Answer:
We conclude that the total amount accrued, principal plus interest, from compound interest on an original principal of $4,500.00 at a rate of 3.2% per year compounded continuously over 1.5 years is $4,721.27.
Step-by-step explanation:
Given
Principle P = 4500 (Let say in $)Interest rate r = 3.2% = 0.032Time period t = 1.5 yearsTo determine
Accrue Amount A = ?
Using the formula
[tex]A\:=\:Pe^{rt}[/tex]
substitute r = 0.032, P = 4500, and t = 1.5
[tex]A\:=\:4,500.00\left(2.71828\right)^{\left(0.032\right)\left(1.5\right)}[/tex]
A = $ 4721.27
Therefore, we conclude that the total amount accrued, principal plus interest, from compound interest on an original principal of $4,500.00 at a rate of 3.2% per year compounded continuously over 1.5 years is $4,721.27.
Laura creates a rectangular prism with wooden cubes. Each cube has an edge length of 3/4 inch. she uses a total of 240 cubes. the cubes are stacked 8 cubes high. What are the possible measurements for the length and width of the rectangular prism in inches.
Enter each measurement on a separate line.
Answer:00.24
explanation:
Just add the decimal form and multiply the 240 with the decimal of the 3/4
Is the slope positive or negative?
. Which of the following situations is best represented by the equation y = x + 15?
1 Each student begins the candy hunt with 15 pieces of candy in their bag.
2 Emery earns $15 per hour babysitting.
3 Joshua spent $15 of his money at the movie theatre.
4 Each homeroom class has at least 15 students.
Step-by-step explanation:
= 30 djdjsbdjdbdbdu djsjsbs
I say that A best represents the equation.
The reason I say this is because the equation (y= x + 15) can be explained like this.
y= Total amount of candy (in this case since it's based on A)
x= Amount found (normally would be called earned)
15= starting amount (aka initial value)
So since each student started with 15 you would add that on to X= the total amount found. Then after that the total value (y) would have been represented by the equation X + 15.
All in all A best represents the equation Y= X + 15.
Hope this helps.
。 . . 。 ඞ ඞ ඞ ඞ ඞ ඞ ඞ 。 . • . [Northstar] was ejected. . . 。 . 。 ﾟ . . , . . .. 。 • ﾟ 。 . . . 。。 • ﾟ 。 . . . 。。 • ﾟ 。 . . . 。。 • ﾟ 。 . . . 。
Write an expression, using an exponent that is equivalent to 6 x 6 x 6 x 6 x 6.
Answer:
6^4 = 1296
Step-by-step explanation:
6 to the power of 4
PLEASE HELP ASAP, I HAVE 10 MINUTES ;
Arianna and her children went into a grocery store where they sell peaches for $1 each and mangos for $0.50 each. Arianna has $9 to spend and must buy at least 13 peaches and mangos altogether. If x represents the number of peaches purchased and y represents the number of mangos purchased, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
Step-by-step explanation:
when 13 bought we find these inequalities
x + 12y < 7 no
2x + 11y < 7.5 no
3x + 10y < 8 no
4x + 9y < 8.5 no
5x + 8y > 9 yes
When 14 bought we find these inequalities
x + 13y < 7.5 no
2x + 12y < 8 no
3x + 11y < 8.5 no
4x + 10y > 9 yes
We want to find and solve a system of inequalities to determine some possible solutions to Arianna's situation.
The possible solution is:
x = 2
y = 12
And the graph can be seen at the end.
Now let's see how to solve this.
First, we need to write the system of inequalities, the information given is:
Price of each peach = $1.Price of each mango = $0.50Arianna has $9.Arianna must buy at least 13 fruits.Now we can define the variables:
x = number of peaches that she buysy = number of mangos that she buysThen we must have:
x + y ≥ 13 (this means that she buys at least 13 fruits)
x*$1 + y*$0.50 ≤ $9 (this means that she can't spend more than $9)
Now we just need to graph these two lines, we can rewrite them as:
y ≥ 13 - x
y ≤ $9.00/$0.50 - x*$1/$0.50 = 18 - x*2
Then we just need to graph the two lines, and shade the region above the first one, and the region below the second one, the graph can be seen below:
Any point inside the double shaded region in the first quadrant is a possible solution. (we restrict only to the first quadrant because we can not use negative values for x nor for y).
Then a possible solution that we could choose is:
x = 2
y = 12
This means that she buys 2 peaches and 12 mangos.
If you want to learn more, you can read:
https://brainly.com/question/19526736
Explain your answer !!
Have a great day
Will give brainlst
Answer:
Im having a good day!
Step-by-step explanation:
Sadly, my man got punched in the face by his brother, but getting my hair cut later today
What the mean daily snowfall
Answer:
Daily Snowfall means the amount of snow that fell on a single day.
Hope this helps!!!
Find the length of the third side. If necessary, write in simplest radical form.
3
6
Answer: 5.2 units
Step-by-step explanation:
This is a right-angled triangle which means that the missing length can be solved using the Pythagorean theorem:
c² = a² + b²
Where c is the hypotenuse
a and b are the other sides.
c = 6
a = 3
b = ?
6² = 3² + b²
36 = 9 + b²
b² = 27
b = √27
b = 5.2 units
Answer:
its 3√3
Step-by-step explanation:
Exits along interstate highways were formerly numbered successively from the western or southern border of a state. However, the Department of Transportation changed most of them to agree with the numbers on the mile markers along the highway. a. What level of measurement were data on the consecutive exit numbers
Answer:
The appropriate response will be "Ordinal".
Step-by-step explanation:
Consecutive exit figures would be quantified on either the 'ordinary' magnitude because they were represented progressively again from the southwestern boundary including its nation. There would seem to be a clear structure to also be accompanied whilst also numbering, as well as that there were no wide variation exit figures.
the total for a restaurant bill is $95.20 if the bill is split among 8 friends equally, how much will each person pay
Answer:
11.90
Step-by-step explanation:
-9(x+2)=54 apply the distributive property and simplify
Answer:
x = -8
Step-by-step explanation:
-9 (x+2) = 54
-9x - 18 = 54
-9x = 72
x = -8
Hope this helps :)
Let me know if there are any mistakes!!
Find the solution to the system. Write your solution as an ordered pair (x,y)
with no spaces, no solution, or infinitely many. x-3y=7 and 3x-9y=21*
Answer:
Infinitely many
Step-by-step explanation:
If we multiply the equation x-3y=7 by 3, we get 3x-9y=21, which is also the second equation. That means the two lines are on top of each other, meaning infinite many solutions.
Jen sells flowers. She charges $2 per flower plug a $3 flat delivery fee. What is a linear equation that can represent the cost of buying x amount of flowers and includes the one time delivery charge? ( Y = mx + b )
Answer:
y=2x+3
Step-by-step explanation:
the 2 is the coefficient so everytime you add a new flower the amount will go up by 2 dollars and the $3 delivery fee is a one time fee so you only add it one time.
The Graduate Management Admission Test (GMAT) is a standardized exam used by many universities as part of the assessment for admission to graduate study in business. The average GMAT score is (Magoosh website, January 5, 2015). Assume that GMAT scores are bell-shaped with a standard deviation of . a. What percentage of GMAT scores are or higher
Answer:
The answer is "16%".
Step-by-step explanation:
Its empirical rule suggests which 68% of the very first standard deviation, 95% of the very first 2 standard deviations or 99.7% of the very first three standard deviations of the variance average fall.
[tex]z =647 \\\\z=\frac{(647-547)}{100}= \frac{100}{100}=1[/tex]
The empirical rule indicates the first standard deviation around 68 percent.
So,
[tex]=\frac{(100-68)}{2} \\\\=\frac{32}{2} \\\\= 16 \% \ drop \ 647 \ and \ above[/tex]
help find the radius
Answer:
12.5
Step-by-step explanation:
the radius of a circle is half of the diameter
What is the total area? Use 3 for Pi.
Answer fast pls!! xx
A menu has three meat choices, three vegetable choices and two
desserts. How many ways can you choose your dinner?
Answer:
18 ways
Step-by-step explanation:
The computation of the number of ways that could be choose your dinner as follows:
= 3 meat choices × 3 vegetable choices × 2 desserts
= 18 ways
By multiplying all the three things we can determined the number of ways
Evaluate the expression below for n = 3.7.
12.8 + 6(n - 0.5)
Answer:
30n+49/5
Step-by-step explanation:
Answer:
12.8+6(n-0.5)
Putting the value of n into the equation
12.8+6(3.7-0.5)
12.8+6(3.2)
12.8+19.2
32.0
What is the value of (.5)^4
Answer:
0.0625 should be the answer of .5 to the fourth power.
How is this
11% as a decimal??
Answer:
0.11
Step-by-step explanation:
11% as a decimal = 0.11
Identify the problem that does not have the same quotient as the other three. Explain your reasoning. 49 - 7 4.9 - 7 0.49 + 0.7 0.049 = 0.07
9514 1404 393
Answer:
49 ÷ 7 = 7
Step-by-step explanation:
We assume your intended quotients are ...
49 ÷ 7 = 7
4.9 ÷ 7 = 0.7
0.49 ÷ 0.7 = 0.7
0.049 ÷ 0.07 = 0.7
The one that is different is 49 ÷ 7.
__
Evaluation of the quotients tells you which is different. Inspection of place values also tells you which is different. In all but the first quotient, the 4 and the 7 are in the same number place, so the quotients will be the same value.
Explain your answer !!
Have a great day
Will give brainlst
Help me find the surface area of this shape
Answer:
216
Step-by-step explanation:
If X = 14, find the value of the variable a. If your answer is not an integer, express it in simplest radical form.
Answer:
Step-by-step explanation:
First thing I would do is square the 14, and put it under the radical. Itll make the calculations a little bit easier.
14sqrt(2) = sqrt392
Use the definition of sine to find the value of a
sin(45) = opposite/hypotenuse = a/sqrt392
[tex]sin(45)=\frac{a}{\sqrt{392} }[/tex]
a = 14
Find the slope of the line passing through the points (5, -6) and (1, -1).
Answer: -5/4
Step-by-step explanation:
The equation for solving for slope is y2-y1/x2-x1
substitute
-1-(-6) / 1-5
5/-4
slope= -5/4
-HELP QUICK!!- What is the distance from P to Q?
A P E X
Answer:
might be 7
Step-by-step explanation:
count the rise and run from Q to P. count up 3 and right 4.
wore
Jackie buys 5kg of flour.
She is making pizzas that each need 300g
of flour.
What is the maximum number of pizzas
that Jackie can make?
How much flour will Jackie have left?
Can you give me the answer
Write -5 1/2
as a decimal number.
Write the equation 12 = -3x + 6 in the form ax + b = c, with c = 12. What are the values of a and b?
sorry I don't know Ab = cd and bc = ad
Using SAS postulate triangles formed by ABC = abd
Opposite sides are equal and each angle is 90 degrees so by definition it is a rectangle.Ab = cd and bc = ad
Using SAS postulate triangles formed by ABC = abd
Opposite sides are equal and each angle is 90 degrees so by definition it is a rectangle.
Answer:
I think the answer is .
Step-by-step explanation:
C= 12
Hope this helps
5th grade math. Correct answer will be marked brainliest.