Step-by-step explanation:
arithmetic sequence : every new item of the sequence is created by adding a constant term to the previous item - in this case 195.
a1 = 3087 (that's our starting value)
a2 = a1 + 195
a3 = a2 + 195 = a1 + 2×195
an = a1 + (n-1)×195
a)
when he is 45 years old, that is 20 years (and 20 annual increments) plus to our starting value.
so, n = 1+20 = 21
a21 = a1 + 20×195 = 3087 + 20×195 = 6987
so, when he is 45 years old, his monthly salary will be RM6,987
b)
how many years (= how big is n) until he gets 8937 ?
8937 = a1 + (n-1)×195 = 3087 + (n-1)×195 =
= 3087 + n×195 - 195 = 2892 + n×195
6045 = n×195
n = 6045/195 = 31
so, a31 = 8937
and that means, he has to work 30 additional years (31 minus the starting level 1) to earn monthly RM8,937.
that means he will be 25+30 = 55 years old.
Write True or False for each statement.
(a) A square is a special rectangle.
true or false?
(b) The diagonals of a rhombus are equal in length.
true or false?
(c) A kite has both pairs of opposite angles equal.
true or false?
Answer:
A) true
B) true
C) true
hope that helps :)
Can someone please help me with this problem
Answer:
A is the right one
Step-by-step explanation:
if not I'm sorry I'm here to help
If a motorist asks for ten dollars
worth of gasoline and gasoline
is selling at $1.29 per gallon,
find the number of gallons she
will receive, to the nearest tenth
of a gallon.
what is the product of 1/2 and 3/5 ?
Answer:
3/10
I think??
Answer:
The answer is 0.3
don't really have a step-by-step explanation just either look it up or do it on a calculator
solve pls brainliest
Answer:
(1,6)
Step-by-step explanation:
all u gotta do is look at the graph, the school is at x=1 and y=6 so therefore (1,6)
Answer:
(1,6)
Step-by-step explanation:
A stadium has 10,500 seats and 8 VIP boxes. The stadium is divided into 12 equal
sections: 2 premium sections and 10 standard sections. A seat at the premium section
costs $48 per game. A seat at the standard section costs $27 per game.
1. How many seats are there in each section?
2.
If there are 35 seats in each row, how many rows are in each section?
3.
If all the seats in the premium section are sold out for a game, how much will the
stadium get from those ticket sales?
Answer:
omg so many Q's
Step-by-step explanation:
2=8−6/4x help please yall whats the x
Answer:
x= 4
Step-by-step explanation:
How to solve your problem
Topics: Algebra
2=8−1⋅64⋅
2=8-1 \cdot \frac{6}{4} \cdot x
2=8−1⋅46⋅x
Solve
Divide the numbers
2=8−1⋅64⋅
2=8-1 \cdot {\color{#c92786}{\frac{6}{4}}} \cdot x
2=8−1⋅46⋅x
2=8−1⋅32
2=8-1 \cdot {\color{#c92786}{\frac{3}{2}}}x
2=8−1⋅23x
Multiply the numbers
2=8−1⋅32
2=8{\color{#c92786}{-1}} \cdot {\color{#c92786}{\frac{3}{2}}}x
2=8−1⋅23x
2=8−32
2=8{\color{#c92786}{-\frac{3}{2}}}x
2=8−23x
Combine multiplied terms into a single fraction
2=8−32
2=8-\frac{3}{2}x
2=8−23x
2=8+−3 2
2=8+\frac{-3x}{2}
2=8+2−3x
Find common denominator
2=8+−3 2
2=8+\frac{-3x}{2}
2=8+2−3x 2 =2⋅82+−3 2
2=\frac{2 \cdot 8}{2}+\frac{-3x}{2}
2=22⋅8+2−3x
Combine fractions with common denominator
2=2⋅82+−3 2
2=\frac{2 \cdot 8}{2}+\frac{-3x}{2}
2=22⋅8+2−3x
2=2⋅8−3 2
2=\frac{2 \cdot 8-3x}{2}
2=22⋅8−3x
Multiply the numbers
2=2⋅8-3 2
2=\frac{{\color{#c92786}{2}} \cdot {\color{#c92786}{8}}-3x}{2}
2=22⋅8−3x 2=16−3 2
2=\frac{{\color{#c92786}{16}}-3x}{2}
2=216−3x
Rearrange terms
2=16−3 2
2=\frac{{\color{#c92786}{16-3x}}}{2}
2=2 16−3x 2=−3+16 2
2=\frac{{\color{#c92786}{-3x+16}}}{2}
2=2−3x+16
Multiply all terms by the same value to eliminate fraction denominators
2=−3+16 2 2=\frac{-3x+16}{2}
2=2−3x+16
2⋅2=2(−3+16 2)
2 \cdot 2=2(\frac{-3x+16}{2})
2⋅2=2(2−3x+16)
Cancel multiplied terms that are in the denominator
2⋅2=2(−3+16 2)
2 \cdot 2=2(\frac{-3x+16}{2})
2⋅2=2(2−3x+16)
2⋅2=−3+16
2 \cdot 2=-3x+16
2⋅2=−3x+16
Multiply the numbers
2⋅2=−3+16
{\color{#c92786}{2}} \cdot {\color{#c92786}{2}}=-3x+16
2⋅2=−3x+16
4=−3+16
{\color{#c92786}{4}}=-3x+16
4=−3x+16
Subtract
16
from both sides of the equation
4=−3x+16
4−16=−3+16−16
4{\color{#c92786}{-16}}=-3x+16{\color{#c92786}{-16}}
4−16=−3x+16−16
Simplify
Subtract the numbers
−12=−3
Divide both sides of the equation by the same term
−12=−3
\frac{-12}{{\color{#c92786}{-3}}}=\frac{-3x}{{\color{#c92786}{-3}}}
−3−12=−3−3x
Simplify
Divide the numbers
Cancel terms that are in both the numerator and denominator
Move the variable to the left
= 4
solve pls brainliest
Answer:
a. 9m/s × 27s = 243m
b. -6°C/3hrs = -2°C/hr
What is the time in minutes, taken to cover 8.1
km at an average speed of 5 m/s?
Answer:
27 minutes
Step-by-step explanation:
(8.1 km)×(1000 m)/(1 km)/(5 m/s)×(1 min/(60 s) = (8.1×1000)/(5×60) min8100/300=27 min6. Three cards are drawn from an ordinary deck and not replaced. What is the
probability of getting 3 spades?
We want to find the probability of randomly drawing 3 spades from a standard deck.
The probability of getting 3 spades is 0.0129
Let's see how to get that probability.
A standard deck has 52 cards, 13 of them are spades.
The probability of randomly drawing a spade card is given by the quotient between the number of spades and the total number of cards.
So for the first spade card, the probability is:
p = 13/52
For the second card, take in mind that we already drew a spade card, so now there are 12 spade cards and 51 cards in total, so we have:
q = 12/51
For the final card, there will be 11 spade cards and 50 cards in total, but we will have:
k = 11/50
The joint probability (this is, the probability of getting the 3 spade cards one after the other) is equal to the product of the individual probabilities, so we will get:
P = p*k*q = (13/52)*(12/51)*(11/50) = 0.0129
The probability of getting 3 spades is 0.0129
If you want to learn more, you can read:
https://brainly.com/question/1349408
Need help with math problem
Answer:
1/7
Step-by-step explanation:
Sana nakatutulong
#Carry on learning
Answer:
I Don't know if this is correct!
Step-by-step explanation:
1/7 of boys are not bringing their lunch as you can see.
I think it is 2/7
The ____ juice is made with a greater percent of water.
Answer:
Orange and apple
Step-by-step explanation:
Mark brainliest, isaac farts all the time u don’t want him to fart on u next
"The sum of a number and 7 divided by -3, is 2."
What is the length of ef in the right triangle below?
Answer: A
Step-by-step explanation:
Using pythagoras;
[tex]25 = \sqrt{7^{2}+ x^{2} }\\25^{2}=7^{2} +x^{2} \\625 = 49 +x^{2} \\576 = x^{2} \\x = 24[/tex]
Please give me a brainliest answer
Answer:
24Step-by-step explanation:
The Pythagoras theorem formula states that in a right triangle ABC, the square of the hypotenuse is equal to the sum of the square of the other two legs. If AB, BC, and AC are the sides of the triangle, then: BC2 = AB2 + AC2. While if a, b, and c are the sides of the triangle, then c2 = a2 + b2.
√(25²-7²) =
√(625-49)=
√576=
24
a) What is the equation of the function
b) Compare the graph to f(x)=2(x+1)^2
The sum of three consecutive even integers is -78. What is the smallest integer? Show all working outs (5)
Answer:
The smallest integer is -27 and the integers are -27, -26, and -25
Step-by-step explanation:
We can represent this with:
x + x - 1 + x - 2 = -78
Simplify.
3x - 3 = -78
Add 3 to both sides.
3x = -75
Divide both sides by 3.
x = -25
So, the first integer is -25.
Subtract two to get the smallest integer.
-25 - 2 = - 27
equation of the parabola in vertex form that passes through (4,-7) and has a vertex of (1,-6)
[tex]y = -\frac{1}{9}(x - 1)^2 - 6[/tex]
Step-by-step explanation:
The vertex form of the equation for a parabola is given by
[tex]y = a(x - h)^2 + k[/tex]
where (h, k) are the coordinates of the parabola's vertex. Since the vertex is at (1, -6), we can write the equation as
[tex]y = a(x - 1)^2 - 6[/tex]
Also, since the parabola passes through (4, -7), we can use this to find the value for a:
[tex]-7 = a(4 - 1)^2 - 6 \Rightarrow -7 = 9a - 6[/tex]
or
[tex]a = -\frac{1}{9}[/tex]
Therefore, the equation of the parabola is
[tex]y = -\frac{1}{9}(x - 1)^2 - 6[/tex]
/////////////////////////////////////////////////
Answer:
341Step-by-step explanation:
We observe the pattern:
1, 5, 13, 25, ..It can be put as:
0 + 1, 1 + 4, 4 + 9, 9 + 16, ..or
0² + 1², 1² + 2², 2² + 3², 3² + 4², ..The nth term is going to be:
(n - 1)² + n²The sum of the 31 terms will be:
N = 0² + 1² + 1² + 2² + 2² + 3² + 3² + ... + 30² + 30² + 31²or
N = 2(1² + 2² + 3² + ... + 30²) + 31²Use the formula for sum of the first n squares:
1² + 2² + 3² + ... + n² = n(n + 1)(2n + 1)/6The sum N equals:
N = 2(30*31*61)/6 + 31² = 10*31*61 + 31²And the value of N/31 is:
10*31 + 31 = 341the equation for the vertical line that goes through point V (−5, 17).
Answer:
The answer to the above question is x = -5
What is the rational roots of 4x^3+9x^2-x+10=0
9514 1404 393
Answer:
±1/4, ±1/2, ±1, ±5/4, ±2, ±5/2, ±5, ±10
Step-by-step explanation:
The rational root theorem tells you possible rational roots of this equation would be ...
±(divisor of 10)/(divisor of 4)
The divisors of 10 are 1, 2, 5, 10. The divisors of 4 are 1, 2, 4. Then the possible rational roots are ...
±1/4, ±1/2, ±1, ±5/4, ±2, ±5/2, ±5, ±10
_____
This particular cubic has one irrational real root near -2.689. It has no rational roots.
Help with test review homework please.
Answer:
11p^(13)
10m^(15)
Step-by-step explanation:
11×11=121 so sqrt(121)=11
Since 26/2=13, then p^(13)×p^(13)=p^(26). This implies sqrt(p^26)=p^13.
sqrt(121p^26)=11p^(13)
In short, you just find sqrt of 121 since 121 is a perfect square and then do p^(26/2) since 26 is even and be done.
Other problem is similar.
Sqrt(100)=10 and m^(30/2)=m^(15).
The answer is 10m^(15).
Mary found a pair of boots that cost $60 sales tax is 7% what is the total price Mary will pay for the boots?
Answer:
2 Hola cómo estás mi amigo
Answer:
sale price SP= cost + sales tax
SP= 60 + 7% of 60
SP= 60+4.2
SP= $64.2
Find y' when y = (1/x) + tanx
Answer:
[tex]( - 1 \div x^{2} ) + sec ^{2} [/tex]
Can someone help me and explain on paper , I’m still so confused
Answer:
Your answer is -5
Step-by-step explanation:
On paper;
Footlocker and Footaction are each having a sell on all of the latest name brand shoes. At Footlocker, you can get 2 pairs of Nikes for $69.98. At Footaction you can get 3 pair of shoes for $99.99
Answer:
I'm not sure what this is asking but footaction is cheaper
Step-by-step explanation:
footlocker the shoes (single pair) is 69.98/2 or 34.99
footaction is 99.99/3 or 33.33
A maintenance warranty for solar heaters cost $50 a month plus a one time $15 processing fee. Complete the table to determine the total cost for different number of months.
Answer:
50+15=65
Step-by-step explanation:
I know because it says total
Please answer. Don't spam!
Hello Gumiho!
[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]
Find the distance.
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
Refer to the attached picture for the steps.
Answer :- The answer will be (c) [tex]\boxed{\boxed{\tt\sqrt{a^{2} + b^{2}}}}[/tex]
__________________
Hope it'll help you!
ℓu¢αzz ッ
Which of the following fractions is equivalent to 4/20? 1/10
3/15
3/19
2/12
Answer:
your answer is 3/15
Step-by-step explanation:
if im wrong pls let me know
Blaine subtracted 340,139 from 601,800 Is Blaine's answer correct? If not, explain why and write the correct answers.
Answer:
fsuu vvv
Step-by-step explanation:
gdcytzvnvdezcghiyyk for giving biscuits vicbeddings vicbeddings vicbeddings
The directions on a sewing pattern say to cut an extra 15% of fabric to account for error.
Chloe needs 0.75 yardof fabric to make a skirt, and she cuts 0.1125 yard.
Did Chloe cut the correct amount of fabric? Why or why not?
9514 1404 393
Answer:
no; the yardage should be more than 0.75 yards
Step-by-step explanation:
A value that is 15% more than 0.75 will be a number that is greater than 0.75. The number 0.1125 is much less than 0.75, so cannot be the correct amount of fabric.
Chloe did not cut the correct amount.
(the correct amount is 0.8625 yards)
_____
Additional comment
Often, all that is needed for answering a multiple choice question properly is ...
a) an understanding of what the question is asking
b) comprehension of what the answer must look like.
Here, the directions are saying to cut more than 0.75 yards. The result will be a value that is more than 0.75 (and less than 1).
The value 0.1125 yard is 15% of 0.75 yard. The cut amount should be that much in addition to 0.75 yard: 0.75 +0.1125 = 0.8625 yard.
