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The interest earned on a $30,000 deposit for six months at 1.5% interest compounded continuously will be $225.846.
What is compound interest?Compound interest is applicable when there will be a change in the principle amount after the given time period.
For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount. After 1 year the interest will be $50 and hence principle amount will become $550 now for the next year the interest will be $550, not $500.
The continuously compound interest formula is given by
P = P₀[tex]e^{rt}[/tex] where r is the annual interest rate and t is the time period in years.
So,
P₀ = 30000
r = 1.5% = 0.015
t = 6 months = 0.5 year
So,
P = 30000[tex]e^{0.015(0.5)}[/tex]
P = 30000 × 1.007528195
P = $30225.84586
So, interest
I = 30225.84586 - 30000 = $225.8486
Hence " The interest earned on a $30,000 deposit for six months at 1.5% interest compounded continuously will be $225.846".
For more information about compound interest,
brainly.com/question/26457073
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Which statement best describes how the first-person narration in Fever 1793 engages readers?
Answer:
Mattie's perspective on her grandfather's strong-headed opinions gives readers an understanding of the influence he has on her. Mattie's perspective on the events of 1793 gives readers an understanding of the experiences and uneasiness of the time
the question is on the sheet.
area of the whole figure
= (x + 1)(2x + 3)
= x(2x + 3) + 1(2x + 3)
= 2 {x}^{2} + 3x + 2x + 3
= (2x)^(2} + 5x + 3
area of the unshaded region
= x(2x)
= 2x²
area of the shaded region
= 2x² + 5x + 3 - 2x²
= (2x² - 2x² ) + 5x + 3
= 5x+ 3
THEREFORE,
THE AREA OF THE FRAME IS C. 5x + 3
PLS HELP! DUE TODAY! I WILL GIVE BRAINLIEST TO PERSON WHO ANSWERS FIRST AND CORRECTLY! DONT ANSWER IF YOU DONT KNOW THE ANSWER!
Write a sentence to represent the equation 4m = -8.
Answer:
Four times 'M' equals to minus eight
help can someone please help me
Answer:
B=55
Step-by-step explanation:
2x+3x+2x+5=180
7x=175
X=25
B= 2x+5
B=2*25 +5
B=55
You and 3 friends decided to share a pizza. If everyone got 2 pieces each, how many total pieces of pizza were there to begin with?
Answer:
8
Step-by-step explanation:
dhdhdhdhdhdhdhddijd
Answer:
6 pieces of pizza was started with
This is hard. Again T^T
Which of the following could be the equation of a parallel to the line y=4?
•y=0
•y=4
•undefined
•y=4x
Answer:
y = 0 is parallel to y= 4 ..plz mark my answer as brainlist plzzzz if correct
y= 0 is parallel to y=4
I think it will help you.
If 4 workers take 900 hours to finish a project, how long will it take 8 workers to complete the same project?
Answer: 350
Step-by-step explanation: If you multiply the amount of workers by two, then you divide the amount of time by two, and vice versa. So, in other words, whatever number you multiply the workers by, divide the time by that same number. I hope this helps!
Find the slope of the line.
Answer:
5/2
Step-by-step explanation:
Start from (-2,-2) and count up and over until you get to (0,3) because slope is rise/run.
5/2
If you want to check your answer, you can always use the slope formula which is: y2-y1/x2-x1
3--2/0--2 = 5/2
Consider the following scenario describing the residents of Charlestown: The list pairs resident's ages with their zip codes.
Does this scenario represent a function?
No, because people who are the same age can have different zip codes
No, because people who have the same zip code can be different ages
Yes, because people who are the same age can have different zip codes
Yes, because people who have the same zip code can be different ages
Answer:
No, because people who are the same age can have different zip codes!!
I took a test with this question and got it correct!!
Step-by-step explanation:
Divide
−4 1/3 ÷ −2 3/5
Answer:
1 2/3
Step-by-step explanation:
-4 1/3 ÷ -2 3/5
-13/3 ÷ -13/5
-13 x 5/ 3x -13
-65/-39
1 2/3
Jenny is getting ready to go see "Black Christmas" with her friends and is trying to decide what to wear. She has 3 shirts : 1 blue, 1 purple and 1 red. She can also wear jeans or a skirt and she can wear boots or flats. How many different outfits can
Help me please also put step by step please.
Answer:
2 outfits.
Step-by-step explanation:
Answer:
12 different outfits
Step-by-step explanation:
3 shirts
jeans or skirt: 2 choices
boots or flats: 2 choices
If you have several thing you can do and each one has a number of choices, the total number of variations is the product of the numbers of choices.
3 * 2 * 2 = 12
Answer: 12 different outfits
4. A hot air balloon hovers 100 feet about the ground. The balloon is tethered to the ground with a
rope that is 250 feet long. At what angle of elevation, is the rope attached to the ground? Round
you answer to the nearest degree.
Answer:
It should be about 112 degrees if rounded about 110
Step-by-step explanation:
Solve for x: one over four (4x + 15) = 24
Answer:
x = 81/4
Step-by-step explanation:
multiply both sides by 4
4x + 15 = 96
subtract 15 from both sides
4x = 81
divide both sides by 4
x= 81/4
i hope that's right
Answer:
81/4
Step-by-step explanation:
goodmorning all help me guys
Answer:
Step-by-step explanation:
a)1) As denominators are same, keep the same denominator for the result also
Add the numerators and write the new numerator.
[tex]\frac{3y}{4}+\frac{5y}{4}=\frac{3y+5y}{4}=\frac{8y}{4}[/tex] = 2y
20 Reduce to simplest form by dividing the numerator and denominator by GCF
Write an equation that represents the line
Use exact numbers
*50 POINTS PLEASE HELP
Answer:
y = -4/3x + 2Step-by-step explanation:
Use two points from the graph:
(0, 2) and (3, -2)Slope intercept formula:
y = mx + by-intercept is b = 2 as per the first point
Slope is found using slope formula:
m = (y2 - y1)/(x2 - x1)m = (-2 - 2)/(3 - 0) = -4/3So the equation is:
y = -4/3x + 270 points
Need answer fast
Answer:
C
Step-by-step explanation:
We did this in math ik it is right. Hope this helps! :)
I need help and it due tomorrow!!! ill give aomethe brainlest answer
Answer:
The measure of the indicated angle is 142°
Step-by-step explanation:
The sum of the measures of the interior angles of a polygon is
∑m = (n - 2) × 180°, where
n is the number of its side or its anglesIn the given figure
∵ The polygon has 6 angles
∴ n = 6
→ Use the rule above to find the sum of the measures of its interior ∠s
∵ ∑m = (6 -2) × 180°
∴ ∑m = 4 × 180°
∴ ∑m = 720°
∵ The measures of its interior ∠s are (2x - 50)°, (x + 40), 80°, (x + 20)°,
x°, 150°
→ Add them to find their sum
∴ ∑m = 2x - 50 + x + 40 + 80 + x + 20 + x + 150
→ Add the like terms in the right side
∴ ∑m = (2x + x + x + x) + (-50 + 40 + 80 + 20 + 150)
∴ ∑m = 5x + 240
→ Equate the right sides of ∑m
∵ 5x + 240 = 720
→ Subtract 240 from both sides
∴ 5x + 240 - 240 = 720 - 240
∴ 5x = 480
→ Divide both sides by 5
∴ x = 96
→ To find the indicated angle substitute x in its measure by 96
∵ The measure of the indicated angle = 2(96) - 50
∴ The measure of the indicated angle = 192 - 50
∴ The measure of the indicated angle = 142°
PLEASE HELP ITS DUE SOON! 40 points and i'll mark you as brainliest!! Also explain how you got the answer!!!
Answer: 6, 4.5
Step-by-step explanation:
Each week jake gets an allowance of $8 plus $3 for each chore he does at
home. His younger sister bella gets an allowance of $6 plus $2 per each chore
she does. Write an expression for how much their parents give them each week if
they do the same number of chores.
Answer:
y = 5x + 14
Step-by-step explanation:
y represents the total money their parents give them. X represents the number of chores. 5 is the sum of 3 + 2 since Jack gets $3 for each chode while Bella gets $2 for each chore. 14 is the set amount of money the receive each week since 8 + 6 is 14.
What is 723 divided by 31 , 1359 divided by and , 851 divided by 77 . Thank you!
Answer:
23.3 and 11.05
Step-by-step explanation:
hope it helped!
In her last basketball game, Carla scored 46 points. In the current game, she has scored 24 points so far. How many more two-points baskets must she make if she wants her total score in her current
game to be at least as great as her score in the last game?
Answer:
Carla needs to make at least 11 two-pointer shots in the surrent game
Step-by-step explanation:
The first thing we can do is to find the difference between the number of points that Carla scored in her first game and her second game.
This will be 46 - 24 = 22 points difference
Carla needs to make a certain number of two-pointers to get at least the same score she had in her previous game.
We can get this number of two-pointers that needed to be made by dividing the difference in scores by 2
i.e number of two-pointer shots = 22/2 =11 shots
Therefore, Carla needs to make at least 11 two-pointer shots to be able to get the same score in her current game.
liam runs laps around a large grass field. each lap is 1/5
Answer:
Step-by-step explanation:
2 miles=10 laps
3 miles=15 laps
5 miles=25 laps
Hope it helps
i need help me wit this
Answer:
C: (1, 2.5)
Step-by-step explanation:
The point is not exactly on 2 or 3 on the y axis. So it is at 2.5. and when you read a graph you need to look at it from x to y so it should be C: (1, 2.5).
im so lost could you please help me
Answer:
hosta = 2 $,,, geranium = 5 $
Step-by-step explanation:
if we make two eq.
1) .... 54 = 2h + 10g
2) ...... 40 = 10h + 5g
if we multiply 1st by -5 it turns to
3) ..... -270 = -10h - 50g
cancel both 10h
add eq. .. becomes : -230 = -46g
g = 5
substitute in any find , that h = 2
Please ASAP!!!!! HELP
Answer:
♀️ i think if its a positive make it a negative and a negative make it a positive
Can somebody help me in these questions? Will be marked as brainlest! :)
Answer:
2. A(n) = 8+(n-1)-6
3. (-3-(-4))/(-6-8)
= -1/14
Answer:
see explanation
Step-by-step explanation:
(2)
The explicit formula for an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 8 and d = a₂ - a₁ = 2 - 8 = - 6 , thus
[tex]a_{n}[/tex] = 8 - 6(n - 1) = 8 - 6n + 6 = 14 - 6n
(3)
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (8, - 4) and (x₂, y₂ ) = (- 6, - 3)
m = [tex]\frac{-3+4}{-6-8}[/tex] = [tex]\frac{1}{-14}[/tex] = - [tex]\frac{1}{14}[/tex]
Follow the steps to solve for the variable in this two-step equation:
5x – 10 = 0 helps please n ty
Answer:
x = 2
Step-by-step explanation:
5x - 10 = 0
add 10 to each side
5x = 10
divide both sides by 5
x = 2
The difference of the square of a number and 28 is equal to three times that number find the negative solution
Answer:
The negative solution = x = -4
Step-by-step explanation:
Let the number be = x
The square of number = x²
The difference between the square of a number and 28 = x²-28
Given that the difference of the square of a number and 28 is equal to three times that number.
Thus, the equation becomes
[tex]x^2-28=3x[/tex]
subtract 3x from both sides
[tex]x^2-28-3x=3x-3x[/tex]
[tex]x^2-3x-28=0[/tex]
[tex]\left(x+4\right)\left(x-7\right)=0[/tex]
[tex]x+4=0\quad \mathrm{or}\quad \:x-7=0[/tex]
[tex]x=-4,\:x=7[/tex]
Thus, the negative solution = x = -4
Im having trouble with this question, can anyone help me?
Which table represents a nonlinear function?