Suppose you deposit $2,000 in a savings account that pays interest at an annual rate of 5%. If no money is added or withdrawn from the account, answer the
following questions. How much will be in the account after 3 years
Answer:
2300
Step-by-step explanation:
multiply 2,000 by 15% and add it to 2,000
The total cost of an order of gift baskets includes the cost of each gift basket plus a one time delivery fee. The cost of each gift basket is the same regardless of how many the customer orders. One company bought 40 gift baskets for their employees for a total of $715. Another company bought 400 gift baskets for $5,935. Based on the information given, what is the cost per gift basket?
Answer:
x = cost of each gift basket = $14.5
y = one time delivery fee = $135
Step-by-step explanation:
Let
x = cost of each gift basket
y = one time delivery fee
40x + y = 715 (1)
400x + y = 5935 (2)
Subtract (1) from (2)
400x - 40x = 5935 - 715
360x = 5220
x = 5220/360
x = 14.5
Substitute x = 14.5 into (1)
40x + y = 715 (1)
40(14.5) + y = 715
580 + y = 715
y = 715 - 580
y = 135
x = cost of each gift basket = $14.5
y = one time delivery fee = $135
I hope you guys can help me with this question :)
Here is the graph for one of the equations in a system of two equations
The second line in the system goes through the point (4, 1). Write the equation for the second line if the solution to the system is (3,0). Explain the steps and reasoning you used to find your equation
A television is advertised for K2000 cash or on terms of 10% deposit and K80 per month for 3
years.
a) How much more does the television cost when bought on a term payment plan rather than with
cash?
b) What is the percentage flat rate of interest charged p.a.?
Answer:
a. K3080
Step-by-step explanation:
K2000×10/100=K200
K80×36months=2880
K2880+K200=K3080
Suppose a toothpaste company wants to calculate how many times teens brush their teeth each week.
They decide to conduct a survey of a random sample of 1000 teens aged 13–18 from across the U.S.
What is the population?
Answer:
1000 I think I Amy be wrong
The team was practicing shot put throws for the track meet. Murph threw 413 yards on his first attempt and 323 yards on his second attempt.
How much farther did Murph throw on his first attempt than on his second attempt?
Enter the correct answer in the box.
Answer:
90 yards
Step-by-step explanation:
413 - 323 = 90
Jimmy threw a baseball in the air from the roof of his house. The path followed by the baseball can be modeled by the function f ( t ) = − 8 t 2 + 48 t + 40 , f ( t ) = - 8 t 2 + 48 t + 40 , where t represents the time in seconds after the ball was thrown and f ( t ) f ( t ) represents its height, in feet, from the ground. Part A. How high is the roof from the ground? How many seconds did it take for the ball to hit the ground after it was thrown off the roof? Part B. Jimmy wanted to throw the ball at a maximum height of 120 feet. Did Jimmy's baseball reach this height after it was thrown? Explain your answer.
Answer:
Step-by-step explanation:
The first part of A is easy. Look at the quadratic function, and the constant, the very last number with no t stuck to it represents the height from which the object in question was originally launched. Our constant is 40, so the height of the roof from which the baseball was thrown is 40 feet. Part 2 of A is not quite as simple because it requires factoring using the quadratic formula.Before we do that, let's make our numbers a bit more manageable, shall we? Let's factor out a -8 to get
[tex]f(t) = -(t^2-6t-5)[/tex] and a = 1, b = -6, c = -5.
Filling in the quadratic formula now looks like this:
[tex]t=\frac{6+-\sqrt{6^2-4(1)(-5)} }{2(1)}[/tex] and
[tex]t=\frac{6+-\sqrt{36+40} }{2}[/tex] and
[tex]t=\frac{6+-\sqrt{56} }{2}[/tex] so the 2 solutions are
[tex]t=\frac{6+\sqrt{56} }{2}=6.74sec[/tex] and
[tex]t=\frac{6-\sqrt{56} }{2}=-.742sec[/tex] and since we know time can NEVER be negative, the time it takes for the baseball to hit the ground from a height of 40 feet is 6.74 seconds. Onto part B.
In order to determine exactly how high the baseball did go, we have to find the vertex of the function. We do this by completing the square and getting the function into vertex, or work, form. Begin by setting the quadratic equal to 0, moving over the constant, and then factoring out the leading coefficient. The rule for completing the square are kinda picky in that you have to have a 1 as the leading coefficient, and righ now ours is a -8. So following the rules I stated above:
[tex]-8(t^2-6t)=-40[/tex] Next is the take half the linear term, square it, and then add it to both sides. Our linear term is a -6. Half of -6 is -3, and -3 squared is 9, so we add 9 into the parenthesis first:
[tex]-8(t^2-6t+9)=-40+??[/tex]
Because this is an equation, we can't add 9 to one side without adding the equivalent to the other side. But, we cannot forget about that -8 sitting out front there, refusing to be ignored. We didn't just add in a 9, we actually added in a -8 times 9 which is -72. That's what goes on the right side in place of the ??.
[tex]-8(t^2-6t+9)=-40-72[/tex]
The reason we complete the square is found on the left side of the equals sign. We have, in the process of completing the square, formed a perfect square binomial that will serve as the h in our vertex (h, k) where h is the number of seconds it takes for the baseball to reach its max height of k, whatever k is. That's what we have to find out. Putting the left side into its simplified perfect square binomial and adding the numbers on the right gives us:
[tex]-8(t-3)^2=-112[/tex]
For the last step, add over the -112 and set it back equal to f(t):
[tex]-8(t-3)^2+112=f(t)[/tex] From that we determine that the vertex is (3, 112). The max height of this baseball was 112 feet...so no, it did not make it up to the height of 120 feet that Jimmy wanted for the baseball.
The value for the missing side is
Answer:
B
Step-by-step explanation:
[tex]3\sqrt{5}[/tex]
Aubrey can spend at most $100 more on her credit card. She bought a pair of shorts for $20, and sees a sales t-shirt at $15 per shirt. How many t-shirts can Aubrey buy with her $100 budget? Which of the following equations fits this situation?
Answer:
I believe this question is asking for which of the following equations fits the situation, however since there is no equations given I solved it below.
The answer is 5.3 t-shirts
Step-by-step explanation:
$100 - $20 = $80
Audrey has $80 to spend on t-shirts.
80 / 15 = 5.3
Audrey can buy 5.3 t-shirts
Find the value of x
please help
Answer:
It's 4+33-37 so that's the answer
A vehicle was purchased for $64,000 when exponential depreciation is appeals at the rate of 18% per year, how much will the vehicle be worth 54 month after the purchased date?
How many solutions are there to this equation?
3(3x-1)=6x-3
A.no solutions
B.one solution
C.two solutions
D.infinite solutions
Answer:
One Solution
Step-by-step explanation:
3(3x-1)=6x-3
9x-3 = 6x-3
9x-6x= -3+3
3x=0
3x/3 = 0/3
x=0
The solutions are there to the equation [tex]\rm 3(3x-1)=6x-3[/tex] is one solution.
What is the equation?An equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.
The given equation is;
[tex]\rm 3(3x-1)=6x-3[/tex]
The solutions are there to this equation is determined in the following steps given below.
[tex]\rm 3(3x-1)=6x-3\\\\9x-3=6x-3\\\\9x-6x=-3+3\\\\3x=0\\\\x=0[/tex]
Hence, the solutions are there to the equation [tex]\rm 3(3x-1)=6x-3[/tex] is one solution.
Learn more about equation here;
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What are the solutions of the equation −2x−6=−2x−6 ?
Select each correct answer.
x=−1
x = 0
x = 1
x = 2
x = 3
Answer:
x = 0
Step-by-step explanation:
All of them.
When presented with the same terms on each side of an equal sign, the solution is All Real Numbers
Select the correct location on the graph.
Graph the point that has the coordinates (–43, 24).
LON
-6
cm
-3
4
5
6
-2
Not sure what the numbers are but the point is easy. On the horizontal line (x axis), go to point between -4 and -5. than draw a line up to the point 2 and 3 on the vertical line (y axis). Where the 2 line meet, that is where the coordinates are.
Answer:
I think the point should be plotted (between -4 & -5 in the X-axis) and (between 2 & 3 in the Y-axis)
helpppppp meeeee!!!!!
if u answer all 5 questions i´ll give you Brainliest!!!
Answer:
You can use M a t h w a y. and you will get all the correct answers
Step-by-step explanation:
Hope this helps :)
Answer:
question 21: 29
question 16: -1/729
question 15: 1/144
question 14: 1/64
question d=rt, solving for t: answer is Letter G, t=d/r
Step-by-step explanation:
Hope this helps
Question 1 of 10
Classify the following triangle. Check all that apply.
60
60
60
O A. Isosceles
B. Equilateral
O C. Scalene
O D. Acute
E. Right
Answer:
A, B, & D
Step-by-step explanation:
A. isosceles - 2 sides equal (actually) all sides are equal
B. equilateral - all sides equal and all angles are equal too
D acute - all angles are less than 90 degrees
HELP ASAP IM BEING TIMED
Answer:
Last option is the answer. <3
Please help with this question
Answer:
The correct answer is 7/20
PLEASE HELP! Solve the system of equations by graphing on your own paper. What is true about the system?
A. There is exactly one solution to the system of equations.
B. There are infinitely many solutions to the system of equations,
C. There are exactly two solutions to the system of equations.
D. There are no solutions to the system of equations.
Answer:
B. There are infinitely many solutions to the system of equations,
Step-by-step explanation:
they are the same line look at image
pls help this is my final lol
Answer:
The answer you are looking for is right here
Step-by-step explanation:
https://www.pinterest.com/pin/439734351089479667/
What is the value of x? (giving brainliest and thanks to all!)
Answer:
x = 12
Step-by-step explanation:
Given a line parallel to a side of the triangle and it intersects the other 2 sides then it divides those sides proportionally, that is
[tex]\frac{x}{24}[/tex] = [tex]\frac{5}{10}[/tex] ( cross- multiply )
10x = 120 ( divide both sides by 10 )
x = 12
Al, Tom and Joe share €3000. The ratio of the amount Al gets to the amount Tom gets is in the ratio 5 : 4. Joe gets 1.5 times the amount Tom gets. Work out the amount of money that Tom gets
Answer: €800
Step-by-step explanation:
Since Joe gets 1.5 times the amount Tom gets and Tom is given a ratio with value 4, then Joe gets (4 × 1.5) = 6. Therefore, the ratio of Al, Tom and Joe will be 5:4:6.
Therefore, the amount that Tom gets will be:
= 4/(5+4+6) × €3000
= 4/15 × €3000
= €800
Therefore, Tom gets €800
A huge bag of garlic bulbs weighs 294 lbs divided by 1/6th of its weight. How much does the bag of garlic weigh?
Answer:
42 lbs
Step-by-step explanation:
1/6th of 42 is 7
now since the bulb weighs 294, we didvide by 7
so 294/ 7 is 42
How do I solve this?
use graph to answer the question
Answer: [tex]36.86^{\circ}[/tex]
Step-by-step explanation:
Given
Coordinates of Point A is [tex](-3,-4)[/tex] i.e. Point A is 3 units to the left and 4 units below x-axis
From figure, we can write
[tex]\Rightarrow \tan \theta =\dfrac{3}{4}\\\\\Rightarrow \theta=\tan^{-1}\left(\dfrac{3}{4}\right)\\\\\Rightarrow \theta=36.86^{\circ}[/tex]
Please help me I’m stuck on this urgent
Answer:
The answer for "b" is... B.
or 53˚
Step-by-step explanation:
Subtract 180 with 127
which is 53˚
What is the completely factored form of this polynomial? 7x4 + 14x3 − 168x2 A. 7x3(x + 4)(x − 6) B. 7x2(x + 4)(x − 6) C. 7x2(x − 4)(x + 6) D. 7x3(x − 4)(x + 6)
Answer:
7x^2*(x-4)*(x+6)
Step-by-step explanation:
7x^4 + 14x^3 - 168x^2
common factor 7x^2
7x^2*( x^2+2x-24)
now we factor ( x^2+2x-24)
(x-4)*(x+6)
Solution
7x^2*(x-4(*(x+6)
The factorized form 7x²(x-4)(x+6) of the polynomial 7x⁴ + 14x³ - 168x².
What is polynomial ?
The polynomial is the defined as mathematical statements that have a minimum of two terms containing variables or numbers.
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
The operator that perform arithmetic operation are called arithmetic operators .
Operators which let do basic mathematical calculation
+ Addition operation : Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation : Subtracts right hand operand from left hand operand.
for example 4 -2 = 2
* Multiplication operation : Multiplies values on either side of the operator
For example 4*2 = 8
Given polynomial as:
7x⁴ + 14x³ - 168x²
There is a common factor 7x²
7x²( x² + 2x - 24)
To determine the factor of ( x² + 2x - 24)
⇒ 7x²( x² + 2x - 24)
⇒ 7x²( x² + 6x - 4x -24)
⇒ 7x²[x(x+6) - 4(x+6)]
⇒ 7x²(x-4)(x+6)
Hence, the factorized form 7x²(x-4)(x+6) of the polynomial 7x⁴ + 14x³ - 168x².
Learn more about polynomial here:
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Solve.
-d/11 - 4 < 1
The solution to the inequality is ----.
Step-by-step explanation:
isolate the variable by dividing each side by factors that don't contain the variable.
inequality form:
d>-55
interval notation:
(-55, ∞)
Answer:
−11d−4<1
2
Suma 44 a ambos lados.
-\frac{d}{11}<1+4−11d<1+4
3
Simplifica 1+41+4 a 55.
-\frac{d}{11}<5−11d<5
4
Multiplica ambos lados por 1111.
-d<5\times 11−d<5×11
5
Simplifica 5\times 115×11 a 5555.
-d<55−d<55
6
Multiplica ambos lados por -1−1.
d>-55d>−55
Step-by-step explanation:
d>55
Solve for m.
6 + 2 √5
6 - 2 √5
2 √5 - 6