Ater 4 years, the first year student will have $270.60 in their savings account using compound interest and the given principal amount.
What distinguishes compound interest from simple interest?When money is deposited or borrowed, simple interest is calculated on the initial sum, whereas compound interest is computed on the initial sum plus any interest gained. Simple interest simply applies the interest rate once to the starting sum; compound interest applies it numerous times to both the principle and any accrued interest. When interest is paid on interest, compound interest often yields a bigger return on investment over time than simple interest.
The compound interest is given by the formula:
[tex]A = P(1 + r/n)^{(nt)}[/tex]
where,
A is the amount of money after 4 years
P is the initial deposit of $250
r is the annual interest rate of 2% = 0.02.
n = 1 and
t = the number of years = 4.
Substituting the values we have:
[tex]A = 250(1 + 0.02/1)^{(1*4})\\A = 250(1.02)^4\\A = 250(1.0824)\\A = 270.60[/tex]
Hence, after 4 years, the first year student will have $270.60 in their savings account.
Learn more about interest here:
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Find the Volume of the Grain Silo shown below that has a diameter of 20ft and a height of 40ft. Round your answer to the nearest hundredth . The top shape is a hemisphere and the bottom is a cylinder .
9514 1404 393
Answer:
14,660.77 ft^3
Step-by-step explanation:
The volume of a hemisphere-topped cylinder is given by the formula ...
V = πr^2(2/3r +h)
where r is the radius and h is the height of the cylindrical section. Of course, the radius is half the diameter, so this silo has a volume of ...
V = π(10 ft)^2(20/3 +40 ft) = 14,660.77 ft^3
__
Additional comment
The volume is 14,653.33 ft^3 if you use 3.14 for π.
Answer:14,660,77ft
Step-by-step explanation:
Sam found a wrecked car that could she could fix. She bought the car for
65% of the original price of $7200. What did she pay for the car? SHOW YOUR WORK
$11,076.92
$4,680
$2,520
$468
=======================================================
Work Shown:
x% = x/100
65% = 65/100 = 0.65
So 65% in decimal form is 0.65
We use this to find the amount Sam paid for the car
65% of 7200 = 0.65*7200 = 4,680 dollars
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Here's an alternative way to show your work
part/whole = percent/100
x/7200 = 65/100
x/7200 = 0.65
x = 0.65*7200
x = 4680
Ultimately we end up with 0.65*7200 and that's how we lead to the same answer as before. You could cross multiply like so
x/7200 = 65/100
x*100 = 7200*65
100x = 468000
x = 468000/100
x = 4680
So there are many paths to the same answer.
kevin got 100.000+6+100+4×10+3×1 points playing the video game.Ryan got seven hundred forty thousand. sixty four pounts playing the same game Who got the most points
Answer:
ryan
Step-by-step explanation:
The vertices of a triangle are P(2, –8), Q(1, –4), and R(4, –1). Name the vertices of P'Q'R' after a reflection over the x-axis.
Answer:
The coordinates of P'Q'R' are: P' (2,8), Q' (1,4) ,R'(4,1)
Step-by-step explanation:
We are given:
The vertices of a triangle are P(2, –8), Q(1, –4), and R(4, –1).
We need to:
Name the vertices of P'Q'R' after a reflection over the x-axis.
Reflection over the x-axis
The rule used for reflection over x-axis
P(x,y)= P'(x,-y)
The coordinates of x-axis remains same, while coordinates of y-axis become negative.
Now, finding coordinates of P'Q'R'
P (2,-8) -> P' (2,8)
Q(1,-4) -> Q' (1,4)
R(4,-1) -> R'(4,1)
So, the coordinates of P'Q'R' are: P' (2,8), Q' (1,4) ,R'(4,1)
2/3 equivalent fractions what is 2/3 equivalent fraction
Answer:
4/6
Step-by-step explanation:
Answer:
4/6
Step-by-step explanation:
1.1.4 Practice: Scale Drawings
Practice
Math 7 Sem 2
Points Possible:5
Name:
Date:
Tips for Success
Read the assignment carefully and make sure you answer each part of the question or questions.
Check your work when you're done.
Your Assignment
Jason and Adam are using a kit to build their own electronics board for a computer project. They use a scale drawing included in the instructions to help build the board.
Jason will use the scale factor to find the board's actual length and width, then multiply those dimensions to find the board's area.
Adam says he knows another way.
Answer the questions to show how Adam could find the area of the scale drawing, and then use this strategy to find the area of the electronics board.
1. What is the area of the board shown on the scale drawing? Explain how you found the area.
Write your answer in the space below.
2. How can Adam use the scale factor to find the area of the actual electronics board? Remember, he uses a different method than Jason.
Write your answer in the space below.
3. What is the area of the actual electronics board?
Write your answer in the space below.
Answer:
so over alll I got 1800
Step-by-step explanation:
for number 1
Last year, a stereo system sold for $450. This year, it sold for $382.50. What is the percent of change from last year to this year?
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+
X
с
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Answer:
15% decrease
382.50-450 divided by 450 times 100
3 3/5 x (-8 1/3) =
Please help and quick
Answer:
3 3/5 x (-8 1/3) = -30/1
= -30
Step-by-step explanation:
Answer:
The chosen topic is not meant for use with this type of problem. Try the examples below.
(
x
−
1
)
(
x
+
2
)
(
2
x
+
3
)
(
x
2
−
x
−
1
)
(
0
)
(
x
+
3
)
Step-by-step explanation:
PLEASE HELP IM BEING TIMED
Which equation results from adding the equations in this system?
-8x+8y = 8
3x-By=-18
A: 5X=-10
B: 5x = 26
C: -5X = 26
D: -5x=-10
Step-by-step explanation:
You have miscopied the second equation as it contains a third variable B when there isn't a B in the answers.
Please correct it for assistance
The height of 6 pictures placed end to end on a bulletin board is 57 centimeters. All of the pictures are the same height . How tall is each picture ?
Answer:
9.5cm
Step-by-step explanation:
57 divided by 6=9.5
Answer:
9.5
Step-by-step explanation:
Divide 57 by 6 and you will get 9.5
NNED HELP ASAP! WILL MARK BRAINLIEST IF CORRECT! Line B has the equation y=3x–4. Write the equation of the image of B after a dilation with a scale factor of 2, centered at the origin. Write your answer in slope-intercept form.
y=
Answer:
y=3x-2
Step-by-step explanation:
all you need to do is divide the coordinates of the x intercept and y intercept by two
round 25395 nearest hundred
Answer:
25,400
Step-by-step explanation:
round the three in the hundreds place up since to the right there is a 9
Hey there!
The answer to your question is 25,400
To round to the nearest hundred, you would be rounding the last three numbers, since that represents a "hundred". So, we look at those numbers, and we see what hundred it is closer to. "395" is closer to 400 than 200, so your answer would be 25,400.
Hope it helps! Have a great day, and good luck!
A company is allowed to interview candidates until two qualified candidates are found. But budget constraints dictate that no more than 10 candidates can be interviewed. List the sample space.
Answer:
Kindly check attached picture for sample space design
45 ways
Step-by-step explanation:
Number of qualified candidates to be chosen = 2
Number of candidates to be interviewed = 10
Combination formula :
nCr = n! / (n-r)! r!
10C2 = 10! ÷ (10 - 2)!2!
10C2 = 10*9 / 2 * 1
10C2 = 90/2
10C2 = 45 different samples
Our sample space will contain 45 different samples
I will give brainiest to whoever answers correctly !!
Answer:
14.0
Step-by-step explanation:
14.096 rounded to the nearest tenth
Please help fast!!!!
Answer:
BGHjf, it skf skoad 78, then mutli 0867, then you'll get your answer!! 657.
Step-by-step explanation:
Write each fraction as a decimal
3 15/44
PLEASE HELP I NEED THIS ANSWER
Answer:
E
Step-by-step explanation:
Since the value of x is 10 and the value of y is -2, we can plug it into the equation for E. -2 = -1/5(10) which makes it -2=-2 which is true.
Step-by-step explanation:
For every 10 units across (0 to 10),
the line decreases by 2 units (0 to -2).
Slope of line
= Rise / Run = (-2) / (10) = -1/5.
Also the y-intercept of the line is 0
as it passes through the origin.
Hence the equation is y = -1/5 x. (E)
Place these numbers in order from small to big. 35% , 36/100, 4/25, 0.85, 2.6, 0.1
Answer:
0.1, 4/25, 35%, 36/100, 0.85, 2.6
Step-by-step explanation:
HELP ME ANSWER THIS ONE QUESTION ASAP, PLEASE IM BEGGING YOUU
Answer:
16.25
Step-by-step explanation:
What's common between the values 13 and 6.5? Well, 13 divided by 2 is 6.5. To find the other side you simply divide 5 by 2... 2.5. Then multiply 6.5 by 2.5 to get your final answer of 16.25.
if you do online classes for money hit me up
ill pay you 200 I'm not even joking around
11/20
A box contains 5 red marbles, 6 white marbles, and 4 blue marbles. Find
P(red or blue)
Answer: 3/5
Step-by-step explanation:
Probability is the number of favorable outcomes divided by the total number of outcomes. In this case, there are 5+4+6, or 15, possible outcomes, because there is one selection from 15 marbles. Therefore, the probability of choosing a blue marble is 4/15, and the probability of choosing a red marble is 5/15. Add these together to get the probability of choosing a red or blue marble:
(4/15)+(5/15)=9/15
9/15 simplifies to 3/5.
y = - x + 4 y = 2x - 8
Answer:
{y,x} = {0,4}
Step-by-step explanation:
// Solve equation [2] for the variable y
[2] y = 2x - 8
// Plug this in for variable y in equation [1]
[1] (2x-8) + x = 4
[1] 3x = 12
// Solve equation [1] for the variable x
[1] 3x = 12
[1] x = 4
// By now we know this much :
y = 2x-8
x = 4
// Use the x value to solve for y
y = 2(4)-8 = 0
-4b + 8c + 12 - 8b - 2c + 6. what is the value of the expression when b=2 and c= -3? Enter your answer.
Answer:
The answer is negative 24.
Step-by-step explanation:
(−4)(2)+(8)(−3)+12−(8)(2)+(−2)(−3)+6
=−24
I hope this helps you with your question
Find the intercepts of
y= 2x -4
Answer:
y intercept is -4
x intercept is 2
The graph of the function f(x) = (x + 2)(x - 4) is shown.
Answer:
What is the y-intercept of the quadratic function
f(x) = (x - 6)(x - 2)?
(0,12)
Sarah has 782 stickers in her sticker book. It took 8 stickers to fill one page. She filled each page before putting stickers on another page. How many full pages of stickers does Sarah have
Answer:
97
Step-by-step explanation:
if there are a total of 782 stickers and 8 stickers fill one page the number of full pages can be found by dividing 782 by 8. Doing this gives us 97.75, but since the question is asking us about full pages the answer if 97 full pages of stickers.
Suppose you saved $300 dollars from a summer job. If school starts September 1, can you afford a cell phone data plan of $29.95 per month for the next year(until next September 1)?
Answer:
No
Step-by-step explanation:
Given that:
Amount saved = $300
Monthly data cost = $29.95
Number of monthly data that can be done from saving :
= amount saved / monthly data cost
= $300 / $29.95
= 10.016694
Hence, saving can only last for 10 months of data subscription.
Hence it can't last till September 1, if the following year, which is about 12 months
using partial quotients 5,166 divide by 42
Answer: 123
Step-by-step explanation:
X=2 And x+3^2 I do not understand
Answer:
11
Step-by-step explanation:
Pulg in 2 into the equation x+3^2
I dont know if theres supposed to be a parenthese like [tex](x+3)^{2}[/tex] but if there isn't then it would be 2+[tex]3^{2}[/tex] which is 2+9
if there is parenthese... it would be:
[tex](2+3)^{2}[/tex] = [tex](5)^{2}[/tex]=25
I will give brainiest to whoever answers correctly !!
Answer:
She will have to pay back the principal amount of $28,000 plus $728.00 in interest for a total of $28,728.00
Step-by-step explanation:
Interest = principal x interest rate x time period
Interest = 28,000 x .013 x 2
Interest = $728
Total payback amount = principal + interest
Total payback amount = 28000 + 728
Total payback amount = $28,728.00
I hope this helps!
-TheBusinessMan