The value of the $6000 annuity given annual compounding is $124,836.12.
What is the value of the annuity?
The value of the annuity can be determining using this formula: amount deposited x annuity factor
Annuity factor = {[(1+r)^n] - 1} / r
Where:
n = number of years r = interest rate$6000 x [(1.155^10) - 1/0.155] = $124,836.12
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A law firm charges $450 per hour for its services. To raise revenues, the firm increases its fees by
10%. What is the new rate that the firm charges per hour?
Answer:
The correct answer would be $495 per hour
Step-by-step explanation:
The equation would be
450 divided by 10= 45
=450+45=495
= $495
I really need this, someone help
6+6+8+14=34 all you need to do is add them I think
keith bought a soft drink for 2 dollars and 6 candy bars. he spent a total of 14 dollars. how much did each candy bar cost?
Answer:
2
Step-by-step explanation:
so if you take away 14 by 2 =12 and 12 divided by 6= 2
Answer:
each candy bar cost 2 dollars
Step-by-step explanation:
What is true about the domain and range of the function?
The domain is all real numbers, and the range is all real numbers greater than or equal to –4.
The domain is all real numbers greater than or equal to
–4, and the range is all real numbers.
The domain is all real numbers such that –6 ≤ x ≤ –2, and the range is all real numbers greater than or equal to –4.
The domain is all real numbers greater than or equal to
–4, and the range is all real numbers such that –6 ≤ x ≤ –2.
Answer:
The domain is all real numbers greater than or equal to 4, and the range is all real numbers
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
16 PTS AND BRAINLIEST A book store manager took several random surveys of customers to determine which book genre they purchased most frequently. This table shows the average of each survey.
Based on the data shown in the table, which conclusions can be made about the frequency that customers purchase a genre?
Select each correct answer.
On average, 1 out of 6 customers purchases fantasy books most frequently.
On average, 24% of the customers purchase autobiographies most frequently.
On average, 22% of the customers purchase romance books most frequently.
On average, 2 out of 10 customers, purchase health and wellness books most frequently.
Book Genre Average of Surveys
Autobiographies 24
Mystery 11
Romance 22
Health and Wellness 18
Fantasy 15
Answer:
1/6 customer purchase Fantasy, and 2/10 customers purchase Heath and wellness books.
Step-by-step explanation:
Simply check each number of books over the total than see if it matches the percentage assumed.
Fantasy over total books = 15/90 which is 1/6 So that is correct
Autobiographies over total books = 24/90 = 26.6667 percent which is not what this option said, so not correct.
Romance books over total = 22/90 which equals 24.444 percent which is not equal to the 22 percent option, so also not correct.
And lastly Health and wellness books over total = 18/90 which equals to 20 percent. This is equal to 2/10. So this one is also correct.
Hope this helps, and please mark me brainliest!
Solving an exponential equation by using logarithms: Exact answers in logarithmic form
[tex]14^{-x+10}~~ = ~~13^{3x} \\\\[-0.35em] ~\dotfill\\\\ \log(14^{10-x})=\log(13^{3x})\implies (10-x)\log(14)=x\log(13^3) \\\\\\ 10-x=\cfrac{x\log(13^3)}{\log(14)}\implies \cfrac{10-x}{x}=\cfrac{\log(13^3)}{\log(14)}\implies \cfrac{10}{x}-\cfrac{x}{x}=\cfrac{\log(13^3)}{\log(14)}[/tex]
[tex]\cfrac{10}{x}-1=\cfrac{\log(13^3)}{\log(14)}\implies \cfrac{10}{x}=\cfrac{\log(13^3)}{\log(14)}+1\implies \cfrac{10}{~~\frac{\log(13^3)}{\log(14)}+1~~}=x \\\\\\ \cfrac{10}{~~\frac{\log(13^3)+\log(14)}{\log(14)}~~}=x\implies \cfrac{10\log(14)}{\log(13^3)+\log(14)}=x[/tex]
45th term of an arithmetic sequence having a=3 and d=8 is:
Answer:
a45 = 320
Step-by-step explanation:
The 45th term of the Arithmetic Sequence will be 355.
We have a Arithmetic Sequence with a = 3 and d = 8.
We have to determine the 45th term of this sequence.
What is the formula to calculate the nth term of an Arithmetic Sequence ?The formula to calculate the nth term of an Arithmetic Sequence is -
a(n) = a + (n - 1)d
a - first term of A.P.
d - Common difference of A.P.
n - position of term
According to the question -
a = 3
d = 8
n = 45
Then, using the formula to calculate the nth term, we get -
a(n) = a + (n - 1)d
a(45) = 3 + (45 - 1)8
a(45) = 3 + 44 x 8
a(45) = 3 + 352
a(45) = 355
Hence, the 45th term of the Arithmetic Sequence will be 355.
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Suppose you roll a die 5 times. What is the probability of getting at least one odd number ?
Answer: 1/2 or 50%
Step-by-step explanation:
A dice has 6 numbers; 1,2,3,4,5,6
3 of which are odd numbers
which means:
p(event)= number of favorable outcomes/ number of possible outcomes
p(odd)=3/6
3/6=1/2 or 50%
How many centimetres are there in 1.6 metres?
future value of 10% savings from earnings of 36000 earns 6.25% annual interest compounded quarterly for 15 years
without further ado
10% of 36000 is simply 3600, we chopped a "0" off of it hmmm, ok so
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$3600\\ r=rate\to 6.25\%\to \frac{6.25}{100}\dotfill &0.0625\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &15 \end{cases} \\\\\\ A=3600\left(1+\frac{0.0625}{4}\right)^{4\cdot 15}\implies A=3600(1.015625)^{60}\implies A\approx 9126.53[/tex]
3.2 In the diagram below, ABCD is a parallelogram with Đ=9x-30° and B = 4x+20° 9.-30 B a 420 - 3.2.1 Calculate with reasons the value of x.
Answer:
D=9×30 and B=4x+20°=9.-30 B a 420
88.60 plus what equals 153.25
Answer:
64.65
Step-by-step explanation:
153.25 - 88.60 = 64.65
88.60 + 64.65 = 153.25
Answer:
64.65
Step-by-step explanation:
153.25 - 88.60 = 64.65
64.65 + 88.60 = 153.25
i really need help with multiple of these questions if u get them right please help with more (multiple questions )
Answer:
D. 19.25^2
Step-by-step explanation:
A = 5.5
H = 3.5
A = 19.25^2
The expression c + 0.07c can be used to find the total cost of an item with 7% sales tax, where c is the cost of the item. Use the expression to find the total cost of an item that is $25.
The total cost of the item at the value of $25 and a tax of 7% is $26.75
Total CostGiven Data
Tax = 7%Cost of item c = $25We have the given expression to find the total cost which is
Total = c + 0.07c
Substituting our given data into the expression we have
Total = 25 + 0.07*25
Total = 25 + 1.75
Total = $26.75
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A local farmer decides to sell his produce at the farmer's market. Every Sunday he uses his own fuel to drive
to the market which is 300km away. This costs him R650.00 per week. He sells 50 boxes of fruit for R250.00
and 100 boxes of fruit for R350.00.
What is the dependent variable in this scenario?
Answer:
The money
Step-by-step explanation:
The drive to the farmers market is a certain distance away, which costs him a specific amount of money. If the distance were to change, then so would the price it took to get there per week. Additionally, as the amount of boxes increases, so does the price.
A dependent variable is a variable that directly changes as the independent variable(s) change. In this scenario, the money, or cost is what's changing based on other factors.
hope this helps :)
On Monday, Jullo ran 39 miles. On Tuesday, he ran another
24 miles and on Wednesday he ran 4 miles. How many
miles did Julio run in all?
67 miles
Step-by-step explanation:On Monday, Jullo ran 39 miles.
⇒ Monday = 39 milesOn Tuesday, he ran 24 miles.
⇒ Tuesday = 24 milesOn Wednesday, he ran 4 miles.
⇒ Wednesday = 4 milesFinding the total miles:
Total miles ran on Monday, Tuesday, and Wednesday = 39 + 24 + 4
= 67 miles
which description represents the expression 5x - 9 ?
5x-9 means
9 less than the product of a number and 5
5 times x minus 9
the product of 5 and a number minus 9
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
solve for x ~
[tex]4x - 96 = 0[/tex]
thankyou ~
Step-by-step explanation:
4x - 96 = 0
transferring 96 to Right side4x = 96
x = 96/4
x = 24
Hope it helps you :)
Help picture below 6 problems will give brainlest
Step-by-step explanation:
13. 15² = 12² + ?²
225 - 144 = ?²
? = √81
? = 9 feet
16. D. Regular Hexagon
if x-y = -10 and x-y = 2 what is the value of x
Answer:
x = -4
Step-by-step explanation:
x+y = -10 or y = -10 - x
substitute this into the second equation
x - y = 2
x - (-10-x) = 2
2x + 10 = 2
2x = -8
x = - 4
if the scale of a map is 1 in = 62.5 mi, how long is the distance on the map if the actual distance between the two cities is 218.75 miles
Answer:
3.5in
Step-by-step explanation:
so what i would do is i would divide 218.75 by 62.5
218.75/62.5= 3.5
3.5 in= 218.75 mi
hope that hepls :)
find the measure of x,y and z in the figure
Answer:
y=45°
x=75°
z=60°
Step-by-step explanation:
hard to explain, but I'll try my best. on a single line, it equals 180 when both angles are added up. and the opposite side of an angle is always the same.
answer for this question. Thank you!
Please help me solve this problem
Answer:
$46,800,000
Step-by-step explanation:
1. Find the total number of shares that Live Fund has. They have 24% of the total shares, which is 78,000. To find their portion of the shares, multiply the total amount by the percent they own; 78,000 * .24. This gives us 18720 shares.
2. Since they are selling half of their shares, divide their total number of shares by 2. This gives us 9360.
3. Each share is worth $5000, so multiply 9360 by 5000. This gives us a final answer of $46,800,000.
Alternatively, we could have just found half of the percent of shares that they own in step 1, so what 12% of 78,000 is instead, and multiplied by 5000.
Find two numbers whose product is 110, and whose sum is 21.
Answer:
10 and 11
[tex]10 \times 11 = 110[/tex]
[tex]10 + 11 = 21[/tex]
You estimate that a passive portfolio, that is, one invested in a risky portfolio that mimics the S&P500 stock index that represents the stock market, yields an expected rate of return of 13% with a standard deviation of 25%. You manage an active portfolio with expected return 18% and standard deviation 28%. The risk-free rate is 8%.
a. Draw the CML (Capital Market Line) and your funds’ CAL (Capital Allocation Line) on an expected return-standard deviation diagram. Indicate their slopes.
b. Suppose your client ponders whether to switch the 70% that is invested in your fund to the passive portfolio. Explain to your client the disadvantage of the switch.
c.In the context of part b, Show him the maximum fee you could charge (as a percentage of the investment in your fund, deducted at the end of the year) that would leave him at least as well of investing in your fund as in the passive one.)
(Hint: The fee will lower the slope of his CAL by reducing the expected return net of the fee.)
The capital market line with fee will be 0.3771 and the capital allocation line will be 0.24.
How to calculate the slope?The slope of the capital market line will be:
= (17% - 7% - f)/27
= (10% - f)/27
f = 0.3771
The slope of the capital allocation line will be:
= (13% - 7%) / 25%
= 0.24
The reward to variability ratio will be:
= (17 -7)/27
= 0.3771
The client's reward to variability ratio will be:
= (13 - 7)/25
= 0.25
This shows that the client will be disadvantaged of the switch since it's lower.
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The diameter of a circle is 33 cm. Find its area to the nearest whole number.
Answer:
⇒855cm²
Step-by-step explanation:
→Solution,
Diameter(d)=33cm
Radius(r)=d/2=33cm/2=16.5cm
Now,
Area=πr²
Area=3.14×(16.5cm)²
Area=854.865cm²=855cm²
100 points
See attachment below
Answer:1)x =-30
2)x=-30
Step-by-step explanation: 1: 2(3x+5)=5(x-4) ( remove the parenthesis)
then 6x+-5x=-20x-10 (collect the like trems calulate) so (-20 and -20 on each side) the x=-20-10.
2: 6x+10=5x-20 (move the like trems) so move the variable to the left hand side and change its sign like this 6x+10-5x=-20
6x-5x=-20-10
x=-20-10 which it ='s x=-30
follow my TT at yvngxmiia
Solving Stepwise:
2(3x+5) = 5(x-4) [ Given ]2(3x)+2(5) = 5(x) -5(4) ---------------6x + 10 = 5x - 20 [ Distributive property ]6x + 10 - 5x = 5x -20 -5x ---------------x + 10 = -20 [ subtraction property of equality ]x + 10 -10 = -20 -10 -------------x = -30 [ subtraction property of equality ]Additional Explanation
Distributive property:
a(b+c) = a(b) + a(c)symmetric property of equality:
both sides can be interchanged, x = y, then y = xsubtraction property of equality:
when same number subtracted from both sides, a - c = b - cclosure property:
addition, subtraction and multiplication of integers, a + b = cdivision property of equality:
when both sides divided by same number, a/c = b/cCAN SOMEBODY HELP ME PLEASE
Answer:
g-intercept: (0, 48)n-intercepts: (6, 0), (-4, 0), (2, 0)Step-by-step explanation:
The g-intercept is the point where the function graph crosses the vertical axis. The value there is g(0). It is found by evaluating the function when n=0.
g(0) = (0 -6)(0 +4)(0 -2) = (-6)(4)(-2) = 48
The g-intercept is (0, 48).
__
The n-intercepts are the points where the function graph crosses the horizontal axis. These are the values of n that make g(n) = 0. For each of the binomial factors, that value of n will be the value that makes the factor 0:
n -6 = 0 ⇒ n = 6
n +4 = 0 ⇒ n = -4
n -2 = 0 ⇒ n = 2
The n-intercepts are (6, 0), (-4, 0), and (2, 0).
Answer:
g intercepts: 48
n intercepts: 6, -4, 2
Step-by-step explanation:
Part 1:
To find the g intercepts, set n to 0 everywhere.
You then get:
g(0) = (-6)*(4)*(-2)
g(0) = 48
Part 2:
To find the n intercepts, set g to 0.
You then get:
(n-6) * (n+4) * (n-2) = 0
Solve for n in each part seperately to find all intercepts:
n-6 = 0 -> n = 6
n+4 = 0 -> n = -4
n-2 = 0 -> n = 2
A line passes through the points (0, 6) and (–9, 9). What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
[tex]y = -\frac{1}{3} x + 6[/tex]
Step-by-step explanation:
Slope-intercept form: [tex]y = mx + b[/tex], where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.
The formula to find the slope of a line is [tex]m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex].
1) Plug the coordinates into this [tex]m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex].
[tex]m = \frac{9 -6 }{-9 - 0 }[/tex]
2) Solve it. Simplify it if possible.
[tex]m = \frac{3 }{-9}[/tex]
Simplified: [tex]m = \frac{1 }{-3 }[/tex]
3) Plug the result into [tex]y = mx + b[/tex].
[tex]y = \frac{1}{-3} x + b[/tex]
4) Plug one of the points ([tex]x_{1}, y_{1}[/tex] or [tex]x_{2}, y_{2}[/tex]) into [tex]y = \frac{1}{-3} x + b[/tex] to find [tex]b[/tex].
[tex]6 = \frac{1}{-3}(0) + b[/tex]
[tex]6 = 0 + b[/tex]
[tex]6 - 0 = b[/tex]
[tex]6 = b[/tex]
5) Plug the result of [tex]b[/tex] into [tex]y = \frac{1}{-3} x + b[/tex].
[tex]y = \frac{1}{-3} x + 6[/tex]
The negative situated in the denominator can be genaralised to the fraction.
Therefore, [tex]y = -\frac{1}{3} x + 6[/tex].