Answer:
A) $17,332.59
Step-by-step explanation:
$16,000(e^(0.02[or 2%] * 4)) = $16,000(e^0.08)
e^0.08 = 1.08328706767 * $16,000 ≈ $17,332.59
the amount in the account after 4 years would be approximately $18,252.85.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Now, For calculate the amount of money in the account after 4 years with a continuous compounding interest rate of 2%, we can use the formula:
⇒ [tex]A = Pe^{rt}[/tex]
Where A is the final amount in the account, P is the initial deposit, e is Euler's number (approximately 2.71828), r is the annual interest rate as a decimal, and t is the time in years.
In this case, we have:
P = $16,000
r = 0.02
t = 4 years
Therefore, we can calculate the final amount in the account as:
⇒ A = [tex]$16,000 e^{0.02 * 4}[/tex]
⇒ A = [tex]$16,000 e^{0.08}[/tex]
⇒ A = $18,252.85
So, the amount in the account after 4 years would be approximately $18,252.85.
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Figure EFGH is transformed to E’F’G’H’, as shown:
A coordinate plane is shown. Figure EFGH has vertices E at negative 5 comma 4, F at negative 5 comma 1, G at negative 3 comma 2, and H at negative 1 comma 6. Figure E prime F prime G prime H prime has vertices at E prime 7 comma 4, F prime 7 comma 1, G prime 5 comma 2 and H prime 3 comma 6.
Which of the following sequences of transformations is used to obtain figure E’F’G’H’ from EFGH?
Counterclockwise rotation by 90 degrees about the origin followed by a translation right by 2 units
Counterclockwise rotation by 90 degrees about the origin followed by a translation left by 2 units
Reflection about the y-axis followed by a translation right by 2 units
Reflection about the x-axis followed by a translation left by 2 units
Answer:
Reflection about the y-axis followed by a translation right by 2 units!
Step-by-step explanation:
I took the test and got it right, hope everyone that looks this up find the answer! <3
Answer:
Reflection about the y-axis followed by a translation right by 2 units
Step-by-step explanation:
:)
A 20-sided number cube is made up of equilateral triangles. Write and solve an equation to determine the value of x on the number cube shown.
Answer:
The answer is below
Step-by-step explanation:
Triangle is a polygon with three sides and three angles. Types of triangles are equilateral, scalene, isosceles and right angled triangle. An equilateral triangle is a triangle in which all its sides are equal to each other, thereby each of its three angles measure 60°.
From the image of the 20 sided number cube, we can see that the length of each side of the equilateral triangle measures 13 mm. Therefore to find x, we use the formula:
x + 3.8 = 13
x = 13 - 3.8
x = 9.2 mm
A crew of workers paved 3/15 of mile in 20 minutes. If they work at the same rate, how much of a mile will they pave in 1 hour
write the next three terms of the arithmetic sequence.
5/6, 2/3, 1/2, 1/3, _, _, _,
i will mark as brainliest
The next terms are 1/6, 0, & -1/6.
please show work for brainlist
$483.78
Step-by-step explanation:
21.99 times 22 = $483.78
I WILL GIVE YOU BRIANLIEST!!!
4x^2+2x-9
What is the r s and q in quadratic formula?
Answer:
Wait... their is no r s and q in the quadratic formula....
Step-by-step explanation:
Copy link
OPEN ENDED QUESTION
What operation(s) should come first when
solving?
Answer:
Multiplication and Division unless there are parentheses
Step-by-step explanation:
Solve for x.
1/6x + 2x3x + 4 = x + 2
A) X = 1
B) X = 6
C) X = 12
D) x = 36
Answer:
c 12
Step-by-step explanation:
The results of a random sample of 1,000 people are recorded in Table 1. Use this data to answer the questions that follow.
people who wear corrective lenses 762
people who wear glasses: 638
people who wear contact lenses 124
What percentage of Americans would you predict wear corrective lenses?
Answer:
I think around [tex]\frac12[/tex] would be a fraction form. An exact form would literally one half 638 + 124 = 762 762 is equal to 762
Step-by-step explanation:
So therefore, 762 is your half and one half is your awnser
I believe i'm right!
A survey is conducted in order to collect a piece of specific information. The percentage of Americans who wear corrective lenses in America is 76.2%.
What is a survey?A survey is conducted in order to collect a piece of specific information from a group of people chosen from the entire population who denotes the entire population for those questions.
Given the survey was taken for 1000 people, the number of people in this survey who wear corrective lense is 762. Therefore, the ratio of the people who wear corrective lense is,
Ratio = 762/1000 = 0.762 = 76.2%
Since the people in a survey represent the entire population, therefore, the percentage of Americans who wear corrective lenses in America is 76.2%.
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Carlos designs the skateboard ramp shown in the diagram.
.132 in,
h
1220
Enter the height of the ramp (h), in inches. Round your answer
to the nearest whole inch.
Answer:
sin22⁰=h/132
sin22⁰×132=h
h=49.44
h=49.4inches
If length of ramp of skateboard is 132 inch and angle is 22° then height of ramp is 49 inch
What is a triangle ?A triangle is a polygon with three edges and three vertices
Here in the given triangle
Perpendicular=h
Hypotenuse =132
angle=22°
So height of ramp can be calculated as
Sin 22°= Perpendicular/Hypotenuse
Sin 22°= h/132
h= 132[tex]\times[/tex]sin 22°
h= 132[tex]\times[/tex]0.37460659341
h=49.4480703301
[tex]h \approx49[/tex] inch
If length of ramp of skateboard is 132 inch and angle is 22° then height of ramp is 49 inch
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45% of c is 90.
Find the value of c.
Answer:
200 = c
Step-by-step explanation:
100/45=2.2.
2.2x90= 200.
Calculate the area of the composite figure, which is
not drawn to scale.
488cm² is your answer
Step-by-step explanation:
the area of the composite figure=area of rectangle +area of triangle
=l×b+1/2 b×h=17×22+1/2×{22-10}×19 =488cm²
Please help ASAP! I'll give brainliest!
Answer:
Step-by-step explanation:
Answer:
Hey, do you want to roleplay
Step-by-step explanation:
I can't solve, sorry.
Please help ASAP!!!!
- 3/5
Step-by-step explanation:
1(y) = 1 x y
= 1 x (- 3/5)
= - 3/5
Can someone plz help me
Answer:
Step-by-step explanation:
First, prove that triangle ABX is congruent to ACX.
By the reflexive property of Congruence AX=AX.
By SSS, triangle ABX is congruent to ACX.
By the CPCTC Theorem Angle BAX is equal to angle CAX.
By the definition of an angle, bisector AX bisects angle BAC
If this helped please consider giving brainliest.
Write the equation of the line that passes through the points (7,0)(7,0) and (7,6)(7,6). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:
x=7
Step-by-step explanation:
have a great day :D
4. What is the slope of
the line?
A group of 5 friends went to the movies. A bag of popcorn costs $2.99. How much will it take cost to get one bag of popcorn for each friend
Answer:
this one is so simple add $2.99 5 times
Step-by-step explanation:
Answer:
14.95
Step-by-step explanation:
I guess you are assuming that one person is getting the popcorn for all 5 people including themselves. It's not worded the best way I've ever seen but that is the assumption I will make
So you multiply 5 * 2.99 = 14.95
Only for interest's sake, you could solve the question by multiplying by 5 * 3 dollars
5 * 3 = 15 dollars
You take off 5 cents because the actual cost is 2.99 and that is 1 cent below 3 dollars.
15.00 - 05 = 14.95 or a nickel less than 15 dollars.
David has 6 pounds of peanuts. He wants to give each of his friends of a pound.
How many friends can receive of a pound of peanuts?
|
Explain your solution by using models and words or numbers.
What does the quotient represents in this problem?
.
A basketball team scored 78 points in a game. The players made 6 baskets worth 1 point each and 27 baskets worth 2 points each. The rest of the baskets made were worth 3 points each. Which equation can be used to find b, the number of baskets the players made that were worth 3 points each?
Answer: They made 6 three point shots.
Step-by-step explanation:
Make your equation
(((6x1)+(27x2)+(3x)=78
Simplify
(6+54+3x=78)
60+3x=78
Subtract from both sides
3x=18
Divide from both sides
x=6
The basketball team scored 6 shots worth 3 points.
The number of baskets the players made that were worth 3 points each is 6 and the equation used for this is, total score = The number of 1-point baskets × 1 + The number of 2-point baskets × 2 + The number of 3-point baskets × 3.
What is the equation?A formula known as an equation uses the equals sign to denote the equality of two expressions.
Given:
Total scored by the team = 78 points,
The number of 1-point baskets = 6,
The number of 2-point baskets = 27,
If b is the number of 3-point baskets, the equation can be given as,
Total score = The number of 1-point baskets × 1 + The number of 2-point baskets × 2 + The number of 3-point baskets × 3
78 = 6 × 1 + 27 × 2 + b ×3
b = 6
Therefore, the number of baskets the players made that were worth 3 points each is 6.
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Pls Help me with this Question Its 8th Grade Math!
please help! will give brainliest, 15 points
Answer:
Step-by-step explanation:
i need the points sorry dude!
Answer:
3*(4+5)-6=21
4*(3+2)-8=12
Step-by-step explanation:
Find f(-5) if f(n) = n^3 + 3n^2
There is a bag filled with 4 blue, 3 red and 5 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is not replaced.
Another marble is taken at random.
What is the probability of getting exactly 1 green?
Answer:
Step-by-step explanation:
P(g=1) is equal to
1-P(g=0)-P(g=2)
P(g=0)=(7/12)(6/11)
P(g=2)=(5/12)(4/11) so
P(g=1)=1-(42/132)-(20/132)
P(g=1)=(132-42-20)/132
P(g=1)=70/132
P(g=1)=35/66
What is the circumference of the following circle?
IN
T1
Answer:
the circumstance of the circle is 6.2857
What is the slope of this line?
Answer:
The slope is 1 because its rise over run is 1/1 which equals to 1. Its also a positive slope. Hope this helps!
Please help NO LINKS!!!! They are two different questions and i really need help!!!!!
Answer:
1: c
2: 114
Step-by-step explanation:
Answer:
Part 1 is C
Part 2 is B
Step-by-step explanation:
Part 1: First convert 35% into a decimal (.35)
Then convert it into a fraction ([tex]\frac{7}{20}[/tex])
Now convert 10% into a fraction (.10)
Convert into a fraction ([tex]\frac{1}{10}[/tex] or [tex]\frac{2}{20}[/tex])
Part 2: Convert 15% into a decimal (.15)
Multiply .15 by 760 (114)
114 students chose tea as a drink
20 POINTS I need help ASAP
Answer:
Hello this might not be the answer u need but i hope u understand i need these points for a give away im doing soon so hope u dont mind, and also i dont think im in a high enough grade yet ;-; sorry!
Step-by-step explanation:
(x - 1)-+ x (1 - x)
-
-(1+x)
--x-1
is it correct?
The length of a rectangle is 4 meters less than
wice its width. The area of the rectangle is 70.
Find the dimensions of the rectangle.
Answer:
280
Step-by-step explanation: