the first four terms of the sequence is 51,51.8,52.6,53.4
we can find first four terms by using formula given by
[tex]a_{n} =a_{1} +(n-1) *d[/tex]
[tex]a_{n}[/tex] = the nᵗʰ term in the sequence
[tex]a_{1[/tex] = the first term in the sequence
d = the common difference between terms
Arithmetic progression is a progression in which every term after the first is obtained by adding a constant value, called the common difference (d). So, to find the nth term of an arithmetic progression, we know an = a1 + (n – 1)d. a1 is the first term, a1 + d is the second term, the third term is a1 + 2d, and so on
an=51 + (n-1)*0.8, n=1, 2, 3...
a1 = 51 + (1 -1 ) * 0.8
a1 = 51
a2 = 51 + (2 - 1)*0.8
a2 = 51 + 0.8
a2 = 51.8
a3 = 51 + (3 - 1)*0.8
a3 = 51 + 2*0.8
a3 = 51 + 1.6
a3 = 52.6
a4 = 51 + (4 - 1)*0.8
a4 = 51 + 2.4
a4 = 53.4
Hence , the first four terms of the sequence is 51,51.8,52.6,53.4
the complete question is
Find the first four terms of the sequence given by the following.
an=51 + (n-1)*0.8, n=1, 2, 3...
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Three friends map their houses on a coordinate grid. Alex's house is located at point (7, 18). Jimmy's house is at point (-9, 7). Jimmy's house is located halfway between Alex's house and Kara's house. Which ordered pair represents Kara's house?
A (1, 12.5)
B. (24,-4)
C. (-25,-4)
D. (2,25)
I need help with this math
Answer:
2/4 x 7/10 = 14/40, or 7/20.
5/6 x 3/4 = 15/24, or 5/8
3/4 x 2/3 = 6/12, or 1/2
3/10 x 4/5 = 12/50, or 6/25
i think you can finish the rest, all you have to do is multiply the numerator and the numerator, and the denominator and the denominator.
numerator = number on the top
denominator = number on the bottom
then put the two results:
[numerator x numerator]
____________________
[denominator x denominator]
hope this helped! ^^
Answer:
u can do this u got this
Step-by-step
You have $50 in your bank account. Each week you plan to deposit $6 from your allowance and $20 from your paycheck. The equation b = 60 + (20+6)w gives the amount b in your account after w weeks. How many weeks from now will you have $215 in your bank account?
6 weeks from now, you will have $215 in your bank account
How many weeks from now will you have $215 in your bank account?The given parameters are:
b = 60 + (20+6)w
When the account balance is $215, we have
60 + (20+6)w = 215
Subtract 60 from both sides
(20+6)w = 155
This gives
26w = 155
Divide both sides by 26
w = 5.96
Approximate
w = 6
Hence, 6 weeks from now, you will have $215 in your bank account
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Ed Gregory is surveying technician earning $12. 97 per hour he worked 39 hours last week what was his pay for the week
Answer:
$505.83
Step-by-step explanation:
12.97 × 39 = 505.83
In a recent survey, 65 % of those responding were in favor of recycling. If 780 people were in favor of recycling, then how many responded to the survey?
people who responded to survey are 120
1) Find the missing side length.
х
12 in.
18 in.
Answer:
x = 6[tex]\sqrt{5}[/tex]
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 12² = 18²
x² + 144 = 324 ( subtract 144 from both sides )
x² = 180 ( take the square root of both sides )
x = [tex]\sqrt{180}[/tex]
= [tex]\sqrt{36(5)}[/tex]
= [tex]\sqrt{36}[/tex] × [tex]\sqrt{5}[/tex]
= 6[tex]\sqrt{5}[/tex] ← exact value
Simplify.
Rewrite the expression in the form a^n
α· α· α· α· α· α· α
α· α· α· α· α· α
=
A is 60 miles from B. An automobile at A moves toward B at the rate of 20
miles an hour at the same time that an automobile at B moves toward A at
the rate of 25 miles an hour. How long will it be before the automobiles
meet (in hours)? *
Answer: 1.33 hr
Step-by-step explanation: 20t + 25t=60
45/45 = 60/45
t= 1.33hr
convert 18 1/10 into a decimal.
Answer:
the answer is 18.1 1/10 is the same thing as .1
Can you add 4b + 4m? How do you know? What is this called?
Answer: [ number 1 & 2are a rule of sequence ] 1: Write a rule for the sequence. 2,6,10,14 a; start with two and subtract four repeatedly b; start with four and add two repeatedly ** c; start with two and add four repeatedly d; start with two and add one , add two.
Step-by-step explanation:
Answer:
You can’t add both terms because the coefficients are multiplying different variables. It’s like trying to add apples and oranges together. They are two different things. So is this situation, variables b and m are two different things. Therefore you can’t add them together. This means that you can’t simplify the expression any further. This also means that you can’t combine like terms, because the two terms are unalike.
Hope this helps! :)
What is the answer to 500(59+38)/250?
Find the sum.
3(2 – 0.9h) +(-1.3h – 4) =
Answer:
i believe your answer is... -1.3h - 0.7
Step-by-step explanation:
Answer:
1.3h and mievdhevev
Step-by-step explanation:
bjsjsbfvaidbcrbsi
find value for x please and thank you
Answer:
x = - 3
Step-by-step explanation:
Given
3(x - 6) + 6 = 5x - 6 ← distribute and simplify left side
3x - 18 + 6 = 5x - 6
3x - 12 = 5x - 6 ( subtract 5x from both sides )
- 2x - 12 = - 6 ( add 12 to both sides )
- 2x = 6 ( divide both sides by - 2 )
x = - 3
Help me find the X! UwU..
Well all the angles in a triangle add up too 180º and this triangle is obviously a equilateral triangle (all sides are same) BUT as you see the other people saying X = 60º notice that it says 2 xº meaning that it is X x 2 so 60º is actually wrong :).
If it is X is 60º (since the 3 angles add together since it’s equilateral) then that would be 2 x 60º = 120º times 3 WHICH IS NOT 180.I think U get what I mean now,it’s 2 Xº; so X is 30 because 30 x 2 = 60º and 60 x 3 = 180º!
So Da Answer is X = 30º
Hope this helped :)
Have a great day!
If a triangle has sides of lengths 14 cm and 5 cm, what must the 3rd side 5 points
be smaller than? *
12
19
10
5
-10.2m + -9.1 + -9.1m - 5.8m
Answer:
= −25.1m − 9.1
Step-by-step explanation:
Answer:
-25.1m - 9.1
Step-by-step explanation:
Six times a number is at least four less than eight times the number. If x represents the number, which will help find
the number?
Answer:
The inequation 6x ≥ 8x - 4 can be used to find the solution.
The solution is x ≤ 2
Step-by-step explanation:
In math, 'at least' represents greater or equal than (which is the inequation simbol ≥)
If x represents the number then six times a number is the multiplication of x by 6, and four less than eight times the number can be written as: 8x -4
6x ≥ 8x - 4
Solving the inequation;
Substracting 6x each side:
0 ≥ 8x - 6x -4
Suming 4 each side
4 ≥ 2x
Dividing by 2 each side
2 ≥ x
2 greater or equal than x is the same as:
x ≤ 2
Please Help! Ratio question!
Answer:
10
Step-by-step explanation:
divide 1800 by 20 and 1800 by 18 and find the difference
What’s the value of k ?
Hello!
[tex]\large\boxed{k = 10^{o}}[/tex]
When given two interior angles and an exterior angle, the sum of the two interior angles is equal to the sum of the exterior angle. Therefore:
m∠YZX + m∠ZXY ≅ m∠MYZ
(4k + 5)° + (6k + 10)° = 115°
Combine like terms:
10k + 15 = 115°
Subtract 15 from both sides:
10k = 100°
Divide both sides by 10:
k = 10°
Answer:
k=10
Step-by-step explanation:
First you would find the missing angle at the top this would be 65 degrees, this means that the 2 other missing angles must total to 115 degrees.
Second you would set the equations equal to 115
4k+5+6k+10=115
Then you would combine the like terms
10k+15=115
next you would subtract the 15 from both sides
10k=100
then you divide by 10
k=10
It will take you 10 hours to paint your garage and it will take your brother 15 hours to paint your
garage. How long will it take to paint the garage if the two of you paint together?
they take 6 hours to paint the garage if the two of you paint together.
It will take you 10 hours to paint your garage
it will take your brother 15 hours to paint your garage.
How long will it take to paint the garage if the two of you paint together
Total work = LCM of 10 and 15 = 30 units
now , it will take 10 hours to paint the garage
therefore it one hour efficiency = 30/10 =3 units
similarly your brother take 15 hours to apint the garage
therefore brother one hour efficiency = 30/15 = 2 units
so total one hour efficiency is 5 units
and total work is 30 units and their one hour efficiency is 5 units
therefore they complete the work in 30 /5 = 6 hour
Hence they take 6 hours to paint the garage if the two of you paint together.
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Which expressions are equivalent to 3.64? Check all that apply. 1 36.4 + 10 36.4 x 10 0 0.0364 x 100 [(3 x 1) + (6 x 0.1) + (4 x 0.01)] x 100 O (3 x 1) + (6 * 0.1) + (4 0.01)
Answer:
0.0364 × 100
and
[(3×1)+(6×0.1)+(4×0.01)
ISSS THISSSSS CORRECTTT??????please help
Answer:
I think that is correct, sorry is i get it wrong
CAN SOMEONE ASAP HELP ME PLEASE
Answer:
Step-by-step explanation:
6+11=17/2*8=136/2
68.
Graph a right triangle with the two points forming the hypotenuse.
Using the sides, find the distance between the two points in simplest
radical form. (8,7) and (6,3)
the distance between the points (8, 7) and (6, 3) which is the hypotenuse of the triangle is 2 √ 5 units.
We need to find the distance between two points which is the hypotenuse of the triangle:
(8, 7) and (6, 3)
It can be calculated using distance formula:
D = √ (x₂ - x₁)² + (y₂ - y₁)²
Substituting the values in the formula, we get that:
D = √ (6 - 8)² + (3 - 7)²
D = √ ( - 2 )² + ( - 4 )²
D = √ 4 + 16
D = √ 20
D = 2 √ 5 units
Therefore, we get that, the distance between the points (8, 7) and (6, 3) which is the hypotenuse of the triangle is 2 √ 5 units.
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The owner of a used car lot wants to buy many cars at an auction as he can while not spending more than $20000. If he expects the average price to be $4000, how many would he expect to be able to buy?
Answer:
5
Step-by-step explanation:
Given that:
Total maximum amount that the owner wishes to spend = $20000
Average price of each car = $4000
To find:
How many cars that the owner can expect to buy?
Solution:
Total number of cars that the owner can expect to buy can be found by dividing the total money available with the owner with the average price of each car.
i.e.
[tex]\text{Number of cars expected to be bought} = \dfrac{\text{Total money available with the owner}}{\text{Average Price of car}}[/tex]
We have the following values as given in the question statement:
Total money available = $20000
Average price of car = $4000
Therefore, the answer is:
[tex]\text{Number of cars expected to be bought} = \dfrac{20000}{4000} = \bold{5}[/tex]
The owner can expect to buy 5 number of cars.
What is 73.613 rounded to the nearest whole number?
73
74
76
79
Anil Kumar took a loan of Rs. 20,000 from bank at the rate of 8% per annum. At the end of 2 years, how much compound amount should he pay if the interest was compounding half-yearly?
Anil Kumar should pay a compound amount of Rs. 23,397.12 at the end of 2 years.
Compound interest is a method of calculating interest where the interest earned is added to the principal amount, and the resulting sum becomes the new principal for the next period's interest calculation. This process is repeated until the end of the investment period.
The formula to calculate the compound interest is:
[tex]A = P(1 + r/n)^(^n^t^)[/tex]
Where,
A = Amount after the given time
P = Principal amount (initial investment)
r = Annual interest rate (as a decimal)
n = Number of times the interest is compounded per year
t = Time duration for which the interest is calculated (in years)
In this case, Anil Kumar took a loan of Rs. 20,000 from a bank at the rate of 8% per annum, compounded half-yearly, for 2 years. Therefore, we can plug in the values as follows:
P = Rs. 20,000
r = 8% per annum = 0.08 (as a decimal)
n = 2 (since the interest is compounded half-yearly)
t = 2 years
Now, we can calculate the compound amount using the above formula:
[tex]A = P(1 + r/n)^(^n^t^)[/tex]
[tex]A = 20,000(1 + 0.08/2)^(^4^)[/tex]
[tex]A = 20,000(1 + 0.04)^4[/tex]
[tex]A = 20,000(1.04)^4[/tex]
[tex]A = 23397.1712[/tex]
Therefore, Anil Kumar should pay a compound amount of Rs. 23,397.123 at the end of 2 years.
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The sum of the squares of two different numbers is less than or equal to 49. Twice one of the numbers squared is less than the other number. Which system of inequalities represents these criteria?
Possible answers:
x^2 + y^2 ≤ 49 and 2x^2 < y
x^2 + y^2 ≥ 49 and 2x^2 < y
x^2 + y^2 ≤ 49 and x^2 < 2y
x^2 + y^2 ≥ 49 and x^2 < 2y
This system of inequalities represents is x² + y² ≤ 49 and 2x² < y
What is inequality?
Inequality is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is not equal.
Let the numbers x and y,
According to 1st condition,
The sum of the squares of two different numbers is less than or equal to 49 :
x² + y² ≤ 49
According to 2nd condition,
Twice one of the numbers squared is less than the other number :
2x² < y
Hence, this system of inequalities represents is x² + y² ≤ 49 and 2x² < y
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2. Tommy needs a loan in order to buy an RV. The bank offers
Tommy a 10,500 loan for 66 months loan at 4 5/8% annual
compound interest. Determine the amount of interest and total
Tommy will have to pay back.
Answer:
Step-by-step explanation:
Help will give brainiest and 20 points, please answer thoroughly and explain ur steps. If you don’t answer properly I will report. The data is shown above, here is the question:
What types of graph could be used to display the data? Explain