In 1978, the amount of earnings required to earn one Social Security credit was $250. Thirty-eight years later, in 2016, the amount was $1260. What was the percent increase in the amount required to earn a credit over this 38-year span?
Answer:
404%
Step-by-step explanation:
To find the percentage difference do the following: (FV - SV)/|SV| * 100
(1260 - 250)/|250| * 100 {Subtract 250 from 1260 to get 1010. The absolute value of 250 is 250.}
1010/250 * 100 {Divide 1010 by 250 to get 4.04, or 101/25.}
101/25 * 100/1 {CROSS CANCELLATION}
101 * 4 {Multiply 4 by 101 to get 404.}
404%
The percent increase in the amount required to earn a credit over 38 years is 404%.
Cos(8x+21)=sin(-2x+51) Find the two angles represented in degrees ??? Someone help its 1am I can't do this
Answer:
45 and 135degrees
Step-by-step explanation:
Cos(8x+21)=sin(-2x+51) Find the two angles represented in degrees ??? Someone help its 1am I can't do this
In trigonometry, cosx = sin(90-x)
Hence:
Cos(8x+21) = sin(90-(8x+21))
Cos(8x+21) = sin(90-8x-21)
Cos(8x+21) = sin(-8x+69)
Substituting into the expression given, :
sin(-8x+69) = sin(-2x+51)
-8x+69 = -2x+51
-8x+2x = 51-69.
-6x = -18.
X = 18/6
X = 3
Since the angles 8x+21
Angle = 8(3)+21
Angle = 45
The angles represented in degrees are 45 and (180-45) = 135degrees
Find the volume of a cone with a height of 12m and a base diameter of 10m. Use the value 3.14 for π, and do not do any rounding. Be sure to include the correct unit in your answer.
314
Yes Yes Pog Pog Pog Pog Pog Pog
A school group is raising money for a trip. The group needs $450 for travel and $325 for food. They have 6 weeks to raise money selling $1 candy bars.
What is the least number of candy bars the group needs to sell each week to afford the trip?
Answer:
Step-In total, the amount of money they will need to raise is:
= 450 + 325
= $775
by-step explanation:
They have 6 weeks to raise this money so the amount they have to raise per week is at least:
= 775/6
= $130
The candy bars cost $1 each. They will therefore have to sell a minimum of 130 candy bars each week to afford the trip.
One third the sum of two numbers is 23.If one of the numbers is 29.3,what is the other number
Find mean of the following data.
X 5 10 15 20
F 3 6 3 4
25
4
Answer:
14.1
Step-by-step explanation:
Mean = sum of the items/ no. of items = ∑fx÷∑f = 705÷ 50 = 14.1
how do you solve for x: 2x/3 = 3x/5 - 1 ???
Answer:
x=-15
Step-by-step explanation:
2x/3=3x/5-1
10x=9x-15
10x-9x=-15
x=-15
you need to use the least common multiple which are 3,5
Jada’s lawn mowing service charges $28 an hour plus a $20 fee to cover gas for the mower. Mai’slawn service charges $16 an hour, but a $44 fee. For how many hours will Jada’s service be cheaper than Mai’s?
I need the answer pretty quick plsss
Answer:
Jadas for 4 hours
Step-by-step explanation:
28+20=48
16+44=60
60 x 4 = ?
48 x 4 = ?
Overall Jada's plan is cheaper!!!!!1
Have a great day! Hope this helps!!!!!!!!!!
I need help with this questions
Answer:
Picture 1
Your choice C is correct
(x - (-2))² + (y - 9)² = 5² ⇒ (x + 2)² + (y - 9)² = 25Picture 2
(x + 5)² + (y - 6)² = 36(x - (-5))² + (y - 6)² = 6²r = 6, (h, k) = (-5, 6)Correct choice is C
Picture 3
(x + 5)² + (y + 2)² = 81(x - (-5))² + (y - (-2))² = 9²r = 9, (h, k) = (-5, -2)Correct choice is C
the width of a rectangle is 5 inches less than the length. The area is 80 square inches. Find the length and the width.
If there is an 9% tax
on a $18 football,
what is the tax
amount?
Answer: $1.62
Step-by-step explanation:
9% = 0.09
18 * 0.09 = 1.62
Answer:
1.62
Step-by-step explanation:
To find 9 percent of the number 18, we must create a proportion from which we can easily determine the value we are looking for.
First we create two simple equations with data that we know.
18 equals 100%, so we can save it as 18 = 100%
The value we are looking for can be called x
Now we know that x is 9 of the output value, so we can write it as x = 9.
So we have two simple equations:
1) 18 = 100%
2) x = 9%
When we compare these two equations, we get:
18 / x = (100%) / (9%)
Now we just have to solve the simple equation.
We calculate 9 percent of 18:
18 / x = 100/9
(18 / x) * x = (100/9) * x
18 = 11.111111111111 * x
18 / 11.111111111111 = x
1.62 = x
x = 1.62
Solution:
9 percent of 18 = 1.62
Which could a dilation result in? Select all that apply.
a figure getting smaller
a figure moving to the left
a figure flipping upside down
a figure getting larger
a figure turning about a point
Answer: a figure getting smaller, and a figure getting larger because its changing its size of the shape.
Hope it helps :)
Answer:
first and second to last one on 2021 edge :)
Step-by-step explanation:
Mary bought a desk on sale for 88.40. This price was 74% less than the original price.
What was the original price?
Answer:
p = $340
Step-by-step explanation:
Let p represent the original price. Then the amount Mary paid was (100% - 74%) of the original price: 0.26p = $88.40.
Solving for p: p = $340
Check: what is 74% of $340? $251.60. Subtracting this from $340, we get $88.40. This agrees with the problem statement.
Please help me with this homework
Answer:
Part A: 1
Part B: -1
Step-by-step explanation:
3^1 = 3
3^(-1) = 1/3 = 0.3
A regular pentagon is shown. A regular pentagon has side lengths of 9.4 centimeters and a radius of 8 centimeters. What is the length of the apothem, rounded to the nearest tenth?
Answer:
6.5 cm
Step-by-step explanation:
The computation of the length of the apothem is shown below:
Given that
The side length is 9.4 centimeters
And, the radius is 8 centimeters
Now based on the above information
As per the attached figure
AB = 8 cm
BC = 9.4 ÷ 2 = 4.7 cm
Now apply the pythagoras theorem
AB^2 = BC^2 + AC^2
8^2 = 4.7^2 + AC^2
AC^2 = 41.91
AC = 6.47 cm
= 6.5 cm
Answer: D). 6.5 cm
Step-by-step explanation:
(if u don’t guess and actually provide the answer i’ll mark brainiest) “does the setting play a major role in the long walk to water story? how or why do you know this?”
Answer: yes because lots of story and moves are walking on the beach not sure if this helped you but hope it did
Step-by-step explanation:
How many students chose snap?
Answer:
Well 40% of 120 is 48 so 48 students
Step-by-step explanation:
1.
Do the data in the table represent a direct variation or an inverse variation? Write an equation to model the data in the table.
A. inverse variation; xy = 1.5
B. inverse variation; xy = 54
C. direct variation; [tex]y=\frac{2}{3} x[/tex]
D. direct variation; y = 1.5x
Answer:
D. direct variation; y = 1.5x
Step-by-step explanation:
9/6 = 1.5
12/8 = 1.5
answer is C Direct variation, y = 1.5x
...............................................................................................................................................
The answer is c. Direct variation; y=1.5x
Step-by-step explanation:
help i dont what to do
Answer:
area=breadth* height
2*9
Factor the expression 45y + 20 using the GCF.
Answer:
5(9y + 4).
Step-by-step explanation:
GCF of 45y and 20 is 5
Answer is 5(9y + 4).
is this a function? explain your reasoning.
please help me !
How to solve: 1/3 x 23,26 x 7
Answer:
54.27333333
Step-by-step explanation:
just put them all into a calculator and multiply them
1/3*23.26*7=54.27333333
Answer:
around 54.27
Step-by-step explanation:
Just multiply the numbers or change them to decimals (1/3 = 0.333 , 23.26, and 7 = 7.0)
1/3 * 23.26 * 7 = 54.273 (repeating)
Paulina is going to give away some
stickers to her friends. She can
give an equal number of stickers
to 2, 3, or 5 people. Which number
of stickers could Paulina have?
A. 55
B. 60
C. 66
D. 70
Beyunka has six baseballs that she keeps at her grandparents’ house. That number represents 20% of the baseballs that come in a case. The relationship is shown in the tape diagram below. What is the total number of baseballs that come in a case?
Help
Answer:
30 is the total number of baseballs that come in a case
A 50,000 investment earns 18 percent annually. If b represents the balance and t represents the number of years
Answer: B = 50,000 * 1.18^t
Step-by-step explanation:
This requires the use of the Future Value formula.
Future value = Amount invested + ( 1 + rate) ^ number of years invested
Future value = B in this scenario.
t = number of years.
When putting in figures therefore, the formula becomes:
B = 50,000 * ( 1 + 18%) ^ t
B = 50,000 * 1.18^t
A store sells small and large TV sets in the ratio 2:3.The total stock is 70 sets.1)How many small and large sets are in stock? 2)If the number of large sets is increased by 8 ,what is the new ratio of small to big
Answer: a) There are 28 small TV sets and 42 big TV sets
b) new Ratio of small and large TV set= 28:50
Step-by-step explanation:
Total stock of large and small TV=70
Ratio of small and large TV set=2:3
a) Total ratio=2+3=5
Small set=2/5 x 70= 28 small TV sets
Big set=3/5 x 70 = 42 big TV sets
b)f the number of large sets is increased by 8 then
Big set TV = 42 + 8=50
new Ratio of small and large TV set= 28:50
i dont understand this
Which statement makes a correct comparison of 3/5 and 3/8, and gives the proper support? (Help )
Answer:
3/5 is 0.6
3/8 is 0.375
3/5 is greater then 3/8
the answer would be c
Cars lose value the farther they are driven. A random sample of 11 cars for sale was taken. All 11 cars were the same make and model. A line was fit to the data to model the relationship between how far each car had been driven and its selling price.
Answer:
[tex]y=-\frac{1}{4}x+40[/tex]
Step-by-step explanation:
Given
See attachment for graph
Required
Determine the equation of the line of best fit
First, calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
From the graph, we can have:
[tex](x_1,y_1) = (20,35)[/tex]
[tex](x_2,y_2) = (60,25)[/tex]
So, the slope is:
[tex]m = \frac{25 -35}{60 - 20}[/tex]
[tex]m = \frac{-10}{40}[/tex]
[tex]m = -\frac{1}{4}[/tex]
The equation is then calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
[tex]y = -\frac{1}{4}(x - 20) + 35[/tex]
[tex]y = -\frac{1}{4}x + 5 + 35[/tex]
[tex]y=-\frac{1}{4}x+40[/tex]
Hence, the equation is: [tex]y=-\frac{1}{4}x+40[/tex]
What expression can you use to find 17 divided by 4/5?
A: 4/5 divided by 16
B: 16 divided by 5/4
C: 16 times 5/4
D: 4/5 times 16
Answer: B) 16 times 5/4
Step-by-step explanation:
16 divided by 4/5 = 20
16 x 5/4 = 20
When a whole number like 16 is divided by a fraction such as 4/5, you multiply it by the reciprocal (flipped version) of the fraction. What is the reciprocal of 4/5? It's 5/4. From there, you can solve each equation to make sure they are equivalent to check.