-mentioned answer is correct.
Learn more about "Trigonometry" here:
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Answer ASAP
Find the area for this shape
Part 1.] Does the graph have even symmetry, odd symmetry, or neither?
Part 2.] Does the graph of y = sin x have even symmetry, odd symmetry, or neither?
Part 3.] Identify the transformations that describe the graph of an even function. Select all that apply.
reflection over the x-axis; reflection over the y-axis; reflection over the line y=x; 90° rotation around the origin; 180° rotation around the originwhat’s the answer to
2(x+6) + 3x +4
Quadrilateral ABCD is inscribed in this circle.
What is the measure of angle C?
Enter your answer in the box.
For the quadrilateral ABCD and the inscribed circle, the measure of angle c will be 62⁰.
We already know that the opposite angles of an inscribed quadrilateral are supplementary in nature.
Therefore, In this problem
m<D+m<B=180⁰
m<C+m<A=180⁰
First, we have to find the value of x
m<D+m<B=180⁰
then substitute the values to solve for x, we get
(x+20)⁰ + (3x)⁰ = 180⁰
4x = 180⁰ - 20⁰
x = 160/4
x = 40⁰
second, to find the measure of angle A
m<A = (2x+38)⁰
put the value of x from first step,
angle A = 2(40)⁰+38⁰=118⁰
third, to find the measure of angle C
m<C+118⁰=180⁰
m<C = 180⁰-118⁰
angle C = 62⁰
To learn more about quadrilateral: https://brainly.com/question/29635320
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What is the locus of all points equidistant from lines X and Y in the figure?
Choose the equation of the vertical line passing through the point (-2, 3).
y = 3
x = 3
y = -2
x = -2
Question 10 (Multiple Choice Worth 5 points)
[4_05]Choose the equation of the horizontal line that passes through the point (-5, 1).
y = -5
x = 1
y = 1
x = -5,
A small software company has two customer service representatives.The supervisor of he customer service department determines that there is an 85% probabiiy that a customer sevice representative will e on the phone with a customer at any given time. what is the probability o both representatives being on the the phone at the same time?,
Answer:
The probability that both customer representatives are on the phone at the same time is 72.25%.
Step-by-step explanation:
Consider the provided information.
There is an 85% probability that a customer service representative will be on the phone with a customer at any given time.
There are 2 customer service representatives.
To find the probability that both customer representatives are on the phone at the same time, we multiply the independent probabilities together.
0.85×0.85=0.7225
Hence, the probability that both customer representatives are on the phone at the same time is 72.25%.
How do I solve #21???? Please don't just give me the answer.... tell me how u got it... thanks!
In the wrong hands, which of the following pieces of personal information would present the greatest risk for identity theft?
a.
address
b.
date of birth
c.
mother’s maiden name
d.
social security number
Answer:
D. social security number
Step-by-step explanation:
If a thief uses your your Social Security number for financial gain, you’re a victim of financial identity theft, criminal identity theft and also utility fraud.
Hope this will helpful.
Thank you.
Answer:
The correct option is D. social security number
Step-by-step explanation:
Address : Address cannot do much harm in the case of identity theft because other identity related information cannot be stolen by using the address.
So, this option is rejected.
Date of Birth : By using date of birth, no information about anyone's personal identity can be found. So this also cannot be related to identity theft.
So, this option is also rejected.
Mother's maiden name : This option is also not helpful in case of identity theft as this will not give any valuable information about someone's identity.
So, this option is also rejected.
Social security number : This number holds every personal information about a person so by using this complete identity of a person can be accessed and will present the greatest risk for identity theft.
Hence, The correct option is D. social security number
Maria wants to solve the following system using the elimination method:
4x + 9y = 59
x + y = 17
What number should the equation x + y = 17 be multiplied by to eliminate y?
4
−4
9
−9
Answer:
d
Step-by-step explanation:
i took the test
What is 2 ¾% in decimal form?