The number of years it would take to double at 6% compounded annually is 11.55 years
The number of years it would take to double at 10.2% compounded annually is 6.8 years
What is the doubling time?When an amount earns at a compound interest, it means that the investment increases at an exponential rate. This means that the rate of growth in a new compounding period would be greater than the rate of growth at the previous compounding period.
When an amount is compounded monthly, it means that both the amount invested and the interest that has already been earned increases in value once a month, twelves times a year.
The formula that can be used to determine the number of years it would take the investment to double is:
Number of years it would take to double = In (FV / PV) / r
Where:
FV = future value PV = present value FV / PV = 2 r = interest rater = 6/12 = 0.5%
r = 10.2 /12 = 0.85%
Number of years it would take to double = In2 / 0.005 = 138.629 months
138.629 months / 12 = 11.55 years
Number of years it would take to double = In2 / 0.0085 = 81.547 months
81.547 months / 12 = 6.8 years
To learn more about how to determine the number of years, please check: https://brainly.com/question/21841217
#SPJ1
In response to an economic downturn, a company with 1500 employees reduces the number of employees to 1230. What is the percent decrease? (If necessary, round to two decimal places.)
The number of employees decreased by 18 percent
How to calculate the percent decrease of the employees ?The formular for percent decrease is
old value-new value/old value × 100
old value= 1500
new value= 1230
1500-1230/1500 × 100
= 270/1500 × 100
= 0.18 × 100
= 18
Hence the number of employees decreased by 18 percent
Read more on percent decrease here
https://brainly.com/question/13722747
#SPJ1
Annalea wants to know which school has higher athletic achievements relative to budget per student
The ways to know know which school has higher athletic achievements relative to budget per student are:
% of students in sports club divided by SAT averagethe number of sports medals won divided by SAT averageHow to illustrate the information?Analia thought of two different ways to define this quantity. Identify these two definitions among the following options.
% of students in sports club divided by SAT average
the number of sports medals won divided by SAT average
To determine which school has higher athletic achievements relative to the SAT average, according to the two definitions will be that Did you get the same result for both definitions?
No. The definitions have opposite results.
Learn more about budget on:
https://brainly.com/question/6663636
#SPJ1
Analia wants to know which school has higher athletic achievements relative to the SAT average. 1) Analia thought of two different ways to define this quantity. Identify these two definitions among the following options. Choose 2 answers: Choose 2 answers: (Choice A) A % of students in sports club divided by SAT average (Choice B) B Graduation rate divided by SAT average (Choice C) C Number of sports medals won (Choice D) D Number of sports medals won divided by SAT average 2) Determine which school has higher athletic achievements relative to the SAT average, according to the two definitions. Did you get the same result for both definitions? Choose 1 answer: Choose 1 answer: (Choice A) A Yes. According to both definitions, School A has higher athletic achievements relative to the SAT average. (Choice B) B Yes. According to both definitions, School B has higher athletic achievements relative to the SAT average. (Choice C) C No. The definitions have opposite results.
The height h in feet that a pole vaulter can reach can be estimated using the formula hu, where v is the velocity of the athlete in feet per
second.
If the height for a women's pole vault is about 9.8 feet, about how fast was the holder running? How far will the pole vaulter run in 2 seconds?
eet
feet per second
Using the numeric value of functions, it is found that:
The holder was running at a rate of 25 feet per second.The pole vaulter will run 50 feet in 2 seconds.How to find the numeric value of a function/expression?To find the numeric value of a function, we replace each instance of the variable by the desired value.
The formula for the velocity is given as follows:
[tex]v = 8\sqrt{h}[/tex]
In which h is the height.
For this problem, we have that the height is of h = 9.8, hence:
v = 8sqrt(9.8) = 25 feet per second.
The holder was running at a rate of 25 feet per second.
Then, in two seconds, the distance is given as follows:
d = 25 x 2 = 50 feet.
The pole vaulter will run 50 feet in 2 seconds.
More can be learned about the numeric values of a function at brainly.com/question/28367050
#SPJ1
What is the degree of the polynomial? 10x4-11x2 +6
Answer:
is it is 10^4 - 11^2 + 6 then the answer will be 4
Step-by-step explanation:
16.468>16.4 or < or =
Answer:
The answer is not that clear: But for 16.4 it isn't correct because you need to round it from 16.468 to 16.5. so therefore the answer is <
Determine f(x+a)−f(x) for the following function.
f(x)=x−9‾‾‾‾‾√+6
The value of the function f(x + a) - f(x) is √(x + a - 9) - √(x - 9)
How to evaluate the function value?The function definition is given as
f(x) = √(x - 9) + 6
We start by calculating the function f(x + a)
So, we have
f(x + a) = √(x + a - 9) + 6
The function definition f(x + a) - f(x) is calculated as
f(x + a) - f(x) = √(x + a - 9) + 6 - (√(x - 9) + 6)
Open the bracket
So, we have
f(x + a) - f(x) = √(x + a - 9) + 6 - √(x - 9) - 6
Evaluate the difference
So, we have
f(x + a) - f(x) = √(x + a - 9) - √(x - 9)
Hence, the value of the function f(x + a) - f(x) is √(x + a - 9) - √(x - 9)
Read more about functions at
https://brainly.com/question/1415456
#SPJ1
PLEASE HELP BEEN STUCK ON THIS FORVER! AND ITS DUE SOON!
FIND THE 100TH LINE SEGMENT
CUBE #1 HAS 4 LINES
CUBE #2 HAS 12
CUBE #3 HAS 24
WHATS THE 100TH LINE SEGMENT USING NTH TERM.
PICTURE BELOW!
The 100th line segment by using the nth term of a sequence is equal to 20200.
What is a sequence?A sequence can be defined as a series of real and natural numbers in which each term or list of elements are ordered in a particular order and repetitions are allowed.
Next, we would determine the differences between the terms in this sequence until all the differences are the same:
12 - 4 = 8
24 - 12 = 12
40 - 24 = 16
12 - 8 = 4
16 - 12 = 4
Since the differences are the same, the sequence is a quadratic function and it contains an n² term. Also, the coefficient of n² is one-half of the equal difference. This ultimately implies that, the coefficient of n² is equal to 2.
In order to determine the nth term of this sequence, we would develop a table to model increment:
n 1 2 3 4
2n² 2 8 18 32
Operation +2 +4 +6 +8
Sequence 4 12 24 40
By critically observing the table above, we can logically deduce that the nth term of this sequence is given by:
aₙ = 2n² + 2n
a₁₀₀ = 2(100)² + 2(100)
a₁₀₀ = 2(10000) + 2(100)
a₁₀₀ = 20000 + 200
a₁₀₀ = 20200.
Read more on sequence here: brainly.com/question/24989563
#SPJ1
please factor and show work
Answer:
[tex]2a^2b*(3a^2-5ab-3b^2)[/tex]
Step-by-step explanation:
Attempt factorization by grouping
(((6•(a^4))•b)-((10•(a^3))•(b^2)))-((2•3a^2)•b^3)
(((6•(a^4))•b)-((2•5a^3)•b^2))-(2•3a^2b^3)
(((2•3a^4) • b) - (2•5a^3b^2)) - (2•3a^2b^3)
6a^4b - 10a^3b^2 - 6a^2b^3 = 2a^2b • (3a^2 - 5ab - 3b^2)
Pull out the leading term and put it with the original equation
= 2a^2b • (3a^2 - 5ab - 3b^2)
This would be one of the quicker ways to factor this equation.
Hope this helps.
Please help me asap!!! I need 3,5,7,9,10 first correct answer gets a crown and max points!!!
Answer:
3. 7
5. 8
7. 15
9. 6
10. 1
Step-by-step explanation:
At a clothing store Kayla finds to sweaters she likes she wants to know if she has enough for both sweaters since $34.95 is about 35 she add $20.75 and 35 mentally and gets $55.75. How should Kayla compensate to go the exact sum of the two prices
In order to be able to compensate to get the exact sum of the two prices, Kayla should subtract $0.05 from $55.75.
How to get the exact sum?In order to be able to get the price of $55.75, Kayla rounded $34.95 up to $35 and then added $20.75.
To compensate for the rounding up and then get the exact sum of the prices of the sweaters, Kayla should subtract the difference between the $35 and the $34.95.
That difference is:
= 35 - 34.95
= $0.05
In conclusion, Kayla should subtract $0.05 from $55.75 to get $55.70.
Find out more on the exact sum at https://brainly.com/question/20749674
#SPJ1
Last year, Singer A performed one more than five times as many shows during concert tours than Team B. The number of Singer A concert tour shows exceeded the number of shows by Team B by 73. How many concert shows did each perform?
Singer A
Singer B
The number of concert shows that singer A and singer B attended will be 41 and 18 shows respectively.
How to illustrate the information?Based on the information, the equation for last year will be:
A = 2B + 5
The number will be illustrated as:
A = B + 23
Therefore, it should be noted that we will equate the expression. This will be:
2B + 5 = B + 23.
Collect like terms
2B - B = 23 - 5
B = 18.
A = 23 + B = 23 + 18 = 41
Therefore, the number of concert shows that singer A and singer B attended will be 41 and 18 shows respectively.
Learn more about equations on:
brainly.com/question/18831322
#SPJ1
Last year, Singer A performed two times as many shows during concert tours than Team B. The number of Singer A concert tour shows exceeded the number of shows by Team B by 23. How many concert shows did each perform?
A restaurant chef made 1 1/8 pints of mushroom soup. Each bowl of soup holds 1/8 of a pint. How many bowls of soup will the chef be able to fill?
Write your answer as a fraction or as a whole or mixed number.
Answer:
9
Step-by-step explanation:
We can determine the number of bowls that can be made by dividing the size of the bowl by the amount of soup. 1 1/8 can be expressed as 8/8 + 1/8, or 9/8. (9/8)/(1/8) = 9. The chef can fill 9 bowls of soup.
Mushroom soup sounds pretty good right now ngl
Calculate the monthly finance charge for the credit card transaction. Assume that it takes 10 days for a payment to be received and recorded and that the month is 30 days long. (Round your answer to the nearest cent.)
The monthly finance charge for the credit card transaction is $51.70.
We need to calculate the monthly finance charge for the given credit card transaction.
What is a credit card transaction?Credit card transaction means the purchase of goods or obtaining of services or cash against the use of the Credit Card, the Card number or in any manner authorised by the Cardholder for debit to the Credit Card Account or utilising of any services made available to the Cardholder by the Bank from time to time in respect.
Given that, $3,000 balance, 21% rate, 150 payments, average daily method
The particular month in question is 30 days long.
Your balance at the start of the month is $3,000.
Annual interest rate = 21%.
Payment = $150.00
When the payment is made in the month, it reflects on the tax amount you pay on both the average daily balance.
The average daily balance is $3000 from day 1 until day 10 (10 days)
The average daily balance is $2850 from day 11 until day 30 (20 days)
Average daily balance for the month = 10 × 3000 + 20 × 2850
= 87000 / 30
= $2900
Interest charge for the month = (0.21 × 2900× 30) / 365
The interest charge for the month = $50.05 rounded to the nearest penny
The average daily balance is $3000 from day 1 until day 29 (29 days)
The average daily balance is $2850 from day 30 until day 30 (1 day)
Average daily balance for the month = 3000 × 29 + 1 × 2850
= 89850 / 30
= $2995
Interest charge for the month = (0.21 × 2995 × 30) / 365
=51.6945≈$51.70
Therefore, the monthly finance charge for the credit card transaction is $51.70.
To learn more about credit card transactions visit:
https://brainly.com/question/13606121.
#SPJ1
The Evans family paid $1,800 for a new refrigerator, washer, and dryer. The
refrigerator cost $250 more than the washer. The dryer cost half as much
as the washer. How much did the washer cost?
The cost of the washer based on the total cost of $1,800 of all three items is $442.86
How do represent the cost of the washer?
If we assume that the cost of the washer is x, based on that we can determine the cost of the refrigerator and the dryer while deriving from the cost of the washer as denoted below:
cost of washer=x
The cost of the refrigerator is $250 more than the cost of washer i.e. x+250
cost of dryer=0.5*x
cost of dryer=0.5x
total cost=x+x+250+0.5x
total cost=3.5x+250
total amount spent=1800
1800=3.5x+250
1800-250=3.5x
1550=3.5x
x=1550/3.5
x=$442.86
Find out more about total cost on:https://brainly.com/question/13941616?
#SPJ1
Ken and Sam received their monthly salary.
Ken received four times the amount of money Sam receives plus
$790 bonus because he is the hardworking one and he has
helped his boss signing a profitable deal.
Let K be the amount of money Ken received.
Write the expression that shows the amount of money Sam
received.
Answer: S = K/4 - 790
Step-by-step explanation:
the problem tells us Ken = Sam times 4 + 790.
So you need to reverse it (or solve for Ken to find Sam).
Ken/4 = Sam + 790
Ken/4-790 = Sam
Which of the following is a factor of 2x4 + 20x3 + 50x2?
2x3
x4
x + 4
x + 5
D. (x + 5)
We have to find the factor of this expression which matches to the options.
The shadow of a building is 30m long when the angle of elevation of the sun is 56°. Calculate the:
(a) height of the building
(b) length of shadow when the sun is at an angle of 32°.
Answer:
(a) height: 44.5 m
(b) shadow: 71.2 m
Step-by-step explanation:
You want building height and shadow length for angles of elevation 56° and 32°, given the shadow is 30 m when elevation is 56°.
Trig relationThe building height and shadow length are the sides opposite and adjacent (respectively) to the elevation angle in the right triangle that models the geometry. The trig function that relates these sides to the angle is the tangent function:
Tangent = Opposite/Adjacent
Application(a) building height
Using the tangent relation, we have ...
tan(56°) = (height)/(30 m)
height = (30 m)(tan(56°)) ≈ 44.4768 m
The height of the building is about 44.5 meters.
(b) shadow length
Using the same relation with the building height known, we have ...
tan(32°) = (44.4768 m)/(shadow)
shadow = (44.4768 m)/tan(32°) ≈ 71.1778 m
The length of the shadow at an angle of 32° is about 71.2 m.
Elise says, “if you subtract 11 from my number and multiply the difference by -4, the result is -48” What is Elise’s number?
umm I'm having difficulty in this question
its a indices question
Step-by-step explanation:
1. divide 10 with 5
2. using law indices, simplify the rest of the equation
3. you're done!
Answer: 5m³n³
Step-by-step explanation:
[tex]\frac{10m^5n^4}{2m^2n}[/tex] = [tex]\frac{5m^5n^4}{m^2n}[/tex]
= [tex]\frac{5m^3n^4}{n}[/tex]
= 5m³n³
or
[tex]10m^{5} n^{4}[/tex] ÷[tex]2m^{2}n[/tex] = [tex]5m^{5-2} n^{4-1}[/tex]
= [tex]5m^{3} n^{3}[/tex]
In a class of 23 learners, the girls were 7 more than the boys. How many boys were in the class
Answer:
8 boys.
Step-by-step explanation:
Lets say b is the number of boys and g is the number of girls.
We know that:
23 = b + g
g = b + 7
So then lets solve for b:
23 = b + g
23 = b + ( b + 7)
Simplify.
23 = 2b + 7
Subtract 7 from both sides to isolate the b.
16 = 2b
Divide both sides by 2.
8 = b
So there are 8 boys in the class.
We can check our work by substituting the value of b into our equation.
23 = b + ( b + 7)
23 = 8 + ( 8 + 7 )
23 = 8 + 15
23 = 23
So therefore our answer is correct.
what is
x-6=2x-10 in the question
Answer:
x = 4
Step-by-step explanation:
x - 6 = 2x - 10
-2x -2x
-x - 6 = -10
+6 +6
----------------
-x = -4
÷-1 ÷-1
------------
x = 4
I hope this helps!
There are 6 yellow balls and 9 green balls in a bag. If 3 balls are chosen one by one randomly from the bag without replacement, find the probabilities of the following events.
(a) The first ball chosen is yellow and the last two balls chosen are green.
(b) Only the first two balls chosen are of the same colour.
Answer:
The answer will be A.
MATHHHHHHHHHHHHHHHHHHHHHH
Answer:
n= -35 .................................
Solve the function.
f(x) = x² + 2x - 1
f(-3) = [?]
Answer:
2
Step-by-step explanation:
f(-3) represents f(x) evaluated at x=3.
[tex]f(-3)=(-3)^2+2(-3)-1 \\ \\ =9-6-1 \\ \\ =2[/tex]
Determine whether the equation below has one solutions, no solutions, or an infinite number of solutions. Afterwards, determine two values of x that support your conclusion.
5(x+2)=5x+10
find the measure of EF
Answer:
EF = 32
Step-by-step explanation:
since the base angles D and F are congruent then the triangle is isosceles with both legs congruent , that is
EF = DE = 32
Answer:
32 units
Step-by-step explanation:
It is an isosceles triangle so two sides will be the same length opposite the equal angles EF = 32
3 times (2x + 5) - 23 = 10
Answer:
x=3
Step-by-step explanation:
3 times (2x+5)-23=10 can be rewritten as 3(2x+5)-23=10
6x+15-23=10 ----> Use distributive Property
6x-8=10 ------------> Combine Like Terms
6x=18 -----------------> Use inverse operations; add 8 on both sides; simplify
x=3 ---------------------> Use inverse operations, divide by 3, simplify
Answer:
X=3!
Step-by-step explanation:
1) 6x - 8 = 10
2) + 8 +8
3) 6x = 18
Solution: X=3
Assuming a linear relationship, find the missing value in the table below.
Answer:
16
Step-by-step explanation:
4n -4 (pattern rule)
4x2 = 8-4 = 4
13. For Tom's birthday, he AND 5 friends went to the aquarium. If Tom uses his mom's credit
card and pays $11 for each ticket, what integer represents the amount of money Tom spent on
his mom's credit card.
A. - $66
B. $55
C. - $55
D. $66
Answer:
66
Step-by-step explanation:
he will pay 66 dollars
Find the y-coordinate of the midpoint for a line segment with endpoints at A (3 , -22) and B (8 , 4).
[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{3}~,~\stackrel{y_1}{-22})\qquad B(\stackrel{x_2}{8}~,~\stackrel{y_2}{4}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 8 +3}{2}~~~ ,~~~ \cfrac{ 4 -22}{2} \right) \implies \left(\cfrac{ 11 }{2}~~~ ,~~~ \cfrac{ -18 }{2} \right) \implies (5.5~~,~~\stackrel{\stackrel{y}{\downarrow }}{-9})[/tex]