Answer:
1st term = 7, 2nd term = 18, 3rd term = 39, 10th term = 403
Step-by-step explanation:
To find the 1st term substitute 1 for n in the equation:
4(1)² + 1 = (4 × 1) + 3 = 4 + 3 = 7
To find the 2nd term substitute 2 for n in the equation:
4(2)² + 3 = (4 × 4) + 3 = 16 + 3 = 18
To find the 3rd term substitute 3 for n in the equation:
4(3)² + 3 = (4 × 9) + 3 = 36 + 3 = 39
To find the 10th term substitute 10 for n in the equation:
4(10)² + 10 = (4 × 100) + 3 = 400 + 3 = 403
Hope this helps!
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!
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
A bird drops a stick to the ground from a height of 70ft. The function h = -16t^2 + 70 gives the stick's approximate height h above the ground, in feet, after t seconds. Graph the function. At about what time does the stick hit the ground?
Answer:
√ 80/16=t t=0.5590169943749474
Step-by-step explanation:
The function h(t) = -16t^2 + 70 is a quadratic function, and the stick hits the ground at about 2.092 seconds
Here, we have,
to determine the time it hits the ground:
The function is given as:
h(t) = -16t^2 + 70
Next, we plot the graph of the function h(t)
From the graph of the function h(t) (see attachment), we have the following highlight:
t = -2.092 and t = 2.092 when h(t) = 0
Time cannot be negative.
So, we have:
t = 2.092
This means that the stick hits the ground at about 2.165 seconds
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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]
More about the percentage link is given below.
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Is this correct? If not what is the correct answer
Answer:
it would be the first one
Step-by-step explanation:
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.
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!
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 .Find the equation of a line that passes through the point (3,4) and has a gradient of 1/3. Leave your answer in the form y=mx+c
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
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 inequality?
The movie will be a maximum of 90 minutes long.
Answer:
it should be 1 hour 30 min long (maybe)
Step-by-step explanation:
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.
Can someone help me with this?
"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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There are 100 bacteria in a jar. Every day, the number of bacteria increases 25%. In approximately how many days will there be 500 bactria in the jar? Pick the closest answer.
A. 3
B. 12
C. 10
D. 2
E. 7
Answer:
E. 7
Step-by-step explanation:
General form of exponential equation: [tex]y=ab^x[/tex]
where [tex]a[/tex] is the initial value, [tex]b[/tex] is the growth/decay rate, and [tex]x[/tex] is time.
Given:
[tex]a[/tex] = 100 bacteria[tex]b[/tex] = 25% increase = 1.25[tex]x[/tex] = number of days⇒ [tex]y=100 \cdot 1.25^x[/tex]
If y = 500, then:
[tex]\implies 500=100 \cdot 1.25^x[/tex]
[tex]\implies 5=1.25^x[/tex]
[tex]\implies \ln5=\ln1.25^x[/tex]
[tex]\implies \ln5=x\ln1.25^[/tex]
[tex]\implies x=\dfrac{\ln5}{\ln1.25}[/tex]
[tex]\implies x=7.212567439...[/tex]
[tex]\implies x \approx7[/tex]
when 25 percent is allowed,a customer pays Rs 1680 to buy a watch.Find the cost of the watch before the discount.
Answer:
nobody knows, go to a shop
Step-by-step explanation:
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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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°
(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
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.
Can the side lengths of 4, 8, and 14 form a triangle?
Answer:
No.
Step-by-step explanation:
8+4, the sides is not greater than 14, so no.
Expand
3(x + 4)
Could you explain the answer as well and I hope u have an amazing day if your reading this<33
Answer:
See below.
Step-by-step explanation:
3(x+4)
You multiply 3 by all of the terms in the parenthesis.
3*x and 3*4
The simplified product is 3x+12.
-hope it 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:
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.
One sponsor will donate $80 just for entering the race. Another sponsor will donate $12 for each mile she walks. How many miles should she walk if she wants to raise exactly $200 from those two sponsors?
Answer:
10 miles
Step-by-step explanation:
first you subtract 80 from 200
200-80= 120
then you divide 120 by 12
120/12= 10
she will need to walk 10 miles in order to raise 200 dollars
hope this helped!
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
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 arc length of the partial circle
Answer:
11
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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