Answer:
V= 452.39cm³ (to 2 d.p. )
S.A. = 326.73cm² (to 2 d.p. )
Step-by-step explanation:
Vcylinder = π r² h = π (4)² (9) = 144 π = 452.3893421cm³ = 452.39cm³ (to 2 d.p. )
S.A. cylinder = 2π r h + 2π r² = 2π (4)(9) + 2π (4)² = 104π = 326.725636cm² = 326.73cm² (to 2 d.p. )
What is the x-coordinate of the solution for the system of equations? {y−x=910+2x=−2y Enter your answer in the box. x =
Answer:
-7
Step-by-step explanation:
y−x=9 ⇒ y=x+9
10+2x=−2y
5+x= -y ====== replacing y with x+9
5+x= -x-9
2x= -14
x= -7
Answer:
-7
Step-by-step explanation:
y - x = 9
10 + 2x = -2y
Solve for y in the first equation.
y = 9 + x
Put y as 9 + x in the second equation and solve for x.
10 + 2x = -2(9 + x)
10 + 2x = -18 - 2x
2x + 2x = -18 - 10
4x = -28
x = -28/4
x = -7
The average number of spectators at a football competition for the first five days was 3,144.The attendance on the sixth day was 3,990.find the total attendance on the first five days
Answer:
Add 3, 144
+3,990
And you wil get your answer
7, 134
On a coordinate plane, a line goes through points (negative 4, 0) and (0, 4.5). What is the x-coordinate of the y-intercept? –4 0 4 5
Answer:
sorry for such a late answer but the correct option is the second table
Step-by-step explanation:
none needed
Answer: It is the second option 0
Step-by-step explanation: Because I took that test and got it right
John is going for a walk. He walks for 6.4 miles at a speed of 2 miles per hour. For how many hours does he walk?
Answer:
t = d/s
t = 6.4 / 2 miles
t = 3.2 miles
Step-by-step explanation:
follow me plzzz
The perimeter of a rectangular painting is 310 centimeters. If the width of the painting is 56 centim
Answer:
The length is 99 cm
Step-by-step explanation:
The perimeter of a rectangle is
P = 2 (l+w)
310 = 2( l+56)
Divide each side by 2
310/2 = 2/2( l+56)
155 = l+56
Subtract 56
155-56 = l+56-56
99 = l
Answer:
99 centimeters
Step-by-step explanation:
Use formula for perimeter of a rectangle.
P = 2l + 2w
310 = 2l + 2(56)
Solve for l.
310 - 2(56) = 2l
310 - 112 = 2l
198 = 2l
99 = l
An investment banker deposited $50,000 in an account earning a nominal 6% per year compounded continuously. How much was in the account at the end of three years
Answer:
The amount in the account at the end of three years will be $59,861.
Step-by-step explanation:
The formula to compute the amount at the end of t years, compounded continuously is:
[tex]A=P\times e^{t\times i}[/tex]
Here,
A = Amount at the end
P = Principal amount
i = interest rate
t = number of years.
It is provided that:
P = $50,000
i = 6%
t = 3 years
Compute the amount in the account at the end of three years as follows:
[tex]A=P\times e^{t\times i}[/tex]
[tex]=50000\times e^{(3\times 0.06)}\\=50000\times 1.19722\\=59861[/tex]
Thus, the amount in the account at the end of three years will be $59,861.
500
475
450
- ODX Group, Inc
-NAMSEK
-A&D
400
425
Peer Comms Ltd.
350
350
300
300
250
275
Value of 100 shares in $
250
200
200
175
175
150
150
175
150
125
100
150
-100
100
100
125
125
50
25
0
Year 1
Year 2
Year 3
Year 4
Year 5
How much would it cost to buy 100 shares in ODX Group, Inc. and 300 shares in
Peer Comms Ltd, in Year 5?
Options
(A)350 (B)375 (C)725 (D)750 (E)775
Answer:
(E)775
Step-by-step explanation:
From the attached graph
In Year 5
100 shares in ODX Group, Inc. was worth $175100 shares in Peer Comms Ltd was worth $200Therefore the Cost of 100 shares in ODX Group, Inc. and 300 shares in Peer Comms Ltd, in Year 5
=175+3(200)
=175+600
=$775
The correct option is E.
Jose buys candy that costs $8 per pound. He will spend at least $48 on candy. What are the possible numbers of pounds he will buy? Use p for the number of pounds Jose will buy. Write your answer as an inequality solved for p.
Answer:
48x divided by 8= 6p
Step-by-step explanation:
How do I find the vertex of -3x^2+6x+17
Answer:
By either graphing or completing the square
Step-by-step explanation:
The fastest way to find the vertex is to graph the equation and trace the graph to your vertex to find your point.
Alternatively, you can complete the square to get form f(x) = a(bx - h)² + k (vertex form) and find your vertex (-h, k).
A 4-ft-high and 7-ft-wide rectangular plate is submerged vertically in water so that the top is 1 ft below the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate it. (Recall that the weight density of water is 62.5 lb/ft3).
Total depth of the bottom of the plate is 4 + 1 = 5
Force = limit(5,1) 62.5 *7* x * dx
= 437.5. Lim(5,1) x*dx
= 437.5(x^2/2)^5 , 1
= 437.5 x (5^2/2 - 1/2)
= 437.5 x 12
= 5,250 pounds
The hydrostatic force against one side of the plate will be 5250 pounds.
What is hydrostatic force?The force exerted by the water of surface is known as hydrostatic force.
A 4-ft-high and 7-ft-wide rectangular plate is submerged vertically in water so that the top is 1 ft below the surface.
[tex]\rm Force = \int^5_1 62.5 *7* x * dx\\\\\\ Force = 437.5 \left [ \dfrac{x^2}{2} \right]^5_1\\\\\\Force = 218.75 \left [ x^2 \right]^5_1\\\\[/tex]
Solve the equation further, we have
Force = 218.75 x (5² – 1²)
Force = 218.75 x 24
Force = 5,250 pounds
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Of the last 100 customers entering a computer shop, 25 have purchased a computer. If the relative frequency method for computing probability is used, the probability that the next customer will purchase a computer is
Answer: 0.25
Step-by-step explanation:
The relative frequency of the customers that buy computers is equal to the number of customers that bought a computer divided the total number of customers that entered the shop.
p = 25/100 = 0.25
If we take this as the probability, then the probability that the next customer that enters the shop buys a computer is 0.25 or 25%
Consider the two savings plans below. Compare the balances in each plan after 14 years. Which person deposited more money in the plan? Which of the two investment strategies is better? Yolanda deposits $100 per month in an account with an APR of 5%, while Zach deposits $1200 at the end of each year in an account with an APR of 5%.
Step-by-step explanation:
It is not specified the compounding period, which in general is a month these days. So we will assume money is compounded each month, otherwise there is no point depositing monthly.
1. Yolanda:
APR=5% is equivalent to
Monthly interest = 5%/12 = 5/12% = 5/1200 = 1/240 = i
Monthly deposit = 100 = A
Future value after 14 years = 14*12 months = 168 months = n
FV1 = A((1+i)^n-1)/i
=100*((1+1/240)^168-1)/(1/240)
= $24259.83
2. Zach
He deposits 1200 at the end of the year. The last payment does not benefit from interest.
Since it is a yearly payment, each amount earns interest over a year, giving an annual interest of
(1+i)^12 -1 = 1.051161897881733 -1 =0.051161897881733 = j
Thus for 13 annual payments with annual interest j gives a compounded amount after 14 years, plus the last payment which does not earn interest
FV2 = A((1+j)^n-1)/j
= 1200((1.051161897881733)^13-1)/(0.051161897881733)+1200
= 22613.34
Summary
Total investments:
Yolanda = 12*100*14 = 16800
Zach = 1200 * 14 = 16800
So both investors have invested $16800 over the 14 year period.
Since Yolanda achieves a higher future value after 14 years ($24259.83) over that of Zach ($22613.34), financially Yolanda has a better strategy.
Note:
If zach had invested annually at the beginning of the year, he would have obtained:
A((1+j)^n-1)/j
= 1200((1.051161897881733)^14-1)/(0.051161897881733)
= 24908.88
which is superior over Yolanda's return.
2. 3 tacos cost $18.
Complete the table to show the cost of 4, 5, and 6 tacos at the same rate.
Number of tacos
Cost in dollars
6
b. How did you find your answer?
Answer:
$24, $30, $36
Step-by-step explanation:
First we need to find the unit rate.
1. 18÷3 = 6
So that means one taco costs $6.
6*4 = 24
6*5 = 30
6*6 = 36
The cost of 4 taco is $24, 5 taco is $30 and 6 taco is $36.
What is unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
3 tacos cost $18.
Cost of 1 taco= 18/ 3
= $6
So, cost of 4 taco = 4 x 6 = $24
and, cost of 5 taco = 5 x 6= $30
and, cost of 6 taco = 6x 6= $36
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Which expression is not requivalent to
3x - 2?
Answer:
anything that is not -2+3x or x=2/3 is wrong
Step-by-step explanation:
Cheryl bought 3.4 pounds of coffee that cost $6.95 per pound . How many did she spend on coffee
Answer:
23.63
Step-by-step explanation:
multiply the cost by the pounds
Answer:
$23.63
Step-by-step explanation:
3.4 X 6.95 = 23.63
The margin of error in a confidence interval estimate accounts for:_________
Answer:
The percentage points within which the obtained results would differ from the real population value.
Step-by-step explanation:
The ideas of the margin of error and confidence interval are borne from the observed truth, which is that there is always room for error in any statistically computed figure such as a survey or poll. For example, the result of a poll could show an 80% confidnce interval with a margin of error of 3%. This simply means that if the poll was repeated, 80% of the real population would fall within an estimate of 3%.
Statistics are not always error proof. Sometimes, the results might even be totally different from the computed results. So, it is very important that room is made for the possibility of an error, and that is why we need the mrgin of error.
Any help would be greatly appreciated
Answer: (-3, -2)
Step-by-step explanation:
Plug in -2 for y to find x
x - 5(-2) = 7
Multiply -5 and -2
x + 10 = 7
Subtract 10 from both sides
x = -3
The first ordered pair is (-3, -2)
Please answer this correctly
Answer:
2/3
Step-by-step explanation:
Total sides = 6
Number 5 and all even numbers = 1+3
=> 4
P(5 or even ) = 4/6
=> 2/3
ial
What should be her first step?
isolating the constant 1
adding 4 to both sides of the equation
O isolating the second term, -4x
O adding 1 to both sides of the equation
Answer:
Fiona is completing the square to solve the polynomial equation.
x2 – 4x + 1 = 0
What should be her first step?
CORRECT--->>> 1) isolating the constant 1
2) adding 4 to both sides of the equation
3) isolating the second term, –4x
4) adding 1 to both sides of the equation
Step-by-step explanation:
EDGE 2021
The correct first step is to add 7 on both sides of the equation.
Option B is the correct answer.
We have,
To solve the equation 3x - 7 = 8, the first step is to add 7 on both sides of the equation.
We can also solve the equation as:
3x - 7 = 8
Adding 7 on both sides.
3x - 7 + 7 = 8 + 7
3x = 15
Dividing 3 on both sides.
x = 15/3
x = 5
Therefore,
The correct first step is to add 7 on both sides of the equation.
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The complete question:
Solve the equation 3x - 7 = 8.
What should be your first step?
O Isolating the constant term, -7
O Adding 7 to both sides of the equation.
O Isolating the second term, 3x.
O Subtracting 8 from both sides of the equation.
Suppose 27 cars start at a car race. In how many ways can the top 3 cars finish the race?
The number of different top three finishes possible for this race of 27 cars is
(Use integers for any number in the expression.)
Answer:
2925
Step-by-step explanation:
27 choose 3
(27!) / (24!3!)
the 24! cancels leaving the numerator with 27 x 26 x 25
(27 x 26 x 25) / (3 x 2 x 1)
Canceling out we get
9 x 13 x 25 which works out to be
2925!
Answer:
What expression? Anyways it is 17,550 different ways.
Just need an answer
Answer:
a
Step-by-step explanation:
x²≥4⇒ x≥2 or x≤-2
Answer:
b my man or women
Step-by-step explanation:
no need for one
You want to buy a $200000 home. You plan to pay 10% as a down payment, and take out a 30 year loan for the rest. A. How much is the loan amount going to be?
B. What will your monthly payments be if the interest rate 5%?
C. What will your monthly payments be if the interest rate is 6%?
Answer:
A = 20,000
Step-by-step explanation:
200,000 ÷ 10 = 20,000
The loan amount going to be for a home that cost $200000 home. You plan to pay 10% as a down payment and take out a 30-year loan for the rest is $180000.
What is interest?When the loan is given to you, then some amount is charged to you for the principal amount and that is called interest.
Given:
The cost of the house, C = $200000,
The time = 30 years,
If the down payment is 10% then the remaining amount,
Down payment amount, D = 10% of 2000000 = $20000
Remaining amount = C - D
Remaining amount = $200000 - $20000 = $180000,
Therefore, the loan amount is $180000.
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Help pls any kind soul pls help
Answer:
3x
Step-by-step explanation:
If Dan is x years old and Olly is 3 times as old, that means that Olly's age is 3 * x or 3x for short.
Answer:
3x
Step-by-step explanation:
If Dan is x years old and Olly is 3 times old as Dan, then the expression is 3x.
David and Tina share their profit in a ratio of 5:7. Tina gets £70 more than David. How much money did David receive?
Answer:
Amount of money David received = £ 175
Step-by-step explanation:
Both of them share their profit in a ratio of 5:7 . Tina got £70 more than David. Let
the amount David received = a
amount Tina received = 70 + a
the total profit = 70 + 2a
Amount David received = 5/12 × 70 + 2a = a
Therefore,
5/12 × 70 + 2a = a
350 + 10a/12 = a
cross multiply
350 + 10a = 12a
collect like terms
350 = 12a - 10a
350 = 2a
divide both sides by 2
a = 350/2
a = 175
Amount of money David received = £ 175
Please answer this correctly
Answer:
12.5%
Step-by-step explanation:
There is only 1 seven card from the 8 total cards.
1 out of 8.
1/8 = 0.125
P(7) = 12.5%
Answer:
12.5%
Step-by-step explanation:
Total Cards = 8
Number 7 = 1
P(7) = 1/8
In %age:
=> 12.5%
Please help me I will mark BRAINLIEST THANK YOUUUUU
Answer:
33%
Step-by-step explanation:
The multiples of 3 are 3,6,9,12
Sum is 6+14+12+1 = 33
The total is 3+6+8+11+14+16+15+12+9+5+1=100
The experimental probability is number of multiples of 3 over the total
33/100 = 33%
what's 3 - 3 x 6 + 2
Answer:
-13
Step-by-step explanation:
PLEASE HELP ME!!!!!!!!!! What polygon is tesellated to form this image?
Answer:
Pentagon
Step-by-step explanation:
the head is the closest I see
There are two different clocks in Wendy's house, one is 20 minutes faster in a day, and the other is 30 minutes slower in a day. If they are set to be the correct time now, how many days later will they both show the correct time?
Answer:
The answer is below
Step-by-step explanation:
For the first clock that is 20 minutes faster in a day, that means it is [tex]\frac{20\ min}{60\ min/hr}=\frac{1}{3}hr[/tex] faster every day. For it to show the correct time, the clock should be 24 hours faster.
Since 1 day = 1/3 hr faster
x days = 24 hr faster
Let x number of days be required to be 24 hr faster. To find x we use the formula:
[tex]x=\frac{24 \ hr* 1\ day}{\frac{1}{3}hr } \\x=72\ days[/tex]
For the second clock that is 30 minutes slower in a day, that means it is [tex]\frac{30\ min}{60\ min/hr}=\frac{1}{2}hr[/tex] faster every day. For it to show the correct time, the clock should be 24 hours slower.
Since 1 day = 1/2 hr slower
y days = 24 hr faster
Let x number of days be required to be 24 hr slower. To find x we use the formula:
[tex]y=\frac{24 \ hr* 1\ day}{\frac{1}{2}hr } \\y=48\ days[/tex]
Basic kinematics. Please help! Will give brainliest! Show all work!
Answer: 3.5 m/s
Step-by-step explanation:
[tex]v=\frac{vf+vi}{2}[/tex]
[tex]v=\frac{5+2}{2}[/tex]
5+2=7
7/2= 3.5