Step-by-step explanation:
1 _ 1.215
2_ 4.0608
3_1.5225
4_0.2875
5_3.6064
What is jk? Please help asap!!!
Answer:
20 m
Step-by-step explanation:
We can see from the hatch marks that JK is equal to one half of HG
2(6x - 4) = 10x
12x - 8 = 10x
2x - 8 = 0
2x = 8
x = 8/2
x = 4
therefore to find JK we will substitute x with 4
JK = (6(4)-4) = 24 - 4 = 20m
Express (x + 2)² + 9 = 0 in standard form
Answer:
x^2+4x+13=0
Step-by-step explanation:
I'm 100% certain this is right. Have a good day/night wherever you are! :D
You deposit $9000 in an account that pays 5% interest compounded quarterly.
A. Find the value of one year
B.Use the future value formula for simple interest to determine the effective annual yield
(Formula: A=P(1 +rt)
Step-by-step explanation:
Given:
Deposit P = $9000Interest rate r = 5% = 0.05Time t = 1 yearNumber of compounds n = 4A. Find the value of one year
[tex]A = P(1 + r/n)^{nt} = 9000(1+0.05/4)^4=9458.51[/tex]B. Use the future value formula for simple interest to determine the effective annual yield
[tex]A=P(1+rt)\\[/tex][tex]r=(A/P-1)/t[/tex][tex]r=(9458.51/9000-1)/1=0.0509[/tex] r = 5.1%Answer:
A) $9458.51
B) 5.09% (2 d.p.)
Step-by-step explanation:
Part ACompound Interest Formula
[tex]\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}[/tex]
where:
A = final amountP = principal amountr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsedGiven:
P = $9000r = 5% = 0.05n = 4 (quarterly)t = 1 yearSubstitute the given values into the formula and solve for A:
[tex]\implies \sf A=9000\left(1+\frac{0.05}{4}\right)^{4 \times 1}[/tex]
[tex]\implies \sf A=9000(1.0125)^4[/tex]
[tex]\implies \sf A=9458.508032...[/tex]
Therefore, the value of the account after 1 year is $9458.51.
Part BSimple Interest Formula
A = P(1 + rt)
where:
A = final amountP = principalr = interest rate (in decimal form)t = time (in years)Given:
A = $9458.51P = $9000t = 1 yearSubstitute the given values into the formula and solve for r:
[tex]\implies \sf 9458.51=9000(1+r(1))[/tex]
[tex]\implies \sf 9458.51=9000(1+r)[/tex]
[tex]\implies \sf \dfrac{9458.51}{9000}=1+r[/tex]
[tex]\implies \sf r=\dfrac{9458.51}{9000}-1[/tex]
[tex]\implies \sf r=0.050945...[/tex]
[tex]\implies \sf r=5.0945... \%[/tex]
Therefore, the effective annual yield is 5.09% (2 d.p.).
A machine produces electrical components. 99.7% of the components have lengths between 1.176 cm and 1.224 cm. Assuming this data is normally distributed, what are the mean and standard deviation?
A bank loaned out $13,000, part of it at the rate of 7% per year and the rest at 15% per year. If the interest received in one year totaled $1500, how much was loaned at 7%?
Answer:
Total yearly interest for the two accounts is: $1500
Step-by-step explanation:
Total amount of money invested: $13000
x+y=13000,
Total yearly interest for the two accounts is: $1500
0.07*x+0.17*y=1500
x=13000-y
Substitute for x
0.07*(13000-y)+0.17*y=1500
Multiply out
910-0.07y+0.17*y=1500
Combine like terms.
0.1*y=590
Isolate y
y=$ 5900.00 at 17%
x=13000-y
Calculate x
x=$ 7100.00 at 7%
Check
0.07*7100+0.17*5900=1500
497+1003=1500
1500=1500
If this statement is TRUE and neither amount is negative then all is well
(Hope this helps can I pls have brainlist (Crown)☺️)
Joseph is playing with blocks to create a design. With each step he continues to add
blocks. How many blocks will be required in the 5th and 6th step? Explain how you
know.
Answer:
16
Step-by-step explanation:
it doubles every time 2,4,8. 16
lim┬(x→1)〖(1-√x)/(x^2-1)〗
Answer:
- 1/4
Step-by-step explanation:
[tex]\frac{1-\sqrt{x} }{x^{2}-1 } = \frac{(1-\sqrt{x})*(1+\sqrt{x} ) }{(x+1)(x-1)(1+\sqrt{x} )} \\= \frac{1-x}{-(1-x)(x+1)(1+\sqrt{x} )} \\= - \frac{1}{(x+1)(1+\sqrt{x} )} \\ \lim_{->1} - \frac{1}{(x+1)(1+\sqrt{x} )} \\ = -\frac{1}{(1+1)(1+\sqrt{1}) } = - 1/4[/tex]
Find the values of a and b.
Step-by-step explanation:
Substitute x=0x=0 to get a3+b2=−56a3+b2=−56 and x=−1x=−1 to get a2+b=−12a2+b=−12 and solve them to get a=−7,b=3
6x < 36
what is the right answer
X< or >6
Answer:
X < 6
Step-by-step explanation:
Since 6 times 6 = 36, then for this equation to be true, x would have to be less than 6.
The price of an item has dropped to $68 today. Yesterday it was $80. Find the percentage decrease.
Answer:
15 percent
Step-by-step explanation:
Answer:
15%
Step-by-step explanation:
(80-68)*(100/80)=15%
Solve the following proportion problem. Round to two decimals as need.
2.4/x = 5
Step-by-step explanation:
If you mean, 2.4 divided by x equals 5,
and we're to find x,
x=2.4÷5
x=0.48
Hope this helps, If so mark BRAINLIEST please
What is the value of the expression (2.75) (5.2)?
Answer:
14.3
Step-by-step explanation:
2.75 * 5.2=14.3
HELppppppppppppppppp
9514 1404 393
Answer:
40 -8p -3w$4Step-by-step explanation:
Ms. Liu will have to pay 8p for p bags of popcorn, and 3w for w bottles of water. The amount she will have left will be these amounts subtracted from $40.
40 -8p -3w . . . . represents the money remaining
For p=3 and w=4, this evaluates to ...
40 -8(3) -3(4) = 40 -24 -12 = 4
Ms. Liu will have $4 left after her purchase.
Answer the question below, and then fill in the blanks if necessary.
Can the distributive property be used to rewrite
3 x (8 + 4) ?
Yes
No
If yes, fill in the blanks below.
3 x (8 + 4) - (0 * D + xD
X 5
?
Answer:
yes
Step-by-step explanation:
3(8+4)
(3×8)+(3×4)
24+12
36
Enter an inequality that represents the phrase "the sum of 4 and y is less than 6." Draw a graph that represents the inequality.
Please help AND give a good explanation. Like I am finding this super hard and well I can NOT get this question wrong unless I want a C on this. Help :(
9514 1404 393
Answer:
4 + y < 6
see attached for a graph
Step-by-step explanation:
The English description "the sum of A and B" is written symbolically as ...
A + B
The symbol for "is less than" is <.
Then "the sum of 4 and y is less than 6" will be written ...
4 + y < 6
__
The solution to this is found by subtracting 4 from both sides of the inequality:
4 +y -4 < 6 -4
y < 2 . . . . . . . . . simplified solution
The graph of this is a number line with an open circle at y=2, and shading to the left of that point, where values on the number line are less than 2.
Hurry please What is the equation of this line
A. Y=1/4x-6
B. Y=6x-4
C. Y=6x-1/4
D. Y=4x-6
Solve.
-3.7 =-5.4x – 5.5
Enter your answer as a fraction in simplest form in the box.
Answer:
[tex] - \frac{1}{3} [/tex]
Step-by-step explanation:
[tex] - 3.7 = - 5.4x - 5.5 \\ - 3.7 + 5.5 = - 5.4x \\ 1.8 = - 5.4x \\ \ - \frac{1.8}{5.4} = x = - \frac{1}{3} [/tex]
the ratio 4:2 is equivalent to 2
To make pastry for an apple pie, you need 4 oz flour and 2 oz fat. The ratio of flour to fat is
4 : 2 .
But this ratio can be simplified in the same way that two fractions can be simplified. We just
cancel by a common factor. So
4 : 2 = 2 : 1 .
Distance from earth to the moon is 238,900 . From earth to the sun is 92935,700 ,about how many times the distance from earth to the moon is distance from earth to the sun
Answer: the sun is 389.015069067 times further away from earth to the moon
Step-by-step explanation: 92935700/238990=389.015069067
Find the indicated values by using the table.
X= g(x)=2x+1
The path of a skateboarder can be modeled by the equation (x – 3)2 = –8(y – 8), where distance is in feet and air resistance is insignificant. If the skateboarder makes a jump from a ramp at x = 0, what is her maximum height and how far is she horizontally from the end of the ramp when she lands?
Maximum height 3 feet; horizontal distance 16 feet
Maximum height 7 feet; horizontal distance 11 feet
Maximum height 8 feet; horizontal distance 11 feet
Maximum height 8 feet; horizontal distance 16 feet
Answer:
Maximum height 8 feet; horizontal distance 11 feet
Step-by-step explanation:
got it right
The maximum height and horizontal distance is required.
Maximum height 8 feet; horizontal distance 16 feet
The given path is [tex](x-3)^2=-8(y-8)[/tex]
If the skateboarder jumps at x = 0 she will land at y = 0. However there will be at horizontal displacement.
[tex](x-3)^2=-8(0-8)\\\Rightarrow (x-3)^2=8^2\\\Rightarrow x-3=\pm 8\\\Rightarrow x-3=8\\\Rightarrow x=11[/tex]
or
[tex]x-3=-8\\\Rightarrow x=-5[/tex]
The distance between -5 and 11 is [tex]11-(-5)=16[/tex]
Middle point would be [tex]\dfrac{16}{2}=8[/tex] from [tex]-5[/tex].
[tex]-5+8=3[/tex]
So, [tex]x=3[/tex]
The maximum height will be
[tex](3-3)^2=-8(y-8)\\\Rightarrow y-8=0\\\Rightarrow y=8[/tex]
The maximum height is 8 feet and the horizontal distance is 16 feet.
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An electrician cuts off two 93’ pieces and four 12 -foot pieces of conductor from 1240 feet reel. How much of the reel is left?
What is the sum of the columns and rows?
Answer: 90
6+15+24=45
45*2=90 (the numbers are the same so just x2)
Which expression is equivalent to -0.25(16m + 12)?
PLEASE HELP
Answer:
-4m-3
Step-by-step explanation:
Step-by-step explanation:
→ -0.25(16m+12)
→ (-0.25×16m)+(-0.25×12)
→ (-4m)+(-3)
→ -4m-3. Answer
Solve each system by elimination.
3) 3x + 4y = 12
-3x - y = 6
4) -5x – 6y = 5
-6x + 6y = 6
5) 7x - 4y = 19
10x - 2y = 16
6) 10x - 9y=-13
5x – 3y =-11
Answer:
3) x = -4 and y = 6
4) x = -1 and y = 0
5) x = 1 and y = -3
6) x = -4 and y = -3
Step-by-step explanation:
3) Add the equations:
(3x + 4y = 12) + (-3x - y = 6) (eliminate the x)
= 3y = 18
y = 18/3
y = 6
3x + 4(6) = 12
3x = 12 - 24
x = -12/3 = 4
4) Add the equations:
(-5x - 6y = 5) + (-6x + 6y = 6)
-11x = 11
x = -1
-5(-1) -6y = 5
-6y = 5 - 5
y = 0
5) 7x -4y = 19
10x - 2y = 16
Multiply the second equation by -2 to eliminate the y and add both equations.
-2(10x -2y = 16) =
(-20x + 4y = -32) + (7x - 4y = 19)
-13x = -13
x = 1
7(1) - 4y = 19
-4y = 19-7
y = 12/-4
y = 3
6) multiply the second equation by -2 to eliminate the x and then add the equations.
-2(5x - 3y = - 11) =
(-10x + 6y = 22) + (10x - 9y = - 13)
= -3y = 9
y = - 3
10x - 9(-3) = - 13
10x = -13 - 27
x = -40/10
x = -4
8. If a vehicle is moving at a constant speed of 60 miles per hour, how many
miles will it travel in 1 hour and 20 minutes?
(A) 60
(B) 65
(C) 80
orden des
(D) 90
e are !
105 area o
Answer:
C. 80 miles.
Step-by-step explanation:
20 minutes is 1/3 of an hour so it travels 60 * 1/3 = 20 miles in 20 minutes.
A gardener grows sunflowers and records the heights, y , in centimeters, each day, x . The table shows the gardener’s data.
Answer:
Explanation is in a file
Step-by-step explanation:
The equation that represents the relation in this situation is: y = 3x + 8
What equation does represent the relationships between x and y?The relationship between days (x) and height (y) is a linear one. Each day, the height increases by 3 centimeters, and the initial height is 8 centimeters (y-intercept).
This can be represented by the equation y = 3x + 8, where 3 is the rate of increase per day and 8 is the initial height. This equation accurately models the given data points: (1, 11), (2, 14), (3, 17), and (4, 20).
Note: This question is incomplete. Here is the complete information:
Which equations represents the relationships between x and y?
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Adjoa’s gross salary for last month was Ghc4,687.24. If Ghc421.78 was deducted from Adjoa’s salary pay, how much take-home pay did Adjoa earn this past month?
Adjoa’s gross salary for last month was Ghc4,687.24. If Ghc421.78 was deducted from Adjoa’s salary pay, the take-home pay that Adjoa earn in the past month is Ghc4,265.46
The gross salary is the amount received by an individual prior to the deduction of the taxes.
Given that:
Adjoa's gross salary for last month = Ghc4,687.24and Ghc421.78 was deducted from Adjoa's salary pay.Then, the take-home that Adjoa earned in the past month is calculated by removing the amount deducted from her gross salary.
i.e.
= Ghc4687.24 - Ghc421.78
= Ghc4,265.46
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Write the equation of the line passing through the points (-7,8) and (7,2) The equation of the line is [ ]Can someone please help me!!!
Answer:
y = -3/7x + 5
Step-by-step explanation:
y2 - y1 / x2 - x1
2 - 8 / 7 - (-7)
-6/14
= -3/7
y = -3/7x + b
2 = -3/7(7) + b
2 = -3 + b
5 = b
A.4/10
B.1/20
C.3/40
D.2/20
Answer:
it's C. 3/40
Step-by-step explanation:
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