Answer:
1/8
Step-by-step explanation:
1/4 ÷ 2
copy dot flip
1/4 * 1/2
1/8
You have $1,900 in savings for retirement. If your investments earn 8% annually, how much will you have in your retirement account in 6 years?
Answer:
$3,015
Step-by-step explanation:
To determine the amount that you will have in 6 years, you have to use the formula to calculate the future value:
FV=PV*(1+i)^n
FV= future value
PV= present value= $1,900
i= interest rate= 8%
n= number of periods of time= 6 years
FV=1,900*(1+0.08)^6
FV=1,900*(1.08)^6
FV=3,015
According to this, the answer is that in 6 years you will have $3,015 in your retirement account.
The projected worth (in millions of dollars) of a large company is modeled by the equation w=
256(1.09)t The variable t represents the number of years since 2000. What is the projected annual
percent of growth, and what should the company be worth in 2008?
Answer:
510.10
Step-by-step explanation:
Notice the common ratio 0.09, which is also the projected annual growth rate.
In 2008, 8 years after 2000, the company's net worth should be
w(8) = 256(1.09)^8 = 510.10
Answer:
i think it's 510.10
Step-by-step explanation:
You see the common ratio 0.09, which is also the projected annual growth rate.
In 2008, 8 years after 2000, the company's net worth should be
w(8) = 256(1.09)^8 = 510.10
Step-by-step explanation:
hope this helps!
which equation is equivalent to the given equation? x^2+16x=22
a. (x+8)^2=86
b. (x+8)^2=38
c. (x+16)^2= 278
d. (x+4)^2= 22
Answer:answer is a (x+8)^2=86
Step-by-step explanation:
x+8=±√
86
2 Break down the problem into these 2 equations.
x+8=\sqrt{86}x+8=√
86
x+8=-\sqrt{86}x+8=−√
86
3 Solve the 1st equation: x+8=\sqrt{86}x+8=√
86
.
x=\sqrt{86}-8x=√
86
−8
4 Solve the 2nd equation: x+8=-\sqrt{86}x+8=−√
86
.
x=-\sqrt{86}-8x=−√
86
−8
5 Collect all solutions.
x=\sqrt{86}-8,-\sqrt{86}-8x=√
86
−8,−√
86
−8
x
2
+16x−22=0
2 Use the Quadratic Formula.
x=\frac{-16+2\sqrt{86}}{2},\frac{-16-2\sqrt{86}}{2}x=
2
−16+2√
86
,
2
−16−2√
86
3 Simplify solutions.
x=-8+\sqrt{86},-8-\sqrt{86}x=−8+√
86
,−8−√
86
The equivalent equation x² + 16x = 22 will be (x + 8)² = 86. Then the correct option is A.
What is an equivalent expression?The equivalent is the expressions that are in different forms but are equal to the same value.
The equation is given below.
x² + 16x = 22
Add both side 64.
x² + 16x + 64 = 22 + 64
(x + 8)² = 86
Then the correct option is A.
More about the equivalent link is given below.
https://brainly.com/question/889935
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Which is the recursive formula for the explicitly defined sequence?
an = 8n-3
Answer : [tex]a_{n+1}=a_n+8[/tex]
Step-by-step explanation:
The given explicit formula : [tex]a_n=8n-3[/tex] , where n is a natural number.
At n=1 , [tex]a_1=8-3=5[/tex]
At n=2, [tex]a_2=8(2)-3=16-3=13[/tex]
At n=3 , [tex]a_3=8(3)-3=24-3=21[/tex]
We can see the common difference is 8.
So we can write [tex]a_{n+1}=a_n+8[/tex]
Hence, the recursive formula for the explicitly defined sequence is [tex]a_{n+1}=a_n+8[/tex]
What is 14jk/21j simplified in algebraic expressions? (PLS ANSWER QUICK)
Answer:
[tex] \boxed{ \bold{ \frac{2k}{3} }}[/tex]Step-by-step explanation:
[tex] \sf{\frac{14jk}{21j} }[/tex]
Reduce the fraction with j
Similarly, Reduce the fraction with 7
⇒[tex] \sf{ \frac{2k}{3} }[/tex]
Hope I helped!
Best regards!!
Mr. Warren Buffett invested $20 000. Part of it he put in the bank at 5% interest. Part of it he invested in
bonds which pay a 7% return. How much money did he put in each vehicle, if his annual income from these
investments was $1200?
Answer:
Vehicle one he put $10000
Vehicle two he put $1000
Step-by-step explanation:
Interest= PRT/100
Interested= x
P1 +P2= $20000
X1+x2= $1200
R1= 5%
R2= 7%
(P1*5*1)/100= X1
5p1=100 X1.....
P1= 20X1...
(P2*7*1)/100= X2
7p2= 100X2
P2= 100/7 X2
P1 +P2= $20000
20X1 + 100/7 X2= 20000
7X1 +5x2= 7000...equation one
X1+x2= 1200 ....equation two
Multiplying equation two with 7
7X1 +7X2= 8400
7X1 +5x2= 7000
Solving simultaneously
2X2=1400
X2= 700
P2= 100/7 X2
P2= 100/7 (700)
P2= 10000
But X1+x2= $1200
X1= 1200-700
X1= 500
P1= 20X1
P1= 20(500)
P1= 10000
Vehicle one he put $10000
Vehicle two he put $1000
Mary has $50.00. She goes to the mall and buys lipstick and then she buys shampoo, which is
half the price of the lipstick. She then spends half of what she has left on a purse, leaving her
with $15.00. How much did the shampoo cost? How much did the lipstick cost?
Answer:
Hey there!
Let x be the price of lipstick
Let 1/2x be the price of shampoo
1.5x=20
x=13.33
1/2x=6.67
The shampoo costed $6.67, and the lipstick costed $13.33
Let me know if this helps , or if you have any more questions :)
Answer:
Thank shampoo costed $7.50 and the lipstick costed $15
Step-by-step explanation:
So if you subtract 15 by 50 you get 35 dollars. Then if you divide 35 by 2 you get 15.5 but the .5 is no important right now. So that's how you get 15 dollars for the lipstick and the shampoo was $7.50. The purse was $12.50.
Of the 200 graduate students who were interviewed for a par time position at a call center, 110 had a bicycle, 25 had a master card and 130 had a mobile phone. 50 of them had both, a bicycle and a master card, 30 had both, a master card and a mobile phone and 60 had both, a bicycle and mobile phone and 10 had all three. How many candidates had none of the three?
Answer:
65 candidates.
Step-by-step explanation:
From the above question, we have the following information
Total number of graduate students = n(B ∪ MP ∪ MC)
200 students
Number of students with bicycle = n(B) = 110
Number of students with MasterCard = n(MC) = 25
Number of students with Mobile phone = n(MP) = 130
Number of students with both bicycle and Master card = n ( B ∩ MC) = 50
Number of students with both Mastercard and Mobile phone = n ( MC ∩ MP) = 30
Number of students with both Bicycle and Mobile phone = n ( B ∩ MP) = 60
Number of students that had all three =
n ( B ∩ MP ∩ MC) = 10
Number of candidates that had none of the three = ( None of B ∩ MP ∩ MC)
Since this is a three element set, the formula is given as:
n(B ∪ MP ∪ MC) = n(B) + n ( MP) + n (MC) - n ( B ∩ MP) - n ( B ∩ MC) - n ( MC ∩ MP) + n (B ∩ MP ∩ MC) + ( None of B ∩ MP ∩ MC)
n(B ∪ MP ∪ MC) - ( None of B ∩ MP ∩ MC) = n(B) + n ( MP) + n (MC) - n ( B ∩ MP) - n ( B ∩ MC) - n ( MC ∩ MP) + n (B ∩ MP ∩ MC)
200 - ( None of B ∩ MP ∩ MC) = 110 + 25 + 130 - 60 - 50 -30 + 10
200 - ( None of B ∩ MP ∩ MC) = 110 + 25 + 130 + 10 - 60 - 50 - 30
= 200 - ( None of B ∩ MP ∩ MC) = 275 - 140
= 200 - ( None of B ∩ MP ∩ MC) = 135
( None of B ∩ MP ∩ MC) = 200 - 135
( None of B ∩ MP ∩ MC) = 65
Therefore, 65 candidates had none of the three
Triangle ABC has vertices A (1,3), B (-2,-1), and C (3,-2). Triangle ABC has been translated
right 4 and down 2. This translation can be written in coordinate notation as
Answer:
A(5,1) B(-6,2) C(7-4)
Step-by-step explanation:
A car is traveling at a rate of 84 miles per hour. What is the car’s rate in miles per minute? How many miles will the car travel in 2 minutes? Do not round answer.
Answer:
2.4
Step-by-step explanation:
60 min in a hour
84/60= 1.4
1.4 x 2 = 2.4
Find the numbers b such that the average value of f(x) = 7 + 10x − 9x2 on the interval [0, b] is equal to 8.
Answer:
The numbers [tex]b[/tex] such that the average value of [tex]f(x) = 7 +10\cdot x - 9\cdot x^{2}[/tex] on the interval [0, b] is equal to 8 are [tex]b_{1} \approx 1.434[/tex] and [tex]b_{2} \approx 0.232[/tex].
Step-by-step explanation:
The mean value of function within a given interval is given by the following integral:
[tex]\bar f = \frac{1}{b-a}\cdot \int\limits^b_a {f(x)} \, dx[/tex]
If [tex]f(x) = 7 +10\cdot x - 9\cdot x^{2}[/tex], [tex]a = 0[/tex], [tex]b = b[/tex] and [tex]\bar f = 8[/tex], then:
[tex]\frac{1}{b}\cdot \int\limits^b_0 {7+10\cdot x -9\cdot x^{2}} \, dx = 8[/tex]
[tex]\frac{7}{b}\int\limits^b_0 \, dx + \frac{10}{b} \int\limits^b_0 {x}\, dx - \frac{9}{b} \int\limits^b_0 {x^{2}}\, dx = 8[/tex]
[tex]\left(\frac{7}{b} \right)\cdot b + \left(\frac{10}{b} \right)\cdot \left(\frac{b^{2}}{2} \right)-\left(\frac{9}{b} \right)\cdot \left(\frac{b^{3}}{3} \right) = 8[/tex]
[tex]7 + 5\cdot b - 3\cdot b^{2} = 8[/tex]
[tex]3\cdot b^{2}-5\cdot b +1 = 0[/tex]
The roots of this polynomial are determined by the Quadratic Formula:
[tex]b_{1} \approx 1.434[/tex] and [tex]b_{2} \approx 0.232[/tex].
The numbers [tex]b[/tex] such that the average value of [tex]f(x) = 7 +10\cdot x - 9\cdot x^{2}[/tex] on the interval [0, b] is equal to 8 are [tex]b_{1} \approx 1.434[/tex] and [tex]b_{2} \approx 0.232[/tex].
2x+15=x/2-3
Can someone solve for x and show the answer step by step?
Answer:
[tex]2x + 15 = \frac{x}{2} - 3[/tex]
Move the variable
[tex]4x + 30 = x - 6[/tex]
[tex]4x - x + 30 = - 6[/tex]
Collect like terms
[tex]4x - x = - 6 - 30[/tex]
[tex]3x = - 6 - 30[/tex]
[tex]3x = - 36[/tex]
Divide both sides by three
[tex]x = - 12[/tex]
what is this bruh i need help?
Answer:
what do you need answers for
Step-by-step explanation:
Consider the strategic games described below. In each case, state how you would classify the game according to the six dimensions outlined in the text.
(i) Are moves sequential or simultaneous?
(ii) Is the game zero sum or not?
(iii) Is the game repeated?
(iv) Is there imperfect information, and if so, is there incomplete (asymmetric) information?
(v) Are the rules fixed or not?
(vi) Are cooperative agreements possible or not? If you do not have enough information to classify a game in a particular dimension, explain why not.
a.) Garry and Ross are sales representatives for the same company, Their manager informs them that of the two of them, whoever sells more this year wins a Cadillac.
b.) On the game show The Price is Right, four contestants are asked to guess the price of a television set. Play starts with the leftmost player, and each player's guess must be different from the guess of the previous players. The person who comes closest to the real price, without going over it, wins the television set.
c.) Six thousand players each pasy $10,000 to enter the World Series of Poker. Each starts the tournament with $10,000 in chips, and they play No-Limit Texas Hold'Em ( a type of poker) until someone wins all the chips. The top 600 players each receive prize money according to the order of finish, with the winner receiving more than 8,000,000.
d.) Passengers on Dessert Airlines are not assigned seats: passengers choose seats once they board. The airline assign the order of boarding according to the time the passenger checks in, either on the Web site up to 24 hours before takeoff or in person at the airport.
Answer:
game show The Price is Right, four contestants are asked to guess the price of a television set. Play starts with the leftmost player, and each player's guess must be different from the guess of the previous players. The person who comes closest to the real price, without going over it, wins the television set.
c.) Six thousand players each pasy $10,000 to enter
Add the polynomials (Write answers in descending order)
I did one for you just to give u an idea on how to it. Hope it helps!
Question 4 will mark the brainliest:)
Answer:
B. Since there is an extreme value (5) and no big gaps in the middle of the data, the median best represents the data.
Step-by-step explanation:
Let's evaluate each answer choice.
For reference, the data set is 90, 79, 5, 84, 95, 81 , 87, 94
From least to greatest: 5, 79, 81, 84, 87, 90, 94, 95
A. Since the data has many repeated values, the mode best represents the data.
⇒ The data set has no repeated values. Therefore, this answer choice cannot be correct.
B. Since there is an extreme value (5) and no big gaps in the middle of the data, the median best represents the data.
⇒ This choice is correct. 5 is an extreme value. If we were to arrange the data from the least to greatest, the middle numbers would all be around 80 to 90 ( no big gaps).
C. Since there are no extreme values, the mean best represents the data.
⇒This data set does have an extreme value. There is a 5 in the mix of 80s and 90s. So, this answer is not correct.
D. Since there are no extreme values and few repeated numbers, the median best represents the data.
⇒ As previously mentioned, there is an extreme value of 5. We can eliminate this choice.
Therefore, the best answer choice is B. Since there is an extreme value (5) and no big gaps in the middle of the data, the median best represents the data.
Janie bought 3 apples and 9 bananas. Each apple costs $0.30, and each banana costs $0.90. Enter an expression representing the total cost. NEED ANSWER ASAP PLEASE
Answer:
0.3a + 0.9b
Step-by-step explanation:
1 apple = $0.3
1 banana = $0.9
a apples = $0.3 * a
b bananas = $0.9 * b
total cost = 0.3a + 0.9b
Please help! Attachment below
Answer:
that means the system has no solutions
Lennox owns a big apple orchard. She ships her apples to various markets using a fleet of trucks. Every week, each truck goes on 3 trips, and for each trip Lennox gets 300 dollars. On a single trip, a truck delivers 50 packs, and each pack contains 12 kilograms of apples. Overall, Lennox sells 4500 dollars worth of apples in a week. How many trucks are in Lennoxs fleet
Answer:
her fleet has five trucks
Step-by-step explanation:
Answer: 5 trucks
Step-by-step explanation:
I hope this helps!
2-7 please help BRAINLEST
Answer:
y = 40
Step-by-step explanation:
__y_ x 8 = 8 x 5
8
y = 40
Answer:
y=40 is the answer.
Step-by-step explanation:
y/8=5
In order to find the value of y multiplying 8 on both sides
y/8✖️8=5✖️8
y=40 is the answer.
Hope it will help you :)
Three bells ring at an interval of 10,20,and 30 minutes respectively. If they all ring together at 10:30 p.m.,at what time will they again ring together?
Answer:
11:30 PM
Step-by-step explanation:
This question is essentially asking for the lowest common multiple of 10, 20, and 30. If we write out all the multiples of each, we get:
10: 10, 20, 30, 40, 50, 60, 70, ...
20: 20, 40, 60, 80, ...
30: 30, 60, 90, ...
As you can see, the lowest common multiple is 60, and 60 minutes after 10:30 PM is 11:30 PM.
What is 1/3 times 1/3 times 1/3
Answer:
1/27
Step-by-step explanation:
since the numerator is only one, just go ahead and write one on the numerator spot. Then you multiply the bottom 3^3 is 27, therefore you get 1/27th
Answer:
1/3 cubed is 1/27
Step-by-step explanation:
1/3*1/3*1/3 is equal to 1/27
Use the perimeter formula P = 2 l + 2 w to find the perimeter, P , of a rectangular lot if the width, w , is 70 feet and the length, l , is 105 feet.
Answer:
P = 350 feet
Step-by-step explanation:
P = 2L + 2W
W = 70 feet
L = 105 feet
plug in values:
P = 2(105) + 2(70)
P = 210 + 140
P = 350 feet
The product of 5 and the cube of x, increase by the difference of 6 and x3
Answer:
[tex]4x^{3} +6[/tex]
Step-by-step explanation:
The product of 5 and the cube of x[tex]5*x^3\\\\=5x^3[/tex]
the difference of 6 and x^3[tex]6-x^3[/tex]
I understand as increase as sum so
[tex](5x^3)+(6-x^3)\\\\5x^3+6-x^3\\\\(5-1)x^3+6\\\\4x^3+6[/tex]
ron’s aunt treated ron and his friends to ice cream. she spent $17 on ice cream. both the chocolate cones and vanilla cones were the same price. two ordered chocolate, three ordered vanilla. write and solve an equation to find out how much each cone cost (pls help lol)
Answer:
2x + 3x = 17.
$3.40.
Step-by-step explanation:
All the cones cost the same. That means that one ice cream cone will cost x dollars.
She spent $17, with 2 chocolate and 3 vanilla.
2x + 3x = 17
5x = 17
x = 17/5 = 3.4
So, each cone costs $3.40.
Hope this helps!
Hector made a batch of pancakes for his guests. He used 6 cups of milk, 3 eggs, and 9 cups of pancake mix. What is the constant of proportionality for the ratio of pancake mix to milk? Two-thirds StartFraction 6 over 9 EndFraction Three-halves StartFraction 9 over 6 EndFraction
Step-by-step explanation:
The ratio simplified is 3:2 which is for every three cups of pancake mix there is 2 cups of milk. In this situation for each batch Vector wants to make of pancake he has to have 9 cups of pancake mix for every 6 cups of milk or the original 9:6 ratio.
Hope it helped u if yes mark me BRAINLIEST!
Tysm!
The constant of proportionality for the ratio of pancake mix to milk is 3/2. Hence, 3rd option is the right choice.
What do we mean by the constant of proportionality?When two or more ratios are in proportion, their simplest form is always the constant. This simplest form is the constant of proportionality.
How do we solve the given question?We are informed that Hector made a batch of pancakes for his guests. He used 6 cups of milk, 3 eggs, and 9 cups of pancake mix.
We are asked to find the constant of proportionality for the ratio of pancake mix to milk.
As pancake mix and milk are the ingredients used, they will always be in proportion. So to calculate their constant of proportionality, we take the ratio of pancake mix to milk and reduce it to its simplest form.
The ratio of pancake mix to milk = 9/6
Reducing this to its simplest form, we get the constant of proportionality = 3/2
∴ The constant of proportionality for the ratio of pancake mix to milk is 3/2. Hence, 3rd option is the right choice.
Learn more about the constant of proportionality at
https://brainly.com/question/1835116
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plz say answer for this grade 7
The full circle = 360 degrees
so x = all the full circle minus the other 3 angles
Now we sum the three angles we know [100, 46, 64]:
100 + 46 +64 = 210 degrees
Now we calculate x
x = 360 - 210 = 150 degrees
M is between points C and Q. CM=17 and CQ=21. What is MQ? Enter your answer in the box. MQ=
Answer:
4 units
Step-by-step explanation:
Since, M is between points C and Q, i. e. C - M - Q.
Therefore, CM + MQ = CQ
Therefore, 17 + MQ = 21
MQ = 21 - 17
MQ = 4
Answer:
M is between points C and Q. CM=17 and CQ=21.
What is MQ?
MQ= is 4, the same as on k12
Step-by-step explanation:
Please help me
What is the area of this figure?
Answer: 74 ft^2.
Step-by-step explanation: First, you can seperate the figure into an 8x9 rectangle and a 1x2 rectangle. 8*9 = 72 and 1*2 = 2 and then you add them to get 74. The unit is ft, but we're multiplying, so it becomes ft^2. Thus, the answer is 74 ft^2.
Answer:
Total Area = 50 ft²
Step-by-step explanation:
Total Area = (8 * 6) + (2 * 1)
Total Area = 48 + 2
Total Area = 50 ft²
What is Lim x → ∞ cos (x) ?
Answer:
non existent
Step-by-step explanation:
Hello, please consider the following.
[tex]\forall \ n \in \mathbb{N}\\\\cos((2n+1)\pi)=0\\\\cos(2n\pi)=1\\\\\text{So, there is no limit possible for } x \rightarrow +\infty[/tex]
Thank you.