Answer:
$0 differenceStep-by-step explanation:
DavidPrincipal P = $350Interest rate r = 3% = 0.03 PA compoundedCompound number = continuousTime t = 5 yearsTotal in account after 5 years:
[tex]A=Pe^{rt}=350*e^{0.03*5} = 406.64[/tex]JackPrincipal P = $350Interest rate r = 3% = 0.03 PA compoundedCompound number n = 4Time t = 5 yearsTotal in account after 5 years:
[tex]A = P(1+r/n)^{nt}=350(1+0.03/4)^{4*5}=406.41[/tex]The difference in totals:
$406.64 - $406.41 = $0.23 ≈ $0 rounded to the nearest dollarAfter 5 years Jack will have $0.66 more money in his account than David.
What is a compound interest?This is a type of interest that is compounded after time period it is said to be compounded. After that particular period, the interest is calculated and then added with the principle. For the next duration, the interest is calculated on the sum.
Here, to find the amount of money after n years, we need to use the formula S = P(1 + r)ⁿ.
For David, S = sum of money after the total period of investment.
P = Principle = $350, r = rate of interest = 3% compounded annually, n = time period = 5 years.
Now, S = $350(1 + 3/100)⁵ = $350(1 + 0.03)⁵ = $350(1.03)⁵ = $405.75
Hence, after 5 years, David will have $405.75 in his bank account.
For Jack, S = sum of money after the total period of investment.
P = Principle = $350, r = rate of interest = 3% compounded quarterly, n = time period = 5 years.
Now, S = $350(1 + 3/ 4× 100)⁵ˣ⁴ = $350(1 + 0.0075)²⁰ = $350(1.0075)²⁰ = $406.41.
Hence, after 5 years, Jack will have $406.41 in his bank account.
Therefore, Jack will have $(406.41 - 405.75) = $0.66 more money than David.
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Sienna has $40 to spend at the pumpkin patch each pony ride is $6
Answer:
There is no direct question on here so I'll just assume you're asking how many rides she can get on???
Step-by-step explanation:
6 x 1 = 6
6 x 2 = 12
6 x 3 = 18
6 x 4 = 24
6 x 5 = 30
6 x 6 = 36
6 x 7 = 42
So she can get on about 6 rides (once again, if thats what ur trying to ask..)
9. The endpoints of a diameter of a circle are A (2,1) and B(5,5). Find the area of the circle in terms of . (1 point)
25
O
IT square units
O 10 square units
O 255 square units
O 57 square units
Answer:
Area of the circle is 6.25π sq.unit
Step-by-step explanation:
The centre of the circle is at the mid point of a diameter. Th mid point of the diameter is at (5+22,5+12)or(72,3),which is centre. Radius is the distance from end point (5,5)to centre (72,3)∴r=√(5−72)2+(5−3)2=√1.52+4=√6.25=2.5∴
Area of the circle is Ac=π⋅r2=π⋅2.52=6.25π sq.unit[Ans]
The Area of Circle whose endpoints of a diameter of a circle are A (2,1) and B(5,5) is 6.25 sq unit.
What is Distance Formula?If there are two points in the coordinates plane as P(a, b) and Q(c, d) then the distance between these two points are
PQ = √(c- a)² + (d-b)²
We have the endpoints of a diameter of a circle are A (2,1) and B(5,5).
Now, using Distance Formula
d= √{(x2 - x1)² + (y2 - y1)²}
Here, x1 = 2; y1 = 1; x2 = 5; y2 = 5
d = √{(5 - 2)² + (5 - 1)²}
d = √{(3)² + (4)²}
d = √{9 + 16}
d = √25
d = 5 unit
Now, Area of Circle
= πr²
= 3.14 x 2.5 x 2.5
= 6.25π sq units
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DONT ANSWER THIS QUESTION OR ELSE
Answer:
or else what?..... ......
The ages of three brothers are consecutive, even integers. If the sum of the first even integer, three times the second even integer and twice the third even integer is fifty. Find the ages of all three brothers
Answer:
The ages of all three brothers are 4,6,8 years.
Step-by-step explanation:
Here n is the smallest of the three consecutive even integers, the condition gives you this equation
2n + 3*(n+2) + (n+4) = 34.
2n + 3n + 6 + n + 4 = 34
6n = 24
n = 4.
Answer. The ages are 4, 6 and 8 years.
Hope this helps you.
The ages of the three brothers are 6, 8, and 10 years, respectively.
How to determine ages of the three brothersLet the ages of the three brothers be \(x\), \(x+2\), and \(x+4\).
The sum of the first even integer, three times the second even integer, and twice the third even integer is fifty:
\[x + 3(x+2) + 2(x+4) = 50\]
Simplify the equation:
\[x + 3x + 6 + 2x + 8 = 50\]
Combine like terms:
\[6x + 14 = 50\]
Subtract 14 from both sides:
\[6x = 36\]
Divide by 6:
\[x = 6\]
So, the ages of the three brothers are 6, 8, and 10 years, respectively.
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find the slope of (-1,3) and (-5,7)
Answer:
-4/4 = -1
Step-by-step explanation:
yeah-ya...... right?
the price of a stock was $52.63 when the stock market opened.it rose to $61.50 when the stock market closed.Find the percent of change of the stock price during the day
Answer:
3 and t pies holnden farmall travtor
HELPPPPPPP PLSSS!!!!!!!!!!!!!!!!!!!
Which statement de ribes the system of equations?
[x+2y = 2
[x-2y=-2
Answer:
x+2y=2 x-2y=-2. It has infinitely many solutions. It has no solution. It has one solution
help please
c. s + 19 = 26
d. m - 40 = 20
e. z + 100 = 100
f. x + 22 = 23
g. s - 4 = 96
h. 1/4x = 4
i. 24x = 3
j. 1/10x = 50
k. 1/11y = 33
l. t + 14 = 16
m. t - 1 = 16
n. 1/2q = 8
o. 15t = 24
Answer:
s=7
m=60
z=0
x=1
s=100
h.x=1/16
i.x=8
j.x=1/500
k.y=1/363
l.t=2
m.t=17
n.q=1/16
o.t=8/5
Step-by-step explanation:
give me branlist please
Please help! ASAP :)
Please hurry
If you apply the changes below to the cubic parent function, Fx) = x2, what is
the equation of the new function?
• Reflect across the y-axis.
Vertically compress by multiplying by : 1/4
9514 1404 393
Answer:
D. J(x) = 1/4(-x)^3
Step-by-step explanation:
Reflection across the y-axis replaces x with -x. Then if Fr(x) represents the reflected function, we have ...
Fr(x) = (-x)^3.
Compression by a factor of c < 1 multiplies the function value by c. Then ...
J(x) = 1/4·Fr(x)
J(x) = (1/4)(-x)^3
Is the problem situation a function? Explain your answer.
Answer:
where is the problem at
Step-by-step explanation:
can someone help me with this quickly please
Plug in -3 for f(x) into the first equation.
-3 = x^2 - 5x + 3
x^2 - 5x + 6 = 0
Factor!
(x - 3)(x - 2) = 0
Set each binomial equal to 0 to get the x-value of the point.
x = 3
x = 2
Plug each x-value back into the first equation (the answer should be -3, though it's always good to check) to get the y-value.
(3)^2 - 5(3) + 3
9 - 15 + 3
-6 + 3
-3
(2)^2 - 5(2) + 3
4 - 10 + 3
-6 + 3
-3
Ordered pairs of the solutions for this system of equations: (2, -3) and (3, -3)
Hope this helps!! :)
Jessica purchased a DVD that was on sale for 12% off. The sales tax in her county is 3%. Let y represent the original price of the DVD. Write an expression that can be used to determine the final cost of the DVD.
Answer:
is it y=12x+3
Step-by-step explanation:
x=DVD. DVD =12
The expression that represents the final price of the DVD is 0.9064y
How to determine the final cost?The given parameters are:
Discount = 12%Sales tax = 3%Original price = yThe final cost is calculated using:
Final = Original price * (1 - discount) * (1 + sales tax)
So, we have:
Final = y * (1 - 12%) * (1 + 3%)
Evaluate the expression
Final = 0.9064y
Hence, the expression that represents the final price of the DVD is 0.9064y
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3√−50
Enter your answer, in simplest radical form
Undefined
Step-by-step explanation:[tex] \sf 3 \sqrt{ - 50} [/tex]
= The square root of negative numbers does not exist in the set of Real Numbers.
= Undefined
Conclusion:The square root of negative numbers does not exist in the set of Real Numbers then Undefined.
Answer:
15√2
Step-by-step explanation:
2. $12.00 for 6 ounces of soda
Answer:
The answer is $2.00 per ounce of soda.
Step-by-step explanation:
Hope this helps!
Answer:
$2.00 per ounce of soda. please mark me brainliest :)
Step-by-step explanation:
At the close of one business day, TNT stock was trading at $40 per share. At the close of the next business day, the stock was trading at $43 per shape. Find the percent of the increase
Answer: 7.5% increase by the end of the day.
Step-by-step explanation:
new - original = #
# / original = decimal
decimal x 100 = percent.
Joel has just moved to a new town and wants to share plates of baked goods with his
neighbors. He has 20 cookies and 5 brownies to share and wants to split them equally
among the plates with no food left over. What is the greatest number of plates he can make to share
Answer:
Marta can arrange a maximum of 3 plates.
Solution:
Given, Marta has just moved to a new town and wants to share plates of baked goods with her neighbors.
She has 18 cookies and 15 brownies to share, and wants to split them equally among the plates with no food left over.
We have to find what is the greatest number of plates she can make to share?
Now, let the number of brownies per each plate be n.
Then, number of plates used =
Here, n is number of brownies per plate and is number of cookies per plate.
So, both n and should be whole numbers. Then, for to be whole number 6n must be an multiple of 5.
And to be particular, n should be a multiple of 5 as 6 is not multiple of 5.
So, possible n values are, 5, 10, 15. We need not take above 15 as number of brownies available are 15
In order to arrange in more plates we have to take less count in single plate. Then, n = 5.
Now, number of plates
Hence, Marta can arrange a maximum of 3 plates.
help me plssssss :(((((
Answer:
these are your basic one step equations you should be able to find the answer by just simply looking at it but if you take the number on the left side of the x and divide that both sides you'll get x by itself and you'll find the answer for x
Anybody have an answer key to this?
$21
a
Hannah works for a regular hourly rate of
Last week she worked a total of 50 hours.
Overtime is paid for any hours worked above 40 hours.
The overtime rate is 1.5 times the regular rate.
Federal tax withholding is 12%
State tax withholding is 5%
FICA withholding is 7.5%
Also, Hannah pays $100 per week for medical insurance.
Calculate Hannah's Net Pay.
You must show all work.
Answer:
522.87
Step-by-step explanation:
15*40=600
22.5*10=225
825*24.5%=202.13
825-100-202.13=522.87
Lara is creating potpourri bowls using 4 bags of shredded bark and 10 bags of flower petals.
If she wants to make all the potpourri bowls identical, containing the same number of bags of
shredded bark and the same number of bags of flower petals, what is the greatest number of
potpourri bowls Lara can create?
Answer:
2
Step-by-step explanation:
16: 16, 8,4,2,1
10: 10,5,2,1
The GCF is 2 because 16 bags of shredded bark can be split with 8 bags of shredded bark, and 10 bags of flower petals could be split to 2 bowls with 5 bags each.
Alice needs to mix 4 cups of baking soda with 3 cups of water to make a cleaning solution. How many cups of baking soda are needed for each cup of water?
Answer:
1.33
Step-by-step explanation:
Divide 3 by 3, making it one. Now divide 4 by 3, making it 1.33.
8.) Sophia counter offered with $35,000 for 25% of her company, How much does
she think her company worth? (Hint, Use a proportion to find what 100% of her
company is worth)
% 25%-100%
$ 35,000
Answer: $ 140,000
Step-by-step explanation:
A square-shaped park has an area of 400 ft2. What are the dimensions of the park? Write and solve an equation.
Answer:I think 200ft2
Step-by-step explanation:
Shane rare book collection contains 40 books. He donates 20% of his books to the national libary. he sells 1/4 of his books to a rare book dealer. the remaining he sells online. how many books did he sell online? NO LINKS!
A:8
B:10
C:18
D: 22
find the difference -156-(-45)
Answer:
-201
Step-by-step explanation:
a negative minus a negative is like adding, but keeping the same sign.
so we can do 156+45, and we get 201.
now we put the negative sign back.
-201
On five days of every week Jackie runs 2 1/2 miles in the morning how many total miles is Jackie run every week
Answer:
so I believe the question is just wanting you to do 5 times 2 1/2. I believe the answer would be 12 1/2. Your just adding 2 1/2, 5 times for each day she runs.
Find the mode of the following set of numbers.
{25, 23, 25, 25, 11, 25, 23, 38, 19, 25}
Answer:
25
Step-by-step explanation:
25 is the most frequent number found in the following set of numbers, so 25 would be the answer.
if f(x)=4x-2/3 what would f(a+3) be
Answer:
it will look like this 4(a+3)-2/3
Step-by-step explanation:
look since the equation "a+3" replaced for the place of "x" in f(x), you replace it on the equation "4x- 2/3" and just solve
Answer:
Step-by-step explanation:
Id..k how to help u sorry