Answer:
The correct answer is the equivalent amount is $139,059.41
Step-by-step explanation:
According to the scenario, the computation of the equivalent amount in year ten is shown below;
= $5,000 × (P/A, 10%,10) + $1,000 × (P/G, 10%,10)
= $5,000 × 6.1466 + $1,000 × 22.8913
= $30,723 + $22,891.30
= $53,614.30
Now the equivalent amount is
= $53,614.30 × (F/P, 10%,10)
= $53,614.30 × 2.5937
= $139,059.41
Hence, the equivalent amount is $139,059.41
find the average rate of change of each function on the given interval f (x) = x^5 + 2x^4 + 3x - 12;(-5, -1]
Answer:
x^5+2^x4+3^x+72
Step-by-step explanation:
......................
Help. Thank you in advance.
Answer:
option 2. mean is larger than median.
Step-by-step explanation:
mean of the set = ( 88+81+93+85+98)/5
= 445/5
= 89
median of the set = 88
the mean of the set is greater than the median.
The diagram compares the ratio of girls in the chorus to boys in the chorus. What is the ratio of girls to boys? If there are 30 students in the chorus, how many are girls and how many are boys.
girls 3 parts
boys 2 parts
Answer:
it should be girls 12 to 18
Step-by-step explanation:
i just messed around with a calculator and found it.
Rhombus ABCD has the following vertices:
A(-8,11)
B(-1, -13)
C(14,7)
D(7,31)
Is rhombus ABCD a square, and why?
Answer: No because BC is not perpendicular to AB.
Step-by-step explanation:
Yes, rhombus ABCD is a square as all four angles of the rhombus are right angles.
A square is a special type of rhombus where all four sides have the same length and all four angles are right angles.
In this case, we can see that all four sides of the rhombus have the same length by calculating the distance between each pair of vertices. For example, the distance between A and B is:
distance = [tex]\sqrt{[/tex] [tex]((-8 - (-1))^2[/tex] + [tex](11 - (-13))^2[/tex])
distance = [tex]\sqrt{[/tex] ([tex]7^2[/tex] + [tex]24^2[/tex])
distance = [tex]\sqrt{[/tex] (625) = 25
The distance between each other pair of vertices is also 25, so all four sides of the rhombus have the same length.
We can also see that all four angles of the rhombus are right angles by calculating the angles between each pair of adjacent sides. For example, the angle between sides AB and BC is:
angle = arctan((13 - (-13))/(-8 - (-1)))
angle = arctan(26/7)
angle = 78.6°
The angle between each other pair of adjacent sides is also 78.6°, so all four angles of the rhombus are right angles.
Therefore, rhombus ABCD is a square.
To learn more about rhombus here:
https://brainly.com/question/12665650
#SPJ2
PLEASE HELP!!
Use the expression 9i+2(7+3i) to answer this question!
Which property or properties should you use to simplify this expression?
Apply those properties to each term
Answer:
Please check the explanation.
Step-by-step explanation:
Considering the expression
[tex]9i+2\left(7+3i\right)[/tex]
Applying the distributive law[tex]a\left(b+c\right)=ab+ac[/tex]
so the expression becomes
[tex]=9i+2\cdot \:\:\:7+2\cdot \:\:\:3i[/tex]
Group like terms
[tex]=9i+14+6i[/tex]
Add similar elements: 9i+6i=15i
[tex]=15i+14[/tex]
WILL MARK BRAINLIST!
3. Express the following algebraic expressions in standard form.
4. (x + 7)(x - 2) = 0
5. 2x(x + 1) = 12
Answer:
x^2+5x-14=0
Step-by-step explanation:
(x+7)(x-2)=0
x (x-2)+7 (x-2)=0
x^2-2x+7x-14=0
x^2+5x-14=0
Find the equation of the linear function represented by the table below in slope-intercept form.
8. If Alice only has $10 dollars, and she sends 27 text messages, how much data can she use?
Answer: 37 cents per text message
Answer:
200 mintes
Step-by-step explanation:
ADD NOTE
QUESTION GUIDE
EXIT TEST
6.
Raul spent 2
hours shopping for new clothes on Saturday,
1
O
Raul spent
hours shopping for shoes.
10
3
• He spent hour shopping for pants
2
• He spent
hour shopping for shirts
3
• He spent the rest of the time shopping for shoes
о
Raul spent
5
7
hours shopping for pants and shirts.
Raul spent the same amount of time shopping for shoes
as he spent shopping for pants.
O
Based on this information, which statement is true?
о
1
Raul spent
hours more time shopping for shoes than
6
he spent shopping for shirts.
e
CLEAR ALL
Answer:
D. Raul spent the same amount of time shopping for shoes as he spent shopping for pants
Step-by-step explanation:
just trust me :)
State the number of complex roots and the possible number of real and imaginary roots for each equation. The find all roots? If possible.
Answer:
x =2
x = -2
Step-by-step explanation:
(x - 2)(x + 2)(x^2 + 4) = 0
(x - 2) = 0
x = 0 + 2
x = 2
(x + 2) = 0
x = - 2
x = - 2
(x^2 + 4) = 0
x^2 = 4
x = [tex]\sqrt{4}[/tex]
x = 2
Michael’s father bought him a 16-foot board to cut into shelves for his bedroom. michael plans to cut the board into 11 equal size lengths for his shelves.the saw blade that michael will use to cut the board will change the length of the board by -0.125 inches for each cut. how will this affect the total length of the board?
Step-by-step explanation:
you have to know how many inches make a foot or vice versa the you do simple proportion by equating the inches to the foot to get the answer. simple as abc
Mrs. Conley asks her class what kind of party they want to have to celebrate their excellent behavior. Out of all the students in the class, 5 want a ice cream party, 7 want a movie, 10 want a costume party, and the rest want are undecided. If 20% want a ice cream party, how many students are in class?
Answer:
25
Step-by-step explanation:
Question 20 (5 points)
B
1
12
✓
4
15
7
18
✓
0
What vertical line (V) and horizontal line (H) intersect at point B?
OA) V: y = 6; H: x = 1
OB) V: y = 6; H: x = 1
ty
Answer:
D.) [tex]V:x=1;H:y=6[/tex]
Step-by-step explanation:
The vertical intersection of the point is found by the x value. Starting at the point, move down to find the value of x. The vertical line, value x, is 1.
The horizontal intersection of point B is found by the y value. Start at the given point and move to the left to find the y value. The horizontal line, y, is 6.
[tex](vertical,horizontal)\\\\(x,y)\\\\(1,6)[/tex]
:Done
A tree is 72 feet (ft) tall. How many inches (in) is this? First fill in the blank on the left side of the equation using one of the ratios. Then write your answer on the right side of the equation.
1 foot = 12 inches:
1/72 = 12/x
Cross multiply:
1x = 72 * 12
x = 864 inches
find the greatest common factor of 36 and 60
Answer:
6 and 12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Factors of 36 are {1,2,3,4,6,9,12,18,36} . Factors of 60 are {1,2,3,4,5,6,10,12,15,20,30,60} . Common factors are }1,2,3,4,6,12} . Hence Greatest Common Factor is 12 .
Chaise's mom buys canned tuna for lunches. The cans are in the shape of a cylinder with the dimensions shown below.
What is the volume of the can of tuna, rounded to the nearest tenth?
Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
Answer:
13.81 in
Step-by-step explanation:
the radius is equal to 1.875 and the height is equal to 1.25 . Put these dimensions into the cylinder volume formula and you get 13.81 inches . (plus i got this question right on one of my tests )
The length of a rectangle is twice the width if the perimeter of the rectangle 60 units find the area of the rectangle
Answer:
200
Step-by-step explanation:
Length = 2w
2w + 2l = 60
substitute l out with 2w
2w + 2(2w) = 60
2w + 4w = 60
w = 10
l = 20
Area = w • l
= 10 • 20
= 200
Find the values of a and b such that x² - 2x + 2 = ( x - a )² + b
Answer:
a = b = 1
Step-by-step explanation:
x² - 2x + 2 = ( x - a )² + b
x² - 2x + 2 = ( x² - 2x + 1) - 1 + 2 = (x - 1)² + 1
a = b = 1
Penelope buys bracelets in bulk at a cost of $8 each to sell at her store. She uses a markup rate of 125%, which is added to the bracelet cost. What is the retail price of a bracelet?
Answer:
$18.00
Step-by-step explanation:
8 x 1.25 = 10
8 + 10 = 18
add on sc alawad2003
Answer:
Mkay?
Step-by-step explanation:
3 is 10% of what number?
I
Answer:
30
Step-by-step explanation:
3 multiplied by 10 would equal 30. 3 is 10% of 30
Question 5 of 8
Put these substances in order of density with the most dense first and the
least dense last.
1 iron
Trubber
cotton ball
Ti helium
Answer:
cf
cf
centru. toc htc. toc cf. activ. cfc fgfvxv. chvv
What is the smallest possible real value of x^2+8x?
========================================================
Explanation:
Let's complete the square
y = x^2 + 8x
y + 16 = x^2 + 8x + 16 .... adding 16 to both sides
y + 16 = (x+4)^2
y = 1(x+4)^2 - 16
We added 16 to both sides to allow the right hand side to factor into a perfect square.
The last line shown above is in the form y = a(x - h)^2 + k where
a = 1
h = -4
k = -16
Note the positive 'a' value indicates we have a minimum.
The vertex is (h,k) = (-4, -16)
The lowest y value possible is at the vertex.
So the smallest y value is y = -16.
This means the smallest possible value of x^2+8x is -16.
Which of the following is not a reason used in this proof?
A) Definition of perpendicular
B) Vertical angles are equal
C) Reflexive
Answer:
Reflexive
Step-by-step explanation:
Because C and D are right angles. That’s def of perpendicular. I’m not sure about the vertical angles but it’s shown in the proof
Answer:
Reflexive
Step-by-step explanation:
How do you say hi in chamoru?
Answer:
Step-by-step explanation:
To say Hi in Chamoru you say, "Håfa Adai" (Chamorro for "Hello").
Hope this helped!
the is factoring quadratics with a leading coefficient: 5x to the 2 power - 14x + 8
Answer:
The factorization of [tex]5x^2-14x+8[/tex] is (5x-4)(x-2)
Step-by-step explanation:
Given quadratic polynomial is:
[tex]5x^2-14x+8[/tex]
To factor a quadratic polynomial with leading co-efficient has to be factorized, the leading co-efficient and the constant are multiplied and pairs(a,b) of the product are made so that their sum or subtraction is equal to the co-efficient of x
We get 40 by multiplying 8 and 5
And the pair we get are: 10 and 4
[tex]=5x^2-10x-4x+8\\=5x(x-2)-4(x-2)\\=(5x-4)(x-2)[/tex]
Hence,
The factorization of [tex]5x^2-14x+8[/tex] is (5x-4)(x-2)
there are 600 pupils in school. the ratio of boys to girls is 3:5. How many girls a d how many boys are in this school?
Step-by-step explanation:
Here,
No. Of total =600
Let,
no. Of boy=3x
no. Of girls = 5x
By the question,
Number of boys and number oof girls =600
or,3x +5x=600
or, 8x =600
or, x= 600/8
or, x= 75
Again,
No. Of boys =3x
Or, 3 * 75
=225
No. Of girls = 5x
Or, 5 * 75
= 375
Mia has 12 boxes of cookies. Each box contains 36 cookies. she has another 258 cookies in the pantry. How many cookies does she have in all?
690
12×36 + 258 = 690 For extending to 20 characters
HELP Which of the following is the measure of CBA?
A. 90°
B. 39
C. 78
D. 45°