Answer: A 1 million
Step-by-step explanation:
The amount of the lump sum that the insurance company must put
into a bank account is $1 million.
Option A is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
We can use the present value formula for an annuity to find the lump sum that the insurance company must put into a bank account:
PV = PMT / r
where PV is the present value, PMT is the annual payment, and r is the interest rate.
Substituting the given values, we get:
PV = 40,000 / 0.04
= $1,000,000
Therefore,
The amount of the lump sum that the insurance company must put
into a bank account is $1 million.
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What is 12.357 in expanded form
Answer:
10+2+0.3+0.05+0.007
Step-by-step explanation:
The number 12.357 in expanded form is written as 1 x 10 + 2 x 1 + 3 x 0.1 + 5 x 0.01 + 7 x 0.001. This represents the actual value of each digit in the number depending on its position.
Explanation:The number 12.357 in expanded form is written as:
1 x 10 + 2 x 1 + 3 x 0.1 + 5 x 0.01 + 7 x 0.001.
Expanded form is a way of breaking down a number into its individual place value components. The correct intention is to show each digit's actual value, considering its position within the number. In this case, '1' is in the 'tens' place, '2' in the 'ones', '3' in the tenths', '5' in the 'hundredths' and '7' in the 'thousandths' place.
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WXYZ is a trapezoid with WX ≅ YZ. Isosceles trapezoid W X Y Z is shown. Sides X Y and W Z are parallel. The length of X Y is 3 a minus 4 and the length of W Z is 3 a. Sides W X and Y Z are congruent. The length of W X is 2 a minus 2 and the length of Y Z is a + 1. What is the length of XY? 3 units 4 units 5 units 6 units
Answer: 5 units
Step-by-step explanation:
Based on the definition of an isosceles trapezoid, the length of XY is: 5 units.
What is an Isosceles Trapezoid?An isosceles trapezoid is a trapezoid that has two legs that are congruent.
Therefore:
2a - 2 = a + 1
Add like terms
2a - a = 2 + 1
a = 3
XY = 3a - 4
Plug in the value of x
XY = 3(3) - 4
XY = 5 units
Therefore, based on the definition of an isosceles trapezoid, the length of XY is: 5 units.
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Please help me with this problem
Answer:
The perimeter is 96 ft
Step-by-step explanation:
Step 1: Add the given sides
9 + 9 + 9 + 9 + 9 + 9 + 30 + (30 - 9 - 9)
84 + (12)
96
(30 - 9 - 9) gives us the opposite side of 30 ft
Answer: The perimeter is 96 ft
50 points!!!
What is the value of x? Enter your answer in the box.
(3x + 50)
(6x – 10)
x=
Answer:
First of all (3x + 50) is equal to (6x - 10) so (3x + 50) = (6x - 10) 3x + 50 = 6x - 10 60 = 3x 20 = x
Step-by-step explanation:
Answer:
Step-by-step explanation:
(3x + 50)(6x + -10) = 0
Reorder the terms:
(50 + 3x)(6x + -10) = 0
Reorder the terms:
(50 + 3x)(-10 + 6x) = 0
Multiply (50 + 3x) * (-10 + 6x)
(50(-10 + 6x) + 3x * (-10 + 6x)) = 0
((-10 * 50 + 6x * 50) + 3x * (-10 + 6x)) = 0
((-500 + 300x) + 3x * (-10 + 6x)) = 0
(-500 + 300x + (-10 * 3x + 6x * 3x)) = 0
(-500 + 300x + (-30x + 18x2)) = 0
Combine like terms: 300x + -30x = 270x
(-500 + 270x + 18x2) = 0
Solving
-500 + 270x + 18x2 = 0
Solving for variable 'x'.
Factor out the Greatest Common Factor (GCF), '2'.
2(-250 + 135x + 9x2) = 0
Factor a trinomial.
2((-50 + -3x)(5 + -3x)) = 0
A scientist looks at a bacterium and a virus in a lab. The bacterium has a diameter of 10 Superscript negative 6 meters. The virus has a diameter of 10 Superscript negative 7 meters. Which statement accurately compares the sizes of the specimens?
Answer:
the answer is a
Step-by-step explanation:
Answer:
The diameter of the bacterium is 10 times greater than that of the virus.
Step-by-step explanation:
I just took quiz in edge
Please help I’m failing
What is the negation of the following statement?
m∠A is greater than 90.
A: m∠A is not less than 90.
B: m∠A is less than or equal to 90.
PLEASE ANSWERRRRRRRRRR
A student makes the claim that the space around a charged particle will exert a force on any other charged particle that is placed within this space. If an object is placed between two charged metal plates, one plate that is positively charged and one plate that is negatively charged, which argument BEST supports the student's claim?
A. An object with a positive charge will be attracted to the positive plate.
B. An object with a negative charge will remain stationary between the plates.
C. An object with a negative charge will be attracted to the negative plate.
D. An object with a positive charge will move toward the negative plate.
Answer: D
Step-by-step explanation:
The claim of the student that supported should be an object along with the positive charge along with will the movement towards the negative plate.
Hence, Option D is true.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Since, We know that;
In terms of physics, the charged particle refer to the particle along with an electric charge. It should be ion like molecule or atom along with a surplus or deficit of electrons with respect to the b.
Hence, In the case when the object should be considered as the positive charge should be movement towards the negative plate so the same should be considered as the student claim.
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PLEASE HELP ASAPPP !!!
Step-by-step explanation:
Given the function
[tex]f\left(x\right)=\frac{1}{2}\cdot 2^x[/tex]
Putting x = -2[tex]\frac{1}{2}\cdot \:2^{-2}=\frac{1}{2}\cdot \frac{1}{4}=\frac{1}{8}[/tex]
so
(x, f(x)) will be (-2, 1/8)
Putting x = -1[tex]\frac{1}{2}\cdot \:\:2^{-1}=\frac{1}{2}\cdot \:\frac{1}{2}=\frac{1}{4}[/tex]
so
(x, f(x)) will be (-1, 1/4)
Putting x = 0[tex]\frac{1}{2}\cdot \:2^0=\frac{1}{2}[/tex]
so
(x, f(x)) will be (0, 1/2)
Putting x = 1[tex]\frac{1}{2}\cdot \:\:2^1=2\cdot \:\frac{1}{2}=1[/tex]
so
(x, f(x)) will be (1, 1)
Putting x = 2[tex]\frac{1}{2}\cdot \:\:2^2=4\cdot \:\frac{1}{2}=2[/tex]
so
(x, f(x)) will be (2, 2)
The graph is also attached below.
What is the GCF of 5 , 6 , and 8
Answer:
The GCF of 5, 6, and 8 would be 1.
Step-by-step explanation:
To find the GCF (Greatest Common Factor) of any amount on numbers, you would find the factors of the numbers and find which is the greatest one that they have in common.
To find the GCF of 5, 6, and 8, we must first find the factors of 5, 6, and 8.
Factors of 5: 1, 5
Factors of 6: 1, 2, 3, 6
Factors of 8: 1, 2, 4, 8
Now we found the factors of 5, 6, and 8. to find the GCF, we must now find which factors they have in common.
The factors 5, 6, and 8 have in common is 1. Since they have no other factors in common, 1 would be the GCF.
The GCF of 5, 6, and 8 would be 1.
I hope this helps. :)
Final answer:
The Greatest Common Factor (GCF) of the numbers 5, 6, and 8 is 1, as it is the only common factor among all the numbers.
Explanation:
The Greatest Common Factor (GCF) of the numbers 5, 6, and 8 is found by determining the largest number that divides each of the given numbers without leaving a remainder. To find the GCF, we can list the factors of each number:
Factors of 5: 1, 5Factors of 6: 1, 2, 3, 6Factors of 8: 1, 2, 4, 8Looking at the factors, 1 is the only number that is common to all three, making it the GCF.
Hence, the GCF of 5, 6, and 8 is 1. This methodically derived GCF encapsulates the common factor that unifies the numerical trio.
What is the answer to the problem 21+40(2x-3)
Answer:
x = 1.2375 or 99/90
Step-by-step explanation:
Step 1: Distribute
21 + 40(2x - 3)
21 + 80x - 120
Step 2: Combine like terms
21 + 80x - 120
80x - 99
Step 3: Solve for x
80x - 99 + 99 = 0 + 99
80x / 80 = 99 / 80
x = 1.2375
Answer: x = 1.2375 or 99/80
Answer: -99+80x
Step-by-step explanation:
remember to always use PEMDAS
First, Multiplacation
21+40(2x-3)
21+80x-120
then add 21 to 120
-99+80x
this is the farthest you can go hope i could help please mark brainliest!
A sphere with a radius of 3 cm has the same volume as a cone with a radius of 6 cm. What is the height of the cone?!
2 cm
3 cm
4 cm
5 cm
Answer:
Step-by-step explanation:
VC = (1/3)·pi·r2·h
VC = volume of a cone
r = radius of base of cone = 6 cm
h = height
VC = (1/3)·pi·62·h
VC = 12·pi·h
VS = (4/3)·pi·r3
VS = volume of a sphere
r = radius of base of sphere = 3 cm
VS = (4/3)·pi·33
VS = 36·pi
Since the volume of the cone and the sphere are equal:
VC = VS
12·pi·h = 36·pi
Solve for h.
Maya is working two summer jobs, making $7 per hour babysitting and $11 per hour landscaping. Last week Maya earned a total of $96 and worked 3 times as many hours babysitting as she worked hours landscaping. Determine the number of hours Maya worked babysitting last week and the number of hours she worked landscaping last week.
The number of hours Maya worked babysitting and landscaping last week is 2.4 hours and 7.2 hours respectively
Given:
Earnings for babysitting = $7
my Earnings for landscaping = $11
Total earnings = $96
Iet
number of hours babysitting = x
number of hours landscaping = y
y = 3 × x
y = 3x (1)
y = 3x (1)7x + 11y = 96 (2)
substitute (1) into (2)
7x + 11y = 96 (2)
7x + 11(3x) = 96
7x + 33x = 96
40x = 96
x = 96/40
x = 2.4 hours
substitute x = 2.4 into (1)
y = 3x (1)
y = 3(2.4)
y = 7.2 hours
Therefore, the number of hours Maya worked babysitting and landscaping last week is 2.4 hours and 7.2 hours respectively
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which expressions are equivalent to 2^5/6^5
On a scale model of a shopping center, the scale is 1/3 inch to 1 foot. If the actual length of the shopping center is 144 feet, what is the length on the scale model?
Answer:
48 inches
Step-by-step explanation:
1 in = 3 ft
144/3=48
Which system of equations below has exactly one solution?
y = –8x – 6 and y = –8x + 6
y = –8x – 6 and One-halfy = –4x – 3
y = –8x – 6 and y = 8x – 6
y = –8x – 6 and –y = 8x + 6
Answer:
The given system of equations [tex]y=-8x-6[/tex] and [tex]y=8x-6[/tex] has exactly one solutionStep-by-step explanation:
Given that the system of equations [tex]y=-8x-6\hfill (1)[/tex] and
[tex]y=8x-6\hfill (2)[/tex] has exactly one solution
For :Now to show that the given system of equations has exactly one solution :Solving the given equations (1) and (2) to get solutionAdding the equations (1) and (2) we get[tex]y=-8x-6[/tex]
[tex]y=8x-6[/tex]
______________
[tex]2y=0-12[/tex]
[tex]y=-\frac{12}{2}[/tex]
[tex]=-6[/tex]
Therefore the value of is y=-6Substitute the value of y in equation (1) we have[tex]-6=-8x-6[/tex]
[tex]-8x-6+6=0[/tex]
[tex]-8x+0=0[/tex]
[tex]-8x=0[/tex]
[tex]x=-\frac{0}{8}[/tex]
[tex]=0[/tex]
Therefore the value of x is x=0
Therefore it has exactly one solution is (0,-6)Therefore the given system of equations [tex]y=-8x-6[/tex] and [tex]y=8x-6[/tex] has exactly one solutione given system of equations has exactly one solutionAnswer:
y=-8x-6 and
y=8x-6 has exactly one solution
Step-by-step explanation:
how do you factor x^2+ bx+ c
Answer:
Plug in the Quadratic formula
Step-by-step explanation:
George is playing cards. what is probability of pulling an ace or Jack from the deck
Answer:
There are 52 cards in a regular deck, and there are 4 aces and 4 jacks (1 for each suit) so the fraction is 8/52. Simplifying, we get: 4/21. So there is a 4/21 chance of pulling an Ace or Jack from a regular deck of cards.
I hope this helps!
write (2,4) and (1,-2) in slope intercept form
1+1=? Easiest 5 points! I know answer but I am giving away points for something that everyone knows.
Answer:
2
Step-by-step explanation:
Step 1: Add the numbers together
1 + 1
2
Answer: 2
Darlene has eaten three eights of the pizza what fraction of the pizza remains?
Answer:
5/8
Step-by-step explanation:
1-3/8=5/8
Maya wants to know how many games the seventh grade students at her school play on their phones. Which is the BEST population for Maya's question? A) All the students in the school. B) All the students in Maya's homeroom. C) All of Maya's seventh grade friends. D) All the seventh grade students at Maya's school.
Answer:
The best population for Maya's school would be all the seventh grade students at Maya's school, because that is who she wants to know how many games they play.
D. All the seventh grade students at Maya's school.
Hope this helps ;)
Answer:d
Step-by-step explanation:
HELP ASAP, I'M TIMED
Which equation can be used to solve for angle N in the triangle below?
A. 6.2^2 = 3.6^2 + 4.3^2 - 2(3.6)(4.3)cosN
B. 6.2^2 = 3.6^2 + 4.3^2 + 2(3.6)(4.3)cosN
C. 6.2^2 = 3.6^2 + 4.3^2 - (3.6)(4.3)cosN
D. 6.2^2 = 3.6^2 + 4.3^2 + (3.6)(4.3)cosN
Option A:
The equation used to solve for angle N is
[tex]6.2^{2}=3.6^{2}+4.3^{2}-2(3.6)(4.3) \cdot \cos N[/tex]
Solution:
Given data:
MO = 6.2 cm
ON = 4.3 cm
MN = 3.6 cm
To find the equation to solve for angle N:
Using cosine formula,
[tex]c^{2}=a^{2}+b^{2}-2 a b \cdot \cos C[/tex]
Here, a = 3.6 cm, b = 4.3 cm, c = 6.2 cm, and angle A = angle C
Substitute these in the formula, we get
[tex]6.2^{2}=3.6^{2}+4.3^{2}-2(3.6)(4.3) \cdot \cos N[/tex]
The equation used to solve for angle N is
[tex]6.2^{2}=3.6^{2}+4.3^{2}-2(3.6)(4.3) \cdot \cos N[/tex]
Hence option A is the correct answer.
Jeanie wrote the expanded form of (0.2)^5
0.2+0.2+0.2+0.2+0.2
Which statement is true?
Jeanie wrote the expanded form correctly
Jeanie should have used only for factors of 0.2 as the base
Jeanie should have multiplied the base by itself five times
Jeanie should have multiplied 0.2 x 5
Answer:
Jenny should multiplies the base itself five times
Step-by-step explanation:
(0.2)^5 is (.02) multipled by it's self repeated for the number of exponents. Use this as a example 2^x; 2^1 = 2, 2^2 = 2*2, 2^3 = 8, and so on....
Answer:
C I took the test
Step-by-step explanation:
2y-6x=12 what is it in slope intercept form
Answer:y=3x+6
Step-by-step explanation:
1 1/4 how many ounces
Answer:
There are 2 fluid oz
Step-by-step explanation:
Answer:
2 fluidz
Step-by-step explanation:
I need help in solving this problem involving definite integrals in calculus. The correct answer is A) 64, but I need to know how it was done. Can you please show the steps in solving this? I need to correct my mistake.
Thanks in advance!
Answer:
A) 64
Step-by-step explanation:
Integral of f(x+2) is the same as integral of f(x) with limits x+2
Integral of f(x-2) is the same as integral of f(x) with limits x-2
Intrtralof 3x² is x³
3(7) - 5(2) + [4³ - 1]
21 - 20 + 63 = 64
Where would you use an inequality in the real world
Answer: Good question, ill answer in the comments
Step-by-step explanation:
Answer:
money problems
Step-by-step explanation:
let's say your in accounted and the most you've made a week is 150 the inequality would be
ñ<150
Explain how this method is correct...2 times 3 is 6, and 6 times 5 is 30.
Answer:
this method is correct because of the PEMDAS
Step-by-step explanation:
If 20 - 2 = 15, what is the value of 3x ?
Answer:
x = 1
Step-by-step explanation:
20-2 = 18, now -3x = 15
What's the value of x? 40000mg =10x g
The value of x is 4. So 40000 mg= 40 g.
Step-by-step explanation:
The given is 40000mg = 10x g
Step:1
Take given equation as equation (1)
40000 mg= 10x g.................(1)
where, X is known value.
Step:2
Standard value for mg to g for the purpose of conversion of units,
1 milligram = 0.001 gram (or)
1 gram = 1000 milligram
Step:3
From the standard data values,
= 40000 mg
it converted mg to g by dividing 1000
= [tex]\frac{40000}{1000}[/tex] g
= 40 g.......................(2)
Step:4
From the Equations (1) and (2),
40=10x
x=4
Result:
The value of x is 4. So, 40000mg = 40 g.