After 20 years, Julia would have approximately $155 more in her account than Bentley.
To calculate the final amount for each investment, we use the formula for compound interest:
Final Amount = Principal * (1 + (Interest Rate / Number of Compounding Periods))^(Number of Compounding Periods * Number of Years)
For Bentley's investment:
Principal = $750
Interest Rate = 1 1/4% = 1.25%
Number of Compounding Periods = 365 (compounded daily)
Number of Years = 20
Calculating the final amount for Bentley's investment:
Final Amount (Bentley) = $750 * (1 + (1.25% / 365))^(365 * 20)
For Julia's investment:
Principal = $750
Interest Rate = 1 3/4% = 1.75%
Number of Compounding Periods = 4 (compounded quarterly)
Number of Years = 20
Calculating the final amount for Julia's investment:
Final Amount (Julia) = $750 * (1 + (1.75% / 4))^(4 * 20)
Subtracting Bentley's final amount from Julia's final amount:
Difference = Final Amount (Julia) - Final Amount (Bentley)
After performing the calculations, we find that the difference is approximately $155.
Therefore, after 20 years, Julia would have approximately $155 more in her account than Bentley, rounded to the nearest dollar.
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Julia would have $757.96 more in her account than Bentley after 20 years (rounded to the nearest dollar).
Given, Bentley invested $750 in an account paying an interest rate of 1 1/4% compounded daily.
Julia invested $750 in an account paying an interest rate of 1 3/4% compounded quarterly.Both Bentley and Julia invested $750 each but the interest rates are different.
Bentley's account pays an interest rate of 1 1/4% compounded daily and Julia's account pays an interest rate of 1 3/4% compounded quarterly.
Now, Let's calculate the amount in Bentley's account first. The amount is given by the formula below,
Amount = P(1 + (r / n))^(nt),
where P is the principal amount, r is the annual interest rate, t is the time the money is invested for, n is the number of times that interest is compounded per year, and A is the amount at the end of the investment.
Here, we are given, P = $750, r = 1.25%
= 1.25 / 100
= 0.0125 (as the rate is in percentage we need to convert it into decimal), n = 365 (compounded daily), t = 20 years
Amount = 750(1 + (0.0125 / 365))^(365 × 20)
Amount = 750(1 + 0.000034)^(7300)
Amount = 750 × 1.2774
Amount = $957.64
Therefore, Bentley will have $957.64 in his account after 20 years.
Now, let's calculate the amount in Julia's account.
The amount is given by the formula below, Amount = P(1 + (r / n))^(nt),
where P is the principal amount, r is the annual interest rate, t is the time the money is invested for, n is the number of times that interest is compounded per year, and A is the amount at the end of the investment.
Here, we are given, P = $750, r = 1.75%
= 1.75 / 100
= 0.0175 (as the rate is in percentage we need to convert it into decimal), n = 4 (compounded quarterly), t = 20 years
Amount = 750(1 + (0.0175 / 4))^(4 × 20)
Amount = 750(1 + 0.004375)^(80)
Amount = 750 × 2.2781
Amount = $1715.60
Therefore, Julia will have $1715.60 in her account after 20 years.Now, to find out how much more money Julia would have in her account than Bentley, we need to subtract the amount in Bentley's account from the amount in Julia's account.
Difference = Julia's amount - Bentley's amount
Difference = $1715.60 - $957.64
Difference = $757.96
Therefore, Julia would have $757.96 more in her account than Bentley after 20 years (rounded to the nearest dollar).
Hence, the required answer is $757.
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Pa help po plss...
sa math po
Answer:
ok OK OK OK OK OK OK OK OK OK OK OK
Marco paid $12 for 3jump ropes. If each jump rope costs the same amount, how much does 1 jump rope cost? Write and solve an equation.
Answer:
each jump rope costs 4 dollars
12÷3=4
Answer:
$4
Step-by-step explanation:
Divide: 12 divided by 3=4
Hope this helped!! :)
Stay safe and have a wonderful day/night!!!!!
Brainliest?!?!
what is the least common multiple (LCM) of 7 and 8 plz help
Answer:
56
Step-by-step explanation:
trust me!!
Answer:
The LCM of 7 and 8 is 56
Step-by-step explanation:
solve by substitution
1. 6x+ 5y=7 x-y=3
2. 3a +2b =4 2a + b=6
3. 2x + y= 4 4x -y=2
Answer:
1. y = 11
x = -48
2. a =8
b= -10
3. x= 1
y= 2
Step-by-step explanation:
1 . 6x + 5y = 7
x-y= 3
6x+5y = 7
6x-6y =18
-1y = - 11
6x + 5y = 7
y = 11
6x + 55 = 7
6x = -48
x = -48
he airplane Li’s family will be flying on can seat up to 149 passengers. If 96 passengers are currently on the plane, which inequality can be used to determine how many more people can board?
96 + x Less-than-or-equal-to 149
96 + x Greater-than-or-equal-to 149
96 + x > 149
96 + x < 149
This is the same as saying "96 + x less than or equal to 149"
====================================================
Explanation:
We start with 96 people already on board. We add on x more people. The x is a placeholder for a positive whole number.
In total, we have 96+x people on the plane. This total must not exceed the max capacity of 149. In other words, the largest value of 96+x is 149.
Since 96+x can be 149 or smaller, we can say 96+x ≤ 149
Answer:
The answer is A
Step-by-step explanation:
I got it right on edge
can someone help me how to calculate 15% of R200
Answer:
30
Step-by-step explanation:
formula :15÷100×200
decide whether -3/12 terminates or repeats when expressed as a decimal
Answer:
Termintates
Step-by-step explanation:
It simplified is -.25, which, is a terminated decimal and does not repeat and go on
Answer:
Terminates
Step-by-step explanation:
first the signs don't matter, just remember to put it back at the end
try dividing it:
3 / 12 = 0 with 30 tenths left over
30 / 12 = 2 with 60 hundreths left over
60 / 12 = 5 with 0 thousandths left over
no more remainders so it terminates
3 Each expression below shows the length and width of
a rectangle in yards. Write each expression in the
correct box according to the area it represents.
Answer:
less than 1yd²:
2/3x3/5= 2/5
1/4x5/3= 5/12
1/2x9/10= 9/20
equal to 1yd²
1/4x4/1= 1
4/3x6/8= 1
more than 1yd²
2/3x5/3= 1.1
Step-by-step explanation:
2/3x3/5= 2/5
1/4x4/1= 1
2/3x5/3= 1.1
1/4x5/3= 5/12
1/2x9/10= 9/20
4/3x6/8= 1
Answer:
2..........3
--- x ---
3............5
Step-by-step explanation:
goes to area less than 1square yard
how many 1/5s are in 20?
Answer:
There are 4
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
Find the equation of the line that has a y-intercept of 1 and is perpendicular to the graph of the line 2x + y = 4.
Answer:
y = 1/2x + 1
Step-by-step explanation:
To be perpendicular to a line is to have the product of the slopes be -1. First, we have to put 2x + y = 4 into slope-intercept form to find the slope of the line. We do this by subtracting 2x on both sides to get that y = -2x + 4. Now, the number that multiplied by -2 is equal to -1 is 1/2, so that is the slope of our line. We can substitute these values into the slope-point equation to find the equation. We would get that y - 1 = 1/2 * (x - 0). This simplifies to y = 1/2x + 1.
Keith has $500 in a savings account at the beginning of the summer. He wants to have at least $200 in the account by the end of the summer. He withdraws $35 each week for food, clothes and movie tickets. How many weeks can Keith withdraw money from his account?
5/x=-9
find the variable
Answer:
x = -5/9
Step-by-step explanation:
5/x = -9
multiply by x on both sides
5 = -9/x
multiply by 1/-9 on both sides
-1/9*5 = -1/9 *-9/x
-5/9 = x
A jungle has 578 monkeys.
It also has 153 birds.
How many more monkeys than birds are there?
Monkeys
X Х $ ?
Answer:
425 monkeys
Step-by-step explanation:
Subtract the number of birds from the number of monkeys to find the difference between the two.
simplify the expression. 7x^2+3-5(x^2-4) edguneity
Answer:
2x^2+23.
Step-by-step explanation:
Combine like terms.
This expression simplified is 2x^2+23.
Hangi sayının 10 eksiğinin 7 katı 70'tir ?
GIVING BRAINLIEST IM TIMEDDDD
Answer:its the 2nd one
Step-by-step explanation: i remeber because i took this quiz
WILL MARK BRAINLIEST! Which statement is true about the data set?
The stem-and-leaf plot below shows the number of pages each student in a class read the previous evening. (see attached)
Which statement is true about the data set?
A) Its median is greater than its mode.
B) It has a range of 52 pages.
C) The value of the first quartile is 13.
D) The data is symmetric.
Answer:
A I think
Step-by-step explanation:
6x² + 4x / 6x² + 13x + 6 ( please show work )
Answer: 6x+4x +13x+6 equal
Fallon collected data for her favorite TV show. She recorded the number of viewers and the number of weeks since the show premiered. With the data in hand, she created this scatter plot and drew a line of best fit
What are the slope and the y-intercept of the line of best fit?
Answer:
On the best-fit line for the points {(2,3) (5,7) (1,2) (4,8)}, one point is (0.5,1.25) and another is the y-intercept (0,0.5). Use the formula for the slope of a line, m = (y2 - y1)/(x2 - x1), to find the slope
Step-by-step explanation:
Hope it help
Mark me as brainliest
Answer:
Slope is (6, 10) and (0, 12). The y-intercept is 12.
Step-by-step explanation:
I had this question on Edmentum.
The number of different types of drinks that a barista makes in one week is related to the cost of the drink. A collection of data on the cost of
a particular drink and the number of that drink made over the course of the week is shown in the table below, where x represents the cost of
the drink in dollars, and y represents the number of drinks made at each cost.
X
у
97
84
1.85
2.10
2.45
3.25
66
70
3.50
65
58
3.65
4.15
51
4.45
40
44
4.70
5.10
27
Using a residual plot determine if the following model is a good fit for the data.
y = -11.52 + 120.45
ОА No. The model is not a good fit because the residual plot has a random pattern,
ОВ. No. The model is not a good fit because the residual plot does not have a random pattern
OcYes. The model is a good fit because the residual plot has a random pattern.
OD Yes. The model is a good fit because the residual plot does not have a random pattern.
Reset
Next
Answer:
Step-by-step explanation:
b
Answer:
it's C bro i just took it
marianne is a five years younger than her friends if the sum of their age is 61 how old is her friend
Step-by-step explanation:
let marianne friend age be x and
marianne age be x - 5
if the sum of their age is 61 I.e
x + (x- 5) = 61
x + x - 5 = 61
2x =61 +5
2x = 66
divide both sides by 2
x = 33
so marianne friend age is 33 and
and marrianne age is 33-5 = 28.
Find the area of the shaded segment of the circle
Answer:
≈ 0.8 m²
Step-by-step explanation:
________________________________________________
FORMULA FOR FINDING AREA OF SEGMENT :-
[tex]A = r^{2} [\frac{\alpha }{360} \times \pi - (\sin \frac{\alpha }{2} \times \cos \frac{\alpha }{2} )][/tex]
Where :-
A = Area of the segmentr = Radius of the circleα (alpha) = Angle subtended by arc at the center________________________________________________
Angle subtended by the minor arc at the center = 360° - 300° = 60°
Radius of the circle = 3 m
Area of the segment =
[tex]3^{2} [ \frac{60}{360} \times \pi - (\sin \frac{60}{2} \times \cos \frac{60}{2})][/tex]
[tex]= 9[\frac{1}{6} \times \pi - (\sin 30 \times \cos 30)][/tex]
[tex]= 9[\frac{\pi }{6} - (\frac{1}{2} \times \frac{\sqrt{3} }{2} )][/tex]
[tex]= 9[\frac{\pi }{6} - \frac{\sqrt{3} }{4} ][/tex]
[tex]= 9[\frac{2\pi - 3\sqrt{3} }{12} ][/tex]
[tex]= \frac{9}{12} \times (2\pi - 3\sqrt{3})[/tex]
( Assuming √3 = 1.73 & π = 3.14 )
[tex]= \frac{3}{4} \times (6.28 - 5.19)[/tex]
[tex]= 0.75 \times 1.09[/tex]
[tex]= 0.8175[/tex]
∴ Area of the segment ≈ 0.8 m² (rounding to the nearest tenth)
y= 2/3x+7
x= -4
PLS HELP ASAP
Answer:
the slope will be
−
2
3
and the
y
-intercept will be
7
.
Step-by-step explanation:
I need help on this question
Answer:
The square on the outside of the triangles means the angle is 90. You need to find the base and the hight the divide by 2
Step-by-step explanation:
You have 49 dimes and quarters. You have 7 more quarters than dimes.How much money you have in quarters and dimes
Answer:
Step-by-step explanation:
Because you have seven more quarters than dimes, you have 28 quarters, and 21 dimes, which equals 49 dimes and quarters.
You have $9.10
I hope this helps!
Thanks!
will mark brainliest
(2x+1)+(3x-5)=5x-4 you just have to try some of them out and see which ones work
find x or solve for x
Answer:
[tex] \huge \boxed{ \boxed{x = 8}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:rectangleequationPEMDAStips and formulas:every angle of a rectangle is 90°let's solve:[tex]step - 1 : define \\ 12x - 6 = 90[/tex]
[tex]step - 2 : solve[/tex]
[tex] \tt add \: 6 \: to \: both \: sides : \\ \tt12x - 6 + 6 = 90 + 6 \\ \tt 12x = 96[/tex][tex] \tt divide \: both \: sides \: by \: 12 : \\ \tt \frac{12x}{12} = \frac{96}{12} \\ \tt \therefore x = 8[/tex]8n + ? = 0
A.) - 8/n
B.) 8/n
C.) 1/8n
D.)-8n
D is the correct answer:)
what is the factored form of 4(3x + 12) + 4?
Answer:
12x + 52
Step-by-step explanation:
Distribute.
(4 • 3x + 4 • 12) + 4
12x + 48 + 4
12x + 52
I need help with this, anyone nice enough to help? :’)
Answer:
7m³ - 11m² + 5m + 17
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
3m³ - 4m² + 8 - (-4m³ + 7m² - 5m - 9)
Step 2: Simplify
[Distributive Property] Distribute negative: 3m³ - 4m² + 8 + 4m³ - 7m² + 5m + 9Combine like terms (m³): 7m³ - 4m² + 8 - 7m² + 5m + 9Combine like terms (m²): 7m³ - 11m² + 8 + 5m + 9Combine like terms (Z): 7m³ - 11m² + 5m + 17