Answer:
r = 2.7%
Step-by-step explanation:
Interest rate compounded continuously
r = ln(A/P) / t
Where,
r = interest rate
A = future value
P = principal
t = time
r = ln(A/P) / t
r = ln(13,006.40/8,000) / 18
= ln(1.6258) / 18
= 0.4860000023303 / 18
= 0.0270000001294
Approximately
r = 0.027
Convert value of r to percentage
r = 0.27 × 100
r = 2.7%
What is the equation of the line that is parallel to the line 6x+3y=4 and has a y-intercept of −6?
Answer:
y=-2x-6
Step-by-step explanation:
Slope intercept form of a line: y=mx+b (m is the slope and b is the y-intercept)
Convert our given line 6x+3y=4 into slope-intercept form to find the slope
Subtract 6x on both sides
3y=-6x+4
Divide 3 on both sides
y=-2x+4/3
The slope of the given line is the coefficient of x, -2
Parallel lines have the same slope, so the equation we're solving for also has a slope of -2
We also know that the y-intercept is -6, so we now have all the info we need to make the equation:
y=-2x-6
a1 + a2 + a3 + a4 + a5
I need help like really bad!
Answer:
The surface area is 644 meters squared
Step-by-step explanation:
:)
which number is closest to -31
A: -28 B: -27 C: -34 D: -33
Answer:
D) -33
Step-by-step explanation:
Answer:
D: -33 as it is like if it was positives just oppositite.
Pls help !! Basically you have to put two math equations with one sentence! Will give brainliest
Answer:
2.
2x+3y=45
x+y=16
3.
x+y=383
4x+6y=2034
4.
y=2x+11
x+y=53
5.
2x+5y=16
5x+2y=19
Step-by-step explanation:
Answer:
Um excuse me u answered my question without answering my question so here we r
Step-by-step explanation:
solve the following equation
x/3 +4 =7
Answer:
Sorry if im wrong..
Step-by-step explanation:
7 = (7 x)/3 + 4 = 21 x + 4 = 7
help me pleaseeeeeeeeee
Find the missing side of the angle.
Need help, thank you!!
Answer:
13
Step-by-step explanation:
a^2 + b^2 = c^2
144 + 25 = [tex]\sqrt{169}[/tex] = 13
Answer:
13
Step-by-step explanation:
pythagorean theorem a^2+b^2=C^2
5^2+12^=x^2
25+144=169
[tex] \sqrt{169} = 13[/tex]
The ratio of cups of orange juice concentrate to water in a punch recipe is 2 : 6. If Kyle used 36 cups of water, how many cups of orange juice concentrate did he use?
help me fast!!!!!!
Step-by-step explanation:
hope this help you have a great day!
Nancy ran a total of 35 miles to train for a race.She ran 2.5 miles each day.How many days did Nancy run to train for the race?
Answer:
14 days
Step-by-step explanation:
you divide the total distance, 35, by the amount of miles ran per day, 2.5, to get 35/2.5=14.
Ellen had 380 legos, but she lost 57 of them, how many legos does she have now?
Answer:
323 legos
Step-by-step explanation:
Steven walked 1,095 feet in his neighborhood. How many yards did Steven walk?
Answer:
365 yards
Step-by-step explanation:
1085/3=365 yds
Hope this helped!!!
who can help me please ?
Patrick collects baseball cards. He currently has 30 cards, and buys 4 new cards a week. How many cards will Patrick have in 12 weeks.
Answer:
The answer would be 78
Step-by-step explanation:
4 x 12 = 48
48 + 30 = 78
Therefore the answer is 78
30 points!!!
√8+√98+√32.
Answer:
13√2 or 18.38478
Step-by-step explanation:
i hope this helps :)
Let us first resolve the given numbers into prime factors.
By prime factorization,
[tex] \longmapsto [/tex] √8 = √( 2 × 2 × 2)
[tex] \longmapsto [/tex] √8 = 2√2
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
[tex] \longmapsto [/tex] √98 = √( 2 × 7 × 7)
[tex] \longmapsto [/tex] √98 = 7√2
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
[tex] \longmapsto [/tex] √32 = √( 2 × 2 × 2 × 2 × 2)
[tex] \longmapsto [/tex] √32 = 2 × 2√2
[tex] \longmapsto [/tex] √32 = 4√2
According to the question,
[tex] \longmapsto [/tex] √8+√98+√32
[tex] \longmapsto [/tex] 2√2 + 7√2 + 4√2
Taking √2 as common.[tex] \longmapsto [/tex] √2(2 + 7 + 4)
[tex] \longmapsto [/tex] √2(13)
[tex] \longmapsto [/tex] 13√2
So, we get that :
√8+√98+√32 → 13√2please help me with this problem about factoring.
Answer:
2x^3(3x^3-5x^4+2)
Step-by-step explanation:
Given: 6x^6-10x^7+4x^3
Factor out x^3: x^3(6x^3-10x^4+4)
Factor out 2: 2x^3(3x^3-5x^4+2)
Always look for what you can factor out.
A kite has A = 120 cm2 and d1 = 16 cm. Identify the length of d2.
Answer:
d₂ = 15 cm
Step-by-step explanation:
The area (A) of a kite is calculated as
A = [tex]\frac{1}{2}[/tex] d₁d₂
Here A = 120, d₁ = 16 , then
[tex]\frac{1}{2}[/tex] × 16 × d₂ = 120
8d₂ = 120 ( divide both sides by 8 )
d₂ = 15 cm
2.2
Jannie receives R150 pocket money per month. In the new year his mother decided to
(3)
increase his pocket in the ratio 6:5. Calculate Jannie's adjusted monthly pocket money.
Answer:
R180
Step-by-step explanation:
Adjusted income = (original pocket money x new ratio) / old ratio
( 6 x $150) / 5 = $180
Which of the segments below is a secant?
A. BO
B. BC
C. AO
The segment BD is secant in the circle. Then the correct answer is option D.
What is a secant?A secant line is a straight line that passes through two points on a circle. The section of the line that connects two separate circle points is known as a chord. A chord is in a unique secant line and every secant line defines a unique chord.
Here we can see in the circle segment BD is passing at two points from the circle. Then BD is the secant of the circle.
Hence, the correct answer is option D.
The complete options are given below:-
A. BO
B. BC
C. AO
D. BD
To know more about secant follow
https://brainly.com/question/23026602
#SPJ5
Answer:
Option A (BD)
Step-by-step explanation:
i liddly just finished it ang got it right
if you can please show work or explain your answer
Answer:
1a 1/4 1b 1/4 2a 5 2b40
Step-by-step explanation:
You finally got promoted to the next grade level. You and your friends go out to celebrate your success at Chuck E Cheeses. The total meal cost $70. There is a 15% tip with the meal. Which expression can you use to calculate the total cost of the meal with tip?
A. 0.15 (70)
B. 1.5 (70)
C. 1.15 (70)
D.11.5 (70)
Answer:
80 dollars and 50 cents.
Step-by-step explanation:
youd first multiply 70 by .15 which would equal 10.5. then add the 70 and 10.5 together. then you get your answer. so the expression youd want to use would be "x=70×.15"
Ordered Pairs REMEMBER! There is only 1 output(y) for each input(x). Is this a function or not? (8,-3) , (3,8) , (9,4) , (-2,2)
answer:
a function
step-by-step explanation:
hello there!
as you said, there is only able one output ( y ) for each input ( x ) for it able to become a function
here is a little example of a "table" to help me explain this a little better for you!
input ( x ) | output ( y)
8 | -3
3 | 8
9 | 4
-2 | 2
since none the inputs have more then one output then that means it is a function
hope this helps you and please let me know if i had made a mistake in the problem, have a wonderful day!! :D
Given that x^6 = 64, which of the following could be the value of 9x^2 + 3x ?
Answer:
42,-42
Step-by-step explanation:
We first solve for x from x^6 = 64, by taking the root of both sides, and we get x = 2,-2
We then plug in both of the x values and get 42,-42
PS: That should be the right answer but you didn't include the possible answers, and I somehow also got 30 when plugging in -2, but just try it yourself to be safe.
Let X be a continuous random variable with probability density function: fX(x) = ( 3 4 x (2 − x) 0 ≤ x ≤ 2 0 otherwise. (a) Determine the cumulative distribution function FX. (b) Let Y = √ X. Determine the cumulative distribution function FY . (c) Determine the probability density of Y
Answer:
attached below
Step-by-step explanation:
Given : FX (x) = 3/4x (2-x) 0 ≤ x ≤ 2
a) Calculate the cumulative distribution function FX
Cdf =
attached below is the detailed solution
b) Let Y = √ X. determine CDF
attached below
c) calculate PDF
The perimeter of a rectangular chicken coop is 30 feet. the width is w feets and the length is w + 4 feet. what is the length and width of the coop
The width and length of the chicken coop are 5.5 feet and 9.5 feet respectively.
What is the perimeter of the rectangle?The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.
The perimeter of a rectangle is given by P = 2L + 2W, where L is the length, W is the width and P is the perimeter.
We know that the width is w feet and the length is w+4 feet.
Given that the perimeter of the chicken coop is 30 feet, we can set up the following equation:
30 = 2(w + 4) + 2w
We can simplify this equation by combining like terms:
30 = 2w + 8 + 2w
30 = 4w + 8
22 = 4w
w = 5.5
So the width of the coop is 5.5 feet.
To find the length of the coop, we can use the information that the width is 5.5 feet and the length is w+4 feet.
The length of the coop is 5.5 + 4 = 9.5 feet
Learn more about the Perimeter of the rectangle here:
brainly.com/question/15287805
#SPJ2
Which improper fraction is equivalent to the mixed number below?
2 5/9
Answer:
4 25/18
Step-by-step explanation:
Share 480 into the ratio 9:7
Answer:
270 : 210
Step-by-step explanation:
total ratio
9 + 7 = 16
ratio 1
480 ÷ 16 =30
ratio 9
30 × 9 = 270
ratio 7
30 × 7 =210
Ann has $ 1, $10, and $20 bills. She has 4 times as many $20 bills as $10 bills. She has 3 times as many $1 bills as $20 bills. She has a total of $204 . Drag and drop the number of $1, $10, and $ 20 bills she has.
Answer:
Ann has 24 $1 bills, 2 $10 bills, and 8 $20 bills.
Step-by-step explanation:
Given that Ann has $1, $10, and $20 bills, and she has 4 times as many $20 bills as $10 bills and 3 times as many $1 bills as $20 bills, taking a total of $204, to determine the number of $1, $10, and $20 bills she has, she needs to perform the following calculation:
1 = 3x20 = 3x4x10 = 12x10
20 = 4x10
10 = 10
(12 x 1) + (4 x 20) + 10 = 12 + 80 + 10 = 102
(24 x 1) + (8 x 20) + (2 x 10) = 24 + 160 + 20 = 204
So Ann has 24 $1 bills, 2 $10 bills, and 8 $20 bills.
find the area of the composite figure
Answer:
60 m squared
Step-by-step explanation:
40+7.5+12.5=60
Write 174% as a fraction in simplest form.
Answer:
The answer should be [tex]\frac{87}{50}[/tex]
Step-by-step explanation:
1.74 = [tex]\frac{174}{100}[/tex] = [tex]\frac{87}{50}[/tex]
Answer:
174% = 87/50 = 1 37/50 as a fraction
Step-by-step explanation:
174% = 174/100
Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(174,100) = 2. So,
(174÷2)/(100÷2) = 87/50 when reduced to the simplest form.
As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 174/100 is also equal to 1 37/50 when expressed as a mixed number.
