Answer:
D) 13/100 = 2500/X
Step-by-step explanation:
..........
James is trying to save money for college. When
he is 5 years old, his uncle puts $750 into a
savings account for him. The money should
increase by 5% each year until he needs it for
college.
Write an exponential model for this situation.
Answer:
[tex]y=(750)1.05^t[/tex], where [tex]t[/tex] is the time (in years) from investment
Or [tex]y=(750)1.05^{t-5}[/tex], where [tex]t[/tex] is the age of James
Step-by-step explanation:
exponential model: [tex]y=ab^t[/tex], where [tex]t[/tex] is the time (in years) from investment
when t = 0, y = 750
[tex]\implies 750=ab^0[/tex]
As [tex]b^0=1[/tex]
[tex]\implies 750=a[/tex]
Therefore, [tex]y=750b^t[/tex]
If the savings increase by 5% each year, then b = 105%.
105% = 105/100 = 1.05
Therefore, b = 1.05
So final model: [tex]y=(750)1.05^t[/tex], where [tex]t[/tex] is the time (in years) from investment
Or, we can write this as [tex]y=(750)1.05^{t-5}[/tex], where [tex]t[/tex] is the age of James
ayudaaaa y le regalo coronitaaaaaaaaaaaaa porfa
Step-by-step explanation:
4. 0.9
5. 0.4
6. 0.21
hope this helps you.
Step-by-step explanation:
This is the way to do this I hope it will help you!!
Maya wants to show 28 as tens and ones . What are all the ways ?
Answer:
2 tens and 8 ones
Step-by-step explanation:
2 tens =20 , 8 ones = 8 . 20+8=28
Hope this helped
Are any two line segments always similar or not always similar
Answer:
➢ Line segments are congruent if they have the same length. However, they need not be parallel. They can be at any angle or orientation on the plane. ... If you drag any of the four endpoints, the other segment will change length to remain congruent with the one you are changing.
[tex]Into \: your Arms[/tex]
#CarryOnLearning
Answer:
No, they are not
Step-by-step explanation:
Line segments are congruent if they have the same length. However, they need not be parallel. They can be at any angle or orientation on the plane.
If you drag any of the four endpoints, the other segment will change length to remain congruent with the one you are changing.
if you help me out and give the right answer i will give brainlyest
Answer:
mean= m7.8571428571429 Mode 1, 2
Step-by-step explanation:
The mean, or average, is calculated by adding up the scores and dividing the total by the number of scores. The mode of a data set is the number that occurs most frequently in the set. To easily find the mode, put the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode!
Stringed instruments like guitars and pianos create a note when a string vibrates back and forth. The distance that the middle of the string moves from the center is called the amplitude (a), and for a guitar, it starts at 0.75 mm when a note is first struck. Amplitude decays at a rate that depends on the individual instrument and the note, but a decay rate of about 25% per second is typical. Calculate the time it takes for an amplitude of 0.75 mm to reach 0.1 mm.
The amplitude will reach 0.1 mm in about 7 seconds.
The amplitude will reach 0.1 mm in about 7 seconds.
The amplitude will reach 0.1 mm in about 15 seconds.
The amplitude will reach 0.1 mm in about 15 seconds.
The amplitude will reach 0.1 mm in about 1.5 seconds.
The amplitude will reach 0.1 mm in about 1.5 seconds.
The amplitude will reach 0.1 mm in about 3 seconds.
The the product of the initial amplitude and the exponential decay rate
of raised to the power of the time taken give the amplitude of 0.1 mm.
Correct option:
The amplitude will reach 0.1 mm in about 7 secondsWhat is the exponential decay rate and how is it used?The given parameters are;
The initial amplitude = 0.75 mm
The decay rate, i = 25%
Required:
The time it takes the guitar to decay to 0.1 mm.
Solution:
The series of the sizes of the amplitude that has constant decay uses an
exponential decay formula.
When the amplitude is 0.1 mm, we have;
y = a·rⁿ
Where;
r = 1 - i
a = 0.75
n = The time taken
Which gives;
r = 1 - 0.25 = 0.75
y = 0.1 = 0.75 × 0.75ⁿ
[tex]\dfrac{0.1}{0.75} = \mathbf{0.75^{n}}[/tex]
[tex]n = \dfrac{ln\left( \dfrac{0.1}{0.75} \right)}{ln(0.75)} \approx \mathbf{7.0}[/tex]n = 7.0
The time it takes the amplitude to reach 0.1 mm is 7 seconds.Learn more about exponential growth and decay formula here:
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At a university 6 out of every 13 student live on campus if there are 156 students enroll how many lives on campus
Answer:
72
Step-by-step explanation:
156 ÷ 13 × 6 = 72
Hope this helps!
Good luck!
Answer:
156÷13=12(the number of 13s'in 156)
there are 12
12*6=72
seventy two students live on campus
A line passes through the points (3,5) and (4,9), What is its equation in slope-intercept
form?
Write your answer using integers, proper fractions, and improper fractions in simplest form
Answer:
y = 4x-7
Step-by-step explanation:
slope = difference of y-values / difference of x-values
= (9-5) / (4-3)
= 4/1
select a point to use in the slope-intercept form of a line: y = mx + b where 'm' is the slope and 'b' is the y-intercept
(3,5)
5 = 4(3) + b
5 = 12 + b
-7 = b
slope is 4 and y-intercept is -7
y = 4x-7
How long does a missed payment on a mortgage stay on a consumer’s credit report?
A 2 years C 7 years
B 10 years D 5 years
Answer: C) 7 years
There's not much explanation other than I did an online search for the answer. Many sources I'm finding are saying "up to 7 years", which means that is the longest it will stay on the credit report.
Hey guys back again ,
If you have any doubt in maths you can ask
I don't know how to do this
Answer: 2x+3 and -1
Step-by-step explanation:
a)
[tex]A=\pi r^2 = 4\pi x^2 + 12\pi x + 9\pi\\r^2 = 4x^2 + 12x + 9\\r^2 = (2x+3)^2\\r = 2x+3[/tex]
b) Radius has to be greater than 0, so 2x + 3 > 0
2x > -3
x > -1.5
So least possible integer value is -1
Jake eat 4 grapes he had less than 25 grapes to start with after eating 4 grapes how many grapes does James have left
one step inequality word problems
Answer:
x < 21
Step-by-step explanation:
Let x = the number of grapes James has left
x + 4 < 25
x < 21
A plane traveled 2565 miles with the wind in 4.5 hours and 2205 miles against the wind in the same amount of time. Find the speed of the plane in still air and the speed of the wind.
Answer:
plane: 530 mi/hwind: 40 mi/hStep-by-step explanation:
Let p and w represent the speeds of the plane and the wind. The relation between time, speed, and distance is ...
speed = distance/time
p +w = (2565 mi)/(4.5 h) = 570 mi/h
p -w = (2205 mi)/(4.5 h) = 490 mi/h
Adding these speeds, we get ...
(p +w) +(p -w) = (570) +(490) mi/h
2p = 1060 mi/h
p = 530 mi/h
Then the speed of the wind is ...
w = 570 mi/h -p = (570 -530) mi/h = 40 mi/h
The plane's speed is 530 mi/h; the wind speed is 40 mi/h.
45 5/6% as a fraction in its simplest form
Please hurry need in 5 minutes!!!!!?!?!?! Quickly and remember it's percent to fraction!
Answer:
[tex]\frac{11}{24}[/tex]
Step-by-step explanation:
To change into fraction divide it by 100
[tex]\frac{275}{6}/100[/tex]
[tex]\frac{275}{6}*\frac{1}{100}[/tex]
[tex]\frac{275}{600}[/tex]
[tex]\frac{275/25}{600/25}[/tex]
[tex]\frac{11}{24}[/tex]
[tex]45 \frac{5}{6}[/tex] ÷ [tex]100[/tex] [tex]=[/tex] [tex]\frac{11}{24}[/tex]
Hence, Answer = 11/24
[RevyBreeze]
Answer:
Step-by-step explanation:
First, you should turn this into an improper fraction. Forget the fact that it is a percent for the time being.
275 / 6
Now put this over 100 to get the fractional part
275 / 6 // 100/1
Invert and multiply the denominator
275 / 6 * 1 / 100 = 275 / 600 You need to reduce this. Start by dividing numerator and denominator by 25
275 / 25 // 600 / 25
11 / 24
Ani and her friends recorded their bowling shoe sizes. Which two bowling shoe sizes occurred most often? How many of Ani's bowling friends have size 6 1/2 shoes?
Answer:
5 and 5 1/2 appear the most option. None of Ani's friends have 6 1/2 shoes.
Step-by-step explanation:
5 and 5 1/2 have the most dots, which means the most friends have those shoes. There are no dots above 6 1/2, meaning no friends have that shoe size.
The solution is, 5 and 5 1/2 appear the most option. None of Ani's friends have 6 1/2 shoes.
What is data?Data is a collection of discrete values that convey information, describing quantity, quality, fact, statistics, other basic units of meaning, or simply sequences of symbols that may be further interpreted. A datum is an individual value in a collection of data .
here, we have,
from the given data, we get,
the given information, gives,
5 and 5 1/2 have the most dots, which means the most friends have those shoes.
There are no dots above 6 1/2, meaning no friends have that shoe size.
Hence, 5 and 5 1/2 appear the most option. None of Ani's friends have 6 1/2 shoes.
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word phrase that can be represented by m + 25.
Answer:
A number added by 25
In a problem it is: Ben has m dollars, his Mom gave him 25 dollars how much does Ben have now?
Hope this helps!
If 9x + 12 = 48 what is x-10?
Answer:
x - 10 = -6
Step-by-step explanation:
9x + 12 = 48
Subtract 12 from both sides.
9x + 12 = 48
- 12 - 12
+ 12 and - 12 cancel out. 48 - 12 is 36.
9x = 36
Divide 9 from both sides.
9x = 36
÷ 9 ÷ 9
9 ÷ 9 cancels out. x is left. 36 ÷ 9 is 4.
x = 4
Knowing x = 4, solve the equation.
x - 10 = ?
Plug in 4.
4 - 10 = -6
4 - 10 equals -6. This is your answer.
Hope this helped!
Answer:
i)
9x + 12 = 48
or,9x=48-12
or,9x=36
or,x=36/9
or,x=4
Thus,the value of x is 4.
ii)
x-10
=4-10(Putting x as 4)
=-6
when the sample size n is large, the standard deviation of x-bar is approximately the same as the standard deviation from which the sample is taken. True or False?
Answer:
False
Step-by-step explanation:
By the Central Limit Theorem, as the sample size [tex]n[/tex] gets larger, the smaller the standard deviation [tex]\sigma[/tex] of the sampling distribution gets.
Solve the equation, 3x – 6 = 12, for x. Which of the following properties did you apply? Question 20 options: A) Distributive property, subtraction property of equality, and multiplication property of equality B) Distributive property, addition property of equality, and division property of equality C) Addition property of equality and division property of equality D) Addition property of equality and multiplication property of equality
Answer:
C) Addition property of equality and division property of equality
Step-by-step explanation:
To find the answer, let's first solve the equation for x...
3x-6=12
Add 6 to both sides (Addition property of equality)
3x=6
Divide both sides by 3 (Division property of equality)
x=2
We used both the addition property of equality and the division property of equality therefore the answer is C
What is the area of this triangle?
1375 ft
120 ft
55 ft
• 1500 12
25 ft
3300
4500
75 ft
1 2 3
5
Answer:
1500 ft²
Step-by-step explanation:
The area of the triangle is given by the formula ...
A = 1/2bh
For a base of 120 ft and a height of 25 ft, the area is ...
A = 1/2(120 ft)(25 ft) = 1500 ft²
_____
Additional comment
As you can see from the attachment, the area from side lengths is different. The actual height is not 25 ft, but is closer to 24.65 ft.
Answer:
1500 ft
Step-by-step explanation:
I need help with math please
Okay, so the function is to do x times 2, then subtract 4.
6 x 2 = 12, 12 - 4 = 8. The first one is 8.
2 x 2 = 4. 4 - 4 = 0.
-4 x 2 = -8. -8 - 4 = -12. The last is -12.
With this information we can tell that it is C, 8, 0, -12.
Question 3 of 10
Find the sum: (x2 + 2x + 3) + (3x2 + x + 1)
+
i need help
Answer:
Combine like terms
x^2 + 2x + 3 + 3x^2 + x + 1
4x^2 + 3x + 4
can I have help pls
Nathan is making blueberry and pineapple kebabs. Each kebab needs the same number of blueberries, b, and the same number of pineapple pieces, p.
a. Nathan wants to check if he has enough of each type of fruit to make 12 kebabs. How can the expression 12b + 12p help him do that?
b. Nathan's friend Linda offers to help him make some of the kebabs. Nathan wants to set aside enough fruit for her to make 3 of the kebabs. How can you rewrite 12b + 12p so that it shows the fruit for Nathan's kebabs and the fruit for Linda's kebabs separately?
Nathan needs 12b + 12p fruits while Linda needs 3b + 3p fruits
Equation
An equation is an expression used to show the relationship between two or more numbers and variables.
Given each kebab needs the same number of blueberries, b, and the same number of pineapple pieces, p.
a) For 12 kebabs:
Number of fruit = 12(b + p) = 12b + 12p
b) For Linda 3 kebab:
Number of fruit = 3(b + p) = 3b + 3p
Nathan needs 12b + 12p fruits while Linda needs 3b + 3p fruits
Find out more on Equation at: https://brainly.com/question/18831322
What would be the area of a triangle with a base of 5 cm and a height of 8 cm?
Answer:
20
Step-by-step explanation:
the area of a triangle is 1/2 base times hight (a=1/2bh)
Answer:
20 cm squared
Step-by-step explanation:
The formula is Area equals (base times height) divided by 2, so (5*8)/2=20
IL GIVE BRAINELST
Indigenous peoples ate only the meat from buffaloes and threw the carcass away.
True False
Answer:
false
Step-by-step explanation:
Answer:
False is the one you would choose.
Step-by-step explanation:
One factor in the expression 5(n + 4) is 5. What is the second factor?
Answer:
n+4
Step-by-step explanation:
A factor is what makes up a multiplication sentence. It is a number that is multiplied with another number that gives us the product, the answer to a multiplication sentence.
Help me please I beg
A coin is tossed 3 times and the outcome of heads or tails recorded for each toss. This is repeated until there have been 3 coin tosses 25 times. This list shows the results.
HTT, HHH, HTH, THT, THH,THT, THH, THT, HHT, TTH,HHH, TTT, HHT, THH, HTT,HHH, THT, HTT, HHT, HTH,THH, HTT, THH, TTH, HTT
According to this data, what is the experimental probability of getting exactly 2 heads out of 3 coin tosses?
Select from the drop-down menu to correctly complete the statement.
The experimental probability of getting exactly 2 heads is
Choose...
34
40
46
52
Answer:
B. 40%Step-by-step explanation:
We can count two heads out of 3 coin tosses, this is 10 out of 25:
P(HH) = 10/25 = 40/100 = 40%The experimental probability of getting exactly 2 heads out of 3 coin tosses is 40% option second is correct.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
The total outcome set
T = {HTT, HHH, HTH, THT, THH, THT, THH, THT, HHT, TTH, HHH, TTT, HHT, THH, HTT, HHH, THT, HTT, HHT, HTH, THH, HTT, THH, TTH, HTT}
n(T) = 25
Total favourable outcome n(E) = 10
The probability = 10/25 = 0.4
= 0.4×100 = 40%
Thus, the experimental probability of getting exactly 2 heads out of 3 coin tosses is 40% option second is correct.
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The triangles are similar.
What is the value of x?
Enter your answer in the box.
x =
Answer:
x = 21
Step-by-step explanation:
Using ratios:
75 : 25 = x : 7
75/25 = x/7
3 = x/7
21 = x
Using Pythagoras' Theorem a² + b² = c², where a and b are the legs and c is the hypotenuse of a right triangle:
[tex]72^2+x^2=75^2[/tex]
[tex]\implies x^2=75^2-72^2[/tex]
[tex]\implies x=\sqrt{75^2-72^2}[/tex]
[tex]\implies x=21[/tex]