On the first day the company is giving Rs124, 000.
On the fifteenth day the company will give Rs 125400
The amount they wanted to give in august for promotion is Rs 124,000. They increased the amount each day by Rs 100.
Therefore, the sequence will be as follows;
124,000, 124,100, 124,200 .......
i.
The amount they will give on the first day is Rs124, 000
Arithmetic progression formulaaₙ = a + (n - 1)dii
The sequence is increasing by 100. Therefore,
common difference = 100
first term = 124, 000
Therefore,
a₁₅ = 124000 + (15 - 1)100
a₁₅ = 124000 + 1400
a₁₅ = 125400
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Determine the value of ∠EBD∠EBD. Show your work.
Giving 18 POINTS
The value of ∠EBD is 66°
Vertically opposite anglesVertical angles are a pair of opposite angles formed by intersecting lines. Vertical angles are equal. Therefore,
∠EBA≅∠CBF
Therefore,
∠EBA = 40 - x
∠EBA + ∠EBD = 90°(complementary angles)
Therefore,
40 - x + 6x - 30 = 90
5x = 90 + 30 - 40
5x = 80
x = 80 / 5
x = 16
Therefore,
∠EBD = 6(16) - 30 = 66°
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6. Ms. Carson drove 96 miles in 1.5 hours.
What was her speed in miles per hour?
A. 48 miles per hour
B. 54 miles per hour
C. 64 miles per hour
D. 144 miles per hour
Answer:
c
Step-by-step explanation:
divide 96 by 1.5 and you'll get 64
Answer:
64
Step-by-step explanation:
I first go through every answer and multiply it by 1 and then dvide it by 2 and add it onto the first number. The answer that makes sence here is 64.
64/2 = 32
64 + 32 = 96
Have an amazing day!
PLEASE RATE!
What is the solution to this inequality? 3x+7>16 Drag and drop a symbol and number to correctly complete the inequality.
PLEASE HELP!
Answer:
x > 3
Step-by-step explanation:
Step 1: Subtract 7 from both sides.
[tex]3x+7-7 > 16-7[/tex] [tex]3x > 9[/tex]Step 2: Divide both sides by 3.
[tex]3x/3 > 9/3[/tex] [tex]x > 3[/tex]Therefore, the solution is x > 3.
Answer:
[tex]\displaystyle 3 < x[/tex]
Step-by-step explanation:
[tex]\displaystyle 3x + 7 > 16 \hookrightarrow \frac{3x}{3} > \frac{9}{3} \\ \\ x > 3[/tex]
The above answer is written in reverce, and is still the same result.
*Now, in case you did not know how we arrived at the division, seven was deducted from both sides of the inequality to give you [tex]\displaystyle 3x > 9.[/tex]From there, we splat both sides in third to give you the above result.
I am joyous to assist you at any time.
What values are needed to make each expression a perfect square trinomial? x2 4x x2 – 10x.
Answer:
Step-by-step explanation:
4 and 25
The Todd family plans to start a small business. Mr. Todd borrows $10,000 from the blank at an annual interest rate 8%for 36 months what's his interest he will pay on his loan
Answer: They will end up paying $2,400.
Step-by-step explanation:
Since the annual interest rate is 8% of $10,000, take 8% of 10,000 by multiplying these numbers. This gives you $800.
This is only the annual interest rate, the Todd family's loan and interest isn't paid until 36 months have passed. Since 36 months is equal to 3 years, we can multiply the annual rate by 3. (800*3)
The Todd family will pay $2,400 in interest by the end of the period.
find the volume of the cone
The volume of the cone is [tex]\frac{1}{3} \pi r^{2}h[/tex]
r: radius --> 6fth: height --> 6ft[tex]\pi[/tex] = 3.14Volume = [tex]\frac{1}{3} \pi (6)^{2} *6=226.08ft^{3}[/tex]
Hope that helps!
How much will you have in 10 years?
Answer:
$4439.28
Step-by-step explanation:
The future value is computed using the formula ...
FV = P(1 +r/n)^(nt)
where P is the principal invested at annual rate r compounded n times per year for t years.
Using the given values, the future value is ...
FV = $2000(1 +0.08/12)^(12·10) ≈ $4439.28
You will have $4439.28 in the account after 10 years.
Find the arc length of the partial circle
Answer:
11
...
...
...
...
.........
A game you is on sale for 15% off if the regular price is $50.00, how much will u save and what will the total sale price be
Answer:
you will save 7.50$ and the sales price will be 42.50$
Step-by-step explanation:
15% of 50 is 7.5
Billy’s employer pays for 65% of his annual health insurance premium. billy has the rest deducted in equal amounts from his paycheck. if billy has $105.73 withheld from his paychecks twice each month, how much does his employer contribute towards his health insurance on an annual basis? a. $683.18 b. $1,366.36 c. $2,356.27 d. $4,712.54
Billy's total annual health insurance premium is $4,712.54. Then the correct option is D.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
Billy’s employer pays for 65% of his annual health insurance premium.
Billy has the rest deducted in equal amounts from his paycheck.
If billy has $105.73 withheld from his paychecks twice each month.
His employer contributes towards his health insurance on an annual basis.
To get the amount of his employer to contribute towards his health insurance on an annual basis will be
105.73 × 24 = 2537.52
The next step is to calculate Billy's total annual health insurance premium will be
[tex]\rm Health \ insurance \ premium = \dfrac{2537.52 * 0.65}{0.35}\\\\Health \ insurance \ premium = 4712.54[/tex]
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0.32 with the 2 repeating as a fraction
Answer:
29/90
Step-by-step explanation:
Use the formula:
((DN x F) - NRP)/D
DN = Decimal Number
F = 10 if one repeating number, 100 if two repeating numbers, 1000 if three repeating numbers, etc.
NRP = Non-repeating part of decimal number.
D = 9 if one repeating number, 99 if two repeating numbers, 999 if three repeating numbers, etc.
((0.32 x 10) - 0.3)/9
= 2.9/9 = 29/90
What is the approximate length of arc s on the circle? 5. 23 in. 41. 87 in. 52. 36 in. 104. 67 in.
Answer:
need PPO
Step-by-step explanation:
need points I am 5 grade student sorry
Can someone help me with this?
Find sine and cosine if angle C please
Answer: sin=7/13,cos=2.sqrt30/13
Step-by-step explanation:
SOH COH TOA
sin=opp/hyp,cos=adj/hyp
Use pyth. theorem to find the adjacent of C.
13^2 =7^ + b^2
169 = 49 + b^2
120 = b^2
sqrt120 = sqrtb
2.sqrt30 = b is the missing side.
Penelope is now 3 times the age of jaslin. If jaslin will be 12 in 3 years, how many years ago was Penelope 13 years ago?
Answer:
Penelope is 14 years old.
Step-by-step explanation:
- Jaslin is 9 years old (since she'll be 12 in 3 years)
- So, you multiply 9 by 3 (since Penelope is 3 times Jaslin's age), which gives you 27.
- Then minus 13 from 27 (since we're solving for how old Penelope was 13 years ago), which gives you 14
Hope this helps!
The black shoelace is longer than the green shoelace but shorter than the pink shoelace. The green shoelace is longer than the orange shoelace. Which shoelace is shorter, the pink shoelace or the orange shoelace?
Ans The orange shoe lace
Step-by-step explanation:
Is the equation y/x=8 direct variation, inverse variation, or neither? Explain
Answer:
It's a direct variation, as the ratio between x and y is constant
In the given rate of 12,060 cows per 30 farms, what would be the unit rate per farm?
Answer:
402 cows per farm
Step-by-step explanation:
12060/30
=402
A mobile phone costs $320. It is reduced in a sale by 45%. Work out the sale price of the mobile phone.
Answer:
$176
Step-by-step explanation:
Total: $320 Subtract 45%= 0.45 Decimal = 176
what's 5 divided by 3 1/3?
Answer: 3/2
Step-by-step explanation:
We can start by converting 3 1/3 to an improper fraction. Since 3 is equal to 9/3, 3 1/3 would be equal to 9/3 + 1/3 = 10/3.
Therefore, we are doing [tex]\frac{5}{\frac{10}{3}}[/tex].
Dividing 5 by 10/3 is the same as multiplying 5 and the reciprocal of 10/3, which is 3/10.
5*3/10 = 15/10 = 3/2.
(a) Laura owns 6 shares of a certain stock. Yesterday the total value of her shares went down by
24 dollars. What was the change in value for each share?
dollars
Find the perimeter of a rectangle whose length and breadth are 9.6 cm and 7.9 cm respectively.
Question :-
Find the Perimeter of a Ractangle whose Length and Breadth are 9.6 cm and 7.9 cm respectively .Answer :-
Perimeter of a Ractangle is 35 cm .[tex] \rule {210pt} {2pt} [/tex]
Given :-
Length of Rectangle = 9.6 cmBreadth of Rectangle = 7.9 cmTo Find :-
Perimeter of Rectangle = ?Solution :-
As per the provided information in the given question, we have been given that Length of Rectangle is 9.6 cm . Breadth of Rectangle is given 7.9 cm . And, we have been asked to calculate the Perimeter of Rectangle .
For calculating the Perimeter , we will use the Formula :-
[tex] \bigstar \: \: \boxed {\sf { \: Perimeter \: _{Rectangle} = 2 \times [ \: Length + Breadth \: ] \: }} [/tex]
Therefore , by Substituting the given values in the above Formula :-
⇒ Perimeter = 2 × [ Lenght + Breadth ]
⇒ Perimeter = 2 × [ 9.6 + 7.9 ]
⇒ Perimeter = 2 × 17.5
⇒ Perimeter = 35
Hence :-
Perimeter = 35 cm .[tex] \underline {\rule {210pt} {4pt}} [/tex]
Note :-
Kindly scroll the Screen form Right to Left direction for Better View .Which formula should be used to find the area of the composite shape.
Answer:
I don't see the composite shape, but the answer is to find the area of each shape inside the composite shape and add them up to get the total area of the shape.
Step-by-step explanation:
Common math formulas:
Area of a circle: A = [tex]\pi[/tex]r²
Area of a square: A = l × w
Area of a rectangle: A = l × w
Area of a triangle: A = 1/2 of b × h
Find the surface area of a rectangular prism with a length of 13 ft,
width of 8 ft and height of 18 ft.
The largest Ferry in the puget Sound fleet can carry 2,500 passengers every hour
Answer:
A: 2,500×H. B=20,000 passengers
pl.z si.r hel.p m.e math geometry questio.n......
x=65
y=60
p=60
q=65
r=115 How?
[tex]\\ \rm{:}\dashrightarrow p+120=180[/tex]
[tex]\\ \rm{:}\dashrightarrow p=60[/tex]
And
q=65°(Opposite angles are equalNow
[tex]\\ \rm{:}\dashrightarrow r+65=180[/tex]
[tex]\\ \rm{:}\dashrightarrow r=115[/tex]
So
[tex]\\ \rm{:}\dashrightarrow x=q(Opposite interior angles)=65[/tex]
y=p=60°Answer:
p = 60°
r = 115°
q = 65°
y = 60°
x = 65°
Step-by-step explanation:
Linear pair: a pair of adjacent angles formed when two lines intersect. The two angles are always supplementary and so their measures sum to 180°.
Therefore, the linear pairs are:
p + 120° = 180°
⇒ p = 60°
r + 65° = 180°
⇒ r = 115°
-----------------------------------------------------------------------------------
Vertical angle theorem: a pair of opposite angles formed by intersecting lines. Vertical angles are always congruent (equal).
Therefore, the vertical angles are q and 65°:
⇒ q = 65°
-----------------------------------------------------------------------------------
Consecutive interior angle theorem: if a transversal intersects two parallel lines, each pair of consecutive interior angles is supplementary and so their measures sum to 180°.
Therefore, the consecutive interiors angles are:
120° + y = 180°
⇒ y = 60°
x + r = 180°
⇒ x + 115° = 180°
⇒ x = 65°
Manny's Restaurant bought 9 1/4 pounds of onions. The restaurant bought 7 3/4 times as much potatoes as onions. How many pounds of potatoes did the restaurant buy?
Answer:
71.6875 pounds of patatoes.
Step-by-step explanation:
9.25x7.75 = 71.6875
Tyler solved an inequality to determine the number of songs he can buy with a $20 credit at his favorite music website. The solution is graphed below. A number line going from 5 to 13. A solid circle is at 8. Everything to the left of the circle is shaded. Which phrases accurately describe all the possible quantities of songs he can buy? Select two options. No more than 8 songs at least 8 songs a minimum of 8 songs at most 8 songs fewer than 8 songs.
Tyler can buy at most 8 songs.
We have given that,Tyler solved an inequality to determine the number of songs he can buy with a $20 credit at his favorite music website.
What is the meaning of inequality?inequality, In mathematics, a statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.
A number line going from 5 to 13.
A solid circle is at 8.
Therefore,from the given we can say that,
he cannot buy no more than 8 songs.
Therefore,Tyler can buy at most 8 songs.
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Paul has already made 50 cupcakes and bakes 25 cupcakes every hour. Write the equation for this situation.(No spaces between symbols)
Answer:
25*2=50
OR
50/2=25
Step-by-step explanation:
If Paul has made 50 cupcakes so far, that means he's been baking for two hours.
25/hr
50 in total
50/2=25
25*2=50
"John is 3 years older than Mary. Five years ago he was four times as old as Mary was then. How old is John?"
Answer:
9 years old
look at the comment section.
The age of john is 9 years.
What is Algebra?Algebra is a branch of mathematics that deals with symbols and the arithmetic operations across these symbols. These symbols do not have any fixed values and are called variables. In our real-life problems, we often see certain values that keep on changing. But there is a constant need to represent these changing values. Here in algebra, these values are often represented with symbols such as x, y, z, p, or q, and these symbols are called variables. Further, these symbols are manipulated through various arithmetic operations of addition, subtraction, multiplication, and division, with an objective to find the values.
Algebraic ExpressionsAn algebraic expression in algebra is formed using integer constants, variables, and basic arithmetic operations of addition(+), subtraction(-), multiplication(×), and division(/). An example of an algebraic expression is 5x + 6. Here 5 and 6 are fixed numbers and x is a variable.
Given:
John is 3 years older than Mary.
Five years ago he was four times as old as Mary was then.
let the age of mary be x
John's age= x+ 3
Five years age,
Mary's age= x-5
john's age = x-2
So,
x-2= 4( x-5)
x- 2 = 4x- 20
-3x= -18
x=3
Hence, john's age= 9 years
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