Answer:
$108,000
$103,966.64
Step-by-step explanation:
Damarius contributes $300 each month, for 30 years. Therefore, to find the amount he contributed, we multiply those pieces together (12 months in each year).
300⋅12⋅30=$108,000
Therefore, over the 30 years, Damarius contributed $108,000.
If there was $211,966.64 in his account, and he contributed $108,000, then the rest is interest.
$211,966.64−$108,000=$103,966.64
There was $103,966.64 in interest earned on Damarius' account.
show your work and please hurry
−16 + x = −15
Answer:
x-1
Step-by-step explanation:
-16+1 16-15=1
To get -15 move 1 in the positive direction or backwards
or if this helps ignor the - and just subtract 16 from 15
Answer:
x = 1
Step-by-step explanation:
Add 16 to each side, so it now looks like this: x = 1I hope this helps!
The fraction 4/10 can be written as what
Answer:
In decimal form 0.4 or 4/10 or 2/5 (simplified). Also, in percentage form 40%.
Step-by-step explanation:
Solve for s in terms of t, u, v, and w. su=twv
Answer:
Hi there
Your answer is
s= (twv)/u
Step-by-step explanation:
su=twv
/u
s= (twv)/u
If you can answer this you get 20 points
Answer:
Rate of change for the second one (at the top) is 10
x- intercept is (-10,0)
y- intercept is (0,20)
Step-by-step explanation:
Answer:
in bold below
Step-by-step explanation:
Left Side
If we let the price be represented by p and the quantity by q, then a suitable equation is ...
p/30 +q/35 = 1 . . . . equation in intercept form
7p +6q = 210 . . . . . multiply by 210
p = -6/7q +30 . . . . solve for p
The slope is -6/7.
The "rate of change" is -6/7. (slope and "rate of change" mean the same)
The x-intercept is 35.
The number at the end is zero (35). (assuming "the end" is the right end of the graph)
The starting price is the y-intercept (30).
The rate of cost is the slope (-6/7).
__
Right Side
The cost starts at 20 and goes up 10 for each 5 games, so 2 per game. A suitable equation is ...
y = 2x + 20
The rate of change is 2.
The x-intercept is where y=0. It will be -20/2 = -10.
The y-intercept is 20.
_____
The graph has to do with games and cost, not minutes and feet. There is insufficient information to answer questions about minutes and feet.
_____
Comment on these questions
The notations "per billions" on the left graph cause it to make no sense whatever. The ideas of "starting" and "ending" are usually time- or sequence-related. The graph shows nothing to indicate time or sequence. The idea of "rate of cost" for TV's is nonsensical. (Cost is a rate: dollars per unit.)
If ΔABC = ΔDEF, angle m∠A = 50, and angle m∠E = 30, what is angle m∠C?
When you indicate triangle congruency, the order of the letters matter. As you see these statements, look at how the side length names correspond to how the letters are written in its order, ΔABC ≅ ΔDEF. (By the way, triangles aren't equal with an = sign. It's a ≅ congruency sign.)
AB is congruent or the same length as DE.
BC is congruent or the same length as EF.
AC is congruent or the same length as DF.
In the same way, all of the angles in the corresponding order are ALSO congruent. By the way, we say that angles are congruent and angle MEASURES (like 30 degrees) are equal.
m∠A = m∠D
m∠B = m∠E
m∠C = m∠F
In the same way, we can try to find m∠C, or measure C!
1. Let's find the missing angle!
So, we know that m∠A is 50 degrees and m∠E is 30 degrees. Since we know that m∠E = m∠B because of the order of the triangles, now we know two of the angles in triangle ABC.
m∠A = 50 degrees
m∠B = 30 degrees
m∠C = 180 degrees - (50 + 30) = 100 degrees
(We minus from 180 degrees because 180 degrees is the sum of the angles in a triangle!)
And that's it! If you have any questions, please feel free to ask questions. I'm not here to judge, and I'm only here to help. Again, ask questions if you need help. It's crucial that you know the basics of geometry!
whats the answer? to this
Answer:
x=2 y=5
Step-by-step explanation:
Identify the slope and y-intercept of the line on the graph. The write the equation of the line in slope-intercept form.
Answer:
7. m= 3 b= -4
Step-by-step explanation:
The line has a slope of 3/1 and a y-intercept of 0, -4. y=3x-4
In order to understand more about the home internet access of a university with 12768 students, three staff members set out to sample a number of students. Below are their plans for sampling the students. Plan 1: One staff member thought that internet access could be different based on the size of the town/city where the student lives, so she obtained a list of all students at the university, divided them into three groups, students living in small-, medium-, and large-sized towns. 10% of students lived in small towns, 40% lived in medium-sized towns, and 50% lived in large-sized towns, so she randomly selected 20 of the students from small towns, 80 from medium-sized towns, and 100 from large-sized towns. Plan 2: The other staff member decided that it would be most efficient to contact students through the online course management system. He randomly sampled 20 courses from the course catalog, and contacted all students in each of these 20 courses through the online course management system. (You may disregard the negligible probability that some student was enrolled in more than one of these 20 courses.) Plan 3: The last staff member had access to a list of students that lived in the dorms, and used a computer program to randomly select 250 students from this list. The staff members took care not attempt to influence student responses in any way. Which of these three plans will result in representative samples of the population of students, on aver
Answer: I-
ok
Step-by-step explanation:
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charlidamelio
Evaluate
5
9
÷
5
18
[tex]Evaluate59÷518[/tex]
write the recuring deciml 0.15 as a fractions simplest form
Which of the four is it?
Answer:
option 1 i believe
Step-by-step explanation:
just worked it out
i hope this is right and helps <3
2. A university dean is interested in determining the proportion of students who receive some sort of financial aid. Rather than examine the records for all students, the dean randomly selects 200 students and finds that 118 of them are receiving financial aid. If the dean wanted to estimate the proportion of all students receiving financial aid to within 3% with 99% reliability, how many students would need to be sampled?
Answer:
The number of students to be sampled is [tex]n = 1789 [/tex]
Step-by-step explanation:
From the question we are told that
The margin of error is E = 0.03
Generally the proportion of students that receive financial aid is mathematically represented as
[tex]\^ p = \frac{118 }{200}[/tex]
=> [tex]\^ p = 0.59[/tex]
From the question we are told the confidence level is 99% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 2.58 [/tex]
Generally the sample size is mathematically represented as
[tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) [/tex]
=> [tex]n = [\frac{2.58}{0.03} ]^2 * 0.59(1 - 0.59) [/tex]
=> [tex]n = 1789 [/tex]
Using the margin of error, it is found that 1033 students would need to be sampled.
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
The dean randomly selects 200 students and finds that 118 of them are receiving financial aid, hence, the estimate is:
[tex]\pi = \frac{118}{200} = 0.59[/tex]
99% confidence level
So [tex]\alpha = 0.99[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so [tex]z = 2.575[/tex].
The sample size needed is n when M = 0.03, hence:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.96\sqrt{\frac{0.59(0.41)}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.96\sqrt{0.59(0.41)}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.59(0.41)}}{0.03}[/tex]
[tex]\sqrt{n}^2 = \left(\frac{1.96\sqrt{0.59(0.41)}}{0.03}\right)^2[/tex]
[tex]n = 1032.5[/tex]
Rounding up, it is found that 1033 students would need to be sampled.
A similar problem is given at https://brainly.com/question/25420216
Is this equation correct? 6^3 • 7^3 = 42^3
Answer:
Yes.
Step-by-step explanation:
[tex]6^{3}[/tex] × [tex]7^{3}[/tex] = [tex]42^{3}[/tex]
74,088 = 74,088
We need a rock garden with perimeter of 12 feet and an area of 8 square feet
Answer:
Width: 4
Length: 2
Step-by-step explanation:
What is the slope of a line parallel to the line whose equation is 6x - y = 1. Fully
reduce your answer.
Yolanda purchased stock for $7,000 and paid a 1.5% broker fee. She sold it for $6,325 and paid a 0.5% broker fee. Compute her net proceeds.
Answer:
$-748.38
Step-by-step explanation:
Net proceeds = Total cost of selling the stock - Total cost of purchasing the stock
Total cost of purchasing the stock = $7000 + ($7000 x 0.015) = $7105
Total cost of selling the stock = $6,325 + ($6,325 x 0.005) = $6356.63
Net proceeds = $6356.63 - $7105 = $-748.38
Evaluate f(x) = -4x - 5 for x = -1.
A. -9
B. -1
C. 1
D. 4
Answer:
the answer is c. 1
Step-by-step explanation:
f(x)= -4x -5
f(-1)= -4(-1) -5
f(-1) =4 -5
f(-1)= -1
f(-1/-1) =-1/-1
f= 1
Hanna is recovering hundreds of treasure chests from an ancient shipwreck. She is able to recover 8 chests
every 4 hours.
Complete the table using equivalent ratios.
Treasure chests
Hours
8
4
6
10
Which expression represents the total volume of the two storage spaces
Answer:
S^3+12
Step-by-step explanation:
The big block shows three s then you have to simplify that with 12ft^3
The expression that represents the total volume of the two storage spaces is s³+ 12
What is the total volume?The total volume of the two storage spaces is the sum of the smaller storage space and the larger storage space.
Volume = width x height x length.
Volume of the larger storage space = s x s x s = s³
The total volume of the two storage spaces = s³+ 12
To learn more about the volume of a cuboid, please check: https://brainly.com/question/26406747
I need help with 1-19!! Please help me!!!
Answer:
I need help with1-9!! please help me!!
A bird park has black and white birds in the ratio of 8 to 2 as shown below.
Which is another ratio that can describe the black to white birds?
04 to 1
0 1 to 4
1 to 7
7 to 1
The difference of two numbers is 12 while their product is 45. Find all
such numbers
Choose the fraction that is greater than 5/9.
Answer:
6/9
Step-by-step explanation:
A fitness center introduces two membership plans. The first plan charges $27 per month plus a $22 enrollment fee. The second plan charges $30 per month plus a $10 enrollment fee. Which of the following solution sets shows the number of months during which the first plan is less expensive?
Answer:
hrjejejdbbbhjjiiiiuhvbbdbwnjwkwksk
What is this expression in simplified form?
I will give you branilest!
To transmit information on the internet, large files are broken into packets of smaller sizes. Each packet has 1,500 bytes of information. An equation relating packets of information is given by b = 1500p where p represents the number of packets and b represents the number of bytes of information.
c. Each byte contains 8 bits of information. Write an equation to represent the relationship between the number of packets p and the number of bits s.
s =
How do u do this question?
A --------¢ D
B --------¢ E
C --------¢ F
Just match like this buddy.
b) Write the number 52100 as a power of 10.
Answer:
5.21 * 10^4.
Step-by-step explanation:
There are 4 more digits after the 5 so it is:
5.21 * 10^4.
[tex]52100 = 521 \times {10}^{2} = \\ [/tex]
[tex]5.21 \times {10}^{2} \times {10}^{2} = 5.21 \times {10}^{4} = \\ [/tex]
[tex]10 \times {10}^{4} = {10}^{5} [/tex]
Beth is designing a business card. She makes a scale drawing of her old business card by using a scale factor of Five-fourths. Her scale drawing is a 2 and one-half-inch by 5-inch rectangle.
Answer:
2 by 4 inches
Step-by-step explanation:
If you divide 2 1/2 by 5/4 and 5 by 5/4, you get 2 by 4 inches.
(Edit: I fixed it)
Answer:
The scale factor is a reduction, and the new card should be 4 in x 2 in.
Step-by-step explanation:
help please this is timed
Answer:
$1.25x+$7=$43.25
Step-by-step explanation: