The amount Lucas would have in his account is $885,000.
The formula that would be used to determine the amount of money Lucas would be in 40 years is:
The formula for calculating future value = A x annuity factor
Annuity factor = {[(1+r)^n] - 1} / r
Where:
A = amount invested each year = $2000r = interest rate = 10%n = number of years = 40 years$2000 x [(1.1^40 - 1) / 0.1] = $885,000
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In a sequence of four numbers, the difference between each number is 7.
The sum of the four numbers is 6.
What are the numbers in the sequence?
You must show all your working.
Answer:
Step-by-step explanation:
Let x be the lowest number of the four
x + (x + 7) + (x + 14) + (x + 21) = 6
4x + 42 = 6
4x = -36
x = -9
-9 + 7 = - 2
-9 + 14 = 5
-9 + 21 = 12
-9. -2, 5, 12
HOW DO I FIND QR
PLEASE HELP
Solution: For finding QR we need to apply Pythagoras Theorem
What is Pythagoras Theorem ?
ans : Pythagoras Theorem is the sum of square of two sides which is equal to the third side or the hypotenuse. This formula is valid oy incase of Right-Angled Traingle because one of three angles here is 90°
According to this law let's apply it in the diagram shown here.
(Hypotenuse)² = (Adjacent)² + (Opposite)²(PR)² = (QR)² + (PQ)² (5x - 2)² = (QR)² + (3x - 1)² (QR)² = (5x - 2)² - (3x - 1)²After factorising both of them we get
(QR)² = 25x² - 20x + 4 - (9x² - 6x + 1)(QR)² = 25x² - 20x + 4 - 9x² + 6x - 1(QR)² = 16x² - 14x + 3QR = √(16x² - 14x + 3)So, QR is √(16x² - 14x + 3)
How do I find the percent of change
Answer:
200%
Step-by-step explanation:
It increases by 3 times. Because 100% increase is a 2x increase, 200% will be a 3x increase. Therefore, your answer is 200%.
Find the product -5.5(-1/5)?
a. -1.1
b. 2.75
c. 1.1
d. -0.275
Answer:
c. 1.1
Step-by-step explanation:
-5.5(-1/5) = 5.5/5 = 1.1
There are 4 rows of seats in each of first class and business class and there are 32 rows of seats in economy class. How many rows of seats are there on the planes?
Answer:
4 + 4 + 32 = 40 rows
Step-by-step explanation:
Theresa ran 7.56 miles this week. Write her distance as a mixed number and as an improper fraction.
Answer:
Mixed=7 14/25 improper=189/25
Step-by-step explanation:
Jersey Mike’s is offering $0.80 off its foot-long sub sandwiches. If this represents a 20% markdown, what is the sub’s regular selling price?
Consider function f.
Which graph represents function f?
A. W
B. X
C. Y
D. Z
Answer:
W
Step-by-step explanation:
I got a 100% on my test
Each element of X receives exactly one element of Y when a function from one set to the other is used. W graph illustrates the function f.
Explain about the function?
An expression, rule, or law in mathematics that establishes the relationship between an independent variable and a dependent variable (the dependent variable).
An example of a rule is a function, which yields one output from a single input. The picture was obtained from Alex Federspiel. The equation y=x2 serves as an example of this. There is only one output for y for every input for x. We would say that y is a function of x since x is the input value.
A function is a relationship between a collection of inputs and a set of potential outputs, where each input is connected to exactly one output, in accordance with a technical description.
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please help me with these questions I could truly appreciate it. No link please!
Explain why an exponential or logarithmic function would not be used to model the graph from question 1?
For Question 1, what is the y intercept and explain the meaning in the context of that problem?
Answer:
see below
Step-by-step explanation:
neither would be used because for an exponential, it would be a constant increasing or decreasing, and same thing for the logarithmic. This function has a consistent wave pattern.
1. 600, y intercept is when the study began
A graph can be modeled by several functions such as exponential function, logarithm functions, linear functions, quadratic functions, etc.
The graph is neither an exponential function, nor a logarithmic functionThe y-intercept is 600The function type
An exponential function and a logarithmic function would either increase through its interval or decrease through its interval.
These functions would not increase and then decrease or decrease and then increase at different intervals.
From the attached graph, we can see that the graph increases and decreases at several intervals.
Because of this changes in the graph behavior, the graph cannot represent an exponential function or a logarithmic function.
The y-intercept
The graph cross the y-axis at y = 600.
Hence, the y-intercept is 600
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9.
Use vertex form to write the equation of the parabola.
A. y = (x + 3)^2 - 3
B. y = 2(x - 3)^2 - 3
C. y = 2(x - 3)^2 + 3
D. y = 2(x + 3)^2 - 3
Answer:
Step-by-step explanation:
hmm
Mike can drive 345 miles on
15 gallons of gas. How many
miles per gallon does Mike
get?
Answer:
23
if you have 15 gallons of gas and it makes it 345 miles that is 345 divided by 15 which is 23 or 023
15x2 equals 30 34 - 30 equals 4 bring the 5 down you have 45 15x3 equals 45, 45 - 45 equals 0
what is the height of h of the triangle?
Answer:
4.23 feet
Step-by-step explanation:
We need to use the inverse sine function to solve for h. Since sine = opposite / hypotenuse, we can set up the equation like this: sin(30) = h / 25.5. To solve for h, isolate the h by multiplying both sides: h = 25.5 * sin(30). So the height of the triangle is approximately 4.23 feet.
Find the equation of this line.
y=3/4x+1/4
I hope this helped :)
Answer:
Step-by-step explanation:
two points on the line are (-3,-2) and (5,4)
slope=(4-(-2))/(5-(-3)=(4+2)/(5+3)=6/8=3/4
eq. of line is
y+2=3/4(x+3)
4y+8=3x+9
4y=3x+9-8
4y=3x+1
y=3/4 x+1/4
Hello, is there anyone here a pharmacy technician?
Waiting times to receive food after placing an order at the local Subway sandwich shop follow an exponential distribution with a mean of 66 seconds. Calculate the probability a customer waits:a. Less than 39 seconds.
Using the exponential distribution, it is found that there is a 0.4462 = 44.62% probability that a customer waits less than 39 seconds.
The exponential probability distribution, with mean m, is described by the following equation:
[tex]f(x) = \mu e^{-\mu x}[/tex]
In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.
The probability that x is lower or equal to a is given by:
[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]
Which has the following solution:
[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]
In this problem, mean of 66 seconds, hence, the decay parameter is:
[tex]\mu = \frac{1}{66}[/tex]
The probability that a customer waits less than 39 seconds is:
[tex]P(X \leq 39) = 1 - e^{-\frac{39}{66}} = 0.4462[/tex]
0.4462 = 44.62% probability that a customer waits less than 39 seconds.
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How many palindromes between 1000 and 9999 inclusive are divisible by 9?
Palindromes are numbers that remain the same, when reversed.
There are 10 palindromes divisible by 9 between 1000 and 9999
To do this, we list the numbers divisible by 9 between 10 and 99.
The numbers are:
[tex]\mathbf{A = 09,\ 18,\ 27,\ 36,\ 45.\ 54,\ 63,\ 72,\ 81,\ 90,\ 99}[/tex]
Flip these numbers
[tex]\mathbf{B =90,\ 81,\ 72,\ 63,\ 54.\ 45,\ 36,\ 27,\ 18,\ 09,\ 99}[/tex]
Combine corresponding numbers
[tex]\mathbf{AB =0990,\ 1881,\ 2772,\ 3663,\ 4554,\5445,\ 6336,\ 7227,\ 8118,\ 9009,\ 9999}[/tex]
Rewrite as:
[tex]\mathbf{AB =990,\ 1881,\ 2772,\ 3663,\ 4554,\5445,\ 6336,\ 7227,\ 8118,\ 9009,\ 9999}[/tex]
990 is less than 1000.
So, we have:
[tex]\mathbf{AB =1881,\ 2772,\ 3663,\ 4554,\5445,\ 6336,\ 7227,\ 8118,\ 9009,\ 9999}[/tex]
Count the numbers
[tex]\mathbf{n(AB) =10}[/tex]
Hence, there are 10 palindromes divisible by 9 between 1000 and 9999
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sarah had $40 at the beginning of the week. She babysat 3 days and by Saturday had $110. what is the percent increase
Answer:
175% increase
Step-by-step explanation:
help plsssssssssssss
Answer:
with what
Step-by-step explanation:
Answer:
help with? there's nothing there
A soap manufacturer advertises that it has increased the size of their bottle of dishwashing soap to 18.4 ounces, which is 5% more than the original size. What is the original size of the bottle?
Based on the information given the original size of the bottle is 17.5 ounces.
Using this formula
Original size of the bottle =New bottle size / Percentage increase
Where:
New bottle size=18.4 ounces
Percentage increase=(1+0.05)=1.05
Let plug in the formula
Original size of the bottle=18.4/(1+0.05)
Original size of the bottle=18.4/1.05
Original size of the bottle=17.5 ounces
Inconclusion the original size of the bottle is 17.5 ounces.
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Answer:
17.5
Step-by-step explanation:
i did the math and also im never wrong swear on got thats the annswer
15% of the town's population is over the age of 65. If there are 450 residents over the age of 65, what is the
town's total population?
Answer:
3000 residentsStep-by-step explanation:
Given:
15% of population = 450100% of population = xCross-multiply and solve for x:
x = 100*450/15 = 3000A car travels a constant speed of 45 km/h
3.4.1 The distance travelled in 6 hours?
3.4.2 The time it takes to travel 495 km?
Answer:
1 hour
Step-by-step explanation:
because i divided
A radio tower is located 425 feet from a building. From a window in the building, a person determines that the angle of elevation to the top of the tower is 30 ∘ ∘ and that the angle of depression to the bottom of the tower is 26 ∘
. How tall is the tower?
The height of the tower is 452.66 ft
The situation will form 2 right angle triangle. One above the line of sight
and one below the line of sight.
Therefore,
Using trigonometric ratio,
tan ∅ = opposite / adjacent side
tan 30° = h(top of the tower) / 425
h(top of the tower) = tan 30 × 425 = 245.373864406
tan 26° = h(bottom of the tower) / 425
h(bottom of the tower) = 425 × tan 26° = 207.28635014
Therefore,
Height of tower = h(top of the tower) + h(bottom of the tower)
Height of tower = 245.37 + 207.29 = 452.66 ft
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what is 433.54 in terms of pi?
Answer:
The angle value 433.54 π rad (pi radian) in words is "four hundred and thirty-three point five four π rad (pi radian)".
Step-by-step explanation:
got the information from the internet
What is the surface of this shape
Answer:
Find the area of all of the different shapes (2D)
and then add them up together to find the surface area.
3×2
6×2
6×2
5×3
6×3
1×3
1×4
1×4
4×3
Then you add them up together.
6+12+12+15+18+3+4+4+12=ANS.
click on the link i need help
Answer:
Uuuuh thats kind of suspicious, maybe you could post your question without a link? But links are usually scams, so dont do that :)
Can someone please help me
Answer:
Q14. Percentage decrease in price of TV
= (1100-1034)r1100×100%
= 66r1100×100%
= 6%
Q15. 450r9000 × 100% = 5% discount
Answer:
Q14 - 6% decrease
Q15 - 5% decrease
Step-by-step explanation:
how to get your answers;
subtract starting value with final value
divide the sum with the starting value
multiply by 100 and round if needed
hope that helps. ♥️
Hemp help help help help help math math math
Answer:
x=25
Step-by-step explanation:
5x-5+ 2x+10 =180
2x-5x = 10+5
3x= 15
x=5
5(5)-5+ 2(5) +10 =180
If z=15, what would the expression z2 – 2z + 15 be equal to?
A 205
B 210
C 215
D
220
if 5c-2=3c, then 24c=
Answer:
24
Step-by-step explanation:
Step-by-step explanation:
24 is 3×8
so, when
3c = 5c-2
then
8×3c = 24c = 8×(5c-2) = 40c - 16
For every 3 minutes that Ginny plays on the computer, she plays outside for 10 minutes. What is the ratio of minutes Ginny plays on the computer to minutes she plays outside?
Three to Ten 3:10
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