Answer:
15000(1.003425)^12t ;
4.11%
4.188%
Step-by-step explanation:
Given that:
Loan amount = principal = $15000
Interest rate, r = 4.11% = 0.0411
n = number of times compounded per period, monthly = 12 (number of months in a year)
Total amount, F owed, after t years in college ;
F(t) = P(1 + r/n)^nt
F(t) = 15000(1 + 0.0411/12)^12t
F(t) = 15000(1.003425)^12t
2.) The annual percentage rate is the interest rate without compounding = 4.11%
3.)
The APY
APY = (1 + APR/n)^n - 1
APY = (1 + 0.0411/12)^12 - 1
APY = (1.003425)^12 - 1
APY = 1.04188 - 1
APY = 0.04188
APY = 0.04188 * 100% = 4.188%
Convert the point-slope form to slope-intercept form. y - 5 = 3(x - 2)
Answer:
y = 3x - 1
Step-by-step explanation:
distribute on the right side of equation first
y - 5 = 3x - 6
now add 5 to each side
y = 3x - 1
Answer:
Step-by-step explanation:
y - 5 = 3x - 2
y = 3x + 3
In a lab experiment, 3400 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 8 hours. How long would it be, to the nearest tenth of an hour, until there are 13700 bacteria present?
Answer: 16.1
Step-by-step explanation:
What is 9.52 rounded to the nearest tenth?
o 9.0
9.5
o 9.6
O 10.0
I need this fast
Answer:
9.5
Step-by-step explanation:
When rounding to the nearest tenth, check to see what the hundredths place value is.
If it is 0.05 or greater, we will round the tenths place up one.
If not, the tenths place will remain the same.
Since 9.52 has a hundredths place value of 0.02, we will keep the same tenths place value.
So, the correct answer is 9.5
In a carnival game, there are six identical boxes, one of which contains a prize. A contestant wins the prize by selecting the box containing it. Before each game, the old prize is removed and another prize is placed at random in one of the six boxes. Is it appropriate to use the binomial probability distribution to find the probability that a contestant who plays the game five times wins exactly twice?
A) Yes. The five trials are independent, have only two outcomes, and have the same P(success); n = 5, r = 2, p = 1/5.
B) Yes. The five trials are independent, have only two outcomes, and have the same P(success); n = 2, r = 5, p = 1/6.
C) No. The five trials are independent, but have more than two outcomes.
D) Yes. The five trials are independent, have only two outcomes, and have the same P(success); n = 5, r = 2, p = 1/6.
Answer:
D) Yes. The five trials are independent, have only two outcomes, and have the same P(success); n = 5, r = 2, p = 1/6.
Step-by-step explanation:
The Number of boxes = 6
Box containing a prize = 1
Probability of success, p = box containing a price / number of boxes = 1 /6
Number of trials = 5
Probability of success on exactly 2 trials, r = 2
Hence,
P(r = 2) = nCr * p^r * (1-p)^(n-r)
n = 5 ; r = 2 ; p = 1/6
Using a binomial probability calculator :
P(r = 2) = 0.1608
help me please asap I'll give brainleist
B!!!!!!!!!!!!!!!!!!!!!!
hope this helps
Pls answer The Following Question
Answer:
15.
a)
i)43/9= 4 7/9
ii)17/4= 4 1/4
b)
i)3 9/11= 42/11 - 11 times 3=33, 33+9=42
ii)5 6/12= 66/12 - 12 times 6=60, 60+6=66
You’re going to need a drink with your dog. There are deals now on their soda: 12 oz - $1.29 or 14oz.- $1.49 What’s the better deal?
Find the slope of the line for the angle.
330 degrees
Find x for the trapezoid.
J
K
(2x+15).. (3x-20).
(x +15).
N4
M.
Answer:
50°
Step-by-step explanation:
All quadrilaterals' interior angles sum to 360°:
(x + 15)° + (2x + 15)° + (3x - 20)° + x° = 360°
x + 15 + 2x + 15 + 3x - 20 + x = 360
7x + 10 = 360
7x = 360 - 10
7x = 350
x = 50°
Which critical thinking issue is most relevant to the following situation:
A survey asks the following: Should the President have the line item veto to eliminate waste?
self-interest study
O assumed accuracy from overly precise numbers
voluntary response bias
Ononresponse bias or missing data
perceived lack of anonymity
loaded or leading question
Answer: loaded or leading question
Step-by-step explanation:
Loaded or leading questions aim to elicit a particular response from the respondents by including an assumption that makes people feel bad or good if they answer in a certain way. It essentially plays on their emotions and ideals.
The question in the survey is a loaded question because in saying/assuming that the veto will be able to eliminate waste, it makes people more likely to vote in the affirmative as they would want the president to either get rid of waste or would feel bad if they did vote for such an environmental endeavour.
Given the equation: x + 8 = 32
True or False:
The equation can be solved using subtraction.
Group of answer choices
True
False
Answer:
true by subtract ing 8 we solve it.
Answer:
True
Step-by-step explanation:
x + 8 = 32
x + 8 - 8 = 32 - 8
x = 24
You want to find out how sleep deprivation affects motor performance. To study this, you have sleep-deprived subjects (such as parents of newborn babies or night-shift workers) record the number of minutes they sleep each night and take a series of motor performance assessments, with 1 minute being the smallest unit on the scale. Suppose the first subject sleeps 250 minutes. Determine the real limits of 250.
Answer:
the real limits are;
Lower Real Limits = 249.5
Upper Real Limits = 250.5
Step-by-step explanation:
Given the data in the question;
1 minute being the smallest unit on the scale
so we say; 1/2 which 0.5 minutes which we will use to calculate pur real limits time;
given that; the first subject sleeps 250 minutes
so
Lower Real Limits will be;
Lower Real Limits will = 250 - 0.5 = 249.5
Also our Upper Real Limits will be;
Upper Real Limits = 250 + 0.5 = 250.5
Therefore; the real limits are;
Lower Real Limits = 249.5
Upper Real Limits = 250.5
After a party, 1/3 of a pizza
remains. Rachel eats 1/2 of the
remaining pizza. What fraction of a
pizza does she eat?
The required fraction of the pizza Rachel eat is 1 / 6.
Given that,
After a party, 1/3 of a pizza remains. Rachel eats 1/2 of the remaining pizza. What fraction of a pizza she eat is to be determined.
The technique in mathematics to perform and solve the expression to make the expression simple or more understandable is called simplifying and the process is called simplification.
What is the Ratio?The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
Here, remaining pizza = 1 / 3
Rachel eats 1 /2 of the remaining pizza so,
= 1 / 2 * 1 / 3
= 1 / 6
Thus, the required fraction of the pizza Rachel eat is 1 / 6.
Learn more about Ratio here:
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Can someone please help me with these A B C D it’s urgent zoom in if needed I’ll also mark brainliest don’t just randomly answer I will report u
Answer:
First doing it by mental math.
a. you do the same thing that you do when evaluating the expression but do it in your mind. First add the numbers before the decimal point and then add the numbers after decimal point. Then add the decimal where in the equation the decimal point lies. I got 13.0 or 13 when I did it in my mind.
b. Over we see that we have a negative number in the beginning and then positive number. You must be thinking that this is going to be hard to calculate it in your mind, but actually it is very easy. add 5 + 4.6 + 1 in your mind. You will get 10.6. Now subtract 10.6 - 5.6. You will get 5.
c. This is also easy. You are given a mixed number. What you will do is first solve the whole numbers in your mind (3, 4, 1). 3 - 4 + 1 = 0. Now you are only left with fraction. Solve the fractions in your mind. This is a trick that I use that doesn't work in all fraction. Sometimes I will have to solve it on paper, but sometimes I can just use my mind to solve. If you see in the equation you have 2 fractions with same denominator. So, add 1/6 + 5/6 = 1. Now subtract 1 - 3/4. It will give you 1/4.
Now let us solve it on paper. I have attached a picture of it.
HELPPP ITS QUESTION 17 BTW
Answer:
c
Step-by-step explanation:
Answer:
12n
Step-by-step explanation:
Find the equation of a line perpendicular to 3x−4y=6 that contains the point (2,−4).
Answer: y= -4x/3 - 4/3
Step-by-step explanation:
The equation of the line in the slope-intercept form is y=3x4−32.
The slope of the perpendicular line is negative inverse: m=−43.
So, the equation of the perpendicular line is y=−4x3+a.
To find a, we use the fact that the line should pass through the given point: −4=(−43)⋅(2)+a.
Thus, a=−43.
Therefore, the equation of the line is y=−4x3−43.
Answer:
Step-by-step explanation:
y=mx+b
3x-4y=6
4y=3x-6
y=(3x-6)/4
So the slope, m, is 3/4
For lines to be perpendicular m1(m2)=-1, in this case
3m/4=-1
m=-4/3 so our line so far is
y=-4x/3+b, using point (2,-4) we can solve for the y intercept or b
-4=-4(2)/3+b
b=-4/3 so
y=(-4x-4)/3
Alex has 6,000 grams of jelly beans. He is filling boxes that each hold 2 kilograms of jelly beans and selling the boxes for $9.95. How much money will he make from selling the boxes?
Answer:
29.85
Step-by-step explanation:
since a kilogram i 1000 grams and he is putting 2 kilos in each box he can only fill 3 boxes.
please help i cany figure this one out
Answer:
acute angle
Step-by-step explanation:
Big brain
Answer:
Adjacent
Step-by-step explanation:
mary ann is building a fence around the outer edge of a rectangular garden plot that measures 25 feet by 45 feet. She will set post 5 feet apart. How many post will she need?
Answer:
28
Step-by-step explanation:
find perimeter (25 + 25 + 45 + 45 = 140)
divide your perimeter by 5 (140 ÷ 5 = 28)
therefore you need 28 fence posts
Among fatal plane crashes that occurred during the past 55 years, 347 were due to pilot error, 83 were due to other human error, 596 were due to weather, 374 were due mechanical problems, and 114 were due to sabotage. Construct the relative frequency distribution.
Required:
What is the most serious threat to aviation safety, and can anything be done about it?
Answer:
Pilot error = 347 / 1487 = 0.233 = 23.3%
Other human error = 83 / 1514 = 0.055 = 5.6%
Weather = 596 / 1487 = 0.401 = 40.1%
Mechanical problem = 374 / 1487 = 0.233 = 23.3%
Sabotage = 114 / 1487 = 0.077 = 7.7%
Step-by-step explanation:
Given the data :
Pilot error = 347
Other human error = 83
Weather = 596
Mechanical problem = 374
Sabotage = 114
Cummlative sum = (347 + 83 + 596 + 374 + 114) = 1487
Relative frequency :
Pilot error = 347 / 1487 = 0.233 = 23.3%
Other human error = 83 / 1514 = 0.055 = 5.6%
Weather = 596 / 1487 = 0.401 = 40.1%
Mechanical problem = 374 / 1487 = 0.233 = 23.3%
Sabotage = 114 / 1487 = 0.077 = 7.7%
Based on the relative frequency estimate, Weather is the most serious threat to aviation safety.
Deployment of more weather monitoring technologies
PLEASE SOMEONE HELP THIS IS THE LAST ANSWER ON MY TEST BUT I DONT KNOW MATH GOOD???
Answer:
x = 7
Step-by-step explanation:
By stips please ........
Answer:
6x + 3h
Step-by-step explanation:
F(X) = 3x^2
F(X+h) = 3(X+h)^2
then F(X+h) - F(X) / h
= 3(X+h)^2 - 3x^2 / h
= 3(x^2 + 2hx + h^2) - 3x^2 / h
= 3x^2 + 6hx +3h^2 - 3x^2 / h
= 6hx + 3h^2 / h
= h (6x +3h) / h
= 6x + 3h
I hope this answer is correct
What is x equaled too
Answer:
8/15 or 8 over 15 should be the answer
I don’t know what to do please help
Answer:
f(2)=0
Step-by-step explanation:
You plug in 2 for any X's in the equation
f(2)=2^2-4
Please help
Solve the equation.
2 x/-10=2/5
6.2÷3/4= ? and Explain how you got your answer.
Answer:
8.26 or 8.3 (If Rounded)
Step-by-step explanation:
When I'm dealing with problems involving fractions. I turn the fractions to decimals. So, on a calculator, just do 3/4, you'll get 0.75.
Then, the problem would be 6.2 ÷ 0.75 = 8.26
Anyone 100% know dis answer
Answer:
Rotational symmetry
Step-by-step explanation:
The rectangle rotated 180 degrees to get the transformed rectangle.
A book and a magazine cost 9.00. If a book costs 3$ more than a magazine , what is the cost of each
What's slope Line
pass through( 14, 4)( 21, 6 )
Answer:
[tex]\displaystyle m=\frac{2}{7}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (14, 4)
Point (21, 6)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{6-4}{21-14}[/tex][Fraction] Subtract: [tex]\displaystyle m=\frac{2}{7}[/tex]Jim invested $750 in a 3-year CD that earns 4.2% annual interest that is compounded monthly. How much will the CD be
worth at the end of the 3-year term? Include the dollar sign in your answer, and round to the nearest cent.
Provide your answer below:
Answer:
4.2% of 750 = 31.5
31.5 * 3 = 94.5
~Hope this helps~
The worth of CD after 3 years will be $853.07 at the given rate of interest.
What is compound interest?Compound interest is applicable when there will be a change in the principle amount after the given time period.
For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount. After 1 year the interest will be $50 and hence principle amount will become $550 now for the next year the interest will be $550, not $500.
Given that,
Principle amount P = $750
Rate of interest R = 4.3%
Time period T = 3 years
Number of times interest compounded annually (n) = 12
The compound interest formula is given by;
A = P[1 + R/n]^nT
A = 750[ 1 + 4.3/1200]¹²⁽³⁾
A = $853.07
Hence "The worth of CD after 3 years will be $853.07 at the given rate of interest".
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