Answer:
m=3 is the slope of this equation y=3x-4
What is the lateral surface area of the triangular pyramid?
Simon bought furniture for his apartment for a total of $2,900. The store financed his purchase for 18 months at 0% interest, and there is no minimum monthly payment amount. Simon decides to pay nothing the first month, and then $180 per month after the first month towards the total until it's paid off.
Complete question :
Simon bought furniture for his apartment for a total of $2,900. The store financed his purchase for 18 months at 0% interest, and there is no minimum monthly payment amount. Simon decides to pay nothing the first month, and then $180 per month after the first month towards the total until it's paid off.
Set up an equation such that Tn represents the total amount Simon still owes after n months.
Calculate the amount Simon still owes at the end of one year after his purchase.
Answer:
Tn = 2900 - 180(n - 1)
Tn = $920
Step-by-step explanation:
Cost of furniture = $2900
Assume no interest
Amount paid in first month = 0
Constant amount to be paid after first month = $180
T amount owed after n, months :
Tn = Cost of furniture - amount to be paid per month * (Number of months - 1)
Hence,
Tn = 2900 - 180(n - 1)
Amount owed at the end of one year after purchase :
Tn = 2900 - 180(12 - 1)
Tn = 2900 - 180(11)
Tn = 2900 - 1980
Tn = $920
The Simon decides to pay nothing the first month, and then $180 per month after the first month towards the total until it's paid off is :
Tn = 2900 - 180(n - 1)
Tn = $920
"To understand the calculation, check below."
InterestWhat all information we have ?
Cost of furniture = $2900
Assume no interest
Amount paid in first month = 0
Constant amount to be paid after first month = $180
T amount owed after n, months :
Tn = Cost of furniture - amount to be paid per month * (Number of months - 1)
Tn = 2900 - 180(n - 1)
Tn = 2900 - 180(12 - 1)
Tn = 2900 - 180(11)
Tn = 2900 - 1980
Tn = $920
The Simon decides to pay nothing the first month, and then $180 per month after the first month towards the total until it's paid off is Tn = $920.
Learn more about "Interest":
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Reduce to simplest form.
-7/12 +3/8
Answer:
-5/24
Step-by-step explanation:
here u gooo :).....
The ratio of almond pieces to
cranberry pieces in a salad is 3 to 4.
If there is a total of 28 pieces in
salad, how many are almond pieces
and how many are cranberry
pieces?
37 dimes, 23 quarters.
Answer: 12 almond pieces and 16 cranberry pieces
Step-by-step explanation:
Plz sum 1 help quickkkkk
Answer:
D
Step-by-step explanation:
VW = FG
hope this helps...
A manufacturing plant is capable of producing 10 tons of product per day when it runs three shifts with no breakdowns and plenty of raw materials. Over the past week, the plant has produced an average of 7.3 tons per day because the third shift has devoted much of their time to preventive maintenance. What is the utilization of the plant?
Answer: 73%
Step-by-step explanation:
The plant is capable of producing 10 tons of product in one day.
Currently however, it is only able to produce 7.3 tons per day.
Utilization is therefore:
= Actual production/ Potential production * 100
= 7.3/10 * 100
= 73%
3. Frank is considering two cell phone plans. The first company charges $120 for the
phone and $30 per month for the calling plan that Juan wants. The second company
charges $40 for the same phone but charges $45 per month for the calling plan that
Juan wants. After how many months would the total cost of the two plans be the same?
Representations:
Equations:
Answer:
5.333 months
Step-by-step explanation:
Company A: 120+30x
Company B: 40+ 45x
120+30x=40+45x
80=15x
80/15=x
5.33333=x
someone please help me this is really confusing
Answer:
Area of trapezoid is: [tex]\mathbf{11x^3y^2}[/tex]
Area of triangle is: [tex]\mathbf{6a^3b^2}[/tex]
Perimeter of triangle is: [tex]\mathbf{3ab+14a^2b}[/tex]
Step-by-step explanation:
Image 1:
We need to Find area of trapezoid.
The formula used is: [tex]Area=\frac{1}{2}h(b_1+b_2)[/tex]
where h is height and b₁ and b₂ are parallel sides.
Looking at the figure we get:
h = 2xy
b₁ = 4x²y
b₂ = 7x²y
Putting values and finding area:
[tex]Area=\frac{1}{2}h(b_1+b_2)\\Area=\frac{1}{2}\times 2xy(7x^2y+4x^2y)\\Area=\frac{1}{2}\times 2xy(11x^2y)\\Area=\frac{1}{2}\times 22x^3y^2\\Area=11x^3y^2[/tex]
So, Area of trapezoid is: [tex]\mathbf{11x^3y^2}[/tex]
Image 2:
We need to find area and perimeter of triangle.
First we will find area of triangle.
The formula used is: [tex]Area=\frac{1}{2}\times b \times h[/tex]
where b is base and h is height
Looking at the figure,
b = 3ab
h = 4a²b
Finding area:
[tex]Area=\frac{1}{2}\times b \times h\\Area=\frac{1}{2}\times 3ab \times 4a^2b\\Area=\frac{1}{2}\times 12a^3b^2\\Area=6a^3b^2[/tex]
So, Area of triangle is: [tex]\mathbf{6a^3b^2}[/tex]
Now, finding Perimeter of triangle
The formula used is: [tex]Perimeter = Sum\:of\:lengths\:of\:all\:sides\:of\:triangle[/tex]
Looking at figure:
Length of side 1 = 3ab
Length of side 2 = 4a²b
Length of side 3 = 10a²b
Finding Perimeter
[tex]Perimeter = Sum\:of\:lengths\:of\:all\:sides\:of\:triangle\\Perimeter = 3ab+10a^2b+4a^2b\\Perimeter=3ab+14a^2b[/tex]
So, Perimeter of triangle is: [tex]\mathbf{3ab+14a^2b}[/tex]
Estimate a 10% tip on a bill of $179.54 by first rounding the bill amount to the nearest ten dollars.
Answer:
Step-by-step explanation:
First we start off by rounding that number to the nearest ten, not tenTH. This rounding would lead to 180$. Now comes the percent part. Here i use the percent equation, which is ____ is ____% of _____. our percent is 10%, and our whole goes at the end, 180$. The part( or the tax), becomes x, and now we translate. Is means = and of means times. so x=.10(180), and x will equal 18
so the tip will be around 18 dollars
hope it helped
The perimeter of a college basket ball court is 96 m and the length is 14m
more than the width. What are the dimensions?
width=17m
length= 31m
Step-by-step explanation:
width = x
length= x+14
perimeter = 96m
2(x+x+14)=96
4x+28=96
4x=68
x=17
width=17m
length= 31m
Which set of expressions below does NOT represent equivalent expressions?
A. 8(3x + 7) and 8(3x) + 8(7)
B. 3(8x + 7) and 11x + 10
C. 7(3x + 8) and 7 ∙ 3x + 7∙ 8
D. 3(7x + 8) and 21x + 24
Answer:
B
Step-by-step explanation:
The other are equal
A teenager has $20 to spend at the fair. The teenager rides 5 roller coasters and has $13.75 left. Each roller coaster costs the same amount.
How much does each roller coaster cost to ride, in dollars and cents?
Answer:
Each ride costs $1.25
Step-by-step explanation:
$20 - $13.75 = $6.25
$6.25 / 5 = $1.25
Answer:
1.25 per ride
Step-by-step explanation:
Subtract 13.75 from 20. You get 6.25. Divide 6.25 by 5.
Gabriella earns a commission of 6% for every house she sells each month. This month she sold 3 houses totaling $895,000. How much did she earn commission this month?
Answer:
$53,700
Step-by-step explanation:
Commission earned = percentage commission x total number of houses sold
[tex]\frac{6}{100}[/tex] x $895,000 = $53,700
Hank bought 3 more boxes of cereal than gallons of milk. He bought x boxes of cereal at $2.79 each. Each gallon of milk costs $4.49. Consider the expression 2.79x + 4.49 (x-3).
A. The term x- 3 represents the number of gallons of milk.
B. The coefficient 2.79 represents the cost of one box of cereal.
C. The expression represents the total number of boxes of cereal and gallons of milk.
Answer: all statements are true.
Step-to-step explanation:
Given: Cost of 1 box of cereal =$2.79
Cost of x boxes of cereal= $2.79 x
Each gallon of milk costs $4.49.
Hank bought 3 more boxes of cereal than gallons of milk.
gallons of milk = x-3
Total cost = (cost per box of cereal) × (x) +(Cost per gallon of milk) × (x-3)
= 2.79x + 4.49 (x-3)
All statements are correct:
A. The term x- 3 represents the number of gallons of milk.
B. The coefficient 2.79 represents the cost of one box of cereal.
C. The expression represents the total number of boxes of cereal and gallons of milk.
A company rents out 10 food booths and 25 game booths at the county fair. The fee for a food booth is
$100 plus $6 per day. The fee for a game both is $50 plus $7 per day. The fair lasts for n days, and all the
booths are rented for the entire time. Enter and simplify an expression for the amount in dollars that the
company is paid.
Answer:
49?
Step-by-step explanation:
Directed line segment overline FG has endpoints F(4, 9) and G(- 8, - 9) .On the coordinate plane below , plot a point that partitions the directed line segment in a ratio of Point 1/2 Undo Reda x Reset 10 8 7 65 443 2
Answer:
The coordinates of the point that makes the division in the given ratio is (0,3)
Step-by-step explanation:
Here, we want to find the point on the line segment that divides the line segment in the ratio 1:2
We simply use the internal division formula
That would be;
(x,y) = (nx1 + mx2)/(m + n) , (ny1 + my2)/(m + n)
m = 1 and n = 2
(x1,y1) = (4,9)
(x2,y2) = (-8,-9)
Substituting these values into the formula, we have;
2(4) + 1(-8)/(1 + 2) , 2(9) + 1(-9)/(2 + 1)
= (8-8)/3 , (18-9)/3
= (0,3)
Explain why the measure of angle 2 is greater than the measure of angle 3
Answer: number 2 is a obtuse angle and number 3 is a right angle
Prove that if two crosses are equal, than each pair of crosses are equal.
For the trinomial x^2-11x+10 determine if the factors of c will will be both positive, both negative, or opposite signs.
Answer:
Two negatives
Step-by-step explanation:
I'm assuming by 'factors of c' you mean factors of the last term. For the entire trinomial, we know that there are two negative signs. To be able to get a negative 11x and then a positive 10, we would need two negatives, since two negatives equal a positive. Hope that helps!
Shelby sold 75 raffle tickets for the school fundraiser over a 3-year period. If Kelly sold 15 less tickets than Shelby over the last 3 years, how many did Kelly sell each year on average?
Answer: 20 tickets
Step-by-step explanation:
From the question, we are informed that Shelby sold 75 raffle tickets for the school fundraiser over a 3-year period while Kelly sold 15 less tickets than Shelby. This means that the number of tickets sold by Kelly is:
= 75 - 15
= 60 tickets
The number of tickets sold by Kelly each year on average will be:
= Number of tickets sold / Number of years.
= 60/3.
= 20 tickets
over the last 3 years
Solve this equation. Please show work.
log(4m-10)=1
Answer:
m=5
Step-by-step explanation:
1. Convert the logarithm into exponential form using the fact that [tex]log_{a}[/tex](x)=b is equal to x=[tex]a^{b}[/tex] so ... 4m-10=[tex]10^{1}[/tex]
2. Any expression raised to the power of 1 equals itself so ... 4m-10=10
3. Move the constant to the right-hand side and change its sign so ... 4m=10+10
4. Add the numbers so ... 4m=20
5. Divide both sides of the equation by 4 so ... m=5, m>[tex]\frac{5}{2}[/tex]
6. Check if the solution is in the defined range so ... m=5
What is the missing angle. Find x
Answer:
20 20202020020200220020200
Step-by-step explanation:
A passenger jet can travel 600 miles per hour. How long
would it take a jet traveling at that speed to cross 3000 miles of ocean?
Write an equation and solve the problem.
Answer:
the answer would be 5 hours
Step-by-step explanation:
we know he has 3000 miles to travel so if he travels 600 mph than you would have to divide.
3000/600 = 5
another way you could solve it is to take two zeros from each point so that you have 30 and 6, then you divide then.
30/6 = 5
and ta da the question is sloved!!!
Brianna invested $25,000 in an account paying an interest rate of 3.6% compounded daily. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 18 years?
Answer: A≈47791.31
Step-by-step explanation:
A
=
P
(
1
+
r
n
)
n
t
A=P(1+
n
r
)
nt
Compound interest formula
P
=
25000
r
=
0.036
t
=
18
n
=
365
P=25000r=0.036t=18n=365
Given values
A
=
25000
(
1
+
0.036
365
)
365
(
18
)
A=25000(1+
365
0.036
)
365(18)
Plug in values
A
=
25000
(
1.0000986301
)
6570
A=25000(1.0000986301)
6570
Simplify
A
=
47791.3122461
A=47791.3122461
Use calculator
A
≈
47791.31
A≈47791.31
The amount after 18 years will be $47,791
What is compound interest?Compound interest simply means that the interest associated with a bank account, loan, or investment increases exponentially over time.
Given that, Brianna invested $25,000 in an account paying an interest rate of 3.6% compounded daily.
A = P(1+r/365)^n*365
A = 25000(1+0.00009863)^6570
A = 25000(1.00009863)^6570
A = 47,791
Hence, The amount after 18 years will be $47,791
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How do you calculate pi? answer quick and u will get brainiest
Answer:
Make sure you are using a perfect circle.
Measure the circumference of a circle as accurately as you can.
Measure the diameter of the circle.
Use the formula.
For more accurate results, repeat this process with several different circles, and then average the results.
Step-by-step explanation:
Answer:
3.14
Step-by-step explanation:
You calculate anything times 3.14
Dana's car averages 28 miles per gallon of gas, and it currently contains 1 gallon of gas. If
Dana adds $10.00 worth of gas, sold for $2.50 per gallon, how many miles can he expect to
drive before running out of gas?
Answer:
140 miles
Step-by-step explanation:
10/2.5=44 gallons + 1 gallon= 5 gallons28 miles per gallon28*5 or 28+28+28+28+28=140
Suppose that you bought a new car at a price of $27,600.
According to research on this make and model, similar cars
have straight line depreciated to o value after 12 years. How
much will your car be worth after 9 years?
c. What is the equation of the line?
A. y = 2300x + 27600
B.y=-2300x + 27600
C.y= -2300(9) + 27600
D.26700-12 = y
Answer:
b
Step-by-step explanation:
because its minus
i think
Mario's plumbing service
Charges $40 to make a house
Call plus $25 an hour.
y=40+25h
Fill in the chart
Answer:
So, hour 0 and charge is 0. hour 1 is 25, hour 2 is 50, hour 3 is 75, hour 4 is 100 and hour 5 is 125
Step-by-step explanation:
For every hour, add 25 in each box.
giving out brainlist and extra points ♥️
Answer:
Pretttyyy sureeee
Y=-1/4x+5
Y=3x-8
Step-by-step explanation:
F(-2)=15, F(1)=9 can someone help me please
Answer:
y= -2x +11
Step-by-step explanation:
the 2 points: (-2,15) and (1,9)
find the slope: 6/ -3 = -2
find y-intercept: 9 = -2 + b b=11
