Determine the maturity value:
First convert 9.5% to 0.095 and 10 months to 1 year.
\(\begin{gathered} 12\text{months}-\longrightarrow\text{ 1yr} \\ 10\text{months}-\longrightarrow x \\ x=\frac{10}{12}=\frac{5}{6} \end{gathered}\)Rate = 9.5% = 0.095
Recall the formula, Finding Simple Interest,
\(\begin{gathered} I=\frac{\text{PRT}}{100} \\ I=\frac{10200\times0.095\times\frac{5}{6}}{100} \\ I=807.5 \end{gathered}\)Recall the formula, Finding Maturity Value,
Maturity Value = Principal + Interest
\(\begin{gathered} M=P+I \\ M=10200+807.5 \\ M=11007.5 \end{gathered}\)
Therefore the maturity value = $11007.5
Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two
sides of this triangle?
o 5 cm and 8 cm
O 6 cm and 7 cm
O 7 cm and 2 cm
8 cm and 9 cm
Answer:
7 cm and 2 cm
Step-by-step explanation:
the other possible sides add up to more than 13, therefore it cannot be possible to make a triangle with them. Triangle Inequality Theorem.
Answer:
D
Step-by-step explanation:
Please help me solve this fast!
Answer:
1) 7/8 8/7
2) 4.4
3) 3.7
4) 2.8
Step-by-step explanation:
Length of bottom side of Figure A: 8 cm
Length of bottom side of Figure B: 7 cm
From Figure A to Figure B, the scale factor is 7/8.
7/8
8/7
5 × 7/8 = 35/8 = 4.375
4.4
3.2 × 8/7 = 3.657...
3.7
3.2 × 7/8 = 2.8
2.8
The refrigerator part of a refrigerator-freezer has a volume of 27 cubic feet.
The freezer part is 2 feet high, 2 feet deep and 3 feet wide.
What is the total volume of the refrigerator-freezer?
Answer:
39
Step-by-step explanation:
What is the value of X?
Answer:
The horizontal value in a pair of coordinates: how far along the point is. The X Coordinate is always written first in an ordered pair of coordinates (x,y), such as (12,5). In this example, the value "12" is the X Coordinate. Also called "Abscissa"
Step-by-step explanation:
hope this helps sorry if it didn’t
Melinda is at tennis practice. She hits 32 tennis balls a minute. She hit 45 tennis balls before practice. If Melinda hit a total of 1,645 tennis balls, how long was she at practice?
A. 45 minutes
B. 50 minutes
C. 60 minutes
D. 52 minutes
Please give an explanation or a step-by-step process! Thank you
Melinda practice tennis for 50 minutes.
Given,
Number of balls Melinda hits in a minute = 32
Number of balls Melinda hits before practice = 45
Total number of balls Melinda hit = 1645
We have to find the total time Melinda taken for practice:
Number of balls Melinda hits at practice:
= Total number of balls Melinda hit - Number of balls Melinda hits before practice
= 1645 - 45 = 1600
Now,
The total time Melinda taken for practice:
= Number of balls Melinda hits at practice / Number of balls Melinda hits in a minute
= 1600 / 32
= 50
That is, Melinda practice tennis for 50 minutes.
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Multiply.
(2x+6)²
NEED ANSWER ASAPP
Answer:
4x² + 24x + 36
Step-by-step explanation:
(2x + 6)² = (2x + 6)(2x + 6) = 4x² + 12x + 12x + 36 = 4x² + 24x + 36
Please answer this question
Answer:
$40.00 is the answer
Step-by-step explanation:
also can you mark me as a brainlist if you get a chance
Answer: $40.00
Step-by-step explanation:
12 is 30% of 40
Brainliest to who ever is correct!
Answer:
<
Step-by-step explanation:
The bigger the numerator,the smaller it is.
Answer:
i agree <
Step-by-step explanation:
Which percent is equivalent to 2 5/6?
Answer: 283.3333333% (283.3%)
Step-by-step explanation:
First, lets turn 2 5/6 into and improper fraction. It becomes 17/6.
Now, we divide 17/6
17/6 = 2.833333333
Now, to turn it into a percent, we multiply it by 100, or move the decimal point 2 places to the right. That gives us 283.3333333% (283.3%)
Hope this helps!
Dylan is conducting an experiment and wants to choose the ball with the lowest density.
Ball A = diameter 7cm, mass 1.742kg
Ball B = diameter 6cm, mass 1.040kg
4
Volume of sphere =
3 773
Density
= mass = volume
TT = 3.142
Which ball should he choose?
Dylan should choose Ball B which having lowest density.
What is volume of spere?
The volume of a sphere is calculated using the formula volume = 4/3πr³ where r is the sphere's radius.
Given that:
Ball A = diameter 7cm, mass 1.742kg
Ball B = diameter 6cm, mass 1.040kg
As we know that,
volume of a sphere =4/3πr³
1) For Ball A,
volume of a Ball A = 4/3π(3.5)³
volume of a Ball A = 179.6 cm³
given mass for Ball A is 1.742 kg = 1742 g.
So, Density = \(\frac{mass}{volume}\)
Density of Ball A will be 9.7 g/cm³.
2) For Ball B,
volume of a Ball B = 4/3π(3)³
volume of a Ball B = 113.11 cm³
given mass for Ball B is 1.040 kg = 1O40 g.
So, Density = \(\frac{mass}{volume}\)
Density of Ball B will be 9.19 g/cm³.
By comparing density of both balls,
Density of Ball A > Density of Ball B
Hence, Dylan should choose Ball B which having lowest density.
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Given the circle below with chords FG and HI. Find the length of FJ. Round to the nearest tenth if necessary. 9-4 H 21 F J 26 25 G T
Based on the information, EFH and GHF does not have to be congruent.
What are congruent angles?Congruents angles are presented in the figure below. Congruent angles are angles that have the same measure or size. When two angles are congruent, they look exactly the same, even if they are in different orientations.
The symbol used to represent congruence is an equals sign with a tilde above it, like this: ≅. For example, if angle A and angle B have the same measure, we can write it as:
angle A ≅ angle B
Congruent angles play an important role in geometry because they allow us to compare and analyze different shapes and figures. In particular, when two angles are congruent, we can use this fact to make conclusions about other angles and sides of a shape.
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In circle O shown, points E, F, G, and H lie on the circle asshown and chords FH and GE intersect at J. Based on thisinformation alone, which two angles below do not have tobe congruent?m(1) angle FJE and angle HJG(2) angle EFH and angle HGE(3) angle EFH and angle GHF(4) angle FEG and angle FHG
solve equation in one variable algebraically
2x+13=19
Answer:
2x=19-13
2x=6
x=3
Step-by-step explanation:
solve each inequality and graph the solution on the number line
Answer:
1. open circle on the 5 facing left
2.closed circle on the 5 facing right
3.open circle on the 11 facing left
4.open circle on the 3 facing right
5.closed circle on the 7 facing left
6. open circle on the 6 facing right
A number n minus the sum of the number and eight
The algebraic expression for the sentence in this problem is given as follows:
n - (x + 8).
How to obtain the algebraic expression for the sentence?The sentence in this problem is given as follows:
"A number n minus the sum of the number and eight".
The sum of an unknown number x and eight is given as follows:
x + 8.
The subtraction of the number n by the expression is given as follows:
n - (x + 8).
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Simplify the expression 2(6x +7) + 10x
Answer:
2(6x+7)+10x
12x+14+10x
22x+14
Let me know if this helps!
The simplified version of the expression is 22x+14
Step-by-step explanation:
You need to start this by distributing the 2 to the 6x and the 7. When we do this, the expression now becomes 12x+14+10x
From here, we need to combine like terms, such as the 12x and the 10x. From this we get the final form of the expression: 22x+14
The observations 56, 58, 63 x-5 x+1 75 81, 85 have been
arranged in ascending onder of the medias' of the data is 64,
find the value of x
Answer:
The value of x is 66.
Step-by-step explanation:
The median of a data set is the term that separates the lower half of the set from the upper half.
In a set with even cardinality, the median is given by the mean of it's two middle terms.
In this question:
Cardinality: 8
Middle terms: 4th and 5th, which are x - 5 and x + 1.
The median is 64.
This means that:
\(\frac{x - 5 + x + 1}{2} = 64\)
\(2x - 4 = 128\)
\(2x = 132\)
\(x = \frac{132}{2}\)
\(x = 66\)
The value of x is 66.
what is the solution to the equation:
5(n - 1/10) = 1/2
a. n= 13/5
b. n= 3/25
c. n= 0
d. n= 1/5
\( \sf \longrightarrow \: 5 \bigg( \: n - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: 5 \bigg( \: \frac{n}{1} - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: 5 \bigg( \: \frac{10 \times n - 1 \times 1}{1 \times 10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: 5 \bigg( \: \frac{10n - 1}{ 10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: \: \frac{50n - 5}{ 10} = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: \: 2(50n - 5) =1(10) \\ \)
\( \sf \longrightarrow \: \: 2(50n - 5) =10 \\ \)
\( \sf \longrightarrow \: \: 100n - 10=10 \\ \)
\( \sf \longrightarrow \: \: 100n =10 + 10\\ \)
\( \sf \longrightarrow \: \: 100n =20\\ \)
\( \sf \longrightarrow \: \:n = \frac{2 \cancel{0}}{10 \cancel{0}} \\ \)
\( \sf \longrightarrow \: \:n = \frac{1}{5} \\ \)
Answer:-
Answer:- D) n = ⅕ ✅To solve the equation \(\sf 5(n - \frac{1}{10}) = \frac{1}{2} \\\) for \(\sf n \\\), we can follow these steps:
Step 1: Distribute the 5 on the left side:
\(\sf 5n - \frac{1}{2} = \frac{1}{2} \\\)
Step 2: Add \(\sf \frac{1}{2} \\\) to both sides of the equation:
\(\sf 5n = \frac{1}{2} + \frac{1}{2} \\\)
\(\sf 5n = 1 \\\)
Step 3: Divide both sides of the equation by 5 to isolate \(\sf n \\\):
\(\sf \frac{5n}{5} = \frac{1}{5} \\\)
\(\sf n = \frac{1}{5} \\\)
Therefore, the solution to the equation \(\sf 5(n - \frac{1}{10})\ = \frac{1}{2} \\\) is \(\sf n = \frac{1}{5} \\\), which corresponds to option (d).
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♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
what is the are of the square?(look at photo)
Answer:
0.36 or 9/25
Step-by-step explanation:
3/5*3/5
Answer:
2.4 use a scientific calculator like desmos it will really help:)
Step-by-step explanation:
Redundant Array of Inexpensive Discs (RAID) is a technology that uses multiple hard drives to increase the speed of data transfer and provide instant data backup. Suppose that the probability of any hard drive failing in a day is 0.003 and the drive failures are independent. Round your answers to six decimal places (e.g. 98.765432). a.Suppose you implement a RAID 1 scheme that uses two hard drives each containing a mirror image of the other. What is the probability of data loss? Assume that data loss occurs if both drives fail within the same day. b.Suppose you implement a RAID 0 scheme that splits the data over two hard drives. What is the probability of data loss? Assume that data loss occurs if a t le a s t one drive fails within the same day.
For RAID 1, the probability of data loss is 0.000009 and for RAID 0, the probability of data loss is 0.006.
a. The probability of data loss in a RAID 1 scheme is calculated by multiplying the probability of drive failure with itself, since both drives need to fail in order for data loss to occur. The formula is P(data loss) = P(drive 1 failure) × P(drive 2 failure). In this case, P(data loss) = 0.003 × 0.003 = 0.000009.
b. The probability of data loss in a RAID 0 scheme is calculated by adding the probability of drive failure of each drive, since only one drive needs to fail in order for data loss to occur. The formula is P(data loss) = P(drive 1 failure) + P(drive 2 failure). In this case, P(data loss) = 0.003 + 0.003 = 0.006.
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34(x+6)=(3x-2)
find x
Answer:
The answer to x is x= −206 /31
Step-by-step explanation:
Simplify both sides of the equation.
34(x+6)=3x−2
(34)(x)+(34)(6)=3x+−2(Distribute)
34x+204=3x+−2
34x+204=3x−2
Subtract 3x from both sides.
34x+204−3x=3x−2−3x
31x+204=−2
Subtract 204 from both sides.
31x+204−204=−2−204
31x=−206
Divide both sides by 31.
31x /31 = −206/ 31
x= −206 /31
Answer: x= −206 /31
Sonia takes a 4/5 mile walk every day. What part of her walk has she completed once she has walked 3/5 miles
It is given that Sonia takes 4/5 mile walk everyday.
Consider 4/5 represent the 100%
so using the proportion we can determine which part of her walk she completed once she has walked 3/5 miles.
Find out what percentage represent 3/5
Let
x -----> the percentage that represent 3/5
Then convert to fraction number
\(\frac{\frac{4}{5}}{100}=\frac{\frac{3}{5}}{x}\)\(\frac{4}{500}=\frac{3}{5x}\)\(x=\frac{3\times500}{20}=75\)Therefore , the value of x in percentage is 75 percent.
Convert into fraction number.
\(\frac{75}{100}=\frac{3}{4}\)Hence , she has completed 3/4 of her walk once she has walked 3/5 miles.
4. = 38 -8(n-1), n=1, 2, 3...
Answer:
\(38-8\left(n-1\right),\:n=123:\quad -938\)
\(\mathrm{For}\:38-8\left(n-1\right)\:\mathrm{substitute}\:n\space\mathrm{\:with\:}\space123\)
\(38-8(123-1)= -938\)
\(-938\)
Step-by-step explanation:
Shawn is collecting money from students at his school for a charity. The table gives the ratios of the number of students who have donated and the amount of money he has collected from them. Complete the table to form equivalent ratios. 9. 35. 5. 75. 1.
Answer:
see below.
Step-by-step explanation:
since 30 is 1/3 of 90, we know the ratio is 1:3.
in order of blank boxes going from left to right then down
1, 9, 5, 75, 35
PLEASE HELP ME WORTH ALOT OF POINTS
Which of the following are geometric sequences? Select all correct answers.
Answer:
A, B, E
Step-by-step explanation:
Notice that A, B, and E all maintain their common ratios, while C and D do not.
A Ferris wheel at a carnival has a diameter of 72 feet. Suppose a passenger is traveling at 5 miles per hour. (A useful fact: =1mi5280ft.)
(a) Find the angular speed of the wheel in radians per minute.
(b) Find the number of revolutions the wheel makes per hour. (Assume the wheel does not stop.)
a) The Ferris wheel has an angular speed is 12.222 radians per minute.
b) The Ferris wheel makes 116.712 revolutions in an hour.
How to understand and analyze the kinematics of a Ferris wheel
Kinematics is a branch of mechanical physics that studies the motion of objects without considering its causes. In other words, kinematics studies displacements, velocities and accelerations in translation, rotation and combined motion. In this case we find a Ferris wheel rotating around its axis at constant rate.
a) Then, the angular speed (ω), in radians per minute, is determined by the following product:
ω = v / R
Where:
v - Linear velocity at the rim of the Ferris wheel, in feet per second.R - Radius of the Ferris wheel, in feet.Please notice that the length of the radius is the half of the length of the diameter.
If we know that v = 5 mi / h and R = 36 feet, then the angular speed of the wheel is:
ω = [(5 mi / h) · (1 h / 60 min) · (5280 ft / 1 mi)] / [(0.5) · (72 ft)]
ω = 12.222 rad / min
The angular speed is 12.222 radians per minute.
b) A revolution is equal to an angular displacement of 2π radians and an hour is equal to 60 minutes. Then, we can derive the number of revolutions in an hour by dimensional analysis:
n = (12.222 rad / min) · (1 rev / 2π rad) · (60 min / h)
n = 116.712 rev / h
There are 116.712 revolutions in an hour.
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An old cell phone battery would last for 16 hours. The new battery lasts 25% longer. How long will the new battery last?
Answer:
20 hours
Step-by-step explanation:
To find the answer, you first should find out how long is 25% of the original battery life, 16 hours. To find this, you can divide 16 by 4, or multiply 16 by 0.25. Either works.
16/4=4.
So the new battery lasts 4 hours more than the old battery. Then, add this to the original length to find how long the new battery will last in total.
16+4=20
You model your investment account using the formula y = 20000(1.035)x where x represents the
number of years and y represents the account balance after x years. What is the growth rate of your
investment?
Answer:
Step-by-step explanation:
The growth rate of the investment is represented by the constant multiplier in the exponential term of the formula y = 20000(1.035)x. In this case, the constant multiplier is 1.035, which represents the annual growth rate of the investment account.
To calculate the growth rate as a percentage, we can subtract 1 from the constant multiplier, and then multiply the result by 100.
So, the growth rate of the investment is:
1.035 - 1 = 0.035
0.035 * 100 = 3.5%
Therefore, the growth rate of the investment is 3.5%.
(Pythagorean Theorem, Right Angle) for 100 POINTS!
(Will even give Branliest for this easy work)
Are these answers correct?
Step-by-step explanation:
there is nothing missing. this is a complete proof.
yes, the various steps are correct.
MATHS 1.Tea is prepared almost in every household. Try to find out the ratio of milk to water added to prepare two cups of tea. Similarly, almost every recipe needs ingredients in a fixed ratio. Try to find out the ratio of ingredients used in your favourite dish.
Ratios are used to compare quantities of different measures
Forms
Ratios are represented in any of the following forms
Ratio = a : bRatio = a / bFor three quantities, the ratio would be
Ratio = a : b : cExamples
Assume the proportion of milk and chocolate is 1 to 2.
The ratio would be represented as:
Milk : Chocolate = 1 : 2Other possible examples are:
Water : Honey = 5 : 3Rice : Beans = 4 : 1Read more about ratios and proportions at:
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