7.1 years
Step-by-step explanation:
Principle P = 9000 dollars
Rate r = 4.75% = 0.0475
Total Amount A = 12600 dollars
compounded quarterly n = 4
Time t = ?
t = ln(A/P) / n[ln(1 + r/n)]
t = ln(12,600/9,000) / ( 4 × [ln(1 + 0.011875/4)] )
t = 7.1 years
so the answer is 7.1 years
At the market Sydney put a few pairs in a bag then ways the bag on a product scale the bag pairs way 4.75 pounds she adds more pairs to the bag the new way of the bag is now 5.6 pounds right and solve an addition equation to find the weight of the pairs added to the bag?
Answer:
0.85 pounds
Step-by-step explanation:
We start with a bag that weighs 4.75 pounds and want to find the weight of the pairs added to the bag.
Let x equal the weight of the pairs added to the bag.
We can write an equation containing 4.75 pounds and x, and solve for x to find this weight value.
y = 4.75 + xWe know that the final weight of the bag is 5.6 pounds, so we can substitute this value for y.
5.6 = 4.75 + xSubtract 4.75 from both sides of the equation.
0.85 = xThe weight of the pairs added to the bag is 0.85 pounds.
3. If an investment company pays 6% compounded semiannually, how much should you deposit
now to have $10,000 5 years from now?
Answer:
$9,287.67
Step-by-step explanation:
Number of years 5
Interest per pd 3%
FV 10,000
Calculator.net has a financial calculator that will greatly help you
The formula for the amount earned with compound interest after n years is given as:
A = P [tex](1 + r/n)^{nt}[/tex]
P = principal
R = rate
t = time in years
n = number of times compounded in a year.
The amount to deposits so that after 5 years, 10,000 is the amount is
$7,440.94
What is compound interest?It is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P [tex](1 + r/n)^{nt}[/tex]
P = principal
R = rate
t = time in years
n = number of times compounded in a year.
We have,
r = 6%
n = 2
A = $10,000
t = 5 years
A = P [tex](1 + r/n)^{nt}[/tex]
P = 10,000 / [tex](1 + 0.03)^{10}[/tex]
P = 10,000 / [tex](1.03)^{10}[/tex]
P = $7,440.94
Thus,
The amount to deposits so that after 5 years, 10,000 is the amount is
$7,440.94
Learn more about compound interest here:
https://brainly.com/question/13155407
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can you please help me with this? u get 15 points :))
Answer:
-80x+24
Step-by-step explanation:
he FDAL level for insect filth in chocolate is 0.6 insect fragments (larvae, eggs, body parts, and so on) per grams. Suppose that there is an average of 0.57 insect fragments per gram of chocolate bar and the distribution is following a Poisson distribution. Compute the probabilities that the number of insect fragments in a 50-gram sample of chocolate bar are:
Answer:
Step-by-step explanation:
[tex]\text{To find :} \\ \\ 1.) \ \ \text{More than 20} \\ \\ 2) \text{Less than 30 } \\ \\ 3) \ \text{Within the range of }( \mu - \sigma , \mu +\sigma)[/tex]
[tex]\ \ \ Since \ \ X \ \text{follows a poisson distribution and;} \\ \\ X\sim Poisson (0.57) per \ gram \\ \\ X \sim Poisson (28.5) \ per \ 50 \ grams \\ \\[/tex]
[tex]1) \ \ \ \text{The probability } P(X>20) = \sum \limits ^{50}_{x=21} \dfrac{e^{-28.5}\times 28.5^x}{x!} \\ \\ \mathbf{ = 0.9389}[/tex]
[tex]2) P( X<30) = \sum \limits ^{29}_{x=0} \dfrac{e^{-28.5}\times 28.5^x}{x!} \\ \\ \mathbf{=0.5861}[/tex]
[tex]\text{3) Since then mean}\ \mu = 28.5 \\ \\ \sigma =\sqrt{28.5} = 5.339 \\ \\ \mu - \sigma = 28.5 -5.339= 23.161 \\ \\ \mu + \sigma = 28.5 + 5.339 = 33.839[/tex]
∴
[tex]P(23.161 < X< 33.839) = \sum \limits ^{33}_{24} \dfrac{e^{-28.5}\times 28.5^x}{x! } \\ \\ = P(X\le 33) - P( X \le 23) \\ \\ = 0.82678 - 0.1750 \\ \\ \mathbf{= 0.6516}[/tex]
Need help :C
A bakery in Hong Kong regularly orders carton of cranberries from Australia. The net weight (in ounces) of
cranberries of a random sample of 20 cartons were as follow:
160 170 170 190 210 240 240 240 270 280
290 290 300 420 500 520 530 610 630 650
(c) The bakery orders the cranberries from Australia with currency exchange rate of AUD 1 to HKD 5.8.
For each ounce of Australia cranberries costs AUD 2 and the fixed shipping fee of each carton is HKD
80. Find the mean, standard deviation, range, and third quartile of the payment (in HKD) of ordering a
carton of cranberries from Australia to Hong Kong.
Answer:
i) Mean = 1933.1817
ii) Range = 5684
iii) Third quartile = 6054
Step-by-step explanation:
Given data :
currency exchange rate : 1 AUD = 5.8 HKD
cost of each ounce = 2 AUD
Fixed shipping cost for each carton = 80 HKD
number of cartons = 20
next determine the total cost of the 20 cartons in HKD
= ∑(weight in ounce * cost of each ounce *exchange rate) +fixed shipping cost
= ∑ ( 160*2*5.8 + 80 ) + -------------- + (650 *2*5.8 + 80 ) ----------------- ( 1 )
= 81756 HKD
i) find the mean value ( X )
= Total cost / number of cartons
= 81756 / 20 = 4087.8
ii) Find the standard deviation
= [tex]\sqrt{\frac{(1936-4087.8)^2+-----+(7620-4087.8)^2}{20-1} }[/tex] note: std = √∑(xi-X )^2 / (n-1)
= 1933.1817
iii) Find the range
Range = highest cost - lowest cost ( values gotten from equation 1 )
= 7650 - 1936
= 5684
iv) Determine the third quartile
third quartile = 6054
attached below is the detailed solution
Write an equation parallel to x
– 3y = 9 that passes through the point (3,-1).
Step-by-step explanation:
x-3y=9
x=9+3y
x=12y
xy=12What is the mean, median and mode of the data below. (List in that order: mean, median, mode) 18, 24, 20, 18, 21
Answer:
Mean: [tex]20.2[/tex], Median: [tex]20[/tex], Mode: [tex]18[/tex]
Step-by-step explanation:
The mean or average of a data set is calculating by dividing the sum of the data values by the number of the data values. In this case, the sum of the data values is [tex]18+24+20+18+21=101[/tex] and the number of data values is [tex]5[/tex], so the mean is [tex]\frac{101}{5}=20.2[/tex].
The median of a data set is the middle value when the data is ordered in ascending order, meaning least to greatest. Right now, the data is not in ascending order, but after ordering it, we get [tex]18,18,20,21,24[/tex]. Since there are [tex]5[/tex] data values in this set, the middle value, or median, will be the [tex]3[/tex]rd value, which, in this case, is [tex]20[/tex].
Finally, the mode of a data set is the most frequent value, or the value that shows up the most. In this case, [tex]18[/tex] shows up twice, unlike the other numbers, which only show up once, so we know that the mode is [tex]18[/tex]. Hope this helps!
173 The midpoint between x and a is m. What is x ?
If so, [tex]m=\frac{x+a}{2}[/tex] when solved for x will yield [tex]x=2m-a[/tex].
Hope this helps.
Plzz help meee! I am timed
Answer:
The Answer Is 8 five dollar bills
Step-by-step explanation:
First you Multiply 5 by 8 Then divide the answer by 5
how do you simplify the fraction 5/4?
Answer:
1 1/4
Hope this helps
Answer: I think the answer is 1 1/4
Step-by-step explanation:
The ratio of blue paint to yellow paint in a green paint mixture is 2 : 3. If you use 16 ounces of blue paint, how many ounces of yellow paint do you need. Include tape diagram
Answer:
24ounces
Step-by-step explanation:
16 ounces is 2x 8
8=1:1 ratio
8x3=24
2:3 = 16:24
A person invests 7000 dollars in a bank. The bank pays 4% interest compounded quarterly. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 14700 dollars?
Answer:
18.6
Step-by-step explanation:
Answer:
18.6
Step-by-step explanation:
trust me brotha plz give me like
A board is 6 feet 11 inches long. How long is it in inches
Answer:
83 inches
Step-by-step explanation:
Consider the equation y = 4x - 10. Find y if x = 3.
Answer:
y = 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
y = 4x - 10
x = 3
Step 2: Evaluate
Substitute in x: y = 4(3) - 10Multiply: y = 12 - 10Subtract: y = 2Answer:
The simplified system is the arbitrary solution of the original system of equations
Step-by-step explanation:
Y=2 and x=3
Correct me if I’m wrong.
Hope this helps
A person places $277 in an investment account earning an annual rate of 6.7%,
compounded continuously. Using the formula V = Pem, where V is the value of the
account in t years, P is the principal initially invested, e is the base of a natural
logarithm, and r is the rate of interest, determine the amount of money, to the
nearest cent, in the account after 10 years.
9514 1404 393
Answer:
$541.32
Step-by-step explanation:
Putting the given values into the given formula, you have ...
V = P·e^(rt)
V = $277e^(0.067·10) ≈ $541.32
please help me im literally crying help if I fail i give up i can't.
Answer:
52 m²
Step-by-step explanation:
12x3 = 36
2 x (11-3) = 2x8 = 16
36+16 = 52
Step-by-step explanation:
12 x 10 x 3 = 360
8 x 11 x 2 = 176
once you get the final amounts you add them to gather which is 536.
Hope This Helped You :)
Find the solution to 2/3x = -24
Answer:
x=-36
Step-by-step explanation:
what is 2 and 1/3 divided by 1/4
Answer:
[tex] 9\frac{1}{3} [/tex]
Tell whether – 7 is a solution of y + 14 > 2.
Answer:
y>-12
Step-by-step explanation:
y+14>2
y+14-14>2-14
y>-12
What is the perimeter of the figure?
5 cm
4 cm
4 cm
4 cm
5 cm
Tom purchased 5 football games for 10.88 each and 5 pokemon games for 11.87 each with 6 20 bills. How much change did tom get
Answer:
5*10.88 + 5*11.87=113.75
120-113.75=6.25
$6.25
Step-by-step explanation:
HELP THIS IS DUE IN 10 MINUTES!!!!!! Which ratio defines te whenr represents radius, and d represents diameter?
22
d
27
d
2пт
Ο Ο.
2r
d
Answer:
2πr/d
Step-by-step explanation:
Circumference = 2πr
Pi = circumference/diameter
=2πr/d
Find sec x if sin x = -7/25 and cot x = -24/7.
Show work. Thanks.
Answer:
[tex]sec\ x = \frac{25}{24}[/tex]
Step-by-step explanation:
Given
[tex]sin\ x = -\frac{7}{25}[/tex]
[tex]cot\ x = -\frac{24}{7}[/tex]
Required
Determine sec x
Sec x is calculated as:
[tex]sec\ x = \frac{1}{cos\ x}[/tex]
Multiply by sin x/sin x
[tex]sec\ x = \frac{1}{cos\ x} * \frac{sin\ x}{sin\ x}[/tex]
[tex]sec\ x = \frac{1}{sin\ x} * \frac{sin\ x}{cos\ x}[/tex]
[tex]sec\ x = \frac{1}{sin\ x} * \tan\ x[/tex]
[tex]tan\ x = \frac{1}{cot\ x}[/tex]
[tex]sec\ x = \frac{1}{sin\ x} * \frac{1}{cot\ x}[/tex]
The equation becomes:
[tex]sec\ x = \frac{1}{-7/25} * \frac{1}{-24/7}[/tex]
[tex]sec\ x = \frac{-25}{7} * \frac{-7}{24}[/tex]
[tex]sec\ x = \frac{25}{24}[/tex]
The Venn diagram shows the relationships among different sets of numbers.
Which number would be located in the shaded part of the diagram?
-1.7
-8
2/3
10
Math. Find Mid point and fx
Answer: Option B.
Step-by-step explanation:
When we have an interval with lower bound m and upper bound M, such that:
m ≤ x ≤ M
The mid-point is:
(m + M)/2
in this case, we have:
m = 22
M = 27
then the mid-point is:
(22 + 27)/2 = 24.5
and we know that f = 7, then:
f*x = f times the mid-point = 7*24.5 = 171.5
The correct option is B.
Assume f(x) = ax^2+ bx + c Which one is true? f is a parabola that opens sideways to the right. f is a parabola that opens sideways to the left. f is a parabola that opens downward. f is a parabola that opens upward.
Step-by-step explanation:
f is a parabola that opens upward.
The time in rio is 3 hours behind london
The time in new york is 5 hours behind london
what is the time in rio when it is 11pm in new york
Jerry and Olivia were running a relay race. The race was 25.78 kilometers total. If Jerry ran 15.18 kilometers how far did Olivia run?
write the equation below in word.
z=(8-3)+10
Answer:
I think of a number z,add 3 to it, then l subtract 8 from it.My answer is 10
Find the value of x.
Answer:
x=20
Step-by-step explanation:
Since the sides are congruent that means the angles are congruent
When they are congruent you can equal them to each other
9x + 80 = 7x + 120
2x= 40
x=20
