Answer:
A) 2 years at 3% interest = $10,617.57Step-by-step explanation:
loan amount (P) = $10,000
interest is compound monthly :
A = P (1 + r/n)^n*t
find:
which of these loan terms will have the lowest total cost?
A) 2 years at 3% interest
B) 3 years at 3% interest
C) 4 years at 3% interest
D) 5 years at 3% interest
solution:
plugin the values into the formula to get the accumulated monthly interest.
A. using 2 years at 3% interest
A = $10,000 ( 1 + 0.03 ) ¹² ˣ ²
12
= $10,617.57
B. using 3 years at 3% interest
A = $10,000 ( 1 + 0.03 ) ¹² ˣ ³
12
= $10,940.51
C. using 4 years at 3% interest
A = $10,000 ( 1 + 0.03 ) ¹² ˣ ⁴
12
= $11.273.28
D. using 5 years at 3% interest
A = $10,000 ( 1 + 0.03 ) ¹² ˣ ⁵
12
= $11,616.17
therefore, based on the above terms, option A which is $10,617.57
has the lowest accumulated monthly interest. (total cost)
A) 2 years at 3% interest = $10,617.57
Step-by-step explanation:
loan amount (P) = $10,000
interest is compound monthly :
A = P (1 + r/n)^n*t
find:
which of these loan terms will have the lowest total cost?
A) 2 years at 3% interest
B) 3 years at 3% interest
C) 4 years at 3% interest
D) 5 years at 3% interest
solution:
plugin the values into the formula to get the accumulated monthly interest.
A. using 2 years at 3% interest
A = $10,000 ( 1 + 0.03 ) ¹² ˣ ²
12
= $10,617.57
B. using 3 years at 3% interest
A = $10,000 ( 1 + 0.03 ) ¹² ˣ ³
12
= $10,940.51
C. using 4 years at 3% interest
A = $10,000 ( 1 + 0.03 ) ¹² ˣ ⁴
12
= $11.273.28
D. using 5 years at 3% interest
A = $10,000 ( 1 + 0.03 ) ¹² ˣ ⁵
12
= $11,616.17
therefore, based on the above terms, option A which is $10,617.57
has the lowest accumulated monthly interest. (total cost)
A music festival offers one-day and three-day passes. A one day pass costs $100 and a three-day pass costs $250. write an expression for the total ticket sales if (n) one day passes and (t) three day passes are sold.
Answer:
100n+250t
Step-by-step explanation:
cost of the1 one day pass=100
cost of n one day passes=100n
cost of the 1 three day pass=250
cost of t three day passes=250t
Total sale= 100n+250t
The expression for the total ticket sales if (n) one day passes and (t) three day passes are sold is n + t = $350.
What is an expression?An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.
Now it is given that,
Cost of one-day passes, n = $100
Cost of three-day passes, t = $250
So, Total tickets sold = Cost of one-day passes + Cost of three-day passes
⇒ Total tickets sold = n + t
⇒ n + t = $100 + $250
⇒ n + t = $350
which is the required expression for total tickets sold.
Thus, the expression for the total ticket sales if (n) one day passes and (t) three day passes are sold is n + t = $350.
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If cyanide in a stream next to a gold mine increases from 240 ppm to 360 ppm, what percent increase is this?
Given :
Initial concentration , 240 ppm .
Final concentration , 360 ppm .
To Find :
Percent increase.
Solution :
Percentage increase is given by :
[tex]=\dfrac{Final-Initial}{Initial}\times 100\\\\=\dfrac{360-240}{240}\times 100\\\\=50\%[/tex]
Therefore , percent increase is 50 % .
Hence , this is the required solution .
An electric company calculates a persons monthly bill from the number of kilowatt kWh, x, used
The function (in photo ) determines the bill
How much is the bill for a person who uses 400 kWh in a month
A. 50
B. 60
C. 40
D. 30
Answer:
Option (A)
Step-by-step explanation:
From the given piecewise function that represent the amount of bill from number of units of electricity used is 'x' kWh.
b(x) = 0.10x when x ≤ 200
0.15(x - 200) + 20 when x > 200
For x = 400 kWh,
Function which represents the expenses of the bill,
b(400) = 0.15(400 - 200) + 20 [Since x > 200]
= 0.15(200) + 20
= 30 + 20
= $50
Therefore, Option (A) will be the answer.
The polygons below are similar. Find the value of x.
Answer:
16
Step-by-step explanation:
Answer:
x = 16
Step-by-step explanation:
We can use ratios to solve
8 x
-------- = ---------------
6 12
Using cross products
8 * 12 = 6x
Divide each side by 6
96 = 6x
Divide by 6
96/6 = 6x/6
16 = x
What is 2/5 (6) - 3 and how do u get the answer?
Answer:
-0.6
Step-by-step explanation:
If f(x) = 5x + 40, what is f(x) when x = -5?
answers
-9
-8
7
15
What is the slope of the line ?
Answer:
2,3
Step-by-step explanation:
Answer:
3/2
Step-by-step explanation:
Taking the point at (1, -3) and (3, 0) and getting the rise-over-run will give you the answer. 0 - (-3) = 3 for rise, and 3 - 1 = 2 for run.
explain the difference between an Expression and an Equation.
Answer:
An equation has a set value or a mathematical sentence that contains an = sign. An expression is a math sentence that contains numbers, letters, and symbols( not an = tho) and the value of the variable can change.Equations and expressions are often encountered when understanding mathematical concepts. If compared with language, expressions are like phrases while equations are complete sentences. Expressions have no relations whereas equations reveal relationships. You need to solve equations while expressions can only be evaluated.Step-by-step explanation:
pls give brainliest if i helped:)
The difference between the expression and an equation is explained below:
Difference between the equation and expression:The equation represents the mathematical value while the expression could include the numbers, letters, etc. The expression should be treated as phrases while the equations are considered to be complete sentences. The expression does not show any kind of relations while the equation should show the relationship.
In this way, it should be differentiated.
learn more about an equation here: https://brainly.com/question/14006221
Write the expression in radical form. (96x)^2/5
Answer
Step by step explanation
Newman is building a patio. He estimates that he can install 8 square feet of paver bricks every quarter-hour. How many square feet does Newman install per hour?
Answer:
32 square feet
Step-by-step explanation:
From the above question, we know that: for Newman:
8 ft² = 1/4hour
x ft² = 1 hour
We Cross Multiply
8ft² × 1 hour= x ft² × 1/4hour
xft² = 8ft² × 1 hour/1/4 hours
x ft² = 32 ft²
Therefore, Newman installs 32 square feet per hour
If AB = 2x+3, BC = 3x-5, and AC = 38, what is the value of x?
is 6.2 rational or irrational
Answer:
irrational
Step-by-step explanation:
Answer:
Rational.
Step-by-step explanation:
If a number is rational it can be expressed in a fraction [tex]\frac{x}{y}[/tex] where x and y are integers.
[tex]6.2=\frac{62}{10} = \frac{31}{5}[/tex]
Since 6.2 can be expressed in a fraction, it is rational.
Someone plz help hurry will mark.
n/4+1=5 nnnnnnnnfegorogrohtohteohteoeoioeitleigeoeohohrhoagororohroooh
3. How much money would you earn in three months (assume 4 weeks in each month) at each of the jobs you listed in #2 if you worked 6 hours per day for 5 days each week?
Answer:
see below
Step-by-step explanation:
3.) How much money would you earn in three months (assume 4 weeks in each month) at each of the jobs you listed in #2
if you worked 6 hours per day for 5 days each week?
-------------------------------------
1. dog walking:
6 hr/day (5 day) x (4 weeks x 3 months) x $30/hour
$10,800 in 3 months
-------------------------------------
2. private swim instructor
6 hr/day (5 day) x (4 weeks x 3 months) x $20/hour
$7,200 in 3 months
-------------------------------------
3. sandwich maker
6 hr/day (5 day) x (4 weeks x 3 months) x $16.75/hour
$6,030 in 3 months
HELP ASAP PLEASE!!!!
Answer:
[tex]x^3-5x^2+10x-14[/tex]
Step-by-step explanation:
[tex]\left(2x^3-5x^2+3x-10\right)-\left(x^3-7x+4\right)[/tex]
Remove brackets:
[tex]2x^3-5x^2+3x-10-x^3+7x-4[/tex]
Group similar terms together:
[tex]2x^3-x^3-5x^2+3x+7x-10-4[/tex]
Add/Subtract the terms:
[tex]x^3-5x^2+10x-14[/tex]
Answer:
Step-by-step explanation:
( 2X³ - 5X² + 3X - 10 ) - ( X³ - 7X + 4 )
2X³ - 5X² + 3X - 10 = X² - 10
X³ - 7X + 4 = - 7X² + 4
X² - 10 - - 7X² + 4 =
X² - 10 + 7X² + 4 =
THE ANSWER IS
8X⁴ - 6
how would i simplify (4v^3 w) (-2w^3)
Answer:
You would distribute the imaginary 1 to 4w cubed and then do the same to the other side as well so 1 times-2w cubed would still be -2w and then 4w cubed would still be 4v and the answer is: -8v^3w^4
Step-by-step explanation:
The sum of 17 and a number x is equal to 21.
Answer:
x = 4
Step-by-step explanation:
[tex]17 + x =21[/tex]
Subtract 17 on both sides
[tex]x = 4[/tex]
6) -13x = 26
I need a explanation
Answer:
x = -2Step-by-step explanation:
- 13x = 26
divide each side by -13
- 13x = 26
-13 -13
x = -2
Answer:
-2
Step-by-step explanation:
-13x =26
x=-26 :13
x=-2
7r - 1 = 2r + 9 last one for now thank you guys so much for helping me!
Answer:
[tex]r=2[/tex]
Step-by-step explanation:
[tex]7r - 1 = 2r + 9[/tex]
Add 1 to both sides:
[tex]7r-1+1=2r+9+1[/tex]
[tex]7r=2r+10[/tex]
Subtract 2r from both sides:
[tex]7r-2r=2r+10-2r[/tex]
[tex]5r=10[/tex]
Divide both sides by 5:
[tex]\frac{5r}{5}=\frac{10}{5}[/tex]
[tex]r=2[/tex]
Answer:
2
Step-by-step explanation:
What is the slope of a line parallel to the line through (5, -1) and (0, -6)
Answer:
The slope is 1
Step-by-step explanation:
Do the slope formula y2-y1/x2-x1
C' is the image after C(-4,-2) after a reflection across the y-axis. What are the coordinates of C'?
Answer:
(4,-2)
Step-by-step explanation:
r y-axis: (x,y) ⇒ (-x,y)
(-4,-2) ⇒ (4,-2)
Answer:
The coordinates of C is = (-4,2)
Step-by-step explanation:
y-axis
(x, y) →→→→→→→→→→→ (-x, y)
(-4,-2) →→→→→→→→→→→ (-4,2)
the coordinates of point T are (0,4). The midpoint of ST is (6,-7). Find the coordinate of point S
Answer:
Step-by-step explanation:
(x + 0)/2 = 6
x + 0 = 12
x = 12
(y + 4)/2 = -7
y + 4 = -14
y = -18
(12, -18)
The coordinate of the point S will be (12,-18).
What is coordinate geometry?A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A midpoint is a point that lies on a line connecting two other locations and is in the middle of the line.
Given that the coordinates of point T are (0,4). The midpoint of ST is (6,-7). The coordinates of the point S will be calculated as below:-
The x-coordinate is calculated as below:-
(x + 0)/2 = 6
x + 0 = 12
x = 12
The y-coordinate is calculated as below:-
(y + 4)/2 = -7
y + 4 = -14
y = -18
Therefore, the coordinate of the point S will be (12,-18).
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Write 4.36 as a mixed number in simplest form.
4.36 =
Answer: 4 9/25
Step-by-step explanation:
What value of x makes this proportion true?
O A. 20
OB. 5
O C. 6
O 0.9
Answer:
5
Step-by-step explanation:
To find this answer first you multiply 4 by 25, giving you 100, then you divide 100 by 20 to get 5.
To check your work, if you multiply 20 by five you get 100, and if you multiply 25 by four you get 100 as well.
I hope this helps u!
Pls give thx and a brainliest ;)
this is a test please help How many noncollinear points make a plane?
0
1
2
3
Answer: 3 non collinear.
Step-by-step explanation:
1/9divided by 2/5
I need the work will it to how to do it step by step Ik it sounds dumb but I need help.
Answer:
5/18
Step-by-step explanation:
first you want to flip 2/5 to 5/2 and change the division sign to multiplication so it would look like 1/9 x 5/2
then multiply 1 and 5 then 9 and 2 so the top and bottom to get 5/18
side note: but if it were 1/9 x 3/7 you would change the 3 to a 1 and the 9 to a 3 because they multiply so ask yourself how many times does three go into 9 so it would be 1/3 x 1/7= 1/21
hope this helped :) also what math are you taking bc if it is under algebra 1 or something i can help with any questions you have just message me and ill be happy to help :)
Delia went to the market to buy 4.5 pounds of sliced fruit in a container.she paid with a 20 bill and a 5 bill and received 3.67 as change.what was the cost for one pound of sliced fruit before taxes
Answer:
One pound of the item will cost 4.74 billStep-by-step explanation:
In this problem, we are told that Delia bought 4.5 pounds of fruit
and paid with a toa total bill of 20+5= 25 bill
and also she received a change of 3.67
this means that the item she bought cost 25-3.67= 21.33bill
now if 4.5 pounds of items cost 21.33 bill
then 1 pound will cost Xbill
cross multiply and solve for Xbill
X= 21.33/4.5
X= 4.74 bill
One pound of the item will cost 4.74 bill
Jorge’s printer can print 36 pages in 18 minutes. How many pages can it print in 1 hour
Answer:
120 pages can be printed in 1 hour.
Step-by-step explanation:
First divide 36 by 18 to figure out how many pages can be printed in a minute.
Like this: 36 pages ÷ 18 minutes = 2 pages in one minute.
Now, multiply 2 by 60 to figure out how many pages can be printed out in a hour.
Like this: 2 pages in one minute × 60 minutes ( one hour) = 120 pages in one hour can be printed.
Hope this helps!
Witch is greater 6.41 or 6.38
Answer:
6.41
Step-by-step explanation:
if u subtract 6.38 from 6.41 you have .03 left over.
Answer:
6.41
Step-by-step explanation:
6.41 is a greater number