Answer:
first one c and the second on b
Step-by-step explanation:
What is the distance between point (3,2) and line y=1/4x-9
Answer:
9.94
Step-by-step explanation:
y = [tex]\frac{1}{4}[/tex] x - 9
y - 2 = - 4(x - 3)
y = - 4x + 14
- 4x + 14 = [tex]\frac{1}{4}[/tex] x - 9
16x - 56 = - x + 36
17x = 92
x = [tex]\frac{92}{17}[/tex]
y = (-4) [tex]\frac{92}{17}[/tex] + 14 = - [tex]\frac{368}{17}[/tex] + [tex]\frac{238}{17}[/tex] = - [tex]\frac{130}{17}[/tex]
(3, 2) , ( [tex]\frac{92}{17}[/tex] , - [tex]\frac{130}{17}[/tex] )
d ≈ 9.94396
Suppose that 2000 is placed in an account that pays 13% interest compounded each year. Assume that no withdrawals are made from the account. Do not do any rounding.
A:Find the amount in the account at the end of 1 year.
B: Find the amount in the account at the end of 2 years.
The amount will be $2260 in the account at the end of 1 year. The amount will be $2553.8 in the account at the end of 2 years.
What is Compound interest?Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.
A = P(1+r/100)ⁿ
Where:
A = the future value of the investment or loan
P = the principal investment or loan amount
r = the interest rate (decimal)
n = the number of compound periods
As per the question, the given data will be:
p = $2000
r = 13%
t = 1 year
To calculate the amount in the account at the end of 1 year.
A = P(1+r/100)ⁿ
Substitute the values of p,r, and t in the formula,
A = 2000(1 + 13/100)¹
A = 2000(1 + 0.13)¹
A = 2000(1.13)
A = $2260
To calculate the amount in the account at the end of 2 years.
A = 2000(1 + 13/100)²
A = 2000(1 + 0.13)²
A = 2000(1.13)²
A = $2553.8
Thus, the amount will be $2260 in the account at the end of 1 year. The amount will be $2553.8 in the account at the end of 2 years.
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HELP ENDS IN 20 MINS!!!
Find the values of x, y, and z. The diagram is not to scale.
46°
1130
58°
vo
A. X = 63, y = 104, z = 76
B. X = 76, y = 63, z = 104
C. X = 63, y = 76, z = 104
D. X = 76, y = 104, z = 63
Answer:
B. X = 76, y = 63, z = 104
Step-by-step explanation:
46+58+x=180
104+x=180
x=180-104
x=76
On a coordinate plane, a line goes through points (1, 9) and (4, 3).
What is the slope of a line that contains the points (1, 9) and (4, 3)?
Answer:
yes
Step-by-step explanation:
l,l,;,;,;,;l,;,;
Is y=1/2x-1 proportional
Answer: No
Step-by-step explanation: Since y=2x+1 does not pass through the origin (i.e. there exists the constant term of 1 ), the variables y and x are not directly proportional - though, they do have a linear relationship.
which expression is equivalent to sin(pi/12)cos(7pi/12)-cos(pi/12)sin(7pi/12)? a) cos(-pi/2) b) sin(-pi/2) c) cos(2pi/3) d) sin(2pi/3)
Answer:A
Step-by-step explanation:
Edge 2020
[tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] is equivalent to [tex]sin(\frac{-\pi }{2} )[/tex].
What is trigonometric expression?Trigonometric expressions are non-routine appearing problems. They are unfamiliar because the language of trigonometry looks foreign and complicated. In order to learn how to simplify or reduce the complexity of trigonometric expressions, we first need to examine the identities we need to utilize.
It is one of the identities of trigonometry
sinAcosB - cosAsinB = sin(A - B)
Given expression
[tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex]
It is in form of sinAcosB - cosAsinB = sin(A - B)
⇒ [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] = [tex]sin(\frac{\pi }{12}-\frac{7\pi }{12} )[/tex]
⇒ [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] = [tex]sin(\frac{-6\pi }{12} )[/tex]
⇒ [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] = [tex]sin(\frac{-\pi }{2} )[/tex]
Hence [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] is equivalent to [tex]sin(\frac{-\pi }{2} )[/tex].
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Please help me out!!!!!
What is 10 times as much as 0.06.
Answer:
6
Step-by-step explanation:
move the six 2 digits to the left
Which expression is equivalent to – (4-3)?
A. -2(to the power of 2) + 3
B. -2(to the power of 2)– 3
C. -3 - 2(to the power of 2)
D. -3 +2(to the power of 2)
Answer:
answer is really hard and small, but I can't help because I don't know,
sorry not sorry
lol
regards,
Rosemary
I need help :( this is like super hard I dont know what the anser is
Answer:
c
Step-by-step explanation:
16 divided by 4 equals 4
Answer:
B. 1/4
Step-by-step explanation:
4 divided by 16 is 0.25 which is 1/4
riddle
What runs around the whole yard without moving?
Answer:
a yard stick, maybe I'm right
Answer:
a fence
Step-by-step explanation:
HAHAHA LOL
solve the equation
-4(x - 26) = -200
Answer:
x=76
Step-by-step explanation:
-4(x - 26) = -200
x-26=50
x=50+26
x=76
I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)
Step-by-step explanation:
-4x+104=-200
-4x=-200-104
-4x=-304
x=-304÷(-4)
×=76
In the isosceles trapezoid LMNO, find the value of x.
5
9
15
45
Answer:
15 would be the correct answrr
If I accumulate two gallons of SHlT from an undisclosed location and I sell one gallon but in the process get two more gallons how many will I have left
Answer:
3 gallons
Step-by-step explanation:
2 - 1 + 2 = 3
Which piecewise function is shown in the graph?
Answer:
A
Step-by-step explanation:
why would i lie to you
Help asap
A local hamburger shop sold a combined total of 555 hamburgers and cheeseburgers on Saturday. There were 55 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Saturday?
Answer:
There were 250 hamburgers sold on Saturday.
Step-by-step explanation:
∵ A local hamburger shop sold a combined total of 555 hamburgers
and cheeseburgers on Saturday
→ Assume that the shop sold x hamburgers
∵ The shop sold x hamburgers
∵ There were 55 more cheeseburgers sold than hamburgers
→ That means the number of cheeseburgers is greater than the
number of hamburger by 55
∴ The shop sold x + 55 cheeseburgers
∵ The shop sold 555 burgers
→ Add the two types of burgers and equate the sum by 555
∴ x + x + 55 = 555
∴ 2x + 55 = 555
→ Subtract 55 from both sides
∴ 2x + 55 - 55 = 555 - 55
∴ 2x = 500
→ Divide both sides by 2 to find x
∵ [tex]\frac{2x}{2}[/tex] = [tex]\frac{500}{2}[/tex]
∴ x = 250
∵ x represents the number of hamburgers
∴ There were 250 hamburgers sold on Saturday.
At a food festival, 3/8 of the dishes were from china. Another 12.5% of the dishes were from japan. What percent of the dishes were from the other countries?
Answer: 50%
Step-by-step explanation:
Let x = Total dishes.
Dishes from China = [tex]\dfrac38x[/tex]
Dishes from Japan = [tex]12.5\% \text{ of }x= 0.125x[/tex]
Total dishes from China and Japan = [tex]\dfrac38 x+0.125x=0.375x+0.125x=0.5x[/tex]
Dishes from other countries [tex]= x- 0.5x= 0.5x[/tex]
Percent of dishes from other countries= [tex]\dfrac{0.5x}{x}\times100\%= 50\%[/tex]
Hence, dishes from other countries = 50%
SOMEONE PLEASE HELP ME WITH THIS!!!!
Answer:
D.
Step-by-step explanation:
115x + 170 = 630
Subtract 170 from each side of the equals,
115x = 460
Divide 460 by 115,
4
Thus, D is your correct answer.
Answered by:
matthewarvin06
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Luis had 4 boxes of party favors. One full box contained 16 bags of favors and each bag had 5 items in it. What is the total number
items that Luis had in his possession?
O A. 360
B. 320
O C. 170
OD. 7.5
What is the volume of a cylinder with a radius of 1.5 inches and a height of 9 inches round your answer to the nearest hundredthWhat is the volume of a cylinder with a radius of 1.5 inches and a height of 9 inches round your answer to the nearest hundredth
Answer:
V = 63.62
Step-by-step explanation:
Answer: 63.62 cubic inches
Step-by-step explanation:
REMEMBER :: VOLUME OF CYLINDER = πr^2h
r= 1.5 in.
h= 9 in.
V= π (1.5)^2 (9)
V= π (2.25) (9)
V= π (20.25)
V~63.6172512...
nearest hundredth = 63.62 cubic inches
Divide (-3x^2 - 9x) ÷ (x + 3)
please explain/show work! <33
Step-by-step explanation:
[tex]( - 3 {x}^{2} - 9x) \div (x + 3) [/tex]
This is the original equation so you will open the brackets.
[tex] - 3 {x}^{2} - 9x \div x + 3[/tex]
The x will cross the division sign making it times x.
[tex]3 {x}^{2} - 9x \times x = 3[/tex]
So you will proceed to multiply the 9x by x making it;
[tex]3 {x}^{2} - 9 {x}^{2} = 3 [/tex]
So you will subtract 9x² from 3x² which won't be possible so it will be negative.
[tex] - 6 {x}^{2} = 3 [/tex]
Then you will square root both sides making it;
[tex] - \sqrt{6 {x}^{2} } = \sqrt{3} [/tex]
So the ² will cancel the √ leaving
-6x=√3
-6x=1.73(Divide both sides by -6)
x=0.288
That's the final answer.
game of bingo with 33 outcomes is created to allow 6 people to win the game for every 27 people who do not win. which ratio in the form of people who win to people who do not win? (Again....Please help with this ;-; )
Answer:
Winners:Losers
2:9
Step-by-step explanation:
Winners:Losers
6:27
[÷3]
2:9
Answer:
Ratio 2:9
Step-by-step explanation:
For every 27 winner there are 6 people who win
For every 6 people who win 27 people do not win
So the ratio is 6:27 This can be simplified by dividing by 3
Ratio 2:9
Determine the values of X
Step-by-step explanation:
x+66+52=180
x=180-66-52
x=180-118
x=62
Simplify the expression:
- square root of 96
Answer:
Probably the easiest number to factor out is 2 since 96 is an even number. 96/2 = 48.
Step-by-step explanation:
I need help on the word problem with
hirhgkjsdbgkgbdk kbfsbjd jsbfbdh jabjdbshd jsjdsfkj
Answer: x>11
Step-by-step explanation:
Find the 39th term of the following sequence. 17,11, 5, -1
Answer:
-330
Step-by-step explanation:
a39= 17+ (39-1) * -6
17+ 38 = 55
55*-6 = -330
3. Solve for a
5(a-2) = 2(10+a)
it’s due by midnight and can you also tell me how you got the answer
Answer:
a=10
Step-by-step explanation:
distribute on both sides to get
5a-10=20+2a
add/subtract like terms
5a-2a=3a
20+10=30
so the equation is
3a=30
divide 30 by 3 and you get 10
Answer:
a = 10
Step-by-step explanation:
[tex]5(a - 2) = 2(10 + a) \\ \\ 5a - 10= 20 + 2a\\ \\ 5a - 2a= 20 + 10\\ \\ 3a = 30\\ \\ a = \frac{30}{3} \\ \\ \huge \red{ \boxed{a = 10}}[/tex]
Here are the first four terms of an arithmetic sequence. 3 10 17 24 Find, in terms of n, an expression for the nth term of this arithmetic sequence.
Answer:
[tex]a_{n}[/tex] = 7n - 4
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 3 and d = a₂ - a₁ = 10 - 3 = 7 , thus
[tex]a_{n}[/tex] = 3 + 7(n - 1) = 3 + 7n - 7 = 7n - 4
Evaluate the expression for x = 1.7. Enter your answer in the box.
x2 + 3x
Answer:
7.99
General Formulas and Concepts:
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition SubtractionStep-by-step explanation:
Step 1: Define
x² + 3x
x = 1.7
Step 2: Solve
Substitute: 1.7² + 3(1.7)Exponents: 2.89 + 3(1.7)Multiply: 2.89 + 5.1Add: 7.99Write each number below in Scientific Notation.
1. 92, 000 = 9.2 x 104
2. 109,000 = 1.09 x 105
3. 4,673 = 4.673 x 103
4. 0.00087 = 8.7 x 10-4
5. 0.0235 = 2.35 x 10-2
Answer:
92,00=9.2*10^4
109,000=1.09*10^5
4,673=4.673*10^3
0.00087=8.7*10^-4
0.0235=2.35*10^-2
Step-by-step explanation: