Answer:
after 6 weeks
Step-by-step explanation:
Sid and Tim starts saving each week.
Sid starts his savings with initial amount of £13.00
Tim starts his saving with initial amount of £00.00
Each week from now Sid will save = £3.50
Tim will save each week = £3.00
Let's assume after 'x' weeks the amount of Sid would be = £ (13 + 3.50x)
and the amount of Tim's saving after x weeks = £ (3x)
The ratio of their savings in x weeks would be = 17 : 9
Now the expression we get,
(13 + 3.50x) : (3x) = 17 : 9
[tex]\frac{13+3.50x}{3x}=\frac{17}{9}[/tex]
9(13 + 3.50x) = 17(3x)
117 + 31.5x = 51x
117 = 51x - 31.5x
117 = 19.5x
[tex]x=\frac{117}{19.5}[/tex]
x = 6
After 6 weeks the savings of Tim and Sid would be in the ratio of 17 : 9.
Suppose you start an annuity where you invest $2,000 at the beginning of each year and 4% interest is paid at the end of the year. What is the value of the annuity at the end of 5 years, rounded to the nearest dollar? It is $
The value of the annuity at the end of 5 years, rounded to the nearest dollar is $10,833.
What is the value of the annuity at the end of 5 years?The formula that can be used to determine the future value of the annual annuity is:
Yearly deposity x annuity factor
Annuity factor = {[(1+r)^n] - 1} / r
Where:
r = interest rate n = number of years2000 x {[(1.04^5) - 1] / 0.04} = $10,832.65
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Solve the following system of equations {4x−6y=105x+6y=−55
Answer:
31557778998765432
Step-by-step explanation:
is it impossible
BRAINLIEST!!!!!!! ANSWER QUICKLY!!!!!!!!!!!!!!!!!!!!!!!
Hi, I need help. I have a question about the Big Bang and Evolution. I don't fully understand or believe what happened. Can someone with a great mind try to explain it. Good luck by the way, I will tell you what I think in the comments. I don't believe in the Big Bang, I doubt you can convince me, but if you are willing to try..........please do.
Answer:
The big bang is showing that there is tiny atoms. The atoms grouped up with gravity and more and more grouped making a super dense dot. The dot exploded making gases creating stars. The stars were bigger so they got new atoms to join creating planets. One planet named was suitable for life so tiny germs. The rest nobody knows.
Step-by-step explanation:
Correct answers only!
To the nearest cent, how much interest will he earn in 2 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer: $8.40
Step-by-step explanation:
The problem states that Scott has deposited $40 and is earning 10% interest, annually. It asks how much interest he will earn in 2 years to the nearest cent.
First, the formula given is B=p(1+r)^t. Since Scott deposits $40, 40 would be the starting amount, p.
B=40(1+r)^t
R is the interest rate: 10%. We plug in 0.10 instead of 10% because r is the interest rate, not the percentage.
B=40(1+0.10)^t
T is time: 2 years
B=40(1+0.10)^2
Now that we have the equation filled out, we plug this into a calculator.
48.4=40(1+0.10)^2
We know that the final amount is $48.40. Unfortunately, the question is asking how much interest is earned. To find that, you would subtract the Final-Initial to get the interest.
48.4-40=8.4
1. Si tengo el siguiente ejercicio x = 8+9*4+(32*2+5*4)+3*6 aplicando la jerarquía de operaciones, el resultado sería? a. 25 b. 45 c. 78 d. Ninguna de las anteriores
Answer:
Option D is correct.
The answer is none of the above.
x = 146
La opción D es correcta.
La respuesta es ninguna de las anteriores.
x = 146
Step-by-step explanation:
English Translation
If I have the following exercise x = 8 + 9 * 4 + (32 * 2 + 5 * 4) + 3 * 6 applying the hierarchy of operations, the result would be?
a. 25
b. 45
c. 78
d. None of the above
Solution
The hierarchy of operations includes BODMAS.
B - Brackets
O - Order
D - Division
M - Multiplication
A - Addition
S - Subtraction
x = 8 + 9 * 4 + (32 * 2 + 5 * 4) + 3 * 6
Solving the bracket first.
The multiplication in the bracket are first simplified to give
x = 8 + 9 * 4 + (64 + 20) + 3 * 6
Then further simplifying the bracket
x = 8 + 9 * 4 + (84) + 3 * 6
We then solve the multiplication outside the brackets
x = 8 + 36 + 84 + 18
We now sum all of this
x = 146
In Spanish/En Español
La jerarquía de operaciones incluye BODMAS.
B - Soportes
O - Orden
D - División
M - Multiplicación
A - Suma
S - Resta
x = 8 + 9 * 4 + (32 * 2 + 5 * 4) + 3 * 6
Resolver el soporte primero.
La multiplicación en el paréntesis se simplifica primero para dar
x = 8 + 9 * 4 + (64 + 20) + 3 * 6
Luego simplificando aún más el soporte
x = 8 + 9 * 4 + (84) + 3 * 6
Luego resolvemos la multiplicación fuera de los corchetes
x = 8 + 36 + 84 + 18
Ahora sumamos todo esto
x = 146
Hope this Helps!!!
¡¡¡Espero que esto ayude!!!
Describe two methods that can be used to find the area of the composite figure.
Answer: A composite figure is made up of several simple geometric figures such as triangles, rectangles, squares, circles, and semicircles. To find the area of a composite figure, separate the figure into simpler shapes whose area can be found. Then add the areas together.
Area of the composite figure can be find by using additive areas method and subtractive areas method
What is Composite figure?Composite geometric figures are made from two or more geometric figures. The composite figure below is made from parts of a rectangle and a circle
What is Area ?Area is the quantity that expresses the extent of a region on the plane or on a curved surface.
Area of the composite figure can be find by using two methods,
Additive areas method and Subtractive areas method
In Addictive areas method
Break the composite shape into basic shapesFind the area of the each basic shapesAdd all the areas of basic shapes togetherIn Subtractive areas method
Break the composite shape into basic shapes. That shape maybe larger than the composite shapes.Find the area of the each basic shapesArea of the composite shape will be the difference between the area of the larger shape.Hence, the area of the composite figure can be find by using additive areas method and subtractive areas method
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When I visit my brother it is a 532 mile round trip. If I visit my brother once a month how many miles would I travel in a year round the miles to the nearest hundreds to estimate the answer
Answe12800 miles
Step-by-step explanation:a year is 12 months, and mile round trip means there and back. so 532x24 for the 24 trips that equals 12768. 12768 rounded to the nearest hundreds is 12800
factor the polynomial 8x-2
Answer:
[tex]2(4x-1)[/tex]
Step-by-step explanation:
you divide by 2 and simplify. idk how else to explain it....
Answer:
2(4x-1)
Step-by-step explanation:
Factor out a 2
how do I simplify this algebraic expression 3x+2a-4x
Start by changing the -4x to + -4x.
So we have 3x + 2a + -4x.
To simplify, we can only combine what are called our like terms and in this problem, we have a pair of like terms in our x terms.
3x + -4x simplifies to -x.
So our answer is -x + 2a.
Note that if you wrote your answer as -1x + 2a, it means the same thing. However, as we move farther into math, we usually tend to drop the -1 or 1 that is in front of a variable since it's implied
Given a school supply store sells pencils for $2, pens for $4, and markers for $5. Write an expression for the total cost of 3 pencils, 2 pens, and 3 markers
Answer: 29
Step-by-step explanation:
3x2= 6
4x2=8
3x5=15
6+8+15= 29
hoped I helped you a bit! Good luck! :)
what is -4 {2 - y} + 3y = 3 {y - 4}
Can someone help me with this
Answer:
30.5 and 46
Step-by-step explanation:
The minimum is 30.5 and the maximum is 46
a knife is 3 times the cost of spoon
9 spoons and 12 knives cost £82.80
Answer:
5 .52
Step-by-step explanation:
do the math. aaaaaaaaaaaaaaaaaaaannnnnnnnnnnnnnnnnddddddd this is the best appppp evvvvver
In ΔHIJ, the measure of ∠J=90°, IJ = 47 feet, and HI = 68 feet. Find the measure of ∠H to the nearest degree.
Answer:
44
Step-by-step explanation:
The area of a circle is 4π x 2 + 12πx + 9π.
a. What is an expression for the radius of the circle?
b. What is the least possible integer value of x for the circle to exist? Explain.
Answer:B D
Step-by-step explanation:
I just got it right
Which expression represents the volume of a rectangular prism that is not occupied by the cylinder.
Answer:
The volume of the prism not occupied by the cylinder is (150 - 25*pi)*h.
Step-by-step explanation:
In order to calculate the volume of the rectangular prism that is not occupied by the cylinder we need to calculate the total volume of the rectangular prism and subtract it by the volume of the cylinder. We have:
Rectangular prism:
Volume prism = length*height*width
Volume prism = 15*h*10 = 150*h
Cylinder:
Volume cylinder = pi*r²*h = pi*5²*h = 25*pi*h
The volume of the prism that is not occupied by the cylinder is:
volume not occupied = volume prism - volume cylinder
volume not occupied = 150*h - 25*pi*h = (150 - 25*pi)*h
The volume of the prism not occupied by the cylinder is (150 - 25*pi)*h.
A copy machine makes 231 copies in 5 minutes and 15 seconds. How many copies does it make per minute?
The solution is 44 copies
The number of copies the copy machine makes in one minute is 44 copies
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
The number of copies the copy machine makes = 231 copies
Time required by the to make 231 copies = 5 minutes 15 seconds
5 minutes = 5 x 60 seconds
5 minutes = 300 seconds
5 minutes 15 seconds = 300 + 15 seconds
5 minutes 15 seconds = 315 seconds
So , Time required by the to make 231 copies = 315 seconds
Now , number of copies in 1 minute = 60 x ( The number of copies the copy machine makes / Time required by the to make 231 copies )
Substituting the values in the equation , we get
Number of copies in one minute A = 60 x ( 231 / 315 )
Number of copies in one minute A = 60 x 0.733
Number of copies in one minute A = 44 copies
Therefore , the value of A is 44 copies
Hence , the number of copies is 44 copies
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Melissa needs to wrap a gift box that is shaped like a rectangular prism. The length is 6 inches, the width is 6 inches and the height is 8 inches. How much wrapping paper does she need to cover the whole box
Answer:
A=264
Step-by-step explanation:
plzzzzzzzzzzzzzzaaaaaaaaaa
Answer:
A
Step-by-step explanation:
[tex]3x^2+5x+2=0[/tex]
[tex]x=\dfrac{-5\pm \sqrt{5^2-4(2)(3)}}{6}=\dfrac{-5\pm 1}{6}=-\dfrac{2}{3}, -1[/tex]
Therefore, the answer is choice A. Hope this helps!
what is the percent change between 6 to 3?
Answer:
50% = percent chang
Step-by-step explanation:
6 ÷ 50%
6 × .50 = 3
3 ÷ .50 = 6
A town has population of 5000 and grows 3.5 percent every year. What will be the population after 15 years , to the nearest whole number?
Answer:
After 15 years the population will be 7,625
Step-by-step explanation:
3.5% of 5,000 = 175
175 x 15 = 2625
2625 + 5,000 = 7625
The population after 15 years should be 8,376
Calculation of the population:Since the population is 5,000 and it grows 3.5 years and the time period is 15 years
So, the population after 15 years is
[tex]= 5,000 \times (1 + 3.5\%)^{15}\\\\[/tex]
= 8,376
Therefore, we can conclude that The population after 15 years should be 8,376
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Describe in your own words what a hyperbola is.
Answer:
A conic section that can be thought of as an inside-out ellipse
Step-by-step explanation:
Hyperbola is a two-branched open curve-conic section.
What is a hyperbola?Hyperbola is the locus of all those points in a plane such that the difference in their distances from two fixed points in the plane is a constant.
For the given situation,
We need to describe about a hyperbola.
A hyperbola is two curves that are like infinite bows. It is a two-branched open curve, a conic section produced by the intersection of a circular cone and a plane that cuts both nappes of the cone.
The standard equation of hyperbola is
[tex][\frac{x^{2} }{a^{2} }-\frac{y^{2} }{b^{2} }]=1[/tex]
where,[tex]b^2 = a^2 (e^2 -1)[/tex]
a,b are the points on the plane and e is the eccentricity.
Hence we can conclude that hyperbola is a two-branched open curve-conic section.
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Idk what it is plz help me
Answer:
1) Starting height is 6.25
2) after 20 years it would be 30
1.25(20)=25+5=30
3) 76 years
Answer:
a) 5 feet
b) 30 feet
c) 76 years
Step-by-step explanation:
a) 5 feet. If t is 0, it'll still be 5 feet
b) 30 feet
1.25*20+5=
25+5=
30
c) 76 years
100 = 1.25t+5
1.25t=95
t=76
James has g amount of games. Samuel, his friend, has 4 times as many games as James. Write an algebraic expression to represent how many games James has and how many games Samuel has in terms of g.
Answer: The answer is given below
Step-by-step explanation:
From the question, we are told that James has a lot of games and his friend Samuel, has 4 times as many games as James.
So let the number of games that James has be denoted by g.
Since Samuel has 4 times as the number of games that James has, then Samuel's game will be
= 4 × g
= 4g
Therefore, the expression for James will be g and the expression for the number of games Samuel has is 4g.
If the zeros of a function are = 2 and = 7, what was the function? Could there be more than one answer?
Answer: [tex]f(x)=x^{2} -9x+14[/tex]
Step-by-step explanation:
[tex]x=2,7[/tex]
[tex]f(x)=(x-2)(x-7)[/tex]
[tex]f(x)=x^{2} -9x+14[/tex]
The expresstion 2m +10c gives the amount of money in dollars a desert store makes from selling m muffins and c cakes. How much money does the dessert store make from selling three muffins and four cakes
Answer:
$46.
Step-by-step explanation:
We plug m = 3 and c = 4 into the given expression:
Money made = 2*3 + 10*4
= $46.
When the polynomial x^4-3x^3-7x^2+7x+2 is divided by x+2 the quotient is x^3 +Bx^2 +Cx +1. Find the value of B +C
Answer:
B=-5
C=3
Step-by-step explanation:
x^4-3x^3-7x^2+7x+2= x^4-3x^3-10x^2+3x^2+7x+2
=x^4-3x^3-10x^2+ 3x^2+7x+2
=x^2(x^2-3x-10)+ 3x^2+7x+2
=x^2(x^2+2x-5x-10)+ 3x^2+6x+x+2
=x^2(x(x+2)-5(x+2))+ 3x(x+2)+1(x+2)
=(x+2)(x^2(x-5)+(3x+1))
=(x+2)(x^3-5x^2+3x+1)
Answer:
B=-5
C=3
Step-by-step explanation:
0.7 bar repeater in simplest form
Answer:
the answer is 7/10
Step-by-step explanation:
cause i am in honors math 6th grade. I am EXTREMELY smart!!!
The city limits of Las Pythagoras form a perfect shape of an isosceles right triangle whose legs are both 25 2525 kilometers long. The population in Las Pythagoras is 100 , 000 100,000100, comma, 000 people. What is the population density of Las Pythagoras?
320
Step-by-step explanation:
can someone help? 25 points
Answer:
8 hours
Step-by-step explanation:
HE has to pay $7 an hour.
8*7=56
He has a descount of $3, so
$56-$3=$53.
Which is the exat amount of money that Tony has.
Answer:
The answer is 46
Because he wants to spend less so you would do
7x7=49
He could only rent the boat for 7 hours because that would be less than 53$
Now you do 49-3=46
Because he had a discount
So the answer is 46
Step-by-step explanation:
Hope this helped!
