Answer:
Bill by $85
Step-by-step explanation:
Bill : Compound interest is calculated by multiplying the initial principal amount by one plus the annual interest rate raised to the number of compound periods minus one. The total initial amount of the money given is then subtracted from the resulting value.
Compounded annually for 6 years at 9 % interest Bill would have $8385.50.
Joe : Simple interest at 11% a year The formula we'll use for this is the simple interest formula.
P is the principal amount, $5000.00.
r is the interest rate, 11% per year, or in decimal form, 11/100=0.11.
t is the time involved, 6year(s) time periods.
So, t is 6year time periods.
To find the simple interest, we multiply 5000 × 11 × 6 = 3300
Usually now, the interest is added onto the principal to figure some new amount after 6 year(s),
or 5000.00 + 3300.00 = 8300.00
As you can see Bill has more by $85.
^Check yourself
Tasha assembled a picture frame that is advertised as rectangular. The completed frame is 14 inches long and 10 inches wide. She measured the diagonal length across the frame as 20 inches. Which best explains why the frame cannot actually be rectangular?
14 squared + 10 squared not-equals 20 squared
14 + 10 not-equals 20
(14 + 10) squared not-equals 20 squared
(14 squared + 10 squared) squared not-equals 20 squared
Answer:
a
Step-by-step explanation:
got it right
14 squared + 10 squared not-equals 20 squared. Therefore, option A is the correct answer.
What is the Pythagoras theorem?The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.
Given that, the completed frame is 14 inches long and 10 inches wide.
Tasha measured the diagonal length across the frame as 20 inches.
By using Pythagoras theorem, we have
20²=10²+14²
400=100+196
400≠296
Therefore, option A is the correct answer.
To learn more about the Pythagoras theorem visit:
brainly.com/question/21926466.
#SPJ3
Danny flies a drone in a circular path around an object that is 210 feet west and 220 feet south of his position. The drone's path takes it over a point that is 160 feet east and 160 feet south of him. Find an equation for the drone's path. (Assume Danny is located at the origin, with the horizontal axis running east-west and the vertical axis running north-south)
Answer:
The answer is below
Step-by-step explanation:
A circle is the locus of a points such that its distance from a fixed point is always constant.
Since the drone moves in a circular path, therefore the path of the drone forms a circle. The equation of a circle is given by:
(x - h)² + (y - k)² = r²; where (h, k) is the center of the circle and r is the radius of the circle.
Danny is located at the origin. Since the drone flies in a circular path around an object that is 210 feet west and 220 feet south of his position. Hence the center of the circular path is (-210, -220).
Also, the drone's path takes it over a point that is 160 feet east and 160 feet south of him i.e. (160, -160). Therefore the radius of the circle is the distance between point (-210, -220) and point (160, -160)
[tex]radius=\sqrt{(160-(-210))^2+(-160-(-220))^2}=\sqrt{140500}[/tex]
Using (x - h)² + (y - k)² = r²:
[x - (-210)]² + [y - (-220)]² = (√140500)²
(x + 210)² + (y + 220)² = 140500
x² + 420x + 44100 + y² + 440y + 48400 = 140500
x² + y² + 420x + 440y - 48000 = 0
. Three professors examined awareness of four widely disseminated retirement rules among employees at University of Utah. These rules provide simple answers to questions about retirement planning. At the time of the investigation, there were approximately 10,000 benefited employees, and 3,095 participated in the study. Demographic data collected on these 3,095 employees included gender, age (years), education level (years completed), marital status, household income ($), and employment category.(30pts)(a) Describe the population of interest.(b) Describe the sample that was collected.(c) Indicate whether each of the demographic variables mentioned is categorical or numerical.
Answer:
a) The population of interest = 10,000 benefited employees. It includes all benefited employees.
b) The sample collected = 3,095. These are the benefited employees who participated in the study.
c) Indication of demographic variables as categorical or numerical:
Demographic data: Categorical or Numerical
Gender = Categorical
Age (years) = Numerical
Education level = Numerical
(years completed)
Marital status = Categorical
Household income ($) = Numerical
Employment Category = Categorical
Step-by-step explanation:
a) Data and Calculations:
Population of interest = 10,000 benefited employees
Sample = 3,095 participants
Demographic data:
Gender
Age (years)
Education level (years completed)
Marital status
Household income ($)
Employment Category
b) A variable is numerical value (e.g. length, test scores, etc.). It is a continuous variable. A categorical variable assumes a limited or fixed number of possible values, or it is categorized in groups.
Part E Find half of the time that Devon skied without falling, and write inequalities to compare it with the times others in the family skied without falling.
Answer:
For Half of Devon's Time you would put 172 divide by 2 equals 186. For comparison:
kelvin 223>86
Lori 55<86
Vanessa 265>86
Celia 112>86
Arnold 356>86
Step-by-step explanation:
3x + 2x – x + 2x² + 4
Answer:
Step-by-step explanation:
Combine like terms, in this case there is only x
[tex]3x+2x-x+2x^2+4\\4x+2x^2+4\\2x^2+4x+4\\2(x^2+2x+2)[/tex]
what is 3333 x 45 x 3445 ill gave you a bainliest
Answer: 516698325
Step-by-step explanation:
Help please. 7th grade
pls this is due soon helopppp
Mrs. Diaz has 4 brownies left. She wants to share the brownies equally among her 5 children Which of the following shows the amount of brownies each child can receive?
Step-by-step explanation: I had that q and got it right
UwU
A line has a slope of 5 and includes the points (1,t) and (3,2). What is the value of t?
Hello!
[tex]\large\boxed{t = -8}[/tex]
We can find the value of t using the slope formula:
[tex]slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Plug in the given slope and coordinates into the appropriate places:
[tex]5 = \frac{2-t}{3-1}[/tex]
Simplify:
[tex]5 = \frac{2-t}{2}[/tex]
Multiply both sides by 2 to begin isolating for t. Simplify and solve for t:
[tex]5 * 2 = 2 - t\\\\10 = 2 - t\\\\8 = -t\\\\t = 8[/tex]
does 2m, 2m, 4m make a triangle?
Answer:
No,
Step-by-step explanation:
All you have to do is use the triangle inequality therorum. if two side lengths of a triangle is always greater than the third side. you will have a triangle.
Among all pairs of numbers whose sum is 6, find a pair whose product is as large as possible.
What is the maximum product?
Answer:
The pair of numbers is (3,3) while the maximum product is 9
Step-by-step explanation:
The pairs of numbers whose sum is 6 starting from zero is ;
0,6
1,5
2,4
3,3
Kindly note 2,4 is same as 4,2 , so there is no need for repetition
So the maximum product is 3 * 3 = 9 and the pair is 3,3
Step-by-step explanation:
hope this helps :)
What is the slope of this line?
Answer:
3 or [tex]\frac{3}{1}[/tex]
Step-by-step explanation:
rise over run, up 3 over 1.
hope this helps, good luck :)
rise over run
[tex]\frac{3}{1}[/tex] or 3
A cylinder with radius 7 centimeters and height 9 centimeters has its radius quadrupled. How many times greater is the volume of the larger cylinder than the smaller cylinder .
Answer:
16 times larger
Step-by-step explanation:
Can y’all help me on question six?!
Answer:
The answer is C (2:1)
Step-by-step explanation:
1. The greatest common factor of 8 and 4, is 4. We need to divide both numbers by the GCM, 4.
8 / 4 = 2
4 / 4 = 1
Therefore, the answer is 2:1 (C)
Type the slope-intercept equation of the line that passes through the points (6, 5) and (-6, -4)
Answer:
y=3/4x+1/2
Step-by-step explanation:
slope intercept form: y=mx+b
find the slope with y2-y1/x2-x1: (-4-5)/(-6-6)= 3/4
substitute one of the coordinates in the equation with the slope: 5=3/4(6)+b
solve to find b:
b=1/2
substitute in the equation:
y=3/4x+1/2
pls help me on this.......
Hey there!
Your answer is [tex]-4x+7[/tex]
Here are the steps to solve:
Given:
[tex]-5x-(x-7)[/tex]
Distribute negative sign:
[tex]-5x+x+7[/tex]
Add like terms:
[tex]-4x+7[/tex]
Have a great day! Hope it helped!
answer please! i need both answers for both of the questions! help is greatly appreciated!
45 POINTS TO WHO EVER CAN SOLVE THIS QUESTION
Answer:
Step-by-step explanation:
for 5 it is the blues
Answer:
D is the answer
Step-by-step explanation:
Which part of the water cycle is this image most similar to?
Help me please, Due Today.
Answer:
D,F and E,G are parallel
Step-by-step explanation:
slove with cool mind
Write an equation of the line that passes through (−4,−1) and is perpendicular to the line y=4/3x+6.
Answer:
y=-1/4x - 2
Step-by-step explanation:
gradient of perpendicular lines is got by :M1M2= -1
y =4/3x + 6 rearrange 3y = 4x + 18
gradient is 4
4M2 =-1
M2 =-1/4
then is -2
hence y = mx + c is y = -1/4 x -2
find the area of the shaded region under the
standard normal curve. If convenient, use technology to find the area
Answer
The area of the shaded region under the standard normal curve is 0.4834.
Step-by-step explanation:
A random variable X is said to have a normal distribution with mean, µ and variance σ².
Then , is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, Z N (0, 1).
The distribution of these z-variates is known as the standard normal distribution.
Compute the area under the curve between -2.13 and 0 as follows:
Thus, the area of the shaded region under the standard normal curve is 0.4834.
f(x) = x^2. What is g(x)?
help pls i'll give brainliest, are they inverses or not explain why or why not
To get home from school you walk through a park. The park is 400m long by 90 m wide. You walk from the southwest corner to the northeast corner. How far in meters is your walk through the park?
Answer:
410m
Step-by-step explanation: Use Pythagorean Theorem A^2+B^2=C^2 then find the root of C^2
A test has 20 questions. If Peter gets 80% correct, how many questions did Peter miss?
Answer:
4
Step-by-step explanation:
20 x 0.80
16 - 20
Answer:
4 questions
Step-by-step explanation:
4 wrong = 80%
What is 12/10 as a mixed number?
Answer:
1 1/5
Help me pls pls pls pls
Answer:
1. 300
2. x-axis
3. 150
Step-by-step explanation:
Solve: 8p = 24
A p = 192
B p = 16
p=3
D p = 32
Answer:
p=3
Step-by-step explanation:
Step-by-step explanation:
8p = 24
p=3
HOPE it helps you ..