Using compound interest and continuous compounding, it is found that Lincoln would have $15,856 more in his account than Eli.
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
In which:
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year.Hence, for Lincoln, we have that the parameters are as follows:
P = 49000, r = 0.06125, n = 365, t = 20.
Hence the amount will be of:
[tex]A_L(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]A_L(20) = 49000\left(1 + \frac{0.06125}{365}\right)^{365 \times 20}[/tex]
[tex]A_L(20) = 166787[/tex]
What is continuous compounding?The amount is given by:
[tex]A(t) = Pe^{rt}[/tex]
For Eli, we have that r = 0.05625, hence the amount will be given by:
[tex]A(t) = Pe^{rt}[/tex]
[tex]A_E(20) = 49000e^{0.05625 \times 20} = 150931[/tex]
What is the difference?It is given by:
[tex]D = A_L(20) - A_E(20) = 166787 - 150931 = 15856[/tex]
Lincoln would have $15,856 more in his account than Eli.
More can be learned about compound interest at https://brainly.com/question/25781328
If you are given the graph of h(x) = log6x, how could you graph m(x) = log6(X+3)?
O Translate each point of the graph of h(x) 3 units up.
O Translate each point of the graph of h(x) 3 units down.
O Translate each point of the graph of h(x) 3 units right.
O Translate each point of the graph of h(x) 3 units left.
Answer:
Translate each point of the graph of h(x) 3 units left.
Step-by-step explanation:
Translate each point of the graph of h(x) 3 units left.
you can use DESMOS
Answer:
(d) translate 3 units left
Step-by-step explanation:
The translation transformation m(x) = h(x -a) +b will translate the function h(x) right by 'a' units and up by 'b' units.
Here, you have a = -3 and b = 0. The graph of the function will be translated left 3 units.
What is the overlap of data set 1 and data set 2? high moderate low none
The overlap of data between both sets of data is low, hence the correct option is B. See below for more.
What is Data Overlap?From the information provided, we can tell that two of nine samples for both populations correspond.
This results in a data-sharing of around 22%. This reading cannot be categorized as 'medium' because there isn't a lot of matching data.
It also but it's also 'none' because there is a non-negligible match. Hence the correct answer is C - Low.
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In the equation g + h = -5 if g = 11 find the value of h.
I really need help, struggling. Question is in image.
Answer:
164
Step-by-step explanation:
Checkpoint 2= -187
Checkpoint 1= -23
The negatives mean how much lower they are from the surface.
To find "how much lower," we need to subtract -23 from -187.
-187-(-23) is the same as -187+23 (2 negatives=1 positive)
-187+23= -164.
However, it's not negative in the answer because by asking how much lower, we don't need to have a negative. "How much lower" is a distance, and a distance is always positive.
Find the measure of the angle in the rectangle in the picture below:
Answer:
72°
Step-by-step explanation:
Find the measures of the interior angles.
angle A:
°
angle B:
°
angle C:
°
Answer: search it up online
Step-by-step explanation: click new tab type it in and press search
Lucy’s age, x, 12 years from now, how old will Lucy be?
Answer:
x+12
Step-by-step explanation:
bc her age in twelve years is her age plus 12
If 65 is 20% of x, then x = ?
Step-by-step explanation:
65/x ×100 = 20
6500/20 = x
x = 325 Answer .. option (B)
[tex] \bold{ \underline{ \purple{Question}}}[/tex]
if 65 is 20% of X then x = ?
[tex] \bold{Given}[/tex]
65 is 20% of x[tex]\bold {\underline{SOLUTION}}[/tex]
65 / 20 = x
[tex] \displaystyle\frac{65}{20} \times 100[/tex]
[tex] \displaystyle \: \frac{65}{2 \cancel0} \times 10 \cancel0[/tex]
[tex] \displaystyle \frac{65 \times 10}{2} [/tex]
[tex] \displaystyle \frac{650}{2} [/tex]
[tex]\displaystyle \frac{ \cancel {650}}{ \cancel2} [/tex]
x= 325 Answer
hence option B is correct.
if 65 is 20% of X then x = 325
What is the formula for finding the slope of a line? Circle your choice.
Answer:
B
Step-by-step explanation:
to find the slope of a line you use slope intercept form
Option (b) is correct. The formula m = (y₂ - y₁)/(x₂ - x₁) is used to find the slope of the line.
What is slope of the line?In Mathematics, "a slope of a line is the change in y coordinate with respect to the change in x coordinate".
According to the question,
Equation of the line using slope intercept form is y = mx + c where 'x, y' are variable and 'm' is the slope of the line and 'c' is constant.
To find the slope of the line m = (y₂ - y₁)/(x₂ - x₁).
Hence, the option (B) m = (y₂ - y₁)/(x₂ - x₁) is correct.
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Simplify:
−
(
7
p
+
6
)
−
2
(
−
1
−
2
p
)
−(7p+6)−2(−1−2p
Answer:
−(7p+6)−2(−1−2p) = - 3p - 4
Step-by-step explanation:
−(7p+6)−2(−1−2p) = -7p - 6 + 2 + 4p
= (-7p + 4p) + (2 - 6)
= -(7p - 4p) - (6 - 2)
= - 3p - 4
help me please it urgent i have homework anyone there
Answer:
14.9g + 9.5c
Step-by-step explanation:
g stands for $ earned training & c stands for $ earned working with customers
Anthony trained for 8.5 hours so, 8.5 hours x g $ earned at training = 8.5g
He worked with customers for 4.3 hours, so 4.3 hours x c $ earned with customers = 4.3c
Anthony's total $ earned is 8.5g + 4.3c
Madison trained for 6.4 hours so, 6.4 hours x g $ earned at training = 6.4g
She worked with customers for 5.2 hours, so 5.2 x c $ eared with customers = 5.2c
Madison's total $ earned is 6.4g + 5.2c
Anthony 8.5g + 4.3c
Madison 6.4g + 5.2c
If you add both their $ earned training, you get 14.9g
If you add both their $ earned with customers, you get 9.5c
To total what they both earn it would be 14.9g + 9.5c
Find f(g(2)) simplify completely f(x)= 6x+9 g(x)=3x
Answer:
45
Explanation:
Given:
f(x)= 6x+9
g(x)=3x
Go from right to left in such function questions
⇒ f(g(2))
⇒ f(3(2))
⇒ f(6)
⇒ 6(6) +9
⇒ 36 + 9
⇒ 45
Answer:
f(g(2)) = 45
Step-by-step explanation:
f(x) = 6x + 9g(x) = 3xFinding g(2)
g(2) = 3(2)g(2) = 6Solving f(g(2))
f(g(2))f(6)f(6) = 6(6) + 9f(6) = 36 + 9f(6) = 45f(g(2)) = 45Task 3: Complete the table.
Answer:
Consumtion:
September:7535
October:16556
November:9616
December:13615
Tama po yan
Pa branlies naman po
HOPE IT HELPS ALOT
Select the correct answer from the drop-down menu. the sound level, , in decibels (db), of a sound with an intensity of i is calculated in relation to the threshold of human hearing, , by this equation. the threshold of human hearing is . the sound level of a jet plane is approximately 140 db. the intensity of the sound of a jet plane is approximately .
If the sound level of a jet plane is approximately 140 db, the intensity of the sound of a jet plane is approximate 100dB
Functions and valuesThe sound level of a jet plane is expressed according tothe expression given as:
β = 10log(I/I0)
Given the folowing parameters
β = 140dB
I0 = 10^-12 W/m²
Required
Intensity "I"
Substitute
140 =10log(I/10^-12)
14 = log(I/10^-12)
10^14 = I/10^-12
I = 10^14 * 10^-12
I = 10^2
I = 100dB
Hence if the sound level of a jet plane is approximately 140 db, the intensity of the sound of a jet plane is approximate 100dB
learn more intensity of sound here: https://brainly.com/question/9367064
Answer:
100
Step-by-step explanation:
Are the number of telephone numbers within a particular area code determined by permutations, combinations, both, or neither? Are there any restrictions? Explain your answer with details.
Answer:
Phone numbers are an example of permutations. In the United States, each phone number consists of ten digits, three for the area code and seven for the unique phone number. (There is also a "1" preceding each phone number to indicate that the first three digits are the area code.)
Step-by-step explanation:
Find the mean absolute deviation for the data set 5,6,6,8,10
Answer:
7
Step-by-step explanation:
hi , anyone can help?
Step-by-step explanation:
AS = Asri's height
AD = Adib's height
IR = Irfan's height
AS = 2x
AD = AS - 6 = 2x - 6
IR = 2 × AS = 2 × 2x = 4x
i)
IR = 4x
ii)
IR - AS = 4x - 2x = 2x
I will give brainliest if I get it right Lauren has 7 trophies and she wants to place 4 of the trophies on a shelf. How many possible arrangements of
the 4 trophies are there?
Using the permutation formula, it is found that there are 840 possible arrangements of the 4 trophies.
The problem says the word "arrangements", which implies that the order matters, hence the permutation formula is used to solve this question.
What is the permutation formula?The number of possible permutations of x elements from a set of n elements is given by:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this problem, 4 elements from a set of 7 are arranged, hence:
[tex]P_{7,4} = \frac{7!}{3!} = 840[/tex]
There are 840 possible arrangements of the 4 trophies.
More can be learned about the permutation formula at https://brainly.com/question/25925367
A City Council consists of nine men and six women. Three representatives are chosen at random to form a sub-committee. What is the probability one man and two women are chosen?
Answer:
0.2967 or 29.67%Step-by-step explanation:
Total number of people
9 + 6 = 15Combination of 3-people subcommitee without restrictions
15C3 = 15!/(15 - 3)!3! = 15!/12!3! = 15*14*13/2*3 = 455Combination of 3-people subcommitee with one man ad two women
9C1*6C2 = 9*6!/(6-2)!2! = 9*6!/4!2! = 9*6*5/2 = 135The probability of one man and two women are chosen
P = 135/455 = 0.2967 or 29.67%A cylinder has a volume of 400 cubic feet. If the height of the cylinder is 25 feet, what is the radius of the cylinder? Use 3.14 for π and round to the nearest hundredth.
Answer:
2.26 feet
Step-by-step explanation:
400/25=16
16/3.14=5.0955
5.0955^2=2.257
A bag has 3 balls: 1 orange (0), 1 green (G), and 1 blue (B). A coin has 2 sides:
heads (H) and tails (T).
You randomly pick a ball and toss a coin. What is the sample space?
Answer:
The sample space is
S= {BH,GH,YH,OH,BT,GT,YT,OT}
Step-by-step explanation:
The sample space refers to the set of all the possible outcomes.
The possible outcomes are:
Head and blue ball: BH
Head and green ball: GH
Head and yellow ball: YH
Head and orange ball: OH
Tail and blue ball: BT
Tail and green ball: GT
Tail and yellow ball: YT
Tail and orange ball: OT
The sample space is S= {BH,GH,YH,OH,BT,GT,YT,OT}
I need HELP asp please!!!!!!!
Answer:
[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
we've been given a rectangular prism and the question asks us to calculate its volume.
well that's kinda easy , so let's go ahead ~
height of prism = 2 inches
breadth of prism = 10 inches
length of prism = 13 inches
Now ,
[tex]Volume \: of \: prism = l \times b \times h \\ \implies \: 13 \times 10 \times 2 \\ \implies \: 260 \: inches {}^{3} [/tex]
therefore , the first option ( C ) is correct.
hope helpful :D
Answer:
Option C, [tex]260\ in^3[/tex]
Step-by-step explanation:
Step 1: Determine the volume of the prism
[tex]V = l * w * h[/tex]
[tex]V = 13\ in * 10\ in * 2\ in[/tex]
[tex]V = 260\ in^3[/tex]
Answer: Option C, [tex]260\ in^3[/tex]
The value of y varies directly with x. When y = 75, x = 1/2 What is the value of y when x = 18?
Answer: 2700
Step-by-step explanation:
Y = KX
75 = K × ½
75 ÷ ½ = K
75/1 × 2/1 = K
K is 150
Y = 150 × 18
Multiplying and factoring polynomial expressions (9th grade)
Answer:
1. 2(a^2 + 3a + 9)
2. 5(x^2 - 1)
3. 3(t + 8)(t - 2)
4. n(4 - n)
Step-by-step explanation:
For 1, you can only factor out the constant from each.
For 2, you can also only factor out the constant, but remember that you include the 1 when dividing 5 by 5.
For 3, you can factor out the constant and the variables.
For 4, you can only factor out the variable.
How to solve for “?”
With work please. I know the answer just not how to get it. Thanks!
Check the picture below.
At 6 o'clock in the morning the
temperature
was -5°C. By 4 o'clock in
the afternoon, the temperature was
16°C.
1. What was the change in
temperature?
Answer:
21 degrees
Step-by-step explanation:
Answer:
21°C
Step-by-step explanation:
If the temperature was -5° in the morning and 16° in the morning, then that means there was an increase in temperature. To find the exact change in temperature, we need to find what plus -5 would be equal to 16.
-5 + x = 16
-5+5 + x = 16+5
x = 21
From this, we can see that the change in temperature was 21°C.
hope this helps!
Jericho runs to get his ball. If he runs a distance of 8. 42 meters with a speed
of 2. 105 meter per second, how many seconds did he run?
Answer:
4 seconds
Step-by-step explanation:
The relation between time, speed, and distance is ...
time = distance/speed
__
The given measures indicate a time of ...
time = (8.42 m)/(2.105 m/s) = 4.00 s
Jericho ran for 4 seconds.
Annual snowfall (in inches):
20, 16, 20, 17.5, 19.5, 18, 23
Mean =
Median =
What is the mean and the median?
Answer:
Mean (Average) 19.142857142857
Median 19.5
Step-by-step explanation:
please give brainliest or at least 5 stars
Solve for x. Please Help!
Answer:
x = 6
Step-by-step explanation:
If 2 chords intersect then the product of the parts of one chord is equal to the product of the parts of the other chord , that is
4x = 2 × 12 = 24 ( divide both sides by 4 )
x = 6
negative 4 minus 6 is less than 50
Answer:
your question is not quite clear.
are you trying to ask ask this " Are negative 4 minus 6 less than 50 ?
if so then it can also be translated mathematically as " - 4 - 6 = 50
then the answer is YES.
Step-by-step explanation:
because - 4 - 6 is -10
- 10 is less than 50
Because in the number line
e.g -10, -9, -8 , -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, and so on...
you can see that -10 is way lesser than 50.
but if this isn't the answer you're looking for, I think you should please make the question clearer, thanks.
Hope this helps .