The amount of money in the account at the end of the period would be $1345.58.
What is compound interest?Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.
Given is that an initial investment of $480 is appreciated for 7 years in an account that earns 15% interest, compounded quarterly.
We can write the compound interest as -
[tex]$A = P(1 + \frac{r}{n})^{nt}[/tex]
A = 480(1 + 0.15/4)^(4 x 1)
A = 480 + 865.58
A = 1345.58
Therefore, the amount of money in the account at the end of the period would be $1345.58.
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What is the area of a rectangle with the measurement of the length of 12 and width of 6
Answer:
72 units^2
Step-by-step explanation:
Write an equation when Angle A and Angle B are vertical angles
Answer:
X + Y = 180°
Step-by-step explanation:
We know that vertical opposite angles are equal
So,
Angle A = Angle B
So,
Assume;
Angle A = x
So,
Angle A + Y = 180°
So,
X + Y = 180°
pleaseeeee help me!!!!! i’ll appreciate it so much!
Answer:
Step-by-step explanation:
∠Y = ∠P, so AY = AP
Perimeter = AY + AP + 13 = 43
AY + AP = 30
∠Y = ∠P, so AY = AP
AP = 30/2 = 15
What is the correct answer?
Answer:
right 6
down 3
Step-by-step explanation:
Take 1 point and make it go from red to blue. All the rest will do the same thing.
This is just an random choice. Choose the lowest point on the red. It is at
(-3, - 2)
Now to go to the lowest point on the blue, you start by going right from - 3 to + 3 That is 6 units to the right.
Now it also goes down. The red point is -2 for the y or down direction.
It goes down to - 5. So that's down 3 units.
I need help please help
Answer:
137
Step-by-step explanation:
In a class of 80 students,40 study physics,48study mathematics and 44 study chemistry,20 study physics and mathematics,24 study physics and chemistry and 32 study only two of the three subjects.Of every student studies at least one of the three subjects.Find ; 1.The number of students who study all the three subjects.2.The number of students who study only mathematics and chemistry.
Answer:
80+40+44-20÷24+32 ♡♡♡
Using set operations,
1.The number of students who study all the three subjects = 10
2.The number of students who study only mathematics and chemistry = 8
What are set operations?Set operations are the operations that are applied on two or more sets to develop a relationship between them. There are four main kinds of set operations which are as follows.
Union of setsIntersection of setsComplement of a setRelative ComplementLet mathematics = M, physics = P, chemistry = C.
n(M∪P∪C) = 80
n(M) = 48
n(P) = 40
n(C) = 44
n(M∩P) = 20
n(M∩C) = ?
n(C∩P) = 24
n(M∩P) + n(M∩C) + n(C∩P) - 3n(C∩P∩M) = 32
20 + n(M∩C) + 24 - 3n(C∩P∩M) = 32
n(M∩C) = 3n(C∩P∩M) - 12 - *
We know,
n(M∪P∪C) = n(M) + n(P) + n(C) - n(M∩P) - n(M∩C) - n(C∩P) + n(C∩P∩M)
80 = 48 + 40 + 44 - 20 - n(M∩C) - 24 + n(C∩P∩M)
n(M∩C) = n(C∩P∩M) + 8 - **
Equating * and **,
n(C∩P∩M) + 8 = 3n(C∩P∩M) - 12
2n(C∩P∩M) = 20
n(C∩P∩M) = 10
putting the value of n(C∩P∩M) in *
n(M∩C) = 18
n(M∩C) - n(C∩P∩M) = 8
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In the ordered pair of numbers (-2,8) the number - 2 is called the
and the number 8 is called the
Answer:
x co-ordinate and y co-ordinate
a rectangular prism with a volume of 10 cubic units is filled with cubes with side lenghts of 1/2 unit how many 1/2 unit cubes does it take to fill the prism
Answer:
Step-by-step explanation:
The volume of a cube is
V=s^3, we are told the volume is 10u^3 and that it will be filled with cubes having a side of 1/2 so
n(1/2)^3=10, where n will be the number of these small cubes
n(1/8)=10 upon multiplying each side by 8
n=80
So it will take 80 cubes of side length 1/2 to have a volume equal to 10u^3
Provide a full and complete explanation for the ratios of a 30-60-90 right triangle. Your explanation should include plain English explanation as well as mathematical explanation in the form of equations and symbols. While pictures could be helpful, they are not required and will not be scored as part of the solution.
Answer:
Step-by-step explanation:
a 30-60-90 right triangle is a right triangle because of the 90
the 30 and the 60 have to make 90 too since traingles make 180
30 + 60 + 90 = 180
so 30-60-90 is a right triangle.
Right triangles also can use pythagoran theorem, so the angle ratio is
30-60-90
but the side ratio is
a² + b² = c²
ILL GIVE BRAINLIEST TO WHO EVER CAN ANSWER MY LAST QUESTION
Question 6 of 25
Today Charlie put a ring on layaway by making a down payment of $85 and
agreeing to pay $18 per month, starting next month, for 21 months. When will
Charlie receive the ring?
O A. In 21 months
O B. In 1 month
O C. Today
OD. In 18 months
Charlie will receive the ring in 21 months.
What does layaway mean?It is a method of buying something in which a person can make a downpayment to buy something at a store and the store holds the item on their behalf until the last payment is done after which they gain possession of it.
Charlie has put in a ring on layaway. This means that he will only receive the ring in 21 months after he has finished paying all the installments. He will not gain possession of the ring right away after making the downpayment of $85.
Thus, we have found that Charlie will receive the ring in 21 months. The correct answer is option A.
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Silicone implant augmentation rhinoplasty is used to correct congenital nose deformities. The success of the procedure depends on various biomechanical properties of the human nasal periosteum and fascia. An article reported that for a sample of 13 (newly deceased) adults, the mean failure strain (%) was 26.0, and the standard deviation was 3.4. (a) Assuming a normal distribution for failure strain, estimate true average strain in a way that conveys information about precision and reliability. (Use a 95% confidence interval. Round your answers to two decimal places.)
Answer:
The 95% confidence interval for the true average strain is between 23.94% and 28.06%.
Step-by-step explanation:
We have the standard deviation of the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 13 - 1 = 12
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 12 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.18
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.18\frac{3.4}{\sqrt{13}} = 2.06[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 26 - 2.06 = 23.94
The upper end of the interval is the sample mean added to M. So it is 26 + 2.06 = 28.06
The 95% confidence interval for the true average strain is between 23.94% and 28.06%.
Select the lesser of the two given numbers.
16, 1-19
Convert: 112 meters =______________________
centimeters
Answer: m cm
112.00 11,200
Step-by-step explanation:
Does all of these ordered pairs represent a function (-1,1), (3,11), (-4,-3), (-2,8), (0,5)
Yes. In mathematics, a function is a binary relation between two sets that associates to each element of the first set exactly one element of the second set.
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hope it helps
An escalator lifts people to the second floor of a building, 21 ft above the first floor. The escalator rises at a 30° angle. To the nearest foot, how far does a person travel from the bottom to the top of the escalator?
Answer:
42
Step-by-step explanation:
Sin 30=21/H
H=21/sin 30
H= 42
What is 6 cups divided equally into four containers
Answer:
6x4=24 it's either this one or the one on top
which expression is equivalent to this expression?
thank you :)
Answer:
C. -4x - 1
Step-by-step explanation:
[tex]-\frac{1}{2}(8x+2)[/tex]
Distribute the term outside of the parenthesis, Multiply each term in the parenthesis by the term outside (do not forget to include the negative sign when multiplying);
[tex](-\frac{1}{2}(8x))+(-\frac{1}{2}(2))[/tex]
Simplify,
[tex]-4x - 1[/tex]
okay i only have 40 points left and i cant figure out my goformative that my teacher put up if i can get one of yalls discord or anything to were you can help me please do
Answer:
add me keegan#0839
Step-by-step explanation:
Solve this using substitution method. Many many thanks
Answer:
y=2 and x=1
Step-by-step explanation:
sub 2 into 1
3(15-7y) + 4y= 11
45 - 21y +4y =11
-21y+4y= 11-45
-17y= - 34
y=2
Therefore sub y into x equation
x=15-7(2)
x= 1
Answer:
3x + 4y = 11
x = 15 -7 y
3 (15-7y) = 11
45 - 21y + 4y = 11
45 - 17 y = 11
-17 y =11 -45
-17y ÷ -17 = -34 ÷ -17
y = 2
x = 15 - 7y
x = 15 - 7(2)
x = 15 - 14
x = 1
there for y = 2 and x = 1 is the solution
20 minus 8 help
.... 6×7. 2 differt questions answer separately
20-8=12
6x7=42
i shall say this is correct
Answer:
43.2
Step-by-step explanation:
What's is another name for m? Y = mx
Step-by-step explanation:
it's slope intercept form
Answer:
slope (I think)
Step-by-step explanation:
Pls this one more i will 20 point
Answer:
u dont have a question attached
Step-by-step explanation:
The sum of 666 consecutive integers is 393393393.
What is the third number in this sequence?
Answer:3
Step-by-step explanation:
A company sells an insurance policy against losses incurred during travel for $15. 40,000 customers buy the insurance policy. The policy pays the full amount claimed up till $5,000. Most policy holders claim nothing, the rest either $500 or $5,000. Each customer has the following probabilities of claiming a certain amount for damages, independent of the other customers.
Claim $0 $500 $5,000
Probability 99% 0.8% 0.2%
Estimate the probability that the company makes a positive net profit across the 40,000 contracts.
Work out the area of a rectangle with base, b = 20mm and perimeter, P = 60mm.
b
The diagram is not drawn to scale.
base+perimeter
20mm+60mm
=80mm
the math club has 18 members and 50% are girls. the science club has 25 members and 40% are girls. the principal wants to know which club has more girls. how many girls are in the math club? how many girls are in the science club?
Aubrey was buying candy for goodie bags for her birthday party. She bought 6 pounds of Jelly beans. How much did she spend on Jelly Beans? (please don´t guess)
Answer:
$8.35
Step-by-step explanation:
6 pounds is $8.35
is 1/10, 1/4, and 1/8 more or less than 1/2
Answer:
They are less than 1/2
Step-by-step explanation:
If 2h=81^2−19^2, then find the value of h.
Answer:
h = 3100
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
2h = 81² - 19²
Step 2: Solve for h
Evaluate exponents: 2h = 6561 - 361Subtract: 2h = 6200[Division Property of Equality] Divide 2 on both sides: h = 3100Answer:
2h = 81^2 - 19^2
2h = 6561 - 361
2h = 6200
h = 6200/2
h = 3100