Answer:
16.66 years
Step-by-step explanation:
100(the percentage that it needs to increase) divided by 6 (the percentage of intrest) You could do 1.0/0.06 but i find it eaiser to do it this way
It will take 33.33 years to double his money.
We have roger who inherited $5000 from his father who invested the money in an account bearing 6% annual interest.
We have to find out how long it would take for this inheritance to double in value.
What is the formula to calculate the Simple Interest on the given amount of principal money ?The formula to calculate the Simple Interest on a given amount of principal money (x) at the rate of (r%) for a given amount of time (t) is -
[tex]SI =\frac{x \times r \times t}{100}[/tex]
In the question given : Simple Interest = 2 x Principal = 2[tex]x[/tex]
Hence, the equation becomes -
[tex]2x =\frac{x\times r\times t}{100} \\\\t = \frac{200}{r} \\\\t = \frac{200}{6} \\[/tex]
t = 33.33 years
Hence, it will take 33.33 years to double his money.
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simplify
15x-3/ 5x² - 11x +2 + x-5/2x² - 11x +5
Answer:
The answer is [tex]-\frac{31x^2}{10}[/tex]- 6x+7
Hope this helps!
Is my answer correct. If not, what is the answer ? Thank you
Answer:
P = 3
Q = -4
R = 22
Step-by-step explanation:
Expand both sides and compare coefficients.
5Px^2 -PQx +10x -2Q = 15x^2 + Rx +8
Compare coefficients of x^2
5P = 15 => P = 3
Compare constant terms
-2Q = 8
Q = -4
Compare coefficients of x
-PQ + 10 = R
-(3)(-4) + 10 = R
R = 10 + 12 =22
Find Missing Side
Instructions: Find the missing side. Round your answer to the nearest tenth.
help plz
Answer:
8.5 units
Step-by-step explanation:
x is the adjacent side, the side that's 19 units is the opposite side.
Given the adj and the opp sides, use tangent.
tanθ= opp/adj
tan 66°= 19/ x
x(tan66°)= 19
x= 19/(tan 66°)
x= 8.5 units (nearest tenth)
A normal distribution has a mean of 60 and a standard deviation of 2. Determine the z-
score for the data value of 22.
Answer: z score is -19
Work Shown:
x = 22 is the raw score
mu = 60 is the mean
sigma = 2 is the standard deviation
z = (x-mu)/sigma = formula to find z scores
z = (22 - 60)/2
z = -38/2
z = -19
The z score of -19 means we are 19 standard deviations below the mean. Anything beyond 3 standard deviations is often considered unusual/rare as most of the data in the normal distribution is within 3 standard deviations (approximately 99.7% of the distribution)
A class rolled number cubes. Their results are shown in the table. What is the experimental probability of rolling the number 4?
Answer:16.8 ur welcs
Step-by-step explanation:
heeeeeeeeeeeeeeeeelp
Answer:
A no-doest pass the vertical line test
Step-by-step explanation:
the vertical line test is a test saying any line is functional if when several vertical lines are drawn, the function does not pass through any line more than once
hope this helps:)!
Which equation is equal to 2^4x = 8^x-3? Edge2020
Answer:
C) 2^4x=2^3x-3
Step-by-step explanation:
2^4x=2^3x-3
(2³=8)
Answer:
I think the answer is the 3rd one, but i'm not sure.
Step-by-step explanation:
The state fair is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 13 vans and 9 buses with 569 students. High School B rented and filled 14 vans and 3 buses with 325 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.
The number of students that fit in each van is _ and the number of students that fit in each bus is _
The state fair is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 13 vans and 9 buses with 569 students. High School B rented and filled 14 vans and 3 buses with 325 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.
Answer:
The number of students in each van = 14
The number of students in each bus = 43
Step-by-step explanation:
Let the number of students that can fill a van be v.
Let the number of students that can fill a bus be b.
The senior class at High School A rented and filled 13 vans and 9 buses with 569 students.
13 vans will have (13v) students
9 buses will have (9b) students
13v + 9b = 569
High School B rented and filled 14 vans and 3 buses with 325 students
14 vans will have (14v) students.
3 buses will have (3b) students.
14v + 3b = 325
Combining these two simultaneous equations
13v + 9b = 569
14v + 3b = 325
Solving simultaneously,
v = 14 students.
b = 43 students.
Hope this Helps!!!
It is estimated that there are deaths for every 10 million people who use airplanes. A company that sells flight insurance provides $100,000 in case of death in a plane crash. A policy can be purchased for $1. Calculate the expected value and thereby determine how much the insurance company can make over the long run for each policy that it sells.
Answer:
answer is a
Step-by-step explanation:
i took the exam
a 5 ounce bottle of hair conditioner is priced at $2.55. what is the price per ounce
Answer:
¢51
Step-by-step explanation:
The price of once ounce of hair conditioner is 2.55 divided by 5 which is equal to 0.51. Convert that into cents and you get: ¢51.
10 POINTS NEED AN ANSWER ASAP PLS SIMPLIFY.
1. 2X + 8X – 10 + 6
2. 3(X+7)
3. (X + 2) (X - 3)
Answer:
1. 2 ( 5x - 2 )2. 3x + 213. x² - x - 6Step-by-step explanation:
1.
[tex]2x + 8x - 10 + 6[/tex]
Collect like terms
[tex] = 10x - 10 + 6[/tex]
Calculate the sum
[tex] = 10x - 4[/tex]
Factor out 2 from the expression
[tex] = 2(5x - 2)[/tex]
2.
[tex]3(x + 7)[/tex]
Multiply each term in the parentheses by 3
[tex] = 3x + 3 \times 7[/tex]
Multiply the numbers
[tex] = 3x + 21[/tex]
3.
[tex](x + 2)(x - 3)[/tex]
Multiply each term in the first parentheses by each term in the second parentheses ( FOIL )
[tex] = x(x - 3) + 2(x - 3)[/tex]
Calculate the product
[tex] = {x}^{2} - 3x + 2x - 2 \times 3[/tex]
Multiply the numbers
[tex] = {x}^{2} - 3x + 2x - 6[/tex]
Collect like terms
[tex] = {x}^{2} - x - 6[/tex]
Hope this helps..
best regards!!
If the marginal product decreases, what will happen to the total product and average product?
Decrease; decrease
Decrease; increase
Increase; increase
Indeterminate; decrease
Indeterminate; indeterminate
Answer:
Decrease;Decrease
Step-by-step explanation:
Miss White wants to buy 5 value meals at Mel’s Diner.
What is the reasonable total for her purchase?
A. $25
B. $1,000
C. $100
D. $10
Need answer ASAP
Answer: A
Step-by-step explanation:
Divide each total by 5 to get 5, 200, 20, 2.50. $5 per value meal is the most fair price.
Hope it helps <3
If the total is 25$, then each value meal would equal 25/5 = 5$, which is reasonable. so option A is correct.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
A. If the total is 25$, then each value meal would equal 25/5 = 5$, which is reasonable.
B. If the total is $1000, then each meal would equal 1000/5 = $200, which is not reasonable
C. If the total is $100, then each meal would equal 100/5 = $20, which is not a reasonable price for a value meal
D. If the total is $10, then each meal would equal 10/5 = $2 which is not a reasonable price for a value meal.
Hence, If the total is 25$, then each value meal would equal 25/5 = 5$, which is reasonable. so option A is correct.
Learn more about the unitary method;
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PLEASE HELP!! is it
A) 4 cm
B) 64 cm
C) 25cm
D) 160 cm
Answer: The Awnser to this equation is C, AE is equal to 25
Answer:
C. 25cm
Step-by-step explanation:
So D and B are too long even longer than AD so that brings us to A or C.
A is too small.
Thus, by logic and reasoning C. 25cm is the correct answer.
Use DeMoivre's Theorem to find the following. Write your answer in
standard form.
(3 - 3i)^3
Simplify and write answer in standard form, a + bi
Answer: -54-54i
15 POINTS!!!!!!!!!!
Given f(x) and g(x) = f(x) + k, use the graph to determine the value of k. "Graph of f of x and g of x. f of x equals 1 over 3 x minus 3 and g of x equals 1 over 3 x plus 1. "
a.) 2
b.) 3
c.) 4
d.) 5
Answer: B.
k=3
Step-by-step explanation:
g(x) is 3 units higher than f(x)
so k must be equal to 3
Answer:
it is b i think
k=3
Step-by-step explanation:
HALPPPPPPPPP The center of a circle has coordinates (6, – 5). The circle is reflected about the line y=x. What are the coordinates of the center of the image circle? ~~~~~~~~~~~~~~~~~~~~~~~~~ (A)(6, −5)~~~(B)(−5, 6)~~~(C)(5, −6)~~~(D) (1, 0)~~~(E) (0, 1)
Answer:
B: (-5, 6)
Explanation:
If this is being reflected over the line y = x, then the formula to solve would be (b, a), so therefore the answer would be B.
Chad washes windows after school to make some extra money. He charges $5.50 to wash each window. If the customer provides the supplies, Chad deducts $3.25 from the total cost. One customer paid a total of $27.50 and did not provide supplies. Which equation could be used to find the number of windows, w , that Chad washed for this customer? A) 5.5 w + 3.25 = 27.5 B) 5.5 w - 3.25 = 27.5 C) 5.5 w = 27.5 D) 5.5 - 3.25 w = 27.5
Answer:
C. 5.5 = 27.5
Step-by-step explanation:
The customer did not provide any supplies which means that the number 3.25 should not even be apart of the answer choice because it is not being deducted.
5.50 multiplied by how many widows (w) are washed should equal 27.50
Therefore C. 5.5 = 27.5 is the answer
Answer:
C) 5.5 w = 27.5
Find the surface area of the cone represented by the net below.
31.4 in.2
43.96 in.2
394.38 in.2
56.52 in.2
Answer:
43.96 in^2
Step-by-step explanation:
The net shows the areas of the parts of the cone, so you simply need to add them up to get the total surface area.
31.4 in^2 +12.56 in^2 = 43.96 in^2
Answer:
43.96 in.2.
Step-by-step explanation:
The surface area of a cone is the triangular shape and its circular base.
In this case, the top of the cone is 31.4 inches squared in area, and the circular base is 12.56 inches squared.
So, the surface area of the cone is 31.4 + 12.56 = 43.96 inches squared.
Hope this helps!
The given equation has been solved in the table.
Step
1
Statement
11/22 - 7 = -7
15 / - 7+ 7 = -7+7
2.
3
4
2 / 2 = 2.0
5
= 0
in which step was the subtraction property of equality applied?
OA
step 2
B.
step 3
OC. step 4
D.
The subtraction property of equality was not applied to solve this equation.
Answer:
I'm not 100% sure but I think the answer is step 2
Step-by-step explanation:
its the only step involving addition/subtraction properties rather than multiplicative/ division properties
HOPE THIS HELPS!!! :)
PLEASE LET ME KNOW IF IM WRONG!!!
Step 2, is the subtraction property of equality, Option A is correct.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here, while reviewing the steps,
In step 2, there is an elimination of 7, by adding 7 on both side because both sides consist of -7,
When +7 add to both side, it becomes,
-7 + 7 rearranging gives, 7 - 7 = 0
Thus, Step 2, is the subtraction property of equality, Option A is correct.
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Find the zeros of y = x2 - 8x - 3 by completing the square.
O A. x=3+√7
B. X = +3
C. X = 4 + 119
O D. X= -4 + 119
Answer:
Assuming that you meant 4+√19 is C.
Step-by-step explanation:
[tex]x^2-8x-3=x^2-2(4)x-3=x^2-2(4)x+16-3-16\\(x-4)^2-19\\(x-4)^2-19=0\\(x+4)^2=19\\x+4=\sqrt{19} \\x=-4+-\sqrt{19}[/tex]
Please help me with geometry questions :((
Answer:
[tex]14.\:\:\overline{RT}=3.3\:ft[/tex]
Step-by-step explanation:
Using the definition of similar triangle, we have the equation for problem no. 14 as:
[tex]\frac{\overline{QT}}{\overline{RT}}=\frac{\overline{RT}}{\overline{TS}}\\\\\frac{5}{x}=\frac{x}{2.2}\\\\\Rightarrow x=3.3[/tex]
Best Regards!
A company makes toy plastic soccer balls each with a radius of 3 inches. How many square inches of plastic does the company need to make 5 toy soccer balls? Use 3.14 for Pi and round to the nearest tenth. Recall the formula S A = 4 pi r squared. 113.0 inches squared 188.4 inches squared 376.8 inches squared 565.2 inches squared
Answer:
9.42naturaleza cordero y otras cosas tontas bla bla respuesta
Step-by-step explanation:
Answer:
113.0
Step-by-step explanation:
if righ mark as brainliest
what is your yearly median income based on your current educational level
Answer:
Step-by-step explanation:
To answer this question properly one would need access to a table or graph of income versus current educational level, and that information would have to be collected in a study involving a focus group (as such data for all people would just not be available. In what context did you find this question?
In a newspaper, it was reported that the number of yearly robberies in Springfield in 2013 was 100, and then went up by 25% in 2014. How many robberies were there in Springfield in 2014?
Answer:
125
Step-by-step explanation:
So saying something went up by 25% means that it is essentially
X + .25X
So in this case X = 100 and .25X = 25
So 100 + 25 = 125
13. Imagine that you have exposed a 24-exposure roll of film that you purchased for $3.95. It costs
you $4.70 to get it developed with one print for each exposure.
A. What is the total cost of getting the prints made?
B. What is the cost per print?
C. If you used the recommended number of exposures to bracket your images, what is the
actual cost of each final print?
use De Morgan’s laws to write an equivalent statement.
It’s totally false to say that the student has special needs and doesn’t belong in this classroom.
Answer:
It's totally false to say that the student has special needs or it's totally false to say the student doesn't belong in the classroom.
Step-by-step explanation:
De Morgan's Laws
Not (A and B) is the same as Not A or Not B
Not (A or B) is the same as Not A and Not B
SO:
It's totally false to say that the student has special needs or it's totally false to say the student doesn't belong in the classroom.
Use substitution to determine if the solution is correct (PINK HIGHLIGHTED ONE!!!)
Answer:
It is not correct.
Step-by-step explanation:
If you plug 4 in for x, you get -2*4+5=13. This simplifies to: -8+5=13. This is an untrue statement since -8+5 is actually -3, not 13.
Hope this is helpful! :)
Answer:
undefined
Step-by-step explanation:
So with the following equation,
-2x + 5 = 13
we plug in 4 for x
-2(4) + 5 = 13
-2 * 4 = -8
-8 + 5 = 13
-8 + 5
-3 = 13
-3 is not 13 so it is undefined
Thus,
the answer is undefined.
Hope this helps :)
Find the equation of the line: parallel to 3x−y=11 through (−2, 0).
Answer:
I believe it is:
slope-intercept form: y=3x+6
standard form: -3x+y=6 or 3x-y=-6
point slope-form: y-0=3(x+2)
Step-by-step explanation:
First, I put 3x-y=11 into slope-intercept form:
Subtract 3x from both sides: 3x-3x-y=11-3x
That becomes -y=-3x+11
Divide both sides by -1: -y/-1=(-3x+11)/-1
That becomes y=3x-11\
Then, the definition of a parallel line is having the same slope but different y-intercepts, so I dropped the -11 as the y-intercept, and I rewrote the equation as y=3x+b, where b is the y-intercept.
Now, I have to find the y-intercept of the parallel line, so I plug the coordinates (-2,0) into the equation for x and y to solve for the y-intercept
Write the equation out with what you have so far: y=3x+b
Substitute the coordinates (-2,0) in for x and y: 0=3(-2)+b
That becomes 0=-6+b
Add 6 to both sides: 0+6=-6+6+b
That becomes 6=b, which means that 6 is your y-intercept.
Finally, you have gathered everything you need to write the parallel line in equation format.
The parallel line's equation is
in slope-intercept form: y=3x+6
in standard form: -3x+y=6 or 3x-y=-6
in point-slope form: y-0=3(x+2)
Given: XY - tangent to circles k1(P) and k2(O) OX=16, PY=6 and OP=26 Find: XY
Answer:
XY = 24 units
Step-by-step explanation:
First of all, we need to some construction here.
Let us draw a line parallel to XY from point P towards OX, which cuts OX at point Q.
Please refer to the attached figure.
Now, Let us consider triangle OQP which is a right angled triangle, with
Hypotenuse, OP = 26 units
Height, OQ = OX - PY = 16 - 6 = 10 units
Base, PQ = ?
We can use pythagorean theorem here to find the value of PQ.
According to pythagorean theorem:
[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow OP^{2} = PQ^{2} + OQ^{2}\\\Rightarrow 26^{2} = OQ^{2}+10^{2} \\\Rightarrow PQ^{2} = 26^{2}-10^{2} \\\Rightarrow PQ^{2} = 676-100 \\\Rightarrow PQ^{2} = 576\\\Rightarrow PQ= 24\ units[/tex]
Now, we can see that side PQ is equal to side XY.
[tex]\therefore[/tex] XY = 24 units is the answer.