The total amount accrued, principal plus interest, with compound interest on a principal of $4,000.00 at a rate of 2.48% per year compounded 4 times per year over 1 years is $4,100.13.
Compound interest CalculationGiven Data
Principal p= $4000Rate r = 2.48%Time = 1 yearA = P + I where
P (principal) = $4,000.00
I (interest) = $100.13
Calculation Steps:
First, convert R as a percent to r as a decimal
r = R/100
r = 2.48/100
r = 0.0248 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 4,000.00(1 + 0.0248/4)^(4)(1)
A = 4,000.00(1 + 0.0062)^(4)
A = $4,100.13
Learn more about Compound interest here:
https://brainly.com/question/24924853
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
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
How do you find the volume of a rectangular prism?
Answer:
V = w h l just multiply the length times width times height
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
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%
what is the square centimeters of a figure with 9cm 6cm 6cm 8cm 3cm 14cm
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:
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:
What is the value of the rational expression when x = 5?
The value of the rational function f(x) (x³ + 3x)/(x + 10) on putting the value of x of 5 is 9.3333.
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The function f is given below.
[tex]f(x ) = \dfrac{x^3 + 3x }{x+ 10}[/tex]
Then the value of f(x) at x = 5 will be given as
[tex]\rm f(x ) = \dfrac{5^3 + 3*5 }{5+ 10}\\\\\\f(x ) = \dfrac{125 + 15}{15}\\\\\\f(x ) = \dfrac{140}{15}\\\\\\f(x) = 9.333[/tex]
More about the function link is given below.
https://brainly.com/question/5245372
Answer:11/25
Step by step: Edge 2023
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 is the answer to f(0)=(x-3)'2?
The Morningside Soccer Team has uniforms on sale for $21.99. There are 22 soccer players on Louis’s team, including Louis. Every player on the team buys a uniform. How much did they pay in all?
$439.80 [A]
$460.68 [B]
$483.78 [C]
$505.77 [D] . Please choose the following.
Answer: $483.78
Step-by-step explanation:
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:
nth term of 1,2,4,8,16,32,64,...
Answer:
2^(n-1)
Step-by-step explanation:
To find the nth term of the sequence 1, 2, 4, 8, 16, 32, 64,..., we can observe that each term is obtained by multiplying the previous term by 2. Therefore, the pattern can be described by the formula:
nth term = 2^(n-1)
In this formula, n represents the position of the term in the sequence.
For example: I
If we want to find the 5th term, we substitute n = 5 into the formula:
5th term = 2^(5-1) = 2^4 = 16
So, the 5th term of the sequence is 16.
please helpp its extra credit so its not urgent but would be apreciated if you helped!
Answer:
11
Step-by-step explanation:
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:
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:
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
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°
An antique vase increases in value from
£770 to £890.
What is the percentage increase?
Answer:
16% or 15.5%
Step-by-step explanation:
so just do (890-770)/770
solve the equation 3/x-4=1/5
Answer:
The very first thing we want to do in this equation is to isolate x on one side (preferably the left side).
3/x - 4 = 1/5
We get rid of any constants first, by performing the inverse property;
The inverse property of subtraction is addition, so we add 4 to both sides:
+4 +4
3/x = 4 1/5
3 is being divided by x, so the inverse operation of division is multiplication. So we multiply by 1/3 on both sides.
x1/3 x1/3
X = 1 4/10 which simplifies to 1 2/5.
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
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
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.
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
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
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?