Answer:
(3,4)
Step-by-step explanation:
x^2+y^2=(5)^2
if you graph it you will see that (3,4) is on the circle
Suppose a certain manufacturer deposits $7,000 at the beginning of each 3 month period for 8 years in an account paying 8% interest compounded quarterly.
Required:
a. How much (in $) will be in the account at the end of the 6 year period?
b. What is the total amount (in $) of interest earned in this account?
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Answer:
a) $217,212.10 after 6 years
b) $91,780.99 interest earned
Step-by-step explanation:
The future value of this "annuity due" can be found using the formula ...
FV = P(1 +n/r)((1 +r/n)^(nt) -1)
where P is the periodic payment made n times per year and r is the annual interest rate.
a) After 6 years, the value of the account is ...
FV = $7000(1 +4/0.08)((1 +0.08/4)^(4·6) -1) = $217,212.10 . . . . 6-yr balance
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b) After 8 years, the value in the account is ...
FV = $7000(51)(1.02^32 -1) = $315,780.99
The total of payments is $7000×32 = $224,000, so the interest earned is ...
I = $315,780.99 -224,000 = $91,780.99 . . . interest earned
Please help quickly as possible thank you!
Multiply [tex]Q\cdot P[/tex], quantity and price,
[tex]1.2\cdot5.95=7.14[/tex].
Hope this helps :)
Answer:
$7.14
Step-by-step explanation:
Price of 1 pound cheese=$5.95
Price of 1.2 pounds cheese=$5.95 * 1.2
Price of 1.2 pounds cheese=$7.14
Note:if you need to ask any question please let me know.
30=26-a/6
Solve for a
Answer:
the answer is 24
Step-by-step explanation:
30=26-a\6
collect like terms
30-26 =a\6
4=a\6
Cross multiply
a=4×6
a=24
The solution to the given equation is 24.
The given equation is 30 = 26-a/6.
In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Here, 30 = 26-a/6
Transpose 26 to the other side of the equation, we get
30-26 = -a/6
-4 = -a/6
4 = a/6
Transpose 6 to the other side of the equation, we get
a = 4×6
a = 24
So, the solution is 24.
Therefore, the solution to the given equation is 24.
To learn more about an equation visit:
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Need the answers in 1 minute ASAP
Answer:
d=f(c)=15-c/4
Step-by-step explanation:
-4x+9y=9
x-3y=-6
solve. systems of equations
Answer:
-3x + 6y = 3
Step-by-step explanation:
-4x + x = -3x
9y - 3y = 6y
9 - 6 = 3
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Answer:
(x, y) = (9, 5)
Step-by-step explanation:
My preferred method is to solve a system using a graphing calculator. That result is attached.
__
Here, you can multiply the second equation by 4 and add the first equation.
4(x -3y) +(-4x +9y) = 4(-6) +(9)
-3y = -15 . . . . . . . . . . simplify
y = 5 . . . . . . . . . . . . divide by -3
x -3(5) = -6
x = -6 +15 = 9
The solution is (x, y) = (9, 5).
I know the answer don’t know how though
Answer:
16384Step-by-step explanation:
As,
[tex] {2}^{15} [/tex]
Meaning that 2 multiplied 15 times here,
Equals 32 768
Now,
[tex] {2}^{14} [/tex]
Meaning that 2 multiplied 15 times then divided by one time 2,
Equals 32 768 ÷ 2 = 16384 (Ans)
A geometric sequence grows
Answer: B
Step-by-step explanation:
Temperatures this cold are rare.
Another 8°F colder, and it will be
-40°F.
Pleaae show the work
Answer:
-32°F
Step-by-step explanation:
8°F - 40°F
=> 32°F
find the midpoint of the line segment with endpoints p1 (5/3,5/12) and p2 (-1/3,7/12)
19. Solve 5x^2 - 6x + 1 = 0 using the quadratic formula.
Please give detailed steps!!
Answer:
x = -b ± √b²-4ac /2a
a = 5
b= -6
c= 1
x = -(-6) ± √(-6)² - 4(5)(1) /2(5)
x = 6 ± √36 - 20 / 10
x = 6 ± √16 /10
x = 6 ± 4/10
Breaking into respective signs
x = 6 + 4/10 or 6 - 4/10
x = 10/10 or 2/10
x = 1 or 1/5
x = 1 or 1/5.
Answer:
1/5 and 1
Brainliest, please!
Step-by-step explanation:
5x^2 - 6x + 1 = 0
a = 5, b = -6, c = 1
(-b +-sqrt(b^2 - 4ac))/2a
(-(-6) +-sqrt((-6)^2 - 4(5)(1))/2(5)
(6 +- sqrt(16)/10
(6 +- sqrt(16))/10
(6 +- 4)/10
2/10 and 10/10
1/5 and 1
What is the sum of two comsecutive integers
Answer:
The sum of any two consecutive numbers is always odd. Example, 4 + 5 = 9; –8 + (–7) = –15.
Give the ratio of sin and tan if cos = 5/13
URGENT!!!
Answer: anA=sinAcosA=1213513=1213⋅135=125 .
Step-by-step explanation: your welcome hope this helps
Answer:
[tex] \sin( \theta) = \frac{12}{13} [/tex] = 12:13
[tex] \tan( \theta) = \frac{12}{5} [/tex] = 12:5
Step-by-step explanation:
[tex] \cos( \theta) = \frac{adjacent}{hypotenuse} [/tex]
adjacent is 5
hypotenuse is 13
[tex] \sin( \theta) = \frac{opposite}{hypotenuse} [/tex]
but opposite = √(13² - 5²) = 12
[tex] \tan( \theta) = \frac{opposite}{adjacent} [/tex]
4 over 9 divided by 12 over 27
Answer:
1
Step-by-step explanation:
4/9÷12/27
=4/9×27/12
=3/3
=1
Someone please help
Don’t understand the question
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Answer:
22. E
23. C
Step-by-step explanation:
These questions are asking you to make use of a couple of trig identities for converting products to sums.
sin(x)cos(y) = 1/2(sin(x+y) +sin(x -y))
cos(x)cos(y) = 1/2(cos(x+y) +cos(x -y))
sin(-x) = -sin(x)
cos(-x) = cos(x)
__
22. sin(2β/3)cos(4β/3) = (1/2)(sin((2+4)β/3) +sin((2-4)β/3))
= 1/2sin(2β) +1/2sin(-2β/3) = 1/2sin(2β) -1/2sin(2β/3)
__
23. cos(3θ)cos(5θ) = (1/2)(cos(3θ+5θ) +cos(3θ -5θ)) = 1/2cos(8θ)+1/2cos(2θ)
Based on the picture above, what is the area of the triangle, in units squared?
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Answer:
30 units squared
Step-by-step explanation:
The area is given by ...
A = 1/2bh
A = 1/2(6)(10) = 30 . . . . square units
The area of the triangle is 30 units squared.
Express the formula V=l x w x h in terms of the width, w. Use your formula to find the width when the volume is 192, the length is 8, and the height is 4
Answer:
6
Step-by-step explanation:
192=8*4*w
make w subject to formula
w=192/32
w=6
The expression of width is w = V/(l*h) and the value of width is 6.
What is substitution of equation to find the expression of width ?Given formula of volume is V = l * w * h .
Substituting width (w) from the above equation,
w = V/(l*h) .
Finding the value of width from the expression -Given expression after substitution is w = V/(l*h) .
⇒ w = 192/(8 * 4)
∴ w = 6 .
Thus the value of width is 6.
Therefore, the expression of width is w = V/(l*h) and the value of width is 6.
To learn more about substitution of expression, refer -
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Find the missing terms of the sequence and determine if the sequence is arithmetic
20, 10, 0, -10 -20
Answer:
yes
Step-by-step explanation:
because it follows a procedure which is -10 i.e. 20-10=10
If y = -18 when x = 3, find x when y =30
Answer:
when x = 18. Putting x = 18 into the equation y = 6/x, we have y = 6/18. Simplifying the fraction gives us y = 1/3.
Step-by-step explanation:
Evaluate 5x -3x when x=2
Answer:
4
Step-by-step explanation:
5*2-3*2=10-6=4
As a waitress, Willow earns an average of 19% tips on all food sales. Last week she worked three days and sold an average of $426.00 in food each day. How much did Willow earn in tips last week? (4 points)
$80.94
$102.54
$242.82
Answer:
$242.82
Step-by-step explanation:
16.
Select all transformations that carry rectangle
ABCD onto itself.
A. Rotate by 90 degrees clockwise using center P.
B. Rotate by 180 degrees clockwise using center P.
C. Reflect across line m.
D. Reflect across diagonal AC.
E. Translate by the directed line segment from A to B.
Answer:
I got B and C.
Step-by-step explanation:
When you rotate by 180° you turn it so that it is facing the other way (ie D is B, C is A, etc) since it's a rectangle, when you rotate by 180°, you still have the same rectangle with angles in the same corners. when you reflect across the midpoint, you are just flipping your rectangle over, and so would again have the same effect as turning it 180°.
What is the smallest power of 10 that would exceed 987,654,321,098,765,432?
Use the ^ symbol to represent an exponent.
For example, 52 would be written as 5^2.
Answer:
10¹⁸
Step-by-step explanation:
Ten to the power of x, has x many zeroes behind 1
The original numbers had 18 digits. So, 10¹⁸ is the smallest number that would exceed the original number
Evaluate piecewise functions
f (4) = ?
Answer:
f(4) = 9Step-by-step explanation:
x = 4 corresponds to the middle piece of the function, therefore:
f(4) = 4² - 7 = 16 - 7 = 9A bag contains 15 white balls and 10 black balls,another contains 20 white balls and 15 white balls.if two balls are drawn without replacement from each bag,find the probability that
a)all four are black
b)exactly one of the four are white
Answer:
exactly one of the four are white
Is -2.87 greather than or less than 2.93
Answer:
less than
Step-by-step explanation:
The number is less than 2.93 .
Its absolute value (magnitude) is also less than 2.93 .
√20x²•√20x
PLEASE SHOW STEP BY STEP ON HOW YOU GOT THE ANSWER
Answer:
[tex]20x\sqrt{x}[/tex]
Step-by-step explanation:
[tex]\sqrt{20x^{2} }[/tex] × [tex]\sqrt{20x}[/tex]
= [tex]\sqrt{20x^{2} * 20x }[/tex] | * = ×
=[tex]\sqrt{400x^{3} }[/tex]
=[tex]20x\sqrt{x}[/tex]
Fill in the blanks
Choice for number one:divided by,multiples by,added to,subtracted from
Choice for blank number two:6x18=108,6+18=24, 6+12=18,6x3=18
Choice for blank number 3:6,24,108,3
1) added to
She mixed up multiplying to addition
2) 6x3=18
It should be multiplying because we're comparing, there is also a key word: times as
3) 3
Look back up at 2)!
I hope I've help! If I have or is incorrect, please tell me.
A school store buys pencils in bulk and sells them to students for a small profit. The school pays $2.00 for 100 pencils and sells them for 10 cents each. How many pencils would they have to sell to make a $100 profit?
Answer:
Step-by-step explanation:
Maggies brother is 4 years younger than three times her age the sum of there ages is 28 how old is maggie
Answer:
24
Step-by-step explanation:
Find the distance between (2,0) and (8, -3)
The distance d between the points (Xy, Yı) and (x2, Y2) is
d = Vixz - x,)2 + (y2 - y)2.
O 789
15
13
O 3V5
Answer:
3√5
Step-by-step explanation: