The 34th term of the sequence 158, 155, 152 ...... is 59
The sequence is as follows:
158, 155, 152 ......
let
a = first term = 158
d = common difference = 155 - 158 = -3
Using Arithmetic progression formula, let's find the 34th term as follows:
aₙ = a + (n - 1)d
a₃₄ = 158 + (34 - 1)-3
a₃₄ = 158 + (33)(-3)
a₃₄ = 158 - 99
a₃₄ = 59
Therefore, the 34th term of the sequence is 59.
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Colin invests £2350 into a savings account. The bank gives 4.2% compound
interest for the first 4 years and 4.9% thereafter. How much will Colin have after
10 years to the nearest pound?
Answer:
Answer:
£3692
Step-by-step explanation:
A = p(1 + r/n)^nt
Where,
A = future value
P = principal = £2350
r = interest rate = 4.2% = 0.042
n = number of periods = 1(annual)
t = time = 4 years
A = p(1 + r/n)^nt
= 2350(1 + 0.042/1)^1*4
= 2350(1 + 0.042)^4
= 2350(1.042)^4
= 2350(1.5789)
= 2770.42
A = £2770.42
Total years = 10
Remaining years = 10 – 4
= 6 years
Remaining 6 years
P = £2770.42
r = 4.9% = 0.049
n = 1
t = 6
A = p(1 + r/n)^nt
= 2770.42(1 + 0.049/1)^1*6
= 2770.42(1 + 0.049)^6
= 2770.42(1.049)^6
= 2770.42(1.3325)
= 3691.59
A = £3691.59
Approximately £3692
Thank you!
Solve the system of equations - 2x + 2y = 2 and - x + 3y = –17 by
combining the equations.
Answer:
x=-10, y=-9. (-10, -9).
Step-by-step explanation:
-2x+2y=2
-x+3y=-17
----------------
-2x+2y=2
-2(-x+3y)=-2(-17)
-------------------------
-2x+2y=2
2x-6y=34
----------------
-4y=36
y=36/-4
y=-9
-x+3(-9)=-17
-x-27=-17
-x=-17+27
-x=10
x=-10
A lifeguard received 15 hours of first aid training and 10 hours of CPR training. What is the ratio of hours of CPR training to hours of first aid training?
Answer:
The ratio of hours of CPR training to hours of first aid training is 10:15
Step-by-step explanation:
Please help me its due tommorow
Answer:
read below for answers
Step-by-step explanation:
7. 4d + 6 =42
d = 9
8. -3y + 12 = -48
y = 20
9. k/2 + 9 = 30
k = 42
10. g/3 - 7 = 15
g = 66
11. z/5 + 3 = -35
z = -190
12. -9h - 15 = 93
h = -12
13. -3(n + 5) = 12
n = -9
14. -17 + b/8 = 13
b = -32
15. 7( c- 12 ) = -21
c = 9
16. -3 + p/7 = -5
p = -14
17. 46 = -6t - 8
t = -9
HELPPPPPP PLLSLLSLSLLSSS!!!
Cereal is on sale this week. Is it a better buy to get the 10-ounce box for $1.95 or the 14-ounce box for $2.81?
Answer:
It is better to buy the 10-ounce box for $1.95
Step-by-step explanation:
1.) Set up a ratio to represent this problem.
Ounces : Price
10 : 1.95
14 : 2.81
2.) Find the unit price for the first ratio.
10 : 1.95
/10 /10
1 : 0.195
This means that a one-ounce box of cereal will cost $0.12
3.) Find the unit price for the second ratio.
14 : 2.81
/14 /14
1 : 0.20071428571
This means that a one-ounce box of cereal will cost $0.20
4.) Compare prices
$0.12 < $0.20
Therefore, it is better to buy the 10-ounce box for $1.95.
© There is a bag with only milk and dark chocolates.
5
The probability of randomly choosing a dark chocolate is
5/12
There are 25 dark chocolates in the bag and each is equally likely to be chosen.
Work out how many milk chocolates there must be.
Answer:
I think it's 35, because if there's 25 dark and you divide 25 by 5 you get 5, so 1/12 is equal to 5
Hayley is considering two gym membership plans. The plans are detailed here.
HELP ASAP 10 POINTS
Plan One: $40 for a monthly pass plus $4 for each gym visit
Plan Two: $12 for each gym visit.
Which equation expresses the situation in the form of y=mx+b where x is the number of gym visits per year and y is the total cost per month for Plan One?
Answer:
aye she probally not gonna go every day she polly gonna got twice so just pay 4 every visit
Step-by-step explanation:
carl plays a game with his friend. their scores are 2,9,17, 18, and 15. what is the median score of their games? Need answer asap thanks
Answer:
15
Step-by-step explanation:
Order
2, 9, 15, 17, 18
Find Median Position
Use the formula
[tex] \frac{n + 1}{2} [/tex]
where n is the number of numbers.
Substituting in, 5 + 1 is 6, divided by 2 is 3.
Find the number at the correct position
15
How do I simplify the expression 7^0+7^2 over (7^3)^2
[tex]\frac{7^0+7^2}{(7^3)^2}=\frac{1+49}{7^6} = \frac{50}{117649}[/tex]
Ok done. Thank to me :>
A researcher is comparing the effectiveness of three devices designed to help people who snore. There are 210 people who snore participating in the experiment. Using a table of random digits starting from the first row and column, the researcher will randomly place the participants into three equally sized treatment groups suitable for comparison.
Which number range would be needed to label the subjects correctly?
0–2
1–3
000–210
001–210
The range would be needed to label the subjects correctly is 000-210.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Given that a researcher is comparing the effectiveness of three devices.
There are 210 people who snore participating in the experiment
The researcher will randomly place the participants into three equally sized treatment groups suitable for comparison.
We need to find the range which would be needed to label the subjects correctly.
210 people are participating in experiment
We need to label subjects from 001 to 210
Since there is no value in using 000 to indicate someone.
Hence, 000–210 is the range would be needed to label the subjects correctly.
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Please help me I really such at geometry
Answer:
EF, DE, DF
Step-by-step explanation:
Answer:
EF DE DF
Step-by-step explanation:
Classify the following triangle as acute, obtuse, or right.
O A. Acute
O B. Obtuse
O C. Right
O D. None of these
Answer:
It is an obtuse angle so correct
The given triangle is an obtuse angle triangle.
The correct option is (B).
What is a Triangle?A triangle in geometry is a three-sided polygon with three edges and three vertices.
As per the given data in the diagram:
We are given a triangle and all the angles of the triangle are also given.
We have to find out the type of the triangle.
If all angles of a triangle are less than 90°, then it's an acute angle triangle.
If any angle of the triangle is greater than 90°, then it's an obtuse angle triangle.
If any angle of the triangle is equal to 90°, then it's a right angle triangle.
For the given triangle:
30° < 90°
24° < 90°
126° > 90°
The given triangle is an obtuse angle triangle.
Hence, the given triangle is an obtuse angle triangle.
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Which statement is true about the equation 4.5z = 4.5z − 4.25 + 6.25? It has no solution. It has one solution. It has two solutions. It has infinitely many solutions.
Answer:
it has infinitely many solutions
Step-by-step explanation:
hope it help bro
Answer:
d
Step-by-step explanation:
through:(-3,-1), slope=4/3
Answer:
I need more info
Step-by-step explanation:
Solve for the missing side length for the triangle below
hey guys , can you help me with this question please … i seriously don’t wanna fail this
Answer:
48
Step-by-step explanation:
You get the third length which is the hypotenuse then you add them all since its asking for the perimeter
Help me solve this please!
Answer:
x=15
Step-by-step explanation:
if you put 8x-10=110 you can solve for x and get 15. this only works because they are opposite & congruent sides
GIVING BRAINLIEST
What is the solution to the system of equations graphed below?
Answer:
(2,-3)
Step-by-step explanation:
The solution of two equations graphed is their intersection point.
Which would be (2,-3)
Calculate the area of trapezium CDEF.
Answer:
i think 24 cm² is answer good luck
David is making rice for his guests based on a recipe that requires rice, water, and a special blend of spice, where the rice-to-spice ratio is 15:115:115, colon, 1. He currently has 404040 grams of the spice blend, and he can go buy more if necessary. He wants to make 101010 servings, where each serving has 757575 grams of rice. Overall, David spends 4.504.504, point, 50 dollars on rice.
What is the price of rice per gram?
dollars per gram of rice
Answer:
Price of rice per gram = $ 0.006 per gram or 0.6 cents per gram .
Step-by-step explanation:
Given: David wants to make 10 servings, where each serving has 75 grams of rice.
Total quantity of rice required = 10 x 75 = 750 grams
Overall, David spends 4.50 dollars on rice.
i.e. cost of 750 grams of rice = 4.50 dollars
Price of rice per gram =(cost of 750 grams of rice ) ÷ 750
= (4.50 dollars ) ÷ 750
= $ 0.006 per gram.
Price of rice per gram = $ 0.006 per gram.
Answer:
0.006
Step-by-step explanation:
In the sequence
1,2,2,4,8,32,256,...
each term (starting from the third term) is the product of the two terms before it. For example, the seventh term is 256, which is the product of the fifth term (8) and the sixth term (32).
This sequence can be continued forever, though the numbers very quickly grow enormous! (For example, the 14th term is close to some estimates of the number of particles in the observable universe.)
What is the last digit of the 35th term of the sequence?
Answer: 8
Step-by-step explanation:
Sequence: 1,2,2,4,8,32,256
After the first digit, the repeated pattern for the last digit is 2,2,4,8,2,6
So, the 35 term's final digit will be 8
What is 35 + 34 ? I cant use calcu pls help me
Answer:
the answer is 69
Step-by-step explanation:
for your answer you need to understand fast that when you add 34 and 35 what will be the answer you need to think that your answer will be cirrect or not and its very easy question
Someone plz help :(
Side Lengths Angle Measures
6.6 in. 45∘
9.4 in. 90∘
6.6 in. 45∘
Based on the measurements, which answer best describes the triangle?
obtuse scalene triangle
obtuse isosceles triangle
acute scalene triangle
right isosceles triangle
right scalene triangle
right equilateral triangle
acute isosceles triangle
[tex]\huge \bf༆ Answer ༄[/tex]
According to the given information, The Triangle should be ~
[tex] \sf Right \: \: Isosceles \: \: triangle [/tex]It's because the Triangle has two equal sides 6.6 inches each. and One right angle (90°) ~
A hot-air balloon is tied to the ground with two taut ropes. One rope is directly under the balloon and makes a right angle with the ground. The other rope forms an angle of 60º with the ground. Which statements are correct?
A) d ≈ 60 ft.
B) d ≈ 66 ft.
C) h ≈ 104 ft.
D) h ≈ 108 ft.
E) angle of depression = 30°
Answer:
d ≈ 60 ft., h ≈ 104 ft.
Step-by-step explanation:
Additionally: angle of depression = 60°
The angle of elevation and the angle of depression are congruent.
Hi!! So I am doing test corrections for a test that I did bad on but I need to know what is the equation for this??
Answer:
u can use fraction calculator
Step-by-step explanation:
just go and search 'fraction calculator'
If someone is traveling 3mi per 15 mins how far do they go in 1min?
Answer:
0.2 mi
Step-by-step explanation:
3 mi for 15 min
so divide 3 mi by 15 min = 0.2
Which function defines the sequence
simplified - 6, -10, -14, -18, ...,
where f (1) = -6 ?
Choose:
An = n - 26
An = 4n - 2
An = -n + 32
An = -4n - 2
I’m getting really stuck on these questions, help?
Answer:
m<-1 and 13/15
Step-by-step explanation:
2x^2
When x is equal to -3
Answer:
18
Step-by-step explanation:
Substitute x = - 3 into the expression
2x²
= 2(- 3)²
= 2 × 9
= 18
what is the slop of the line 2x - 5y=9
The slope is 2The slope is 2The slope is 2The slope is 2The slope is 2The slope is 2
Answer:
(5,2)
Step-by-step explanation: