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.
Learn more about compound interest here: brainly.com/question/25857212
#Tag #SPJ2
-4y = -x + 18. find the points
Answer:
not sure please elaborate your question more.
Step-by-step explanation:
PLEASE HELP PLEAAE HURRY ANS NO LINKS PLEASE I REALLY NEED THE ANSWER
please mark this answer as brainlist
HELP PLEASE I REALLY NEED IT!
Answer:
Step-by-step explanation:
ZTU = 75, since RTS and ZTU are vertical angles, and RTS = 75.
TZU = 43, since TZU and QZX are vertical angles, and QZX = 43.
ZUT = 180 - ZTU - TZU = 180 - 75 - 43 = 62, since triangle ZUT is shown in the diagram, and the sum of its interior angles = 180.
YUW = 180 - 79 - 62 = 39, since TUW is a straight angle, which measures 180 degrees, and angle TUW is the sum of angle ZUY and angle ZUT and angle YUW, by the diagram.
YVU = 180 - ZUY - YUW = 180 - 68 - 39 = 73, since triangle YUV is shown in the diagram, and the sum of its interior angles = 180.
YVW = 180 - YVU = 180 - 73 = 107, since YVW and YVU are supplementary.
TYPE OkOk12 AND YOU WIN Brainliest
Answer:
okok12
Step-by-step explanation:
okok12 okok12 okok12
Guys please help me i really need this right answer
Answer:
Step 2: Commutative Property
Step 3: Associative Property
Step-by-step explanation:
According to the Commutative Property of Addition: Two real numbers can be added in either order.
a + b = b + a
Therefore, she used the Commutative Property in Step 2.
In Step 3, she used the Associative Property, in which the grouping of the addends does not change the sum.
Guys i need help evaluating this number, please help
Answer:
[tex] {12}^{2} - 3(4( \frac{1}{4} ) - ( {1}^{8} )) \\ = 144 - 3(1 - 1) = 144[/tex]
Answer:
144
Step-by-step explanation:
4(1/4) = 1
1^8 = 1
[1-1]= 0
3*0 = 0
12^2= 144
144-0= 144
I want to eat and bought a hamburger a bag of chips and a drink all the chips cost $1.25 gave the cashier $20 and received $14.39 in how what did the drink cost
1. Find the missing lengths of the sides.
Answer:
3rd option is correct.
Step-by-step explanation:
The diagonal length of a square is [tex]\sqrt{2}[/tex] times the side lengths of the square. Squares have 90 degree angles, so we know that this triangle is half a square, making both side lengths 12.
im not completely sure how to use slope (7th grade)
Answer:
-3/2
Step-by-step explanation:
choose an x variable with it's corresponding y variable from the table.
for example -4, 19
then choose another one,
for example 0, 13
-4 will be the x1 and 19 will be y1 (-4=x1) (19=y1)
the second pair,
0 will be x2 and 13 will be y2 (0=x2) (13=y2)
then you need to subtract y1 from y2: 13 - 19 = (-6)
then you need to subtract x1 from x2: 0 - (-4) = 4
now you have y = (-6)
and x = 4
and since rise over run, aka y = rise, x = run, you put y over x. (divide)
y/x -6/4 simplify = -3/2
whats is 2+2?
im confused pls explain
Solve for x
simple geometry
Step-by-step explanation:
[tex]2x - 10 + 4x + 16 = 180 \\ \\ 4x - 2x + 16 + 10 = 180 \\ \\ 2x = 180 - 26 \\ \\ 2x = 154 \\ \\ x = \frac{154}{2} \\ \\ x = 77[/tex]
Answer:
From the above attachment we can conclude that,
[tex](2x - 10)° + (4x + 16)° = 180° \\ 2x - 10 + 4x + 16 = 180 \\ 2x + 4x - 10 + 16 = 180 \\ 6x + 6 = 180 \\ 6x = 180 - 6 \\ 6x = 174 \\x = \frac{174}{6} \\ \boxed{x = 29}[/tex]
Therefore, the value of x is 29
x = 29 is the right answer.Rick and tom share a reward of $75 in a ratio of 2:3. how much money does each of them get?
Answer:
Rick gets $30 and Tom gets $45.
Step-by-step explanation:
If Rick gets 2 parts, and Tom gets 3 parts, then there are 5 parts. If $75 is split into 5 parts, each part will be worth $15.
Hence,
Rick gets 2 * $15 = $30
Tom gets 3 * $15 = $45
Identify the parent function.
O A. Reciprocal
OB. Square root
O C. Absolute value
O D. Cube root
Answer:
The answer is reciprocal
Answer:
Absolute value
Step-by-step explanation:
Parent function: y = |x|
Dominic jumped from a height of 14.3 feet above the surface of a pool. He traveled 18.7 feet straight down into the water. From there he traveled up 25.55 feet to the top of the biggest water slide at the pool. What is the height of the tallest waterslide?
Answer:
21.15 ft
Step-by-step explanation:
18.7 - 14.3 = 4.4 = pool depth
25.55-4.4 = 21.15 = slide height
Answer:
The height of the tallest water slide is 58.55 feet.
Step-by-step explanation:
To find the height of the tallest waterslide, we need to add the height from the surface of the pool to the point where Dominic reached before going down the water slide and the height of the water slide itself.
Dominic jumped from a height of 14.3 feet above the surface of the pool and traveled 18.7 feet straight down into the water, so his total distance from the surface of the pool to the point where he started going up the water slide is:
14.3 feet + 18.7 feet = 33 feet
From there, he traveled up 25.55 feet to the top of the water slide, so the height of the tallest water slide is:
33 feet + 25.55 feet = 58.55 feet
Therefore, the height of the tallest water slide is 58.55 feet.
Evaluate the expression: 5 + 3 × (5 - 2x2)
32
72
36
16
Answer:
5+3*(5-2*2)
5+3*(5-4)
5+3*1
5+3
=8
Step-by-step explanation: i think
Find the percent decrease. Round to the nearest percent.
From 17 bagels to 0 bagels
The percent decrease is %.
Answer: 100%
Step-by-step explanation:
the normal decrease is 0-17=17, then you take the original bagel count divide by the number of bagels decreased (which is 17) x100 percent.
you shld get 100%, thanks!
Given the expression -15 (10 2/3) A. Rewrite the expression using distributive property B. Evaluate the expression in show all your work.
9514 1404 393
Answer:
-160
Step-by-step explanation:
-15(10 2/3) = -15(10) +(-15)(2/3) = -150 -30/3 = -150 -10 = -160
The mixed number can be written as the sum of an integer and a fraction. The multiplier then multiplies the integer and the fraction separately, and the two products are added.
what is the slope of the line that passes through the points 6,10 and -4,4
Answer:
Slope = 3/5
Step-by-step explanation:
Slope = (change in y) / (change in x)
= (4 - 10)/(-4 -6)
= -6/-10
= 3/5
Mr. Alcazar bakes cookies in batches of 60 and batches of 90. If he bakes 6 batches of 60 cookies, how many cookies does he bake?
Answer:
Mr. Alcazar baked 810 cookies.
Step-by-step explanation:
Given that Mr. Alcazar bakes 6 batches of 60 cookies and five batches of 90 cookies, to determine the amount of cookies that he cook, the following calculation must be performed:
(6 x 60) + (5 x 90) = X
360 + 450 = X
810 = X
Therefore, according to the calculation that has been made, Mr. Alcazar baked 810 cookies.
Charlie bought 89.64 pounds of fruit for a class party. The class ate 31 pounds of the fruit.
How much fruit is left?
Hi! I am giving the community a chance, will give brainliest if you answer this question for 20 points
Answer:
Step-by-step explanation:
Lol, so you start by looking at two of your fingers.
You pull up two more fingers.
To find the answer, you add those two numbers (two and two), which gives you four.
Final Answer: 'Four' in words or 4 in numbers.
Hope you found this helpful, or at least amusing.
The length of a rectangle is 2.5 times its width
The perimeter of the rectangle is 84
centimeters. Find the dimensions of the
rectangle.
Answer:
210
Step-by-step explanation:
2.5 times 84 = 210
Which of these expressions are equal to 4? Select THREE that apply.
Polynomials
Multiply 5x(x2 - 4x+2)
Answer:
[tex]5x^3-20x^2+10x[/tex]
Answer:
-10x(x-1)
Step-by-step explanation:
5x(2x-4x+2)
10x^2-20x^2+10x
-10x^2+10x
-10x(x-1)
Help is appreciated! :)
(Question is in image below)
Answer:
92 more miles (D)
Step-by-step explanation:
I believe the answer is 92 more miles (d). So we know that Mr Klein is driving at a steady 60 miles per hour for 42 minutes. There are 60 minutes in an hour, so every minute they've driven a mile. Therefore, in 42 minutes, they've driven 42 hours. And then 134 - 42 is equal to 92, which is your final answer.
Hope this helped!! :D
225 people must be split into 9 equal groups how many people in each group
Answer:
25
Step-by-step explanation:
division
Answer:
If 225 people are split into 9 equal groups each group will have 25 members in it
Jordan has completed 5/8 of his homework assignment. What is the decimal equivalent of the amount of the assignment he has completed?
Answer:Try to see what you have to do and see if you have to divide and add subtract and multiply
Step-by-step explanation:
.46 as fraction again in simplest
8
8
4
NI
-27
which system of linear inequalities is graphed?
Use this table to help answer the question. What would be the best description of the johns times rounded to quarter hours (15 minutes)
A) 8:45am - 5:00pm
B) 8:45am - 5:15pm
C) 8:30am - 5:15pm
D) 8:30am - 5:00pm