Answer:
A = 2000(1.042)^t; $2667.50
Step-by-step explanation:
The formula or model for Compound Interest is given as:
A = P(1 + r/n)^nt
Where:
A = Amount or Balance after t years
P = Principal or initial amount invested = $2000
r = Interest rate = 4.2% = 0.042
t = Time in years = 7 years
n = Compounding frequency = Annually = per year = 1
Hence, the compound interest function to model for the situation (Question) with time t above is:
A = 2000(1 + 0.042) ^1 ×t
A = 2000(1.042)^t
Therefore solving for the balance
A = 2000(1.042)^7
A = 2,667.50
A = $2667.50
Therefore, option a =
A = 2000(1.042)^t; $2667.50
is the correct option.
Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks. Craig's Bakery recently spent a total of $311 on new equipment, and their average hourly operating costs are $9. Their average hourly receipts are $10. The bakery will soon make back the amount it invested in equipment. How many hours will that take? What would the total expenses and receipts both equal?
Answer:
a. 311 hours
b. i. $3,100 in receipts
ii. $2,799 in expenses.
Step-by-step explanation:
a. The company is making $10 per hour and spending $9 an hour. Their profit is therefore:
= 10 - 9
= $1 per hour
Since they spent $311 on the new equipment, the amount of time it would take for them to make this back is:
= 311 / 1
= 311 hours
b. In 311 hours, the total receipts would be:
= 311 * 10
= $3,110
The expenses would be:
= 311 * 9
= $2,799
if y=4x+5 what is the slope of the line
Answer:
4
Step-by-step explanation:
y = mx + b
y = (x , y)
m = slope
x = (x , y)
b = y-intercept
In this case, check what number replaces the variable for slope, m:
y = mx + b
y = 4x + 5
In this case:
y = y
m = 4
x = x
b = 5
Therefore, 4 is your answer.
~
Hii!
___________________________________________________________
Answer:
Below is all the information you need! ^^
Step-by-step explanation:
Note that the equation that is given to us is in slope intercept form.
The slope intercept formula is y=mx+c, in which.
m=slope
c=y intercept
In the equation y=mx+c, the slope is m.
Similarly, in the equation y=4x+5, the slope is 4.
--
Hope that this helped! Best wishes.
--
Help Please ! =(
Find the measures of the interior angles of the triangle.
HELP ME PLEASE!! ASAP THANK YOU
Answer:
the third and fourth one
Step-by-step explanation:
Answer:
the equations that have the solution n= 9 are the 3rd and 4th ones..
Determine whether each relation is a function or not. If possible, write each function using the function notation.
a. 2y+4x=xy-8
b. x^2 + y^2 =5
Answer:
the answer is A.................
Hello. I was stuck on this. Can you please help? Will give brainliest answer to the best one. Theres no need to go into a big explanation, just saying. Will give 5 stars and thanks. °ω°
Answer:
D ( not 100 percent) hear me out time is constant and I think the constant has to be on the bottom
Step-by-step explanation:
It’s between c and d for me hope this gets you a lil further ahead
Students wash cars to raise funds for class trips. The class made a profit of $326.60 from last Saturday’s car wash, which was 92% of its revenue. How much was the revenue(commission) for the car wash? (plsssssss answer someone)
Answer:627.072
Step-by-step explanation:
Help me out please an thank you
Covert 7/8 to a decimal to a percent
and show a example how you do It
Answer:
[tex] \frac{7}{8} \\ = 0.875 \\ = 87.5percent[/tex]
Step-by-step explanation:
To get the decimal we divide: 7÷8=0.875
To get percentage multiply 0.875 by 100 So
0.875×100=87.5%
What is the area of a 3/4 yards and 5/6 yard rectangle?
Answer: 15/24
Step-by-step explanation:
A x B = 5/6 x 3/4 = 15/24
Megan ate a fraction of a fruit salad. David ate 1/4 of the rest of the salad. If 9/16 of the salad is left, what fraction did Megan eat?
Answer:
5/16
sorry if i get it wrong! :(
Select the correct answer.
Simplify.
Answer:
is it m-9?Step-by-step explanation:
Answer:
its 1 /d
Step-by-step explanation:
6*3 is 18,
so its m^18 / m^18
which is 1
Have a good day!!!
Giving brainliest!!!???
Answer:
B.
Step-by-step explanation:
Since they are talking about the weight of the box increasing I think (correct me if I am wrong) that the answer would be w.
I hope this helps :)
direct and inverse variation
Answer:
4 workers can do the job in 18 days.
Step-by-step explanation:
The number of days d varies inversely as the number of workers.
We can write it as: [tex]d\: \alpha\: \frac{1}{w} \\d=\frac{k}{w}[/tex]
where k is constant of proportionality
We are given: If it takes 9 days for 8 workers to complete the job, then how many workers would it take to do the job in 18 days.
d = 9, w = 8
d = 18, w =?
First we will find value of k when d = 9, w =8
[tex]d=\frac{k}{w}\\9=\frac{k}{8}\\k=9*8\\k=72[/tex]
The value of k, will remain same as it is constant.
We get k = 72.
So, Now we have d = 18, k = 72 and we need to find w
[tex]d=\frac{k}{w}\\18=\frac{72}{w}\\18w=72\\w=\frac{72}{18}\\w=4[/tex]
So, 4 workers can do the job in 18 days.
If point (5,2) is rotated counterclockwise 90° about the origin, its image will be point
(2,5)
(-5, -2)
(2,-5)
(-2,5)
Answer:
the second one
Step-by-step explanation:
Helppp pleaseeeeee Brainly
Answer:
1. 4
2. 16
3. 8
Step-by-step explanation:
1. 4^2 / 2^2
4^2 = 16
2^2 = 4
16/4 = 4
2. (8- 4) x 4
8 - 4 = 4
4 x 4 = 16
3. 2^2 + 2^2
2^2 = 4
2^2 = 4
4 + 4 = 8
Hope I helped!
Answer:
[tex]\frac{4^{2} }{2^{2} } = 4[/tex]
(8 - 4) x 4 = [tex]4^{2}[/tex]
[tex]2^{2} +2^{2}[/tex] = 8
Step-by-step explanation:
[tex]\frac{4^{2} }{2^{2} } = 4[/tex] because [tex]4^{2} = 16[/tex] and [tex]2^{2}[/tex] = 4. 16/4 is the same as 4.
(8 - 4) x 4 = (4) x 4 = 16. This is the same as [tex]4^{2}[/tex].
[tex]2^{2} +2^{2}[/tex] is the same as 4 + 4, which is 8.
Hope it helps!
If 55% of a number is 143 and 45% of the same number is 117, find 100% of that number.
solve algebraically for all values of x[tex]\sqrt{x-4} +x=6[/tex]
Answer:
x=5
sqrt of 5-4=1
then 1 +x(5)=6
The solutions to the equation (√x - 4) + x = 6 are x = 4 and x = 25.
To solve the equation (√x - 4) + x = 6 algebraically, we can follow these steps:
Start with the given equation: (√x - 4) + x = 6.
Begin by isolating the square root term on one side of the equation. Subtract x from both sides:
(√x - 4) + x - x = 6 - x
√x - 4 = 6 - x
Move the constant term to the right side by adding 4 to both sides:
√x - 4 + 4 = 6 - x + 4
√x = 10 - x
Square both sides of the equation to eliminate the square root:
(√x)² = (10 - x)²
x = (10 - x)²
x = (10 - x)(10 - x)
x = 100 - 10x - 10x + x²
x = 100 - 20x + x²
Rearrange the equation to form a quadratic equation:
x² - 21x + 100 = 0
Solve the quadratic equation by factoring, completing the square, or using the quadratic formula. In this case, we can factor the quadratic equation:
(x - 4)(x - 25) = 0
Set each factor equal to zero and solve for x:
x - 4 = 0 or x - 25 = 0
Solving for x in each case:
x = 4 or x = 25
Therefore, the solutions to the equation (√x - 4) + x = 6 are x = 4 and x = 25.
To know more about equation:
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Evaluate the expression for the given value of x.
4.5 − 1.5 for = 3
Answer:
Either 0, 12, or 9 (Possibly)
Step-by-step explanation:
I'm assuming that you forgot to put the x next to 4.5 or 1.5 or that you forgot to put x next to both of them and that =3 means x=3
Case 1 (4.5x - 1.5x, x = 3):
You can simplify this expression because both of the units are the same (x). 4.5x - 1.5x = 3x. Next, you have to plug in 3, which would be 3 * 3 which is 9.
Case 2 (4.5x - 1.5, x = 3):
Plug in 3 and you would get 13.5 (4.5 * 3) - 1.5, which is equal to 12.
Case 3 (4.5 - 1.5x, x = 3):
Plug in 3 and you would get 4.5 - 4.5 (1.5 * 3), and since they are the same, it is equal to 0.
If none of these are the answer or you are asking something else, feel free to comment on this answer
-Hope this helped-
In ΔQRS, the measure of ∠S=90°, SQ = 47 feet, and RS = 70 feet. Find the measure of ∠R to the nearest tenth of a degree.
Answer:
33.9
Step-by-step explanation:
What function uses the OPPOSITE and the ADJACENT?
tanR=
adjacent /opposite
=
70/ 47
tanR=
70 /47
R=tan
−1
( 70 /47 )
What expression represents the value of y?
The expression that represents the solution of y is y = √wz
How to determine the value of y?The triangle represents the given parameter
Also, we can see that the figure combines two right-angled triangles is
By the theorem of the right-angled triangle
w : y = y : z
Express the above ratio as a fraction
So, we have the following equation
w / y = y / z
Cross multiply in the above equation
So, we have
y² = wz
Take the square roots
y = √wz
Hence, the solution of y is y = √wz
Read more about right-angled triangle at
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determnine if each table shown below represents a function or not.
Table 1
Input (x) 1 3 5 5 9
Output (y) 7 16 19 20 28
We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.
In other words, we can not have duplicated inputs as there should be only 1 output for each input.
From Table 1, it is clear that:
Each input or x-value of the X set has a unique y-value or output of the Y set. There is no duplicated input (repeated x value).Therefore, Table 1 represents a function.
Table 2
Input (x) 0.5 7 7 12 15
Output (y) 7 15 10 23 30
We already know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.
In other words, we can not have duplicated inputs as there should be only 1 output for each input.
From Table 2, it is clear that:
There is a duplicated input (repeated x value) i.e. x = 7 appears twice. And we can not have repeated input values.As the input x = 7 is repeated multiple times, thus, the given table 2 does not represent a function.
Therefore, Table 2 does not represent a function.
The triangle shown is an equilateral triangle. An equilateral triangle has sides lengths a. What is the area of the equilateral triangle with the length of each side equal to a? One-half a sine (60 degrees) 3 a sine (60 degrees) One-half a squared sine (60 degrees) a squared sine (60 degrees)
Answer: its C
Step-by-step explanation:
The area of an equilateral triangle can be written as a squared sine (60 degrees) thus Option D is correct.
What is an equilateral triangle?The triangle in which all three sides are of the same length. In this the all angles are the same 60°.
The area of a triangle can be calculated by,
A = 1/2 x b x h..................1
Where,A - Area of triangle
b - base
h - height
From, Pythagoras Theorem
a² = h² + (a/2)²
h² = a² - (a/2)²
Put the value of “h” in equation 1
A = 1/2 x b x h
A = 1/2 x √[a² - (a/2)²] x h
A = √3/4 a²
Since √3/4 = sin 60°.
So, the area of an equilateral triangle as a squared sine (60 degrees).
Learn more about the equilateral triangle;
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Susan purchased a prepaid phone card for $15. Long distance calls cost 14 cents a minute using this card. Susan used her card only once to make a long distance call. If the remaining credit on her card is $9.26, how many minutes did her call last?
Answer:
41 minutes
Step-by-step explanation:
Step one:
given data
Susan purchased a prepaid phone card for $15
let the number of minutes be x
and let the total be y
per minute call cost = 14 cents = $0.14 per minute
Hence the expression for the situation is given as
y= 15-0.14x
Step two:
given that the balance after a call is 9.26
9.26=15-0.14x
solve for x
9.26-15= -0.14x
5.74=0.14x
divide both sides by 0.14
x=5.74/0.14
x=41 minutes
c=27+10h where c= cost in dollars and h= number of hours rented
Answer:
that help
Step-by-step explanation:
10h+27+−27=c+−27
10h=c−27
10h10=c−2710
h=110c+−2710
Answer:
h=110c+−2710
Зr — Зу = — 18
9x — 6y= — 48
Please help!
Answer:
The answer should be (-4,2)
Step-by-step explanation:
Three friends went to the batting cage. Cameron made 36 hits, Austin made 14 hits, and Jordan made 24 hits. How many hits did the three make in all?
A.
60
B.
50
C.
38
D.
74
Answer:
36+14+24=74
Step-by-step explanation:
How i figured it out is if you add 36+14 that equals 50 and 50+24=74
that is your answer.
hope this helps;)
A radio is on sale for $50. If the price represents a 10% discount from the original price, what is the original price to the nearest nickel?
Answer:
Ok, so the discount is given in a percentage, in this case 10%. The sale price is going to reflect 10% of the original price minus the discount, so...
Sale $ = original$ - original $ x .10
If we use some algebra, we can reorganize the equation to solve for the original price...
Sale $ = original$ - original $ x .10
Sale $ = original$ (1 - .10)
Sale $ = original$ x .90
original$ = sale$/.90
So now we can plug in our values
original price = 50/.90
original price = 55.55555 = $55.55 to the nearest nickel
A person invests 10000 dollars in a bank. The bank pays 7%
compounded annually. To the nearest tenth of a year, how long must
the person leave the money in the bank until it reaches 18900 dollars?
Answer:
t=9.40865\approx 9.4 \text{ years}
t=9.40865≈9.4 years
Step-by-step explanation:
The sum of -5, -9, and 10 is _____.
4
-4
-14
14
Answer:
-4
Step-by-step explanation: