Answer:
110 dollars.
Step-by-step explanation:
Since every day you owe him 2 dollars more, and its been 25 days, 25 x 2 is 50.
You originally owed him 60, and 50 dollars in late fees, so 60 + 50 = 110.
You owe him 110 dollars.
David invested $350 in an account paying an interest rate of 3 % compounded
continuously. Jack invested $350 in an account paying an interest rate of 3%
compounded quarterly. After 5 years, how much more money would David have in
his account than Jack, to the nearest dollar?
Answer:
$0 differenceStep-by-step explanation:
DavidPrincipal P = $350Interest rate r = 3% = 0.03 PA compoundedCompound number = continuousTime t = 5 yearsTotal in account after 5 years:
[tex]A=Pe^{rt}=350*e^{0.03*5} = 406.64[/tex]JackPrincipal P = $350Interest rate r = 3% = 0.03 PA compoundedCompound number n = 4Time t = 5 yearsTotal in account after 5 years:
[tex]A = P(1+r/n)^{nt}=350(1+0.03/4)^{4*5}=406.41[/tex]The difference in totals:
$406.64 - $406.41 = $0.23 ≈ $0 rounded to the nearest dollarAfter 5 years Jack will have $0.66 more money in his account than David.
What is a compound interest?This is a type of interest that is compounded after time period it is said to be compounded. After that particular period, the interest is calculated and then added with the principle. For the next duration, the interest is calculated on the sum.
Here, to find the amount of money after n years, we need to use the formula S = P(1 + r)ⁿ.
For David, S = sum of money after the total period of investment.
P = Principle = $350, r = rate of interest = 3% compounded annually, n = time period = 5 years.
Now, S = $350(1 + 3/100)⁵ = $350(1 + 0.03)⁵ = $350(1.03)⁵ = $405.75
Hence, after 5 years, David will have $405.75 in his bank account.
For Jack, S = sum of money after the total period of investment.
P = Principle = $350, r = rate of interest = 3% compounded quarterly, n = time period = 5 years.
Now, S = $350(1 + 3/ 4× 100)⁵ˣ⁴ = $350(1 + 0.0075)²⁰ = $350(1.0075)²⁰ = $406.41.
Hence, after 5 years, Jack will have $406.41 in his bank account.
Therefore, Jack will have $(406.41 - 405.75) = $0.66 more money than David.
Learn more about compound interest here: brainly.com/question/25857212
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2
Find the slope from the 2 points.
(-12,-9) and ( 18, 6)
-2
-1/2
2
1/2
Step-by-step explanation:
the slope of a line is the ratio y/x.
that means when going from one point to the other, how many units is y changing, when x changes a certain number of units.
so, going from one point to the other here, x changes by 30 units (from -12 to +18). and y changes 15 units (from -9 to 6).
therefore, the slope is
15/30 = 1/2
A charter fishing company buys a new boat for $224,000 and assumes that it will have a trade-in value of $115,200 after 16 years.
a. Find a linear model for the depreciated value V of the boat t years
after it was purchased.
b. What is the depreciated value of the boat after 10 years?
c. When will the depreciated value fall below $100,000?
d. Graph V for 0 ≤ t ≤ 30 and illustrate the answers from (b) and
(c) on the graph.
First, according to the information, we build a linear model, and then, the model is used to find the information asked.
a) The linear model is:
[tex]V(t) = 224000 - 6800t[/tex]
b) The depreciated value of the boat after 10 years is of $156,000.
c) The depreciated value falls below $100,000 after 18.24 years.
d) The sketch is given at the end of the answer.
Item a:
The initial value is of $224,000, thus, the y-intercept of the linear function is of [tex]b = 224000[/tex].The value decayed to $115,200 in 16 years, thus, the slope of the linear function is:[tex]m = \frac{115200 - 224000}{16} = -6800[/tex]
Then, the linear model is:
[tex]V(t) = 224000 - 6800t[/tex]
Item b:
The value after 10 years is V(10), so:
[tex]V(10) = 224000 - 6800(10) = 156000[/tex]
Then, the depreciated value of the boat after 10 years is of $156,000.
Item c:
This is t for which: V(t) = 100000. So
[tex]V(t) = 224000 - 6800t[/tex]
[tex]100000 = 224000 - 6800t[/tex]
[tex]6800t = 224000 - 100000[/tex]
[tex]6800t = 124000[/tex]
[tex]t = \frac{124000}{6800}[/tex]
[tex]t = 18.24[/tex]
The depreciated value falls below $100,000 after 18.24 years.
Item d:
The sketch is appended at the end of this answer.
A similar problem is given at https://brainly.com/question/24978772
Stuck on this problem can someone please help
Answer:
b
Step-by-step explanation:
Answer:
it have to D
Step-by-step explanation:
Brian has 40 stickers. He shares 5 with his friends every day. After 5 days, how many stickers will Brian have left?
Answer: 15 stickers
Step-by-step explanation: 5*5=25 40-25=15
Write in standard form:
one hunderd forty six million, twenty one thousand, sixty six.
Answer:
146,021,066
Step-by-step explanation:
please give brainiest award.
A map of Asia has a scale of 1.5 inches= 300 miles. The distance between Thailand and China is about 5.25 inches. How far is it from Thailand to China in miles? Round to the nearest mile.
Answer:
1050
5.25/1.5 = 3.5
3.5x300 = 1050
Are the two lines parallel, perpendicular,
or neither?
y = 3x -4 and 3x +9y = 18
Prerequisites :-
1) The product of slope of two perpendicular lines is-1 .
2) The slope of two parallel lines is same .
Given two lines to us are ,
[tex] y = 3x - 4 [/tex]This line is in slope intercept form which is [tex] y = mx + c [/tex] . Comparing to which we get ,
[tex] m_1 = 3 [/tex]Again , the second line given to us is ,
[tex] 3x + 9y = 18 [/tex]Convert it into slope intercept form , we have ,
[tex]\implies 3( x + 3y ) = 18 [/tex]
Divide both sides by 3 ,
[tex]\implies x + 3y = 6 [/tex]
Solve for y ,
[tex]\implies y = \dfrac{-x}{3} + 2 [/tex]
On comparing to the slope intercept form ,
[tex] m_2 = \dfrac{-1}{3}[/tex]And the product both the slopes is ,
[tex]\implies m_1 \times m_2 = \dfrac{-1}{3}\times 3 =\boxed{\red{-1}}[/tex]
Hence the given two lines are perpendicular .
How do you interpret domain and range in terms of the context?
Answer:
By the end of this resource, you will be able to identify domain and range from any given contextual situation.
Determining the domain and range from a linear or quadratic contextual situation is similar to determining the independent and dependent variables.
Step-by-step explanation:
Suppose you are interviewing for a job. Your employer offers you the choice of two different options for your pay. The first option is to pay you $10.00 per hour and give you a raise of $.50 per hour at the end of the year. The second option is to pay you $11.50 per hour and give you a raise of $.25 per hour at the end of the year.
First, find a function for each option. To do that, you have to know what the domain and range might be. Let y = the amount you will make at the end of the year and x = the number of hours you work. Thinking about what would be reasonable values for x and y will help determine the domain and range.
First, let's think about the domain. Since x represents the numbers of hours you worked for the year, would it be reasonable to have negative values? If you said NO, you would be correct. We can assume the lowest possible value in the domain would equal zero. So, our domain would be {x| x ≥ 0}.
Now, let’s think about the range. Since y represents your earnings at the end of the year, would it be reasonable to have negative values? If you said NO again, you would be correct. You cannot earn a negative amount. We can assume the lowest possible value in the range would also equal zero. So, our range would be {y | y ≥ 0}. You should be able to relate with this situation since you may have to make a decision in comparing two or more job offers in your future.
It's important to realize that every situation is different and you must think about what is reasonable.
The area of a room is 65.25 meters squared. If its width is 8.7 meters, what is its length?
Answer:
28 / 4 = -7.v
Step-by-step explanation:
James and Bethany Morrison are celebrating their 10th anniversary by having a reception at a local reception hall. They have
budgeted $4,000 for their reception. If the reception hall charges a $50 cleanup fee plus $35 per person, find the greatest number of people that they may invite and still stay within their budget.
Answer:
They can invite at max 112 people.
Step-by-step explanation:
4000 - 50 = 3950
3950 / 35 = 112.85 (Can't round up to 113 because then it will go over their budget), so you will get 112 people.
A student has scores of 66.75, 66, and 72.25 on his first three tests. He needs an average of at least 70 to earn a grade of C. What is the minimum score that the student needs on the fourth test to ensure a C?
The answer is 7.25
Step-by-step explanation:
You need to just subtract thr toher numbers to get a differrnce. Then add up all of the differences so that you get thr correct answer.
Adu has a rectangular field. it is 85m long and 25m wide . How long is the fence round the field?
Answer:
220mStep-by-step explanation:
you only need to find the perimeter,
add the lengths of the rectangle's four sides
85+25+85+25=
220m
Andrea saves 65 each day.if this is 25% of hair daily allowance, how much is her daily allowance
25/100 = x/65
100x = 1625
x = $16.25
$16.25 is her daily allowance
Help me please!!!!!✨✨✨✨✨✨✨✨✨✨
What is the distance between the points -1,-3) and (-1,43)? I think I'll die if I don't get the answer soon
Answer:
you mean the midpoint: (-1, 23)
An arrow is launched upward with a velocity of 128 feet per second from the top of a 100 foot building. What is the maximum height attained by the arrow
Answer:
356 ft
Step-by-step explanation:
give brainliest
Which expression is equivalent to 6(14)?
6(1+40)
6(10+40)
6(10+14)
6(10+4)
Answer:
6(10+4)
Step-by-step explanation:
HELP LAST ATTEMPT !!!!!?
Answer:
180=34+4x+90
180=124+4x
4x=56
X=14
6
Last year, a minor league baseball team
won 75 games. This year the team won
12 fewer games than it won last year.
What is the percent decrease in the
number of games the team won?
F 16%
H 12%
G 20%
J
63%
Answer:
Step-by-step explanation:
h 12
What is the domain and range
Answer:
The domain is the travel on the x-axis of the graph and the range is the travel on the y-axis of the graph.
Step-by-step explanation:
3. Solve 1 < 3x – 2 < 13.
Answer:
1< x <5
Step-by-step explanation:
1<3x−2<13
1+2<3x−2+2<13+2 (Add 2 to all parts)
3<3x<15
33<3x3<153 (Divide all parts by 3)
1< x <5
Answer:
(1,5)
Step-by-step explanation:
On five days of every week Jackie runs 2 1/2 miles in the morning how many total miles is Jackie run every week
Answer:
so I believe the question is just wanting you to do 5 times 2 1/2. I believe the answer would be 12 1/2. Your just adding 2 1/2, 5 times for each day she runs.
Convert 56∘F to ∘C.
Round to one decimal place and do not include units in your answer.
What formula are you using I'm using the one below so hopefully you're able to utilize this.
C = (F-32) ÷ 1.8
C = (56-32) ÷ 1.8
C = ( 24 ) ÷ 1.8
C = 13.3333333
Rounding one decimal place (tenths)
C = 13.3
what are 2 different ways to find 12 -3?
Answer:
Way 1: Determine "what" plus 3 equals 12
Way 2: Regularly take away 3 from 12
Step-by-step explanation:
[1] Let's see if I am correct, shall we?
[tex]n+3=12[/tex]
Subtract 3 from both sides giving you...
[tex]n=9[/tex]
--
[2] Let's see if I am correct, shall we?
[tex]12-3=n[/tex]
Take away 3 from 12 which gives you...
[tex]9=n[/tex]
what is the square root of ten
Answer:
3.16227766017 is the answer
Answer: 3.16227766017
Step-by-step explanation:
Or you could round and get 3.2 or 3.16
Your job is to sell headbands for each headband that you sell at headbands R us you earn a commission of $1.25 if you do not sell any headbands you do not earn any money
Answer:
10 headbands = $12.50
Step-by-step explanation:
1) The function equation that represents the relationship between the number of headbands sold (x) and the commission earned (S) is: S = 1.25 * x. For each headband sold, you earn a commission of $1.25.
2) The point (5, 6.5) is not a solution for the function. When you sell 5 headbands, the commission earned should be $6.25, not $6.5.
3) A solution that does not appear in the table is (10, 12.50). Selling 10 headbands would result in a commission of $12.50.
1.
To complete the table, we can use the given information that for each headband sold, you earn a commission of $1.25.
Function Rule (Commission S): The function equation that represents the relationship between the number of headbands sold (x) and the commission earned (S) is:
S = 1.25 * x
Now, we can use this function to fill in the table:
Number of Headbands Sold (x) | Commission (S)
0 | 0 * 1.25 = $0 (No commission earned for 0 headbands sold)
1 | 1 * 1.25 = $1.25
2 | 2 * 1.25 = $2.50
3 | 3 * 1.25 = $3.75
7 | 7 * 1.25 = $8.75
15 | 15 * 1.25 = $18.75
32.50 | 32.50 * 1.25 = $40.625 (The value in the table seems to be a typo, it should be 32.50 * 1.25 = $40.625)
2.
To check if (5, 6.5) is a solution for the function, we need to see if the commission earned (S) matches with the given number of headbands sold (x) for that point.
Given (x, S) = (5, 6.5)
Using the function rule: S = 1.25 * x
S = 1.25 * 5 = 6.25
The commission earned (S) is $6.25, not $6.5. Therefore, (5, 6.5) is not a solution for the function as the value of S does not match.
3.
To identify a solution that does not appear in the table, we can select any number of headbands sold (x) and calculate the corresponding commission (S) using the function rule.
For example, let's choose x = 10:
Using the function rule: S = 1.25 * 10 = $12.50
So, a solution that does not appear in the table is (10, 12.50), where 10 headbands sold results in a $12.50 commission.
Learn more about Function Rule from the link given below.
https://brainly.com/question/10705186
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Resuelve (10x-8y)(6x+4)=
Answer:
60x^2 + 40x - 48xy - 32y
Step-by-step explanation:
Let's solve this using the FOIL (first, inner, outer, last) method.
(10x-8y) (6x+4)
= 10x × 6x + 10x × 4 - 8y × 6x - 8y × 4
= 60x^2 + 40x - 48xy - 32y
Answer: 60x^2 + 40x - 48xy - 32y
Soory for the wrong answer i re solved it :)
¿Es 42.497.365 divisible por 6?
No, 42,497,365 is not divisible by 6.
Hope it helps you! :)
[tex]GraceRosalia[/tex]
what's name of H2CO3
Answer:
carbonic acid
Step-by-step explanation:
this is a compound called carbonic acid