Answer:
$173
Step-by-step explanation:
Given the following :
Amount spent on wedding cake = $200
Amount deposited = $500
Amount spent on new books = $127
Change in savings :
Amount deposited - total amount spent
Total amount spent = ($200 + $127).= $327
Hence,
Change in saving = $500 - $327
= $173
Question 1: Explain why x = 5 makes 2x_< 10 true but not 2x < 10?
Answer:
if the first example is using the less-than sign with a line under it for less than or equal too then it is true because 2*5 would EQUAL TO OR LESS THEN ten. The second example says that 2*5 would be LESS THEN ten
Step-by-step explanation:
Dan invests £13000 into his bank account. He receives 2.3% per year simple interest. How much will Dan have after 4 years? Give your answer to the nearest penny where appropriate.
Answer:
33
Step-by-step explanation:
Calculate the monthly payment for a loan of $7,500 with an 11% interest rate compounded monthly over a period of 5 years.
Answer:
Option b - $163.07
Step-by-step explanation:
Given : A loan of $7,500 with an 11% interest rate compounded monthly over a period of 5 years.
To find : Monthly payment
Solution : Formula to find monthly payment
Monthly Payment = Amount / Discount factor
Discount factor
where ,
Amount = $7500
Rate= 11%=0.11
Time = 5 years
Now, put i and n in Discount factor ,
Monthly payment,
Therefore, Option b is correct monthly payment = $163.07
Answer:
The answer is $163.07
Step-by-step explanation:
To find the monthly payment:
[tex]i = \frac{0.11}{12} = 0.0091[/tex]
Time = 5 years
5 x 12 = 60
Discount factor
[tex]D = \frac{1-(1 + i) -^{n}}i[/tex]
[tex]D = \frac{1 - (1+ 0.009)-^{60} }{0.009} \\[/tex]
[tex]D = \frac{0.421}{0.009} = 46.77[/tex]
Monthly payment
[tex]\frac{7500}{46.77} = $163.07[/tex]
how many solutions does x(x+2)=0
Answer:
Two solutions
Step-by-step explanation:
x(x+2)=0 has two solutions.
x(x+2)=0
x² + 2x = 0
The "x²" can be a good indicator there will be two solutions since it is being "squared" and is been risen to the power of two.
-> We can also see this with graphing, see attached
-> Need to know the solutions? We can find them by solving for looking at the graph, they are x = -2, 0
How do you find the volume of a rectangular prism?
Answer:
V = w h l just multiply the length times width times height
A TV has an original price of $599. Enter the new price after the given percent of change. 40% decrease The new price is $
Answer:
359.40
Step-by-step explanation:
599*.40=239.60
599-239.60=359.40
Translate point (-4,5) nine units right. Write the new coordinate as an
ordered pair. i really don’t understand this!
Answer:
(-4,-4)
Step-by-step explanation:
When simplifying expressions that involve many exponent properties, how do you decide what to do first?
first (...), after √ and squares from left to right then from left to right . and : and lastly + and -
A middle school held a Career Exploration Day where students could choose to hear an adult talk about his or her career. 15 students went to hear the doctor speak, and 21 students went to other sessions.
What is the probability that a randomly selected student went to hear the doctor?
Answer:
5/12
Step-by-step explanation:
15 students went to hear the doctor speak and 21 students went to other sessions
How many students are there? 15 + 21 = 36 students
Therefore, the probability to randomly select a student that went to hear the doctor is [tex]\frac{15}{36}[/tex], then simplifying it by 3 is [tex]\frac{5}{12}[/tex].
If we want to express it in percentage it would be 41.6%
hii i need help with a geometry problem. i'll mark you brainliest!! please please help i really need to solve this.
Answer:
∠ ABC = 81° , ∠ FEC = 90°
Step-by-step explanation:
Since AB ≅ BC then Δ ABC is isosceles.
The median BE is therefore
The angle bisector of ∠ ABC and
BE bisects AC at right angles.
Thus
∠ ABE = ∠ CBE = 40° 30' , then
∠ ABC = 2 × 40° 30' = 81°
Since BE is perpendicular to AC then
∠ FEC = 90°
Please help! Select the graph for the solution of the open sentence. |x| < 1
Answer:
The First Graph. (-1 and 1 are connected to each other and have open holes)
Step-by-step explanation:
It is the first graph because we are taking the absolute value of x. If we were to plug in -2, we would result in the absolute version, which is 2. There are open holes at the end of the line segment because |x| is less than 1. If we were using greater than or equal to or less than or equal to, then they would be closed holes.
What is the answer to f(0)=(x-3)'2?
The temperature inside my refrigerator is about 40 ◦Celsius. If I place a balloon in my fridge that initially has a temperature of 220 °C and a volume of 0.5 liters, what will be the volume of the balloon when it is fully cooled by my refrigerator? Using Charles' Law
Answer:
The volume of the balloon when it is fully cooled by my refrigerator is
2.75liters
Step-by-step explanation:
we are expected to apply Charles law in this problem and solve for the final volume V2
the expression for Charles law is give as
V1/T1=V2/T2
given data
V1, first volume = 0.5 liters
V2, second volume =?
T1, first temperature = 40 ◦Celsius.
T2, second temperature =220 °C
applying the formula we have
0.5/40=V2/220
V2=(0.5*220)*40
V2=110/40
V2=2.75liters
what is the answer for thiss please helpp
3-2x<1
Answer:
x > 1
Step-by-step explanation:
3 - 2x < 1
- 2x < 1 - 3
- 2x < - 2
Divide - 2 on both sides,
- 2x / - 2 > - 2 / - 2
x > 1
Answer:
x>1
Step-by-step explanation:
3-2x<1-2x<1-3-2x<-2x>-2/-2[Sign alter because dividing by negative number]Hence, x>1
Explain how the Quotient of Powers Property was used to simplify this expression. 5 to the fourth power, over 25 = 5^2
exponent subtract when numbers with exponents are divided
25 is 5^2
5^4/5^2 = 5^2
5^4 = 625
5^2 = 25
625/25 = 25
What are the roots of the equation 9x2 – 36x +37
O in simplest a + bí form?
Answer:
x = 2+1/3i or 2-1/3i
Step-by-step explanation:
The equation of interest can be written in vertex form as ...
9(x -2)² +1 = 0
so its solutions can be found by subtracting 1, dividing by 9, taking the square root, then adding 2.
x = 2 ± √(-1/9)
In the desired form, the zeros of the given expression are ...
x = 2 +1/3i or 2 -1/3i
Which linear inequality is represented by the graph?
y ≤ One-thirdx − 1
y ≥ One-thirdx − 1
y 3x − 1
Answer:
B
Step-by-step explanation:
Answer: B or y ≥ 1/3x − 1
Step-by-step explanation:
Got it right Edge 2020
The radius of a circle is 7 in find it's area to the nearest tenth
Answer:
153.9
Step-by-step explanation:
3.14 x 7 x 7 = 153.86 = 153.9
For which values of c does the quadratic equation x^2-2x+c=0 Two roots of opposite signs
Answer:
-2
Step-by-step explanation:
The value of c is -4, therefore the additive inverse should be added to get the answer 0
The roots of the quadratic equation x² – 2x + c = 0 are a and –b. Then the value of c is a² – 2a.
What is a quadratic equation?It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.
For which values of c does the quadratic equation
x² – 2x + c = 0 ...1
Two roots of opposite signs
Let the two roots of the opposite signs be a and –b
x = a, –b
Then we have factorized the equation,
(x + b)(x – a) = 0
On solving, we have
x² + (b – a)x – ab = 0 ...2
In comparing equation 2 with equation 1, we have
⇒ b – a = –2
⇒ b = –2 + a
and
⇒ c = a(a – 2) = a² – 2a
More about the quadratic equation link is given below.
https://brainly.com/question/2263981
what is two x squared minus five x equals zero
Answer:
4/5 = x
0.8 = x
Step-by-step explanation:
2^2 - 5x = 0
first, we must solve for exponents, as per PEMDAS.
4 - 5x = 0
4 = 5x
4/5 = x
or x = 0.8
Answer:
x = 0
x = -5/2
Step-by-step explanation:
2x squared + 5 = 0
x (2x + 5) = 0
therefore...
x = 0
and
2x + 5 = 0
2x = - 5
x = -5/2
5% of a number is 231%of the same number is 4. 6work out 16%of the number
Answer:
23
Step-by-step explanation:
what is the square centimeters of a figure with 9cm 6cm 6cm 8cm 3cm 14cm
can someone help me with this, I’ll give ratings
Answer:
-0.6000
Step-by-step explanation:
sin² A + cos² A = 1
sin² A = 1 - Cos² A
= 1 - (4/5)²
= 1 - 0.64
= 0.36
sin A = sqrt 0.36 = 0.6
in quadrant IV sin is negative
sin A = -0.6000
What are the solutions for x when y is equal to 0 in the quadratic function
y= x2 – 8x?
f(x)=1/3x-4 is it linear or exponential?
Answer:
Linear
Step-by-step explanation:
since the x value has no exponent to it, and is simply on its own, it is linear
How many different ways could I order the books on my shelf?" I have enough room for 11 of my 31 books. How many different ways could I order 11 books on my bookshelf?
Answer:
31 divided by 11 in my smartest choice
Step-by-step explanation:
Identify the property demonstrated.
4(3 + 5) = 4 • 3 + 4 • 5
Answer: Distributive Property
Step-by-step explanation:
PLEASEE HELP WILL GIVE BRAINLIEST
Given the following polynomial, state the Degree, Leading Coefficient, and Constant.
f(x) = 4x^5 + 5x^3 + x^2 +11
Answer:
see explanation
Step-by-step explanation:
Given
f(x) = 4[tex]x^{5}[/tex] + 5x³ + x² + 11
The degree of the polynomial is the value of the largest exponent
Th term with the largest exponent is [tex]x^{5}[/tex] with exponent 5
Thus the degree of the polynomial is degree 5
The leading coefficient is the numeric coefficient of the leading term in standard form.
The leading term is 4[tex]x^{5}[/tex] with leading coefficient of 4
The constant term is the term with no variable attached.
The constant term is therefore + 11
Which of the following describes the y-intercepts of the two functions?
Answer:
The y intercept of Function A is the same as the y intercept as function B
Step-by-step explanation:
they both have a y intercept of 2
y = mx + b
b is the y intercept
in the table all you have to look for is when x is 0
if c is a positive number, how many solutions does x^2= c have?
Answer: 2
Step-by-step explanation:
A positive and negative since you are taking the square root