Answer:
Principle for account B is greater.
Step-by-step explanation:
First of all, let us have a look at the formula for Simple Interest:
[tex]SI =\dfrac{PRT}{100}[/tex]
Where [tex]P[/tex] is the principle amount
[tex]R[/tex] is the Rate of interest per annum
[tex]T[/tex] is the time in years.
Time = 21 months = [tex]\frac{21}{12}\ yrs[/tex]
[tex]R_1 = 3\% \\R_2=4\%[/tex]
Let the Principles be [tex]P_1, P_2[/tex].
Using the formula for Simple Interest, we get:
[tex]SI_1=\dfrac{P_1\times 3\times 21}{100\times 12}\\\Rightarrow 15.75=\dfrac{P_1\times 3\times 21}{100\times 12}\\\Rightarrow P_1 = 300[/tex]
[tex]SI_2=\dfrac{P_2\times 4\times 21}{100\times 12}\\\Rightarrow 28=\dfrac{P_2\times 3\times 21}{100\times 12}\\\Rightarrow P_2 = 533.33[/tex]
Therefore, principle for account B is greater.
Sapphire and Abe are shelving books at a public library. Sapphire shelves 12 books at a time, whereas Abe shelves 18 at a time. If they end up shelving the same number of books, what is the smallest number of books each could have shelved.
Answer: 36
Step-by-step explanation:
Given: Sapphire shelves 12 books at a time, whereas Abe shelves 18 at a time.
If they end up shelving the same number of books, what is the smallest number of books each could have shelved = LCM (12,18)
12 = 2 x 2 x 3
18 = 2 x 3 x 3
LCM (12, 18) = 2 x 2 x 3 x 3 = 36
Hence, the smallest number of books each could have shelved = 36
Answer:
36
Step-by-step explanation:
nrly
What is the equation of the line that passes through the point (8,-8) and has a
slope of – 12
Answer:
y + 8 = -12(x - 8)
General Formulas and Concepts:
Algebra I
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeStep-by-step explanation:
Step 1: Define
Point (8, -8)
Slope m = -12
Step 2: Write Function
Substitute variables into general form.
y + 8 = -12(x - 8)
y=10x+6, what is the y intercept?
Answer:
6
Step-by-step explanation:
I hope this helps :)
What is the value of n that would make the following radical expression true?
[tex]\sqrt[n]{1000x^{5} } y^{7} =10xy^{2} \sqrt[n]{x^{2}y }[/tex]
n=?
Answer: 3
Step-by-step explanation:
Answer:
n = 3
Step-by-step explanation:
dont remember exactly how we did it in class but went through this question
why functions are multiplied,
Answer:
Dividing two functions works in a similar way.
Step-by-step explanation:
PLEASE HELP!!! WILL GIVE BRAINLIEST!!!
Answer:
112 degrees
Step-by-step explanation:
The other 2 interior angles are (180-44)/2 which is 68.
180 (straight line) -68 = 112
Solve for s.
12s=72
s = 17
s = 27
s = 3
s = 7
Answer: s = 6
Step-by-step explanation:
just simply divide both sides.
12s / 12 = 72 / 12
s = 6
A scale factor of 5 was applied to a triangle. What would be the new length of the height and width of the triangle?
Answer:
haaaahhhhhhhhhaaaaaa
Step-by-step explanation:
Plz can you help me out with this question..
Answer:
86%
Step-by-step explanation:
The mean is calculated as
mean = [tex]\frac{sum}{count}[/tex]
The sum for the class is calculated as
[tex]\frac{sum}{30}[/tex] = 70 ( multiply both sides by 30 )
sum = 2100
The sum of the 20 boys is
[tex]\frac{sum}{20}[/tex] = 62 ( multiply both sides by 20 )
sum = 1240
The sum for the 10 girls is therefore 2100 - 1240 = 860
Thus the mean mark for the girls is
mean = [tex]\frac{860}{10}[/tex] = 86%
what is the answer to this?
Answer:
m∠4 = 55°
Step-by-step explanation:
From the figure attached,
m∠DBC = m∠BCA + m∠BAC [Exterior angle of a triangle equals the sum of the remote interior angles]
m∠4 = 30° + 25° = 55°
Therefore, m∠4 = 55° will be the answer.
(02.01)
Solve for x
2/3(x - 2) = 4x (1 point)
Select one
2.
a
5
5
2
с
2.
5
d. 5
Answer:
x=-2/5
Step-by-step explanation:
Q1. The speed limit on a road is 40km/h. A scooter drives 9
kilometers in 15 minutes. Is the scooter breaking the speed limit?
step by step explanation plz
PLEASE ANSWER! 15 POINTS
Answer: 13/15
Step-by-step explanation:
1/5 + 2/3 = 13/15. Since 13/15 can’t be simplified, that’s your answer.
Write an equivalent fractions for 3/7 and 1/3 using 21 as the common denominator
Answer:
9/21 & 7/21
Step-by-step explanation:
Equivalent fraction for [tex]\frac{3}{7}[/tex] and [tex]\frac{1}{3}[/tex] using 21 using as the common denominator are [tex]\frac{9}{21} ,\frac{7}{21}[/tex].
What are equivalent fraction?"Equivalent fraction is fraction with different numerator or denominator
that represents the same value or proportion of the whole."
What is common denominator?"Common denominator is the same denominator of all the fraction"
We have to write an equivalent fractions for [tex]\frac{3}{7}[/tex] and [tex]\frac{1}{3}[/tex] using 21 as common denominator.
As we know when we multiply [tex]7[/tex] by [tex]3[/tex] to get [tex]21[/tex]
and we have to multiply [tex]3[/tex] by [tex]7[/tex] to get [tex]21[/tex]
⇒[tex]\frac{3}{7}=\frac{3}{7}[/tex]×[tex]\frac{3}{3}=\frac{9}{21}[/tex]
⇒[tex]\frac{1}{3}=[/tex][tex]\frac{1}{3}[/tex]×[tex]\frac{7}{7}=\frac{7}{21}[/tex]
Hence, Equivalent fraction for [tex]\frac{3}{7}[/tex] and [tex]\frac{1}{3}[/tex] using 21 as common denominator are [tex]\frac{9}{21} ,\frac{7}{21}[/tex].
Learn more about Equivalent fraction and common denominator here
https://brainly.com/question/26277885
#SPJ2
What are the factors of 10x^3+24x^2+14x
Answer:
2x(x+1)(5x+7)
Step-by-step explanation:
10x^3+24^2+14
2(5x^3+12x+7)
2x(5x^2+12x+7)
2x(x+1)(5x+7)
2x(2x+1)(5x+7)
Giving brainlest plz help me fast!!! I know this is physics but its also math (Look its math in science ok)
Interpreting Velocity vs Time Graphs
A graph titled velocity versus time has horizontal axis time (seconds) and vertical axis velocity (meters per second). A line has 3 straight segments. Line segment A runs from 0 seconds 0 meters per second to 4 seconds 40 meters per second. Then segment B runs to 9 seconds 40 meters per second. Then segment C runs to 10 seconds 10 meters per second.
Use the graph to determine acceleration and velocity.
Which segments show acceleration?
What is the velocity of segment B?
Choices for the first question:
A. A and B
B. A and C
C. B and C
Choices for the second question:
A. 8 m/s
B. 10 m/s
C. 40 m/s
D. - 40 m/s
Answer:
The velocity is being plotted. The velocity value indicates how fast the object is moving.
Step-by-step
C on the first one and C on the second one lol
Give brainlest PLZZZ
Answer:
its b to 9 seconds 40 meters per second
Step-by-step explanation:
the test was right
Please help brainiest will give you!
Find the slope of it!
A. -3
B. -1/3
C. 1/3
D. 3
Thanks!!!!!!
Answer:
the answer is D
Step-by-step explanation:
......................
Answer:
-1/3
Step-by-step explanation:
What is the domain of the function represented by the graph?
I need help with both 17 and 18! WILL MARK AS BRANLIEST, PLEASE HELP ASAP!!
Answer:
17. $2194.80; 18. $1147.20
Step-by-step explanation:
I=prt; I = interest, p = principle, r = rate, t = time
plug in and go
17.
I = 1860(.06)3
I = 1860(.18)
I = 334.8
334.8 + 1860 + $2194.80
18.
I = 960(.065)3
I = 960(.195)
I = 187.2
187.2 + 960 = $1147.20
z = -400i - 44.5
What is the imaginary part of z?
Answer:
-400i
General Formulas and Concepts:
Algebra II
Complex Form: a + biStep-by-step explanation:
Step 1: Define
z = -400i - 44.5
Step 2: Identify
Treat imaginary i as a variable. The imaginary part of z would be the entire term of i. Therefore, our answer is -400i
If m∠13=2x-3 and m∠15=71°, find the value of x.
Show work please
Here ∠13 & ∠15 are corresponding angles , so they are equal [ ∠13 = ∠15 ]
As per the question ,
⇒ 2x - 3 = 71°
⇒ 2x = 71 + 3
⇒ 2x = 74
⇒ x = 74 ÷ 2
⇒ x = 37
Hence , x = 37
Can someone put this into slope intercept form?
4x + y *insert greater than or equal to sign here* 2
i’ll give brainliest to first person with an actual answer
(20 point question)
Answer:
y>=-4x+2
Step-by-step explanation:
Answer:
Greater than 2
Step-by-step explanation:
Have trust
one of u guys helped me but they keep returning it saying show your work>:(
Answer:
36
Step-by-step explanation:
16*2 = 32
16*1/4 = 4
32+4 = 36
Answer: She will need 36 yards of material.
Step-by-step explanation:
16 × 2¹/₄ can be done different ways,
First multiply ¹/₄ times 16. that is the same as dividing 16/4 = 4
Then multiply 2 times 16 2×16 = 32
Add 32 + 4 = 36
Another way is to change 2¹/₄ to an improper fraction and multiply
⁹/₄ × 16
16
×9
54
+9
144
144/4 = 36
Write 45 as a product of primes. Use index notation when giving your answer.
Answer:
9*5=45
3*3*5=45
Therefore:
3^2 *5 = 45
i hope this helps :)
The following are the last 10 run scores Colin got in cricket:
32, 2, 0, 25, 34, 24, 6, 23, 17, 34
a) Work out Colin's mean score.
b) Colin plays cricket again on Sunday. He gets 23 runs.
What is his new mean score?
Give your answers as decimals.
Given : last 10 run scores Colin got in cricket: 1, 16, 5, 25, 26, 32, 5, 7, 1, 7
Colin plays cricket again on Sunday. He gets 29 runs.
To find : a) Work out Colin's mean score.
b) What is his new mean score
Solution:
last 10 run scores Colin got in cricket
1, 16, 5, 25, 26, 32, 5, 7, 1, 7
Total Score = 1 + 16 + 5 + 25 + 26 + 32 + 5 + 7 + 1 + 7 = 125
Total Innings = 10
Mean Score = 125/10 = 12.5
Colin plays cricket again on Sunday. He gets 29 runs.
=> New Total Score = 125 + 29 = 154
New Total Innings = 10 + 1 = 11
New Mean Score = 154/11 = 14
Mean Score = 12.5
New Mean Score = 14
Hope this helps! ;)
Answer:
The following are the last 10 run scores Colin got in cricket:
32, 2, 0, 25, 34, 24, 6, 23, 17, 34
a) Work out Colin's mean score.
b) Colin plays cricket again on Sunday. He gets 23 runs.
What is his new mean score?
Give your answers as decimals.
Step-by-step explanation:
The sum of the digits of a two digit number is 10. If 36 is subtracted from the number, the digit interchange their places Find the number
Step-by-step explanation:
Let A be the tens digit of the number and B be the ones digit.
We have A + B = 10 and 10A + B - 36 = 10B + A.
=> A + B = 10 and 9A - 36 = 9B
=> A + B = 10 and A - 4 = B
=> A + B = 10 and A - B = 4
Therefore 2A = 10 + 4 = 14,
A = 7 and B = 10 - 7 = 3.
Hence the number is 73.
PLEASE HELLPPPPP
A population, P, of birds is doubling in size every year, according to the model P=100(2^t), where T represents years. What was the initial population size? Show work.
Answer: The above Table 1 will calculate the population size (N) after a certain length of time (t). All you need to do is plug in the initial population number (No), the growth rate (r) and the length of time (t). The constant (e) is already entered into the equation. It stands for the base of the natural logarithms (approximately 2.71828). Growth rate (r) and time (t) must be expressed in the same unit of time, such as years, days, hours or minutes. For humans, population growth rate is based on one year. If a population of people grew from 1000 to 1040 in one year, then the percent increase or annual growth rate is 40/1000 x 100 = 4 percent. Another way to show this natural growth rate is to subtract the death rate from the birth rate during one year and convert this into a percentage. If the birth rate during one year is 52 per 1000 and the death rate is 12 per 1000, then the annual growth of this population is 52 - 12 = 40 per 1000. The natural growth rate for this population is 40/1000 x 100 = 4%. It is called natural growth rate because it is based on birth rate and death rate only, not on immigration or emigration. The growth rate for bacterial colonies is expressed in minutes, because bacteria can divide asexually and double their total number every 20 minutes. In the case of wolffia (the world's smallest flowering plant and Mr. Wolffia's favorite organism), population growth is expressed in days or hours.
Each wolffia plant is shaped like a microscopic green football with a flat top. An average individual plant of the Asian species W. globosa, or the equally minute Australian species W. angusta, is small enough to pass through the eye of an ordinary sewing needle, and 5,000 plants could easily fit into thimble.
See Straight Pin & Sewing Needle Used In Wayne's Word Articles
There are more than 230,000 species of described flowering plants in the world, and they range in size from diminutive alpine daisies only a few inches tall to massive eucalyptus trees in Australia over 300 feet (100 m) tall. But the undisputed world's smallest flowering plants belong to the genus Wolffia, minute rootless plants that float at the surface of quiet streams and ponds. Two of the smallest species are the Asian W. globosa and the Australian W. angusta. An average individual plant is 0.6 mm long (1/42 of an inch) and 0.3 mm wide (1/85th of an inch). It weighs about 150 micrograms (1/190,000 of an ounce), or the approximate weight of 2-3 grains of table salt. One plant is 165,000 times shorter than the tallest Australian eucalyptus (Eucalyptus regnans) and seven trillion times lighter than the most massive giant sequoia (Sequoiadendron giganteum).
See Photo Of Massive Giant Sequoia Tree
See Photo Of The Australian Wolffia angusta
See Photo Of The Indian Wolffia microscopica
See Additional Color Images Of Wolffia Species
The growth rate for Wolffia microscopica may be calculated from its doubling time of 30 hours = 1.25 days. In the above population growth equation (N = Noe rt), when rt = .695 the original starting population (No) will double. Therefore a simple equation (rt = .695) can be used to solve for r and t. The growth rate (r) can be determined by simply dividing .695 by t (r = .695 /t). Since the doubling time (t) for Wolffia microscopica is 1.25 days, the growth rate (r) is .695/1.25 x 100 = 56 percent. Try plugging in the following numbers into the above table: No = 1, r = 56 and t = 16. Note: When using a calculator, the value for r should always be expressed as a decimal rather than a percent. The total number of wolffia plants after 16 days is 7,785. This exponential growth is shown in the following graph where population size (Y-axis) is compared with time in days (X-axis). Exponential growth produces a characteristic J-shaped curve because the population keeps on doubling until it gradually curves upward into a very steep incline. If the graph were plotted logarithmically rather than exponentially, it would assume a straight line extending upward from left to right.
Sixteen days of exponential growth in Wolffia microscopica.
Wolffia plants have the fastest population growth rate of any member of the kingdom Plantae. Under optimal conditions, a single plant of the Indian species Wolffia microscopica may reproduce vegetatively by budding every 30 hours. One minute plant could mathematically give rise to one nonillion plants or 1 x 1030 (one followed by 30 zeros) in about four months, with a spherical volume roughly equivalent to the size of the planet earth! Note: This is purely a mathematical projection and in reality could never happen!
Step-by-step explanation:
i need help with this practice problem
Answer:
Step-by-step explanation:
V of a sphere is (4/3)*pi*r³, and because we have 3 scoops
V = 3* (4/3) * 3.14 * 4³ = 4* 3.14 * 4³ = 803.84 cm³
Write 41/10 as a fraction
Answer:
41/10
Step-by-step explanation:
Answer:
Based on what you asked i think the answer would be 4 1/10
Step-by-step explanation:
What is the solution to the system of equations below?
Y= -1/3x +6 and x=-6
O (-6, 8).
O (-6, 4).
O (8, -6).
O (4, -6)
Answer:
O (8, -6)
Step-by-step explanation:
brainiest plz
Answer:
(-6,8)
Step-by-step explanation:
Have a good day