Answer:
$104.49
Step-by-step explanation:
The future value of the account is given by the formula ...
FV = P(1 +r)^t
The interest earned is the difference between that future value and the original amount deposited.
I = FV -P
__
For the given investment, rate, and time, we find the interest to be ...
I = $650((1 +0.0125)^12 -1) = $650(0.160755) = $104.49
Mr. Vance's account will have earned $104.49 in interest at the end of 12 years.
A caterer charges a setup fee of $40, plus $15 per
person. How much will the caterer charge if 22
people attend the party, and the customer has a
coupon for $100 off the total?
Sonnie deposited $2,500 into an account that earns simple interest. After 5 years, she earned $375 in interest. What was the interest rate of the account?
Answer:
3%
Step-by-step explanation:
The interest on the account is given by the simple interest formula:
I = Prt
where I is the interest, P is the principal invested, r is the annual rate, and t is the number of years
375 = 2500r(5) . . . . . . using the given values in the formula
375/12500 = r = 0.03 . . . . . divide by the coefficient of r
Sonnie's account had a 3% interest rate.
Explain why 5.12 x 4 equals 20.48 with numbers.
Answer: 20.48
Step-by-step explanation: you add 5.12 four time then you get 20.48.
Would you please look at this question?
Answer:
The answer to this question is "x"-meter = 48 = B)
What is the perimeter of this rectangle pls help
Answer:
24
Step-by-step explanation:
Perimeter of a shape = sum of all lengths of sides
⇒ Perimeter of a rectangle = (2 × width) + (2 × length)
From inspection of the rectangle:
width = 4length = 8⇒ Perimeter = (2 × 4) + (2 × 8)
= 8 + 16
= 24
What is the volume of this container? (image below)
Answer:
480 in³
Explanation:
Volume of Rectangular Prism = Length * Height * Width
Front Volume:
4 * 4 * 580 in³Behind Volume:
5 * 8 * 10400 in³Total volume:
400 in³ + 80 in³480 in³Both are cuboids
#1
L=8B=10C=5Volume:-
LBH8(10)(5)400in³#2
L=4B=4H=5Volume:-
4(4)(5)80in³Total:-
400+80=480in³
Using factor (2u – 1), sin(x) = Using factor (5u + 1), or sin(x) =
Answer:
sin(x)= 1/2 or sin(x)= -1/5
Answer: a c d e
Step-by-step explanation:2nd part
Does the point (-5, 10) satisfy the inequality y = 5x + 9?
Yes or no
Answer:
no
you can subsitute x = -5 into y= 5x+9 and the ans should be -16 instead of -10
so it does not satisfy
Hello!
In order to see whether or not a point satisfies an equation, just plug in the values:-
Instead of y, plug in 10:-
10=5x+9
Instead of x, plug in -5:-
10=5(-5)+9
Solve:-
10=-25+9
10=-16
See? We have a false statement.
Hence, this point does not satisfy the inequality.
I hope it helps you.
If you have any queries regarding my answer, please comment :)
[tex]\bf{CupcakeRealm8701~:)}[/tex]
Which set of side lengths forms a right triangle?
A. 6,8,10
B. 2,4,6
C.1,2,3
D. 2,3,4
Answer:
A. 6,8,10
Step-by-step explanation:
For a right triangle the the values for the three sides we pick must satisfy the Pythagorean theorem:
a(2 + b(2= c(2
A. 6,8,10
6(2 + 8(2 = 10(2
36 + 64 = 100
100 = 100
Bingo!
(For example lets solve the rest)
B. 2,4,6
2(2 + 4(2 = 6(2
4 + 16 = 36
20 ≠ 36
Nope.
C. 1,2,3
1(2 + 2(2 = 3(2
2 + 4 = 9
6 ≠ 9
No again!
D. 2,3,4
2(2 + 3(2 = 4(2
4 + 9 = 16
13 ≠ 16
Not this one.
Therefore our answer is A.
what is the area of the parallelogram below if b=6.1? Round your answer to the nearest tenth.
The Build-Your-Own-Sailboat booth that Althea visited gave her and hers friend the chance to make a sailboat model. Each boy chose a different quadrilateral for a sail. Althea chose a trapezoid, and her friend chose a parallelogram.
(a) Compose each shape into a rectangle to determine the area. The formula for area of a rectangle is A = lw . What is the area of each quadrilateral?
(b) Althea said that all quadrilaterals can be decomposed into triangles to find the area of the quadrilateral. Is this statement always true, sometimes true, or always false? Give two examples to support your answer.
A quadrilateral is a four sided figure. It is possible to decompose the quadrilaterals to give two triangles by taking apart the diagonal that runs across the figure
What is a quadrilateral?A quadrilateral is a four sided figure. The images are not shown here so we don't know what the dimensionof each figure is.
It is possible to decompose the quadrilaterals to give two triangles by taking apart the diagonal that runs across the figure and find the area of the two triangles in order to obtain the area of the orginal figure.
Learn more about quadrilateral: https://brainly.com/question/13805601
I need help finding the mean
Answer:
there is 5 jokers
Step-by-step explanation:
the dot plot shows that
If f(x)= 2x^3-12x^2+20x-16 and f(4)= 0, then find all the zeros of f(x) algebraically
Answer:
x = 4 is the only real zeroStep-by-step explanation:
Find the zero's of f(x)
2x³ - 12x² + 20x - 16 = 0x³ - 6x² + 10x - 8 = 0x³ - 4x² - 2x² + 8x + 2x - 8 = 0x²(x - 4) - 2x(x - 4) + 2(x - 4) = 0(x - 4)(x² - 2x + 2) = 0(x - 4)(x² - 2x + 1 + 1) = 0(x - 4)[(x - 1)² + 1] = 0x - 4 = 0 ⇒ x = 4, we already know this(x - 1)² + 1 = 0 ⇒ (x - 1)² = - 1, no real solution as the square is never negativeAnswer:
[tex]x=4, \quad x=1+i,\quad x=1-i[/tex]
(one real zero and 2 complex zeros)
Step-by-step explanation:
Given polynomial:
[tex]f(x)= 2x^3-12x^2+20x-16[/tex]
According to the Factor Theorem, if f(4) = 0 then (x - 4) is a factor of the given polynomial.
[tex]\implies f(x)=(x-4)(ax^2+bx+c)[/tex]
Expand the brackets:
[tex]\implies f(x)=ax^3+bx^2+cx-4ax^2-4bx-4c[/tex]
[tex]\implies f(x)=ax^3+(b-4a)x^2+(c-4b)x-4c[/tex]
Compare coefficients with the given polynomial:
[tex]\implies a=2[/tex]
[tex]\implies -4c=-16 \implies c=4[/tex]
[tex]\implies (b-4a)=-12 \implies b-8=-12 \implies b=-4[/tex]
Substitute the found values of a, b and c:
[tex]\implies f(x)=(x-4)(2x^2-4x+4)[/tex]
To find the zeros of f(x), set the function to zero and solve for x:
[tex]\implies (x-4)(2x^2-4x+4)=0[/tex]
[tex]\textsf{Therefore},\: (x - 4) = 0\: \textsf{ and }\: (2x^2-4x+4)=0[/tex]
[tex]\textsf{To solve}\: (2x^2-4x+4)=0\: \textsf{ use the quadratic formula}[/tex]
Quadratic Formula
[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0[/tex]
Therefore:
[tex]\implies x=\dfrac{-(-4) \pm \sqrt{(-4)^2-4(2)(4)} }{2(2)}[/tex]
[tex]\implies x=\dfrac{4 \pm \sqrt{-16}}{4}[/tex]
[tex]\implies x=\dfrac{4 \pm \sqrt{16 \cdot -1}}{4}[/tex]
[tex]\implies x=\dfrac{4 \pm \sqrt{16}\sqrt{-1}}{4}[/tex]
[tex]\implies x=\dfrac{4 \pm 4i}{4}[/tex]
[tex]\implies x=1 \pm i[/tex]
Therefore, the zeros of the function are:
[tex]x=4, \quad x=1+i,\quad x=1-i[/tex]
(one real zero and 2 complex zeros)
Which construction uses the compass for only one step in addition to drawing the circle itself?
A) an equilateral triangle inscribed in a circle
B) a square inscribed in a circle
C) a regular hexagon inscribed in a circle
D) a diameter of a circle
Answer: A) an equilateral triangle inscribed in a circle
Step-by-step explanation:
In the mathematical world, a compass is a mathematical tool used for drawing and constructing precise shapes. You have likely seen one of these before, I have attached a visual example of what one might look like.
Out of these given options, the only one that utilizes a compass for one step in addition to drawing the circle itself is A:
A) an equilateral triangle inscribed in a circle
Read more about using a compass here: https://brainly.com/question/27490907
f(x)=x^2. What is g(x)?
A. g(x)=-4x^2
B. g(x)=-x^2-4
C. g(x)=x^2+4
D. g(x)=x^2-4
Answer:
g(x)=(-x²-4)
Step-by-step explanation:
[tex] - {x}^{2} - 4 \: is \: th \: requied \: equation[/tex]
Megan is in charge of creating a five-digit code to lock and unlock a secure room. She can use any digit from 0 through 9, and she can use each digit as many times as she wants. She knows she wants to start the code with a 7.
How many possible codes that start with 7 could Megan create?
10,000 codes
70,000 codes
100,000 codes
700,000 codes
Answer:
The Answer Is 10,000 Codes
Proof :
Answer:
10,000
Step-by-step explanation:
Took k-12 quiz
The radius,R, of a sphere is8.2mm . Calculate the sphere's volume,V .
Use the value 3.14 for[tex]\pi[/tex] , and round your answer to the nearest tenth. (Do not round any intermediate computations.)
Find the volume of a cone with a height of 6yd and a base radius of 4yd.
Use the value 3.14 for [tex]\pi[/tex] , and do not do any rounding.
Be sure to include the correct unit in your answer.
Formula : V = πr²h/3
Fill in the values.
(3.14)(4)^(2)(6/3)
V=100.48 yd^3
Help!!!!!
The midpoints of the slides of a square are joined to its vertices as shown. What is the ratio of the area of the shaded square inside to the area of the original square
Answer:
1/5
Step-by-step explanation:
It is easy to see a right triangle on each side of the original square with its hypotenuse on the side of the original square, each with an area of 2⋅A2=A. Thus the total area of the original square is 5A, or the ratio of the area of the shaded square to the original square is 1/5.
Find the measures of all angles and sides
Answer:
See attached image. 82 and 98 degrees.
Step-by-step explanation:
On attached document.
What is the area of triangle PQR rounded to the nearest tenth of a square meter? Drawing is not to scale.
Answer:
A 31.3
Step-by-step explanation:
just took the test
Answer:
27.0m^2
Step-by-step explanation:
Use the formula A = 0.5 * a * b * sin (x)
this formula is used for obtuse angles where a & b are the sides (12,7) and x is the angle between them.
Fill in the blanks:
A = 0.5 * 12 * 7 * sin (40)
use demos scientific calculator
A= 26.99
round up
27.0 m^2
Find the surface area of the above solid.
O A 72 cm
O B 73 cm.
C. 70 cm
O a 62cm
Help quickly
y=x^2-8x+6 complete the square to determine the vertex and maximum or minimum value. Determine the number of x-intercepts.
Answer:
Below in bold.
Step-by-step explanation:
y = x^2-8x+6
y = (x - 4)^2 - 16 + 6
y = (x - 4)^2 - 10
So the vertex is at (4, -10)
The coefficient of x^2 of this function is 1 ( positive) so there will be a minimum value.
Minimum value = -10.
x-intercepts:
(x - 4)^2 - 10 = 0
(x - 4)^2 = 10
x - 4 = +/- √10
x = 4 +/- √10
- therefore there are 2 x-intercepts.
Three 3-digit numbers are formed using the digits 1 through 9 exactly once each. The hundreds digit of the first number is 1. The tens digit of the second number is 8. The units digit of the third number is 5. The ratio of the first number to the second number to the third number is 1:3:5, respectively. What is the sum of the three numbers?
Answer:
1161
Step-by-step explanation:
We can solve this using what we know about multiples of 3 and 5. Multiplying the first number by 3 will give the value ...
1?? × 3 = 38? . . . . where ? is an unknown digit
The two least significant digits in the first number must be ones that give 80-something when multiplied by 3. They will be between 80/3 = 26 2/3 and 90/3 = 30. The requirement that the least significant digit be odd* means the choices are 27 or 29.
When the first number is 127, its triple is 381. The 1 in the least significant digit is disallowed by the requirement that the 9 digits of these numbers be unique. (127 already has 1 as its most-significant digit.)
So, the first number is 129, making the second number be 3×129 = 387, and the third number be 5×129 = 645.
The numbers have the ratios ...
129 : 387 : 645 = 1 : 3 : 5 . . . . . . . as required.
We note that the digits 1–9 are used exactly once each, as required.
The sum of the numbers is 1161.
_____
* Only odd numbers will give a product that ends in 5 when they are multiplied by 5. The requirement that the third number have a ones digit of 5 means the ones digit of the first number must be odd.
which one is the missing symbol.
4/5 ? 1/2
A. >
B. <
C. =
Answer:
[tex] \frac{4}{5} > \frac{1}{2} [/tex]
Step-by-step explanation:
[tex] \frac{4}{5} = 0.8[/tex]
[tex] \frac{1}{2 } = 0.5[/tex]
I got a question saying 1 Billon times 43 Millon, how is anyone appost to know this
[tex]1000000000 \times 43000000 = 43000000000000000[/tex]
The figure below is an isosceles trapezoid. Solve for x.
Note: the figure may not be drawn to scale.
Answer:
x = 3
Step-by-step explanation:
The diagonals of an isosceles trapezoid are congruent , then
4x - 1 + 4 = 2x + x + 6 , that is
4x + 3 = 3x + 6 ( subtract 3x from both sides )
x + 3 = 6 ( subtract 3 from both sides )
x = 3
GIVEAWAY!! QUICK QUESTION!!!
Mr. Segura told Ms. Chang that the coefficient of kk is 11. What would you tell one of your classmates that the coefficient of -k−k is? Type the number, don't write it out!
Answer:
-2
Step-by-step explanation:
Given :
An example of a coefficient ⇒ '11' in 11kkSolving :
The coefficient is the part that precedes the variable(s)Therefore, on solving -k - k⇒ -2k⇒ -2 is the coefficientAnswer:
-2
Step-by-step explanation:
Given expression: -k - k
Combine like terms and simplify:
⇒ -k - k
⇒ -(k + k)
⇒ -(2k) = -2k
Determining the constant:
The constant of the term MUST be an integer. It CANNOT be a variable. In this case, the only constant that is a cooeficient of k is -2.
Thus, the cooeficient of -k−k is -2.
What is the common ratio for the sequence:
28, -14, 7, -3.5...
Help me with this please
Step-by-step explanation:
x > 4
you see the line covers everything to the right (larger than) of +4.
the large empty circle at 4 means this value is not included.
that is the reason why we cannot use x >= 4.
to include the value the market has to be sold (not empty).