You deposit $4000 in an account earning 4% interest compounded monthly. After 15 years, you will have approximately $7224.44 in the account.
To calculate the future value of an account with compound interest, we can use the formula:
Future Value = Principal * (1 + (Interest Rate / Number of Compounding Periods))^(Number of Compounding Periods * Time)
In this case, the principal (initial deposit) is $4000, the interest rate is 4% (or 0.04 as a decimal), and the compounding is done monthly, so there are 12 compounding periods in a year.
Substituting these values into the formula, we have:
Future Value = $4000 * (1 + (0.04 / 12))^(12 * 15)
Calculating this expression gives us:
Future Value ≈ $4000 * (1.003333)^180
Future Value ≈ $4000 * 1.806111
Future Value ≈ $7224.44
After 15 years, you will have approximately $7224.44 in the account, considering the given interest rate and compounding frequency.
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8c^2+7c how do i solve this
Answer: look at the picture
Step-by-step explanation: Hope this help :D
A factory-made 100,000 jars of peanut butter. 50,000 of the jars contained creamy peanut butter. What percentage of the jars of peanut butter was creamy?
Write your answer using a percent sign (%).
Answer:
50%
hope this answer helps you!
The answer to a statistical question includes variability in data. Choose ALL examples of statistical questions es A) How much do the animals on the farm weigh? B) How old are all the teachers at the school? How old is the oldest teacher at the school? D How much does the black and white puppy weigh? E) How many students ate lunch in the cafeteria today?
Answer:
A and C
Step-by-step explanation:NLE Choppa said so
Answer:
a and c
Step-by-step explanation:
which of the following could be factored by grouping?
a. wy+wz+xy-xz
b. wy+yz-wx+yz
c. wy+wz+xy+xz
d. wx+wz-wy+wv
Answer:
wy+wz+xy+xz
Step-by-step explanation:
C.) wy+wz+xy+xz could be factored by grouping.
What is factorization by grouping?Method of factorization by grouping the terms:
(i) From the groups of the given expression a factor can be taken out from each group.
(ii) Factorize each group.
(iii) Now take out the factor common to group formed.
= wy + wz + xy + xz
= w(y+z) + x(y+z)
= (w+x)(y+z)
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h = -16++64t + 960
A ball is thrown into the air with an upward velocity of 64 ft/s. Its height, h, after t
seconds is given by the function above,
When did the ball hit the ground?
Two Answer: h=64t+944 and look at the picture for the other answer and can I have Brainliest please I really need it.
Step-by-step explanation: Hope this help :D
who ever answer this get a brainliest and a thank you i need it answered asap
Answer:
a = 9
Step-by-step explanation:
For solve the problem we can use the Pythagorean theorem in this way
a^2 + (3√3)^2 = (6√3)^2
If we solve the equation we have
a^2 + 27 = 108
a^2 = 81
a = +/-9
we take only the the positive value because a length can’t be negative
a = 9
What would this answer be if i solved for x?
SOLVE FOR X
x + 67
x + 127
Answer:
X+67=0
X=-67
X+127=0
X=-127
Step-by-step explanation:
is the Square root of 18 divided by 3 a rational or irrational number? explain using full sentences
Answer:
irrational
Step-by-step explanation:
[tex]\sqrt{18}[/tex] = [tex]\sqrt{9}[/tex] · [tex]\sqrt{2}[/tex] which is the same as 3[tex]\sqrt{2}[/tex]
3[tex]\sqrt{2}[/tex] divided by 3 equals [tex]\sqrt{2}[/tex], which is irrational
A card is randomly selected from a standard deck of 52 cards.what is the probability that it is a 10 or a face card?
Answer:
In a deck of cards, there are 6 faced cards. So, the probability of drawing a faced card is 6 out of 52 cards. Thus, the probability of drawing a face card from a deck of cards is 6/52 = 3/26.
Step-by-step explanation:
Answer:
4/13
Step-by-step explanation:
There are 4 10 cards.
There are 12 face cards.
Probability of both:
4/52 + 12/52 = 16/52 = 4/13
Help plzz need the answer and that explanation plz don't send a file I need help with question 21!! thx so much
Answer:
No, they cannot be becuase the points are too different- no same numerical
values.
Step-by-step explanation:
A or B
Choose 1 answer:
Answer:
B
HOPE THIS HELPS
-Todo <3
Step-by-step explanation:
4 parts broken into 4 parts
Answer:
b
Step-by-step explanation:
since you are dividing by four, the graph must show 1/4 in for divisions.
Venus and Arian went berry picking. Venus picked 3 1/3 buckets of berries and Arian picked up 5 4/5 buckets. How many buckets of berries do they have altogether? If they need 11 full buckets, how many more buckets of berries do they need?
Answer: 9.13333333333
3 1/3+ 5 4/5=
Answer#2 1.86666666667
phoenix is a businessman who travels frequently he uses atms in many cities and does not write many checks he also uses direct deposit and has a savings account. Phoenix's bank is one of the four financial institutions described below which is most likely Phoenix's bank
Answer:
Bank 3
Step-by-step explanation:
No additional charges for automatic deposit and includes saving account.
whats the answer to this
Answer:
Maybe 5?
Step-by-step explanation:
If not im really sorry!!!!!!!
Write an equation in standard form for a line that is perpendicular to the line with an equation of y=3x-5 that passes through the point (8,5)
Answer:
[tex]gradient \: of \: y = 3x - 5 \: is \: 3 \\ m = 3 \\ for \: perpendicular \: m {}^{.} \times m = - 1 \\ 3m {}^{.} = - 1 \\ m {}^{.} = - \frac{1}{3} \\ from \: \: y = mx + c \\ at \: (8,5) \: \: 5 = - \frac{1}{3} \times 8 + c \\ c = - \frac{15}{8} \\ hence \: \: y = - \frac{1}{3} x - \frac{15}{8} [/tex]
helppppppppppppppppppppppppppppppp
Answer:
that link is a scam do not click on it
Step-by-step explanation:
there are people going around typing this link it guves your phone a virus
For which of the figure(s) below would we calculate VOLUME?
A: Figure A only
B:figure B only
C:figures A and B
D:figures B and C
You want to install a 1 yd wide walk around a circular swimming pool. The diameter of the pool is 23 yd. What is the area of the walk? Use 3.14 for π.
Answer:
415.48
Step-by-step explanation:
is the area
Find the volume of a baseball if the diameter is 2.86 inches
Answer:
8.1796
Step-by-step explanation:
2.86 x 2.86 = 8.1796
Find the exact length of each line segment.
AB=
GH=
Answer:
ab- 4.1
gh-31.36
Step-by-step explanation:
the straight line L passes through the points (0 , 12) and (10 , 4).
Find an equation of the straight line which is parallel to L and passes through the point (5 , -11).
Answer:
y = - [tex]\frac{4}{5}[/tex] x - 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 12) and (x₂, y₂ ) = (10, 4)
m = [tex]\frac{4-12}{10-0}[/tex] = [tex]\frac{-8}{10}[/tex] = - [tex]\frac{4}{5}[/tex] ← slope of line L
Parallel lines have equal slopes , then
y = - [tex]\frac{4}{5}[/tex] x + c ← is the partial equation
To find c substitute (5, - 11) into the partial equation
- 11 = - 4 + c ⇒ c = - 11 + 4 = - 7
y = - [tex]\frac{4}{5}[/tex] x - 7 ← equation of parallel line
The equation of the straight line which is parallel to L and passes through the point (5 , -11) will be;
⇒ y = - 4/5x - 7
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The straight line L passes through the points (0 , 12) and (10 , 4).
And, The equation of the straight line which is parallel to L and passes through the point (5 , -11).
Now,
Since, The straight line L passes through the points (0 , 12) and (10 , 4).
So, Equation of line L is,
⇒ y - y₁ = (y₂ - y₁) / (x₂ - x₁) (x - x₁)
⇒ y - 12 = (4 - 12) / (10 - 0) (x - 0)
⇒ y - 12 = - 8 / 10x
⇒ 10 (y - 12) = - 8x
⇒ 10y - 120 = - 8x
⇒ 10y = - 8x + 120
⇒ y = - 8/10x + 12
⇒ y = - 4/5x + 12
And, The equation of the straight line which is parallel to L and passes through the point (5 , -11).
So, We need to find the slope of the line.
Since, The slope of the parallel line is same.
Hence, Slope of the line is,
y = -4/5x + 12
m = dy/dx = - 4/5
m = - 4/5
Thus, The equation of line with slope 1- 4/5 is,
⇒ y - (-11) = - 4/5 (x - 5)
⇒ y + 11 = - 4/5 (x - 5)
⇒ 5 (y + 11) = - 4x + 20
⇒ 5y + 55 = - 4x + 20
⇒ 5y = - 4x + 20 - 55
⇒ 5y = - 4x - 35
⇒ y = - 4/5x - 7
Thus, The equation of the straight line which is parallel to L and passes through the point (5 , -11) will be;
⇒ y = - 4/5x - 7
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I Mark Brainliest ! No Bots Plz
Select All that apply
Answer:
i think its the second and third
Step-by-step explanation:
im not completely sure though so please dont get mad if its wrong
Oliver is performing an experiment by spinning a metal weight around on the end of a nylon thread. How far does the metal weight travel if it
completes 10 revolutions on the end of a 0.88 m thread?
Give your answer correct to one decimal place.
Answer:
27.7m
Step-by-step explanation:
Step 1
We find the Circumference of the nylon thread.
The formula = 2πr
The diameter of the thread = 0.88m
Radius = Diameter/2
= 0.88m/2
= 0.44m
Circumference = 2 × π × 0.44m
= 2.7646015352m
Approximately = 2.765m
Step 2
We calculate the distance
Number of revolutions = 10
Therefore, the Distance or how far the metal weight can travel =
Circumference of the wheel × Number of revolutions
= 2.765m × 10
= 27.65m
Approximately to 1 decimal place = 27.7m
HELPP!!!!!!!!!!!!!!!!
Answer:
D.4 3/4
Step-by-step explanation:
hope it helps you
If 9/10 is multiplied by 8/9 , will the product be greater than either of the two factors?
Answer:
No, both of the numbers are less than one whole and when you multiply them (I got 4/5) 4/5 is less than both of the factors.
Answer:
No
Step-by-step explanation:
It will not be because when a number is numtiplied by one, it stays the same. However, both of these are numbers less than 1, so the product will be smaller
The table represents some points on the graph of a linear function.
Х
-1
5
7
11
у
6
3
2.
o
What is the rate of change of y with respect to x for this function?
2
O
2
-2
Answer:
should i provide formula
Ben enters the water during a scuba dive. After 41 seconds of diving, his depth changes by - 29 feet. He wants to know his average change in depth each second. Write an expression for the average change in depth each second.
Answer:
-0.7073ft/sec
Step-by-step explanation:
Given the following
Distance covered by Ben = -29feet
Time taken = 41secs
Required
average change in depth each second(speed)
average change in depth each second = Distance/Time
average change in depth each second = -29/41
average change in depth each second = -0.7073ft/sec
Answer:
The answer is -29 divided by 41
1. Find the slant height of a square pyramid with a surface area of 57 square feet and a base perimeter of 12 feet
Answer:
Slant height = 8 feet.
Step-by-step explanation:
If the perimeter of the square base = 12 then each side of the base = 12/4
= 3 feet and its area = 3*3 = 9 ft^2
The area of one of the triangular sides = 1/2 * 3 * h where h is slant height.
So total surface area = 57 = 9 + 4 * 1.5h
9 + 6h = 57
6h = 48
h = 8 feet.
Santiago is trying to earn experience points in his newest game. He knows that finding
gophers will get him the most points. His number of experience points after his first attempt
can be represented by the linear equation - 24x + 2y = 900, where y represents Santiago's
total number of experience points and x represents the number of gophers he finds.
What is the slope of the line? What does this represent?
F The slope is 12; he earns 1 point for every 12 gophers he finds.
G The slope is 450; he earns 1 point for every 450 gophers he finds..
# The slope is 12; he earns 12 points for each gopher he finds.
J The slope is 450; he earns 450 points for each Igopher he finds.
Correct Answer is on the attached image
What percent of 80 is 32? Enter your answer in the box.
Answer: 40
Step-by-step explanation:
80 = 100%
40 = 50%
8 = 5%
5% x 4 = 20
8 x 4 = 32
32 = 20%