Answer:
You can put this solution on YOUR website!
the inequality is 500 - 25x >= 200
this insures that he will have at least 200 at the end of the summer.
subtract 200 from both sides of that inequality and add 25x to both sides of that inequality to get 500 - 200 >= 25x
simplify to get 300 >= 25x
divide both sides of that equation by 25 to get 300 / 25 >= x
simplify to get 12 >= x
12 >= x means x <= 12.
when x is smaller than or equal to 12, he will be guaranteed to have at least 200 in the account at the end of the summer.
when x = 12, what is left in the account is 500 - 25 * 12 = 200.
when x = 11, what is left in the account is 500 - 25 * 11 = 225.
when x = 13, what is left in the account is 500 - 25 * 13 = 175.
the maximum number of weeks he can withdraw money from his account is 12.
Step-by-step explanation:
so if fingernails grow about 0.1 millimeters each day how much do nails grow in 30 days?
Answer:
3.47 mm
Step-by-step explanation:
Four tenths of a number increased by the second number equals 19. One tenth of the first number decreased by the second number is equal to 1. What are the two numbers?
Answer:
The two numbers are 40 and 3
Step-by-step explanation:
Assume that the first number is x and the second number is y
∵ Four tenths = [tex]\frac{4}{10}[/tex] = 0.4
∵ One tenth = [tex]\frac{1}{10}[/tex] = 0.1
∵ Four tenths of 1st number increased by the 2nd number equals 19
∵ The 1st number = x and the 2nd number = y
∴ 0.4x + y = 19 ⇒ (1)
∵ One tenth of the 1st number decreased by the 2nd number is equal to 1
∴ 0.1x - y = 1 ⇒ (2)
Now we have a system of equations to solve it
→ Add equations (1) and (2) to eliminate y
∵ (0.4x + 0.1x) + (y + -y) = (19 + 1)
∴ 0.5x + 0 = 20
∴ 0.5x = 20
→ Divide both sides by 0.5 to find x
∵ [tex]\frac{0.5x}{0.5}[/tex] = [tex]\frac{20}{0.5}[/tex]
∴ x = 40
→ Substitute the value of x in equation (1) or (2) to find y
∵ 0.4(40) + y = 19
∴ 16 + y = 19
→ Subtract 16 from both sides
∴ 16 - 16 + y = 19 - 16
∴ y = 3
∴ The two numbers are 40 and 3
Find the theoretical probability.
Simplify completely.
Answer:
[tex] \frac{1}{8} [/tex]
Answer:
The correct answer is 1/4!
Step-by-step explanation:
On Acellus
Have a great day!
A chorus teacher is arranging students on bleachers for a performance. The 1st row of the bleachers has 10 students, the 2nd row has 14 students, the 3rd row has 18
students, and the 4th row has 22 students.
Assuming the trend continues, how many students will be on the 6th row of the bleachers?
Assuming the trend continues, there will be 30 students on the 6th row of the bleachers.
According to the question,
We have the following details:
Number of students in 1st row = 10
Number of students in 2nd row = 14
Number of students in 3rd row = 18
Number of students in 4th row = 22
Now, if we carefully observe the arrangement made by the chorus teacher, we will observe that the arrangement has a pattern.
It is to be noted that with each row 4 students are increasing.
For example, in 2nd row the number of students is 14 (4 more than the previous row), in 3rd row the number of students is 18 (4 more than the previous row), etc.
Now, we have to find the number of students in 6th row. So, first we need to find the number of students in 5th row.
Number of students in 5th row = number of students in 4th row + 4
Number of students in 5th row = 22+4
Number of students in 5th row = 26
Now,
Number of students in 6th row = number of students in 5th row + 4
Number of students in 6th row = 26+4
Number of students in 6th row = 30
Hence, there are 30 students on the 6th row of the bleachers.
To know more about row here
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the compound interest formula a=p(1+r/n)^nt where p is the initial amount invested, r is the interest as a decimal, n is the number of times compound annually, the the number of years. Determine the value of the account if the initial investment is $8,000 compounded monthly at a rate of 6% after 10 years.
Answer:
Option (D)
Step-by-step explanation:
Formula to calculate the final amount after 't' years is,
A = [tex]P(1+\frac{r}{n})^{nt}[/tex]
Here P = Initial amount
r = rate of interest
n = number of times compounding done
t = duration of investment
For A = $8000
r = 0.06
t = 10 years
n = 12 (compounded monthly in a year)
Therefore, final amount = [tex]8000(1+\frac{0.06}{12})^{12\times 10}[/tex]
= [tex]8000(1+0.005)^{120}[/tex]
= [tex]8000(1.005)^{120}[/tex]
= 8000(1.8194)
= $14555.17
Therefore, Option (D) will be the answer.
Answer:
the answer is d
Step-by-step explanation:
$14,555.17
Jordan is using a number line to model the division expression Negative 24 divided by 12. What should be a step in his work?
Answer:
-24/12= -2
Step-by-step explanation:
Answer:
Its B
Step-by-step explanation:
If I'm wrong please tell me
A cardboard box has edges of length 5.5 in, 3.2in,and 7.25 in.what is the volume of the box?I will gave u Brainliest if u tell me the answer have a nice day
Answer:
The answer is 127.6
Step-by-step explanation:
To find the volume of something, you multiply.
So:5.5 times 3.2 times 7.25 is equal to 127.6
HOPE THIS HELPS YOU!!!! :)
Answer:
127.60 square inches
Step-by-step explanation:
Multiply the diameters all together to get your answers.
5.5 x 3.2 x 7.25
Multiply
5.5 x 3.2 = 17.6
Multiply some more
17.6 x 7.25 = 127.6
You can also just multiply like this:
5.5 x 3.2 x 7.25 = 127.6
Hope this helped :)
Please consider Brainliest :)
Someone help me with this please
Graph y = 5/3x - 9
Answer:
The answer is in the attached screenshot
the Y intercept is 9
the slop is 5/3
hope this helps.
Step-by-step explanation:
May I have brainliest please? :)
Answer:jdjej
Step-by-step explanation: so u can give him brainliest
Work out the value of the expression 2(a +5b) when a=4 and b=3
Answer:
38
Step-by-step explanation:
2(4+5(3))
2(4+15)
2(19)
38
Answer:
38
Step-by-step explanation:
2(4+5*3)
2(4+15)
2(19)
38
HELP ME NOW HURRY ASAP PLEASE
enter your answer as a number like this:42
A small pool is being drained. There are 1,320 gallons of water remaining in the pool after 2 minutes and 1, 040 gallons after 9
minutes. How long would it take for the pool to be completely drained? (1 point)
Answer: 35 minutes
Step-by-step explanation:
For us to solve the question, we have to calculate the amount of gallons of water that is drained every minute. This will be:
= (1320 - 1040) / (9 - 2)
= 280/7
= 40 gallons per minute
Since we are told that 1,320 gallons of water remain in the pool after 2 minutes. This means that the total water in the pool at the beginning was:
= 1320 gallons + (40 × 2)
= 1320 gallons + 80 gallons
= 1400 gallons
The time taken for the pool to be completely drained will be:
= Total water in pool / Gallons drained per minute
= 1400 / 40
= 35 minutes
Find the angle measure.
Angle E
Triangle ABC is an isosceles triangle. This means that base angles A and C are the same measure.
Triangle CDE is also isosceles. This means that angles C and D are the same measure.
The hatch marks shown in both triangles clearly indicate this fact of geometry.
So, if angle C is 40 degrees, C and D must be 70 degrees each because the sum of the angles in a triangle is 180 degrees.
Angle C = 70 degrees.
6) Which list shows how many equal-sized groups of 18 students Ms. Lee can make?
1, 2, 3, 4, or 6
7, 9, 14, 18, or 28
1, 2, 3, 6, 9, or 18
1, 2, 4, 7, 14, or 28
Answer:
1,2,3,6,9
Step-by-step explanation:
Got it right
Drag the tiles to the correct boxes to complete the pairs. Match each population trend to a contributing factor. government-sponsored family control programs agricultural economies medical advancements Industrial Revolution high birthrate arrowRight low death rate arrowRight increase in food supply arrowRight low birthrate arrowRight Reset Next
Answer:
Matching the population trend to a contributing factor:
Contributing Factors Population Trends
government-sponsored family control programs Low birth rate
agricultural economies increase in food supply
medical advancements low death rate
Industrial Revolution high birth rate
Step-by-step explanation:
a) Contributing factors are some negative or positive factors that influence or cause a single event or chain of events that result to the incident.
b) Defining population trends:
1) High birth rate: the industrial revolution triggered high birth rate, following increased food supply and medical advancements.
2) Low death rate: medical advancements brought about low death rate as better healthcare is provided to the sick.
3) Increase in food supply: large-scale agricultural economies ensured increasing food production and supply.
4) Low birth rate: when governments started sponsoring family control programs, the resulting effect was low birth rate.
Answer:
The first one is children and adolescents
the second one is adults
the third one is pregnancy
the last one is indivisuals with brittle bones
Step-by-step explanation:
hope this helps :D
There are 14 boys and 13 girls in a class. Write the ratio of boys
to girls.
Answer
The answer is 14:13
I’ll mark u as brainlist if u get this right!!
Answer:
A
Step-by-step explanation:
When X is less than -1, positive parabola.
A line passes through point (8, -2) and has a slope of -5/4
Write an equation in Ax+By= C form for this line.
Use integers for A, B, and C.
show work on how you got it
Answer:
4y+5x=32
Use slope intercept form, then change to Ax+By= C form.
x+y=12
-x=-y-10
HELP thanks
do you have a picture or problem sentance that goes with that
please help, i need to know this answer!!
Answer:
It is d
Step-by-step explanation:
The question is in the image! Please help if u can its due really soon
Answer:
88°
Step-by-step explanation:
m∠AOB = m∠DOE = 88°
In 56 years, Kevin will be 999 times as old as he is right now.
Answer:
55,944
Step-by-step explanation:
Answer:Wont that mean he would be dead? Or is he like a type of animal that lives for a very long time?
Step-by-step explanation:
ill give brainlyest to whoever gets this question right
Answer:
C
Step-by-step explanation:
430 feet above sea level
Answer:
C. 430 feet above sea level
Question 6 (1 point) Fossils are usually found in sedimentary rock. O True O False
Answer: true
Step-by-step explanation:
find the range value of x which satistfy inequality (x + 2)² > 2x + 7
Answer:
the range value of x which satisfy inequality [tex](x + 2)^2 > 2x + 7[/tex] is [tex]\mathbf{x>1 \ or \ x<-3}[/tex]
Step-by-step explanation:
We need to find the range value of x which satisfy inequality [tex](x + 2)^2 > 2x + 7[/tex]
Solving:
[tex](x + 2)^2 > 2x + 7[/tex]
Using formula: [tex](a+b)^2=a^2+2ab+b^2[/tex]
[tex]x^2+4x+4>2x+7\\x^2+4x+4-2x-7>0\\x^2+4x-2x+4-7>0\\x^2+2x-3>0[/tex]
Now factoring the term: [tex]x^2+2x-3>0[/tex]
Breaking the middle term: 2x= 3x-x
[tex]x^2+2x-3>0\\x^2+3x-x-3>0\\x(x+3)-1(x+3)>0\\(x-1)(x+3)>0\\x-1>0 \ or \ x+3>0\\x>1 \ or \ x<-3[/tex]
So, the range value of x which satisfy inequality [tex](x + 2)^2 > 2x + 7[/tex] is [tex]\mathbf{x>1 \ or \ x<-3}[/tex]
Help is it b???????????????
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Vertically opposite angles are equal
I need this last one I would give all my pints bcz I don’t understand it
the one dot by itself is 6,-5 and the line that is pink with two black dots are the slope-intercept of the equation y=3/4x-2 and theirs the answer copy and paste my image and quote to answer the question.
(3x2)(−2x4) = 3(−2)x2∙4 = 6x8
Could you please find out what's wrong and say what should be there instead? The problem is : (3x to the power of 2 ) (-2x to the power of 4) = 3(-2)x to the power of 2.4 = 6x to the power of 8
Answer:
The correct answer is -6x⁶
Step-by-step explanation:
Given that:
[tex]3x^2 ( - 2x^4 ) \\ \\ =3(-2)x^{2.4} \\ \\ = 6x^8[/tex]
From the second step above, using the law of indices the correct format should be
[tex]= (3\times -2)x^{2+4}[/tex]
So, the problem lies where we have 2.4, it is not supposed to be (2*4). It supposed to be 2+4 because the law of indices states that we multiply the index together and add their power.
Then the result of that yields
= -6x⁶
In the third step, they also omit the negative sign, when multiplying (3 * -2).
Thus, the correct answer is -6x⁶
What is an equation of the line that passes through the points (3,4) and (−4,−3)? Put your answer in fully reduced form
Answer:
The equation of the line is y = x + 1
Step-by-step explanation:
The equation of the line is y = m x + b, where
m is the slope of the lineb is the y-interceptThe rule of the slope of the line is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where
(x1, y1) and (x2, y2) are two points on the line∵ The line passes through points (3, 4) and (-4, -3)
∴ x1 = 3 and y1 = 4
∴ x2 = -4 and y = -3
→ Substitute them in the rule of the slope above to find it
∵ m = [tex]\frac{-3-4}{-4-3}[/tex] = [tex]\frac{-7}{-7}[/tex] = 1
∴ m = 1
→ Substitute it in the form of the equation above
∴ y = 1(x) + b
∴ y = x + b
→ To find b substitute x by 3 and y by 4 in the equation
∵ 4 = 3 + b
→ Subtract 3 from both sides
∵ 4 - 3 = 3 - 3 + b
∴ 1 = b
→ Substitute it in the equation
∴ y = x + 1
∴ The equation of the line is y = x + 1
What is the equation of the line?
Answer:
I believe it should be the second answer