Jon Deposits $7,050 into an account paying 5% annual interest compounded quarterly and Sara deposits $4,867 into an account paying 10% annual interest compounded daily who will have more money after 1 year? How much more will that person have? Show and explain all work.
Answers
Juan will have more amount money after a year and with a difference of $2048.3.
What is compound interest?Compound interest is the interest you earn on interest.
For example if you have $100 and it earns 5% interest each year, you'll have $105 at the end of the first year. At the end of the second year, you'll have $110.25.
The total amount in compound interest is expressed as;
A = P( 1+r/n)^{nt}
where p is the principal, r is the rate and n is the interval at which its compounded.
For Jon
P = $7050, r = 5% = 0.05, n = 1/4 of 12 = 3
A = 7050( 1+0.05/3)^{3×1}
A = 7050( 1.017)³
A = 7050 × 1.052
A = $7416.6
Therefore the total amount for Juan after a year is $7416.6
For Sara,
P = $4867, r = 10% = 0.1 , t = 1.,.n = 365
A = 4867( 1+ 0.1/365) ^{365×1)
A = 4867( 1.00027)^365
A = 4867 × 1.103
A = $5368.3
therefore the total amount for Sara after a year is $5368.3
Therefore Juan will have more money after a year and with a difference of $2048.3
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Related Questions
Following the 2014 national midterm
election, 18% of the governors of the 50 United States we’re female
Answers
Parameter, Because the data set οf all 50 gοvernοrs οf the United States is a pοpulatiοn.
What is the percentage?A percentage is a ratiο, fractiοn, οr pοrtiοn οf a whοle which is represented as 100. The wοrd percent cοmes frοm the Latin phrase per centum which means "by the hundred" οr per οne hundred. Percentages can be represented with a numerical value fοllοwed by the percent symbοl (%).
In statistics, a parameter is a numerical value that describes a pοpulatiοn, while a statistic is a numerical value that describes a sample.
In the given statement, it is nοt clear if the value οf 18% is based οn the entire pοpulatiοn οf all gοvernοrs in the United States οr just a sample οf them.
If the statement is based οn the entire pοpulatiοn, then 18% wοuld be a parameter.
Hοwever, if the statement is based οn a sample οf the gοvernοrs, then 18% wοuld be a statistic.
Hence, Parameter, Because the data set οf all 50 gοvernοrs οf the United States is a pοpulatiοn.
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Complete question:
Determine whether the underlined value is a parameter or a statistic.
Following the election, 18% of the governors of the 50 United States were female.
Is the value a parameter or a statistic?
Statistics
Parameter
what's the perimeter for 15 and 9 rectangle
Answers
Answer:
48
Step-by-step explanation:
formula: 2L+2w=P
15+15=30
9+9=18
30+18=48
Which of the following would you see on a circle graph?
OA. Percentages
OB. Bars
C. Points
OD. A y-axis
Answers
A, percentages
You would see percentages on a circle graph, because it's how many parts of the whole that they take up.
Happy to help, have a great day! :)
Can I please get some help I’ve been stuck on this question for a while!
Answers
Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes
How many minutes of the ride are spent higher than 28 meters above the ground?The radius of the Ferris wheel is 30 / 2 = 15 meters.
The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.
The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.
The angle between these two positions is 180 degrees.
The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.
Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.
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6) 1,1,3,8,19, 41
a) 60
b) 81
c) 90
d) 101
Analogias
Answers
The next term in the sequence is 98. None of the given options (60, 81, 90, 101) match the expected next term. None of the option is correct.
To find the pattern in the sequence 1, 1, 3, 8, 19, 41, we can examine the differences between consecutive terms:
1 1 3 8 19 41
0 2 5 11 22
Looking at the differences, we can observe that each subsequent difference is obtained by adding consecutive odd numbers: 2, 3, 4, 5, etc. This suggests that the original sequence may be related to square numbers.
Let's check if the differences between consecutive terms are square numbers:
2 = 1²
5 = 2² + 1²
11 = 3² + 2²
22 = 4² + 3²
Based on this pattern, we can make a reasonable assumption that the next difference should be 5² + 4² = 41 + 16 = 57. Adding this difference to the last term of the sequence (41), we get the next term:
41 + 57 = 98
Therefore, the next term in the sequence is 98. None of the given options (60, 81, 90, 101) match the expected next term.
Hence, none of the given options accurately continue the pattern of the sequence. It's important to note that patterns in sequences can sometimes have multiple possible interpretations, and it's always essential to consider alternative patterns or extend the sequence further to confirm the pattern.
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A lateral thoracic spine on a 33-cm patient is usually taken using 100 mA (large focal spot), 0.5 seconds, 86 kVp, 40-inch SID, 12:1 grid ratio. If the mA is increased to 400 to stop motion blur from tremors, which of the following technique changes will produce a radiographic density and contrast most similar to the original?
Answers
A 0.13 sec and a 86 kVp technical changes are the changes that would have to produce the radiographic density and the contrast that are more similar to the original.
What is the radiographic density?The radio graphic density can de defined to be the total amount or the overall darkening that can be found in a particular radiograph. This is usually known to have a certain type of density range that lies between 0.3 to 2.0 density.
When there is a density that is less than 0.3, the problem is basically because there is the issue of the density which would be found at the base and the fact that the film that is being used has fog in it.
It is known that based on the values that we have here the density and contrast would have to be of the given kvp of 86 and 0.13 seconds in order to be said to be similar to the original.
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Please help and please put all calculations
Answers
Answer:
if you're finding out that top corner it will be 64 because a right angle is 90 then 90+26= 116 and 180-116= 64
a computer that normally cost 500 dolars was on sale for 200 dollars. what is the percent decrease. please show work for brainlist
Answers
Answer:
(100/500) *200 =40%
Step-by-step explanation:
A fruit conserve contains blackcurrants and redcurrants in
There are 300 g of redcurrants in the conserve.
b How much fruit is there altogether in the conserve?
a How many grams of blackcurrants are there in the conserve?
the ratio 5:2.
Answers
Answer:
Mass of blackcurrants = 750 gram
Total conserve = 1,050 gram
Step-by-step explanation:
Given:
Mass of redcurrants = 300 gram
Blackcurrants : Redcurrants = 5 : 2
Find:
Mass of blackcurrants
Total conserve
Computation:
Mass of blackcurrants = 300 x (5/2)
Mass of blackcurrants = 750 gram
Total conserve = Mass of blackcurrants + Mass of redcurrants
Total conserve = 750 + 300
Total conserve = 1,050 gram
2 more than 9 times a number is -25 find the number
Answers
Answer:
-3
Step-by-step explanation:
Let the number be x
2 + 9x= - 25
9x= - 27
x= - 3
Find the distance from point B to point C.
Enter as a decimal rounded to the nearest tenth.
58°
6 mi
B
BC = [?] mi
Answers
Using relations in a right triangle, it is found that the distance from point B to point C is of 3.75 miles.
What is the missing information?The right triangle is missing, which shows that:
The side adjacent to the angle of 58º is of 6 mi.The side opposite to the angle of 58º is of BC.Hence, we can apply the relations in the right triangle given to find the length of side BC, which is the distance from point B to point C.
What are the relations in a right triangle?The relations in a right triangle are given as follows:
The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.Hence:
tan(58º) = 6/BC
BC = 6/tan(58º)
BC = 3.75 miles.
The distance from point B to point C is of 3.75 miles.
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PLEASE ANSWER FAST
which two numbers which have an absolute value that is greater than the absolute value of 4 1/4
a) -4
b) -5
c) 3
d) 2
e) 6
Answers
Answer: b) and a)
Step-by-step explanation:
Cause absolute value is the opposite of the number
An ordered pair satisfies the equation is the point on the ____ line
Answers
Answer:megan thee stallion
Step-by-step explanation:
mehgan
Determine whether AB and MN are parallel, perpendicular, or neither. 7. A(0, 3), B(5, -7), M(-6, 7), N(-2,-1)
Answers
Answer:
7. AB and MN are parallel lines
Explanation:
Two lines are parallel if they have the same slope and two lines are perpendicular if the product of their slopes is equal to -1.
So, to find the slope m of a line we can use the following equation:
\(m=\frac{y_2-y_1}{x_2-x_1}\)Where (x1, y1) and (x2, y1) are two points in the line.
So, the slope of AB is calculated replacing (x1, y1) by A(0,3) and (x2, y2) by (5, -7). Then:
\(m=\frac{-7-3}{5-0}=-\frac{10}{5}=-2\)In the same way, the slope of MN is calculated replacing (x1, y1) by M(-6, 7) and (x2, y2) by (-2,-1). So:
\(m=\frac{-1-7}{-2-(-6)}=\frac{-8}{-2+6}=\frac{-8}{4}=-2\)Since the slopes of AB and MN are both equal to -2, AB and MN are parallel lines.
Determine if ✓ 8 is rational or irrational and give a reason for
a reason for your answer.
Answers
Can you please help me
Answers
Answer:
first graph
Step-by-step explanation:
x > n
the graph will have an open circle at the value n , indicating that x cannot equal n ( note solid circle if x ≥ n )
the arrow from n will point in the right direction, indicating values of x greater than n.
the graph representing x > n is the first graph
find the area of the circle which is circumscribed about the right triangle with legs 6 and 8
Answers
The area of the circle circumscribed about the right triangle with legs 6 and 8 is approximately 78.54 square units.
To find the area of the circle circumscribed about a right triangle, we can use the fact that the diameter of the circle is equal to the hypotenuse of the right triangle. In this case, the legs of the right triangle are given as 6 and 8.
Using the Pythagorean theorem, we can find the length of the hypotenuse:
\(c^2 = a^2 + b^2\)
where c is the length of the hypotenuse, and a and b are the lengths of the legs.
Substituting the values:
\(c^2 = 6^2 + 8^2\)
\(c^2 = 36 + 64\\ c^2 = 100\)
Taking the square root of both sides:
\(c = \sqrt{100} \\ c = 10\)
Therefore, the length of the hypotenuse is 10 units.
Since the diameter of the circumscribed circle is equal to the hypotenuse, the radius of the circle is half the length of the hypotenuse, which is 10/2 = 5 units.
Now we can calculate the area of the circle using the formula:
Area = π \(r^2\)
where r is the radius of the circle.
Area = π \(5^2\)
Area = π × 25
Area = 78.54 square units
Hence, the area of the circle circumscribed about the right triangle with legs 6 and 8 is approximately 78.54 square units.
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Kyle has saved $500 of the money he earned working
at Carousel Music. If he spends 10% of the money
each week, how much money will he have at the end
of 50 weeks?
02.57
O 25.43
O 37.89
0 2.45
1
Answers
Answer:
I think it is 1
Step-by-step explanation:
10% of 500 is 50
then you multipy by 50 which is 1
I hope this helps;)
BRAINLIEST FOR WHOEVER SOLVES AND IS CORRECT.
Answers
Answer:
24/9
Step-by-step explanation:
To get from 3 to 9, you multiply by 3. If you want to make the fractions equivelnt, you need to multiply 8 by 3. That is 24. The fraction is 24/9.
Un coche tarda 12 minutos en dar la vuelta a un circuito si va a una velocidad de 80 km/h. Cuánto tiempo tardara en recorrer el mismo circuito si va a una velocidad de 100 km/h?
Answers
A sample of matter experiences a decrease in average kinetic energy as it continues to cool. One would anticipate that the particles will eventually come to a complete stop. The temperature at which particles should theoretically stop moving is absolute zero. Thus, option B is correct.
What theory directly contradicts concept of absolute zero?
All molecules are predicted to have zero kinetic energy and, as a result, no molecular motion at absolute zero (273.15°C). Zero is a hypothetical value (it has never been reached).
Absolute zero signifies that there is no kinetic energy involved in random motion. A substance's atoms don't move relative to one another.
Therefore, Kinetic energy because it can create heat which goes against the absolute zero. A gas molecule's kinetic energy tends to zero when the temperature reaches absolute zero.
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Which set of points lies on the the graph of the function? Responses A {(0, 0), (-1, -1), and (1, 1)}{(0, 0), (-1, -1), and (1, 1)} B {(0, 0), (-1, 1), and (1, -1)}{(0, 0), (-1, 1), and (1, -1)} C {(0, 0), (1, 1), and (2, 2)}{(0, 0), (1, 1), and (2, 2)} D {(1, 1), (1, 2), and (2, 3)}{(1, 1), (1, 2), and (2, 3)} E {(0, 0), (-1, 1), and (1, 2)}{(0, 0), (-1, 1), and (1, 2)} DUE TODAY PLEASE PLEASE PLEASE PLEASE HELP I'LL GIVE FIVE STARS AND HEART I'D APPRECIATE IT SO MUCH
Answers
The set of points that lies on the graph of the function is A, {(0, 0), (-1, -1), and (1, 1)}.
This can be verified by plugging the points into the equation y = x. When x = 0, y = 0. When x = -1, y = -1. Finally, when x = 1, y = 1. Therefore, all three points lie on the graph.
To verify this further, we can calculate the slope of the line using two points. The slope of the line is calculated by taking the difference in the y-values and dividing by the difference in the x-values. For example, to calculate the slope between the points (0, 0) and (-1, -1), we take the difference in the y-values (-1 - 0) and divide it by the difference in the x-values (-1 - 0). This results in the slope being -1. Since the slope is -1, this means that the points are lying on the graph of the function y = x.
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Answer:
The set of points that lies on the graph of the function is A, {(0, 0), (-1, -1), and (1, 1)}.
This can be verified by plugging the points into the equation y = x. When x = 0, y = 0. When x = -1, y = -1. Finally, when x = 1, y = 1. Therefore, all three points lie on the graph.
To verify this further, we can calculate the slope of the line using two points. The slope of the line is calculated by taking the difference in the y-values and dividing by the difference in the x-values. For example, to calculate the slope between the points (0, 0) and (-1, -1), we take the difference in the y-values (-1 - 0) and divide it by the difference in the x-values (-1 - 0). This results in the slope being -1. Since the slope is -1, this means that the points are lying on the graph of the function y = x.
Step-by-step explanation:
The ratio of the lengths of the sides of â–³ABC is 3:4:6. The perimeter of the triangle whose vertices are the midpoints of the sides of â–³ABC is 13 cm. What are the lengths of the sides of â–³ABC?
Answers
The length of the sides of triangle ABC are: 6, 8, and 12.
One of the conditions that two triangles are similar is their Three pairs of corresponding sides are proportional.
In the given problem, the ratio of the sides of triangle ABC is 3 : 4 : 6
Another triangle, let's say triangle DEF, is made with its vertices at midpoints of the sides of triangle ABC.
Hence, all three pairs of corresponding sides have the same proportion.
AB/DE = BC/EF = AC/DF = 1/2
Due to similarity, the ratio of the sides of triangle DEF is also 3 : 4 : 6.
ratio f sides : perimeter = 3 : 4 : 6 : 13
Since its perimeter is 13, it means that the length of sides of triangle DEF are: 3, 4, and 6
Length of the sides of triangle ABC = 2 x length of the sides of Δ DEF
Length of the sides of triangle ABC are: 6, 8, and 12.
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I need help ASAP please
Answers
x = number of tickets sold
25x = revenue from the x tickets sold
C = costs
y = profit
y = revenue - costs
y = 25x - C
Since we don't know what the expenses are, we can't replace C with a number.
Match the following
Sally makes a gross annual salary of $47,000. If Sally is paid weekly, what should the gross amount of her WEEKLY PAYCHECK?
Justin earns $2,140 each month at his job. What is the amount of his ANNUAL SALARY?
Scott works as a college professor at a community college. He is paid $950 for each credit hour of classes he teaches. If he teaches a total a of 51 credit hours, how much can he expect to make ANNUALLY?
Marc was told he should expect to work a total of 205 days of the year and work 8 hours each day. He earned an annual income of $48,445.60. If this is accurate, what is Marc's effective HOURLY RATE OF PAY?
David started a job as a mechanic and is being paid $13.20 an hour. The company suggested that he would be working 254 days and 8 hours each day. What should be David's GROSS ANNUAL SALARY?
Answer choices
A) $903.85
B) $31,520
C) $29.54
D) $26,822.40
E) $27.56
F) $856.25
G) $25,680
H) $48,450
Answers
The salary for a given period depends on the salary unit rate and the
duration of the period under consideration.
Responses:
1. A) $903.85
2. G) $25,680
3. H) $48,450
4. C) $29.54
5. D) $26,822.40
Which methods can be used to calculate the salary for a given period?1. The weekly salary = Annual salary ÷ 52
Which gives;
Sally's weekly salary = $47,000 ÷ 52 ≈ $903.85
A) $903.852. Annual salary = Weekly salary × 12
Which gives;
Justin's annual salary = $2,140 × 12 = $25,680
G) $25,6803. Annual salary = Number of credit hours × Salary per credit hour
Which gives;
Annual salary = $950 × 51 = $48,450
H) $48,4504. Hourly rate = Annual income ÷ Number of hours worked
Number of hours worked = 205 days × 8 hours/day = 1,640 hours
Marc's annual income = $48,445.60
Which gives;
Hourly rate = $48,445.60 annually ÷ 1,640 hours/annum = $29.54
Marc's hourly rate = $29.54
C) $29.545. Annual salary = Hourly rate × Number of hours worked per year
Number of hours worked per year = 254 × 8 = 2032
Which gives;
David's annual salary = $13.20/hour × 2032 hours = $26,822.4
D) $26,822.40
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what is the domain and range for this graph?
sry if it’s a bit blurry but the line goes down at (7,0)
Answers
Answer:
We cannot exactly see to well, I recommend you do windows key + shift + x or something similar in order to take a built in screenshot.
IF THE INEQUALITY SIGN ON THE POINT (7,0) IS SOMETHING LIKE "O" THEN THE RANGE IS Y<0
So the range is everything below 0.
IF THE INEQUALITY SIGN IS A DOT INSTEAD OF AN O, THEN IT IS
Y≤0
The domain should be 7, because it never strays off of the x-value of 7.
Step-by-step explanation:
Estimate 147+14+85 by first rounding each number to the nearest ten.
Answers
Answer:
250
Step-by-step explanation:
because 147 rounded is 150 14 is 10 and 85 is 90 these added together are 250
What is the answer pleaseee
Answers
Answer: 803.84cm3
Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.
To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.
4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.
Now, we have the area of the circle. 50.24cm squared!
The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,
16cm x 50.24cm squared = 803.84cm cubed.
The volume of the can of soup is 803.84cm cubed.
The meaning of the decimal representation of a number 0.d1d2d3?. (where the digit d1 is one of the numbers 0,1,2,?., 9) is that Show that this series always converges.
Answers
This series 9 (.d1d2d3 . . .) is convergent because it is in increasing order.
How to describe the convergent series?In a geometric progression, each element following the first is created by multiplying it by a number known as the common ratio, which is represented by the symbol r.For the stated question-
The information provided indicates that the decimal expression's digits, d, are 10.The common ratio is 1/10, and the right-hand side of a inequality is a sum with 1 as the first term in the geometric progression.The geometric progression's sum in this instance is represented as follows:
= a / (1 - r)
= 1 / (1 - r)
= 10/9
As a result, the series becomes convergent since it is in increasing order.
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The complete question is-
The meaning of the decimal representation of a number 0.d1d2d3 . . . (where the digit i is one of the numbers 0, 1, 2, . . ., 9) is that 0.d1d2d3d4 . . . = d1/10 + d2/10^2 + d3/10^3 + d4/10^4 + . . . Show that this series always converges.
What is the product?
7•(-3)
Answers
13) Assume the current cost of milk is $2.70.
Given an annual inflation rate of 3% how
much will milk cost in 30 years?
Answers
9514 1404 393
Answer:
$6.55
Step-by-step explanation:
The cost will be multiplied by 1 +3% = 1.03 each year, so after 30 years, the cost will be ...
$2.70 × 1.03^30 ≈ $6.55