The money invested by Phyllis with simple interest rate 3 1/2% and 3% per year is given by $7500 , and $3,000 respectively.
As given in the question,
Total amount with Phyllis is equal to $10,500
Let 'x' be the portion of Phyllis earning invested with 3 1/2% per year simple interest rate
Then $( 10,500 - x ) invested by Phyllis with simple interest rate 3% per year
Total interest earned by the investment = $352.50
0.035x + 0.03( 10,500 - x ) = $352.50
⇒0.035x + 315 - 0.03x = 352.50
⇒0.005x = 352.50 - 315
⇒0.005x = 37.5
⇒x = $7500
and $( 10,500 - x ) = $( 10,500 - 7500 )
= $ 3,000
Therefore, the amount of invested with simple interest rate 3 1/2% per year and 3% is equal to $7500 and $3,000 respectively.
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The radius of a circle is 19 kilometers. What is the circle's area?
361πkm²
Explanation• the formula to find the area of a circle is A=πr²
=> A=π(19km)²A=π(19km)² => A=361πkm²I hope it helps!!What are the 4 types of symbols?
Answer:
+ - × ÷
Step-by-step explanation:
addition, subtraction, multiplication and division
Kylie ran 7/10 of a mile and walked 2/5 of a mile. How much farther did Kylie run than walk?
Write your answer as a fraction or as a whole or mixed number.
The farther distance run by Kylie is 3 /10 miles.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Kylie ran 7/10 of a mile and walked 2/5 of a mile. The distance will be calculated as,
Distance = ( 7/10 ) - ( 2 / 5)
Distance = ( 7 - 4 ) / 10
Distance = 3 / 10 miles
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Airport Auto Leasing has a ratio of cars to trucks that is 5 to 3. If each leasing center has 24 trucks, which auto leasing company has more cars? Main Street Auto Leasing has more cars since it has cars while Airport Auto Leasing has cars only
If the ratio of cars to truck in Main Street Auto Leasing Company is 9 to 4 and in the airport Auto Leasing Company is 5 to 3 , then the Main Street Auto Leasing Company has more number of cars .
The Ratio of cars to truck in Main Street Auto Leasing Company is = 9:4 ;
the ratio of cars to truck in Airport Auto Leasing Company is = 5:3 ;
the number of trucks in each Leasing Company is = 24 trucks ;
Case (i) : Main Street Auto Leasing Company ;
Since the ratio is = 9:4 ,
So , the number of cars is = 9x and
the number of trucks = 4x ;
That means , [tex]4x = 24[/tex] ;
[tex]x = 6[/tex] ;
the number of cars in Main Street company is = [tex]9 \times 6[/tex] = 54 cars .
Case (ii) : Airport Auto Leasing Company ;
the ratio is = 5:3 ;
So , the number of cars is = 5x and
the number of trucks = 3x ;
That means , [tex]3x = 24[/tex] ;
[tex]x = 8[/tex] ;
the number of cars in Airport Auto company is = [tex]5 \times 8[/tex] = 40 cars .
Therefore , the Main Street Auto Leasing Company has more number of Cars .
The given question is incomplete , the complete question is
Main Street Auto Leasing has a ratio of cars to trucks that is 9 to 4. Airport Auto Leasing has a ratio of cars to trucks that is 5 to 3. If each leasing center has 24 trucks, which auto leasing company has more cars ?
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Each batch of granola Lena makes uses 3 cups of oats, 1 cup of raisins, and 2 cups of nuts. Lena wants to make 4 batches of granola. How many cups of oats, raisins, and nuts will she need in all?
Answer:
12 cups oats, 4 cups raisins, 8 cups nuts
Step-by-step explanation:
For this problem, just multiply each ingredient by 4
Answer:
12 cups of oats, 4 cups of raisins, and 8 cups of nuts. Or, all together, she will need 24 cups in total.
Step-by-step explanation:
3 x 4 = 12
1 x 4 = 4
2 x 4 = 8
= 24
Similar figures review
The width for the second rectangle which is HIJK will be A. 24 inches.
How to illustrate the relationship?From the diagram, it should be noted that rectangle ABCD is similar to rectangle HIJK. Therefore it should be noted that the relationship between the width and length is expressed as:
= Width / Length
= 12/16
= 3/4
Therefore, the width for the second rectangle will be:
= 3/4 × 3.2
= 2.4
In conclusion, the correct option is A.
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Which represents “4 more than one half a number”?
Answer:
i think it is D
Answer:
D
Step-by-step explanation:
It is D because it divides n by 2 and adds on 4 to it.
[tex]\frac{n}{2}+4[/tex]
If Jenny earns $375 when she works 5 hours, how much will she earn if she
works 12 hours?
Answer:
She will earn $900.00 in 12 hours.
Step-by-step explanation:
Her unit rate is 75 dollars per hour.
375/5 = $75
75 x 12 = 900
Answer: $900
Step-by-step explanation: 375/5x12.
Write an equation of the line that passes through the given point and is perpendicular to the given line.
(2, 5); x = -6
well, since the given line is a horizontal line, a perpendicular line to that will just be, yeap, you guessed it, a vertical line, Check the picture below.
I
need to show work please help me its due tomorrow
Answer:
#1
Step-by-step explanation:
boxes apples
3 6
6 12
9 18
10 20
ratio of apples to boxes is 2:1. 2 apples each box. Divide the number of apples by 2 to get the number of boxes. multiply boxes by 2 to get apples.
#2
boxes cherries
3 12
5 20
6 24
7 28
if you divide cherrie by 4 you get the number of boxes.
Multiply boxes by 4 to get cherries.
Ratio of cherries to boxes is 4 to 1.
What is the area of the triangle?
Answer:
9 units^2
Step-by-step explanation:
The area of a triangle is 1/2hxb. 1/2(6)(3)=9.
Answer:
9
Formula for area - 1/2 times base times height
base - 3
height - 6
1/2 times 6 times 3
= 9
pleaseeeeeee someone help me asappp i need help so bad.
The slope of the linear equation that passes through the points (-6, -2) and (3, -2) is 0.
How to find the slope with the two known points?We can write a linear equation using the sope-intercept form as:
y = m*x + b
Where m is the slope and b is the y-intercept.
For any linear equation, if we know that the line passes through two known points (x₁, y₁) and (x₂, y₂), then the slope is given by:
m = (y₂ - y₁)/(x₂ - x₁).
In this case we know that the line passes through the points (-6, -2) and (3, -2).
Then the slope will be:
m = (-2 + 2)/(3 + 6) = 0
m = 0
The slope is zero, meaning that this is an horizontal line.
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How many minutes will a bus take to cover 5 km travelling at 9 km/h?
Answer:
the bus will take approximately 33.33 minutes to cover 5km at a speed of 9 km/h.
Step-by-step explanation:
To find out how many minutes it will take for a bus to cover 5km at a speed of 9km/h, we need to use the formula:
time = distance / speed
In this case, the distance is 5 km, and the speed is 9 km/h. To convert the speed to km/min we can divide 9 by 60.
9 km/h = 0.15 km/min (by dividing 9 by 60)
Now we can substitute the distance and speed into the formula:
time = 5 km / 0.15 km/min = 33.33 min
So, the bus will take approximately 33.33 minutes to cover 5km at a speed of 9 km/h.
It's important to note that in this problem km/h is the speed and the distance is given in km, so you need to convert it to km/min in order to find the time. Also the time you get will be in minutes.
Solve for m/IGH if m/FGH = 141° and m/FGI = 72°.
F
Answer: m/IGH =
O
G
Submit Answer
H
attempt 1 out of 2/ problem 1 out
Answer:
Step-by-step explanation:
m∡IGH = ? m∡FGH = 141 degrees and m∡FGI = 72 degrees
therefore, m∡IGH = m∡FGH - m∡FGI = 141 - 72 = 69 degrees
In a game, you pilot a spaceship and gain a point for every asteroid you
destroy. The game ends when your ship is hit by an asteroid. You already
have 94 points. Graph your possible final scores for the game.
Answer:
y = p+94
Step-by-step explanation:
If you already have 94 points you can't get lower than that.
p represents the amount of points you have, or the amount of asteroids you've destroyed.
James made 7 identical bags using 5 yards of fabric. How much fabric did James use for each bag?
Answer:
James used 5 yards of fabric to make 7 identical bags, so he used 5/7 yards of fabric per bag.
Step-by-step explanation:
The table represents the details of the loan for Carla's new car purchase. What is the value of C? Cost of car $14,890 Down Payment $2,800 Amount Financed A Monthly Payment $271.02 # Months 60 Amount Repaid B Finance Charge C Total Cost D $19,061.20 $16,261.20 $12,090.00 $4,171.20
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The amount financed (A) is the cost less the down payment.
The amount repaid (B) is the monthly payment times the number of months.
The finance charge (C) is the difference between the amount repaid and the loan amount.
The total cost (D) is the sum of the cost of the car and the finance charge.
When graphing the function on your graphing calculator, what is the most appropriate viewing window for determining the domain and range of the function
The most appropriate viewing window for determining the domain and range of a function when graphing it on a graphing calculator would depend on the specific function and what information you are trying to gain from the graph.
DETERMINING THE DOMAIN AND RANGE OF THE FUNCTIONWhen graphing a function, it is important to set the viewing window correctly so that the full behavior of the function is visible. The domain of a function is the set of all input values for which the function is defined. The range of a function is the set of all output values that the function can produce. To determine the domain and range of a function from its graph, you need to be able to see all of the points where the function is defined, as well as any asymptotes or singularities.
To set the appropriate viewing window, you should start with a wide window that includes the x- and y-values where the function is defined. For example, if the function is defined for all real numbers, you would want to set the x-min and x-max to a large negative and positive number respectively, and y-min and y-max to a large negative and positive number respectively. This will ensure that all of the function's behavior is visible on the graph.
Once you have a general idea of the function's behavior, you can adjust the viewing window as needed.
Also, it is a good idea to check the graph for symmetry or periodicity, which can help to narrow down the domain or range. For example, if the graph is symmetric about the y-axis, you know that the domain includes all real numbers. If the graph is periodic, you know that the domain includes all real numbers and the range is limited.
By adjusting the viewing window and looking for symmetry or periodicity, you should be able to determine the domain and range of the function from its graph.
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Estimate a 15% tip on a dinner bill of $43.17 by first rounding the bill amount to the nearest ten dollars.
Estimated tip: s1
Pls hurry
Answer:
The tip is 6 dollars
Step-by-step explanation:
25POINTS
Hal says the volume of the sphere shown below is 36 cm3. Find the correct volume, using 3.14 for π. Round to the nearest hundredth. What was Hal’s likely error? Use the drop-down menus to explain your answer.
1st box options: 39.14, 18, 11.46, and 113.04
2nd box options: Greater or less
3rd box options: Multiply by, add, divide by, and subtract
Answer:
Its volume for a sphere where radius is 3cm
The real volume is 113.04 cubic meter
5c2 - 1 = 124 the 2 is an exponet
need help asap
Mrs. Hubble was paid a total of $1,677 to make some custom dresses. She was paid $129. To make each one. The equation 1,677= 129d represents this situation where d equals the number of dresses she made. What is the value of d in the equation?
The value of d in the equation is 13 and it is equal to the number of dresses made by her.
The total amount paid by Mr. Hubble to make some custom dresses is 1677 dollars.
The price paid to make one dress is 129 dollars.
The equation that represents this situation is given to be 1677 = 129d
Where d is the number of dresses made,
Now, using simple algebra,
1677 = 129d
d = 1677/129
d = 13
So, she has made a total number of dress she made is 13 and the value of d is the equation is also 13.
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Sam is writing a report on cell phone usage. he collects data from a random sample of eight graders in his school, and finds that 18 out of 20 eight graders have cell phones. if there are 310 eight graders in his school,estimate the number of eighth graders who have cell phones.
What if Aya and Sakura could only afford a monthly payment of $1800?
What would be the maximum mortgage amount they could afford to borrow from the bank, if all the other conditions were the same?
What is the total amount that would be paid to the lender over 25 years?
a) The maximum mortgage amount they could afford to borrow from the bank, if all the other conditions were the same = $369,181.93.
b) The total amount that would be paid to the lender over 25 years = $540000
To find the maximum mortgage amount they could afford to borrow if they could only pay $1800.
Here, future value = 0
number of periods = 25 years
= 25 × 12 months per year
= 300
payment amount = -1800 dollars
interest rate = 4.25% per year
= 0.3542% per month
the maximum mortgage amount they could afford = $369,181.93.
And the total payments would be equal to 300 × 1800 = 540000
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The complete question is:
Aya and Harumi would like to buy a house and their dream house costs $500,000. They have $50,000 saved up for a down payment but would still need to take out a mortgage loan for the remaining $450,000 and they're not sure whether they could afford the monthly loan payments. The bank has offered them an interest rate of 4.25%, compounded monthly.
What if Aya and Harumi could only afford a monthly payment of $2,000?
What would be the maximum mortgage amount they could afford to borrow from the bank if all the other conditions were the same?
What is the total amount that would be paid to the lender over 25 years?
Which of the following best approximates the line of best fit?
sorry that it's hard to see
Answer:
A
Step-by-step explanation:
Remark
The line that has the best fit is one who distance above the line is the same as the distance below the line.
That statement means that if you take each point above the line and measure its (perpendicular) distance to the line and add all the distances of those points above the line together, you should get the same distance for the points below the line.
So why is A the best answer?
It's because the distance of the three points above the line should come close to the distance the 3 points are below the line.
How can you tell if you have a perfect square trinomial or the DIFFERENCE OF SQUARES?
The value of a perfect square is either a positive number or zero. They cannot be neutral.
what is perfect square ?Perfect squares are generated when you square an integer. For instance, the number 81 is a perfect square since it can be derived by squaring 9: 99=81. 144 is a perfect square since 12 is squared to produce it. 169 is a perfect square since 13 may be squared to obtain it. Mathematical language Informally: When an integer (a "whole") number, whether positive, negative, or zero, is multiplied by itself, the outcome is referred to as a square number, a perfect square, or simply "a square." Therefore, all square numbers are 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on.
given
The value of a perfect square is either a positive number or zero. They cannot be neutral.
Square differences can be positive, negative, or zero depending on the order in which the numbers are obtained.
One squared term will be added to the difference of squares, and another squared term will be subtracted.
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1/4 + 3/8 (i would love a explanation)
Solve |2x - 5| = 4.
Answer:
x = - 0.5
[tex]x=-\frac{1}{2}[/tex]
Step-by-step explanation:
2x + 5 = 4
2x + 5 - 5 = 4 - 5
2x = - 1
2x ÷ 2 = - 1 ÷ 2
x = - 0.5
What is the equation of the function
shown in the graph, given that the
equation of the parent function is
f(x) = (-/-)² ?
(}})
The equation of the function shown in the graph is f(x) = (-2x)^2.
What is function?In mathematics a function is a relation between two states that assigned to each element of the first set exactly one element of the second set in order words it is the rule that is describe how unstead of values is related to another set a values function are used to model real voice scenario and to solve mathematical problems example of function include linear equation polynomials and trigonometric function.
This is based on the equation of the parent function, which is f(x) = (-/-)^2. The graph shows that the function has been shifted two units to the left, which is why the coefficient of x is -2 instead of -1.
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determine the number of 8x8x16 concrete masonry units needed to construct a foundation wall 104" high with a 120" perimeter. include 10% for waste
The number of concrete masonry units needed to construct a foundation wall is 102.
What is volume?The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.
Given, a foundation wall 104" high with a 120" perimeter.
Since, perimeter of square = 4 * side
120 = 4 * side
side = 30"
Hence area of the foundation wall = side²
area of the foundation wall = 30² = 900
volume of the foundation wall = area * height
the volume of the foundation wall = 104 * 900 = 93,600"
The volume of the concrete masonry whose length, width, and depth are 16, 8, and 8 respectively is
Volume of masonry = 8 * 8 * 16
The volume of masonry = 1024
since 10 % of masonry goes to waste.
Thus the effective volume of the masonry = 1024*0.9 = 921.6
total masonry required = 93600/ 921.6 = 101.56
therefore, To build a foundation wall, 102 concrete masonry units are required.
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