Answer:
$95.5090 must be deposited monthly
Step-by-step explanation:
From the information given:
The annual interest rate (r) = 4.2% = 0.042
Let assume that an amount Y is deposited, then after one month, it will increase to:
[tex]Y ( 1+ \dfrac{0.042}{12})[/tex]
The total amount after 4 years will be:
[tex]= Y ( 1+ \dfrac{0.042}{12})^{48}+Y ( 1+ \dfrac{0.042}{12})^{47} +Y ( 1+ \dfrac{0.042}{12})^{46} +...+ Y ( 1+ \dfrac{0.042}{12})[/tex]
[tex]= Y ( 1.0035)^{48}+Y ( 1.0035)^{47} +Y( 1.0035)^{46} +...+ Y( 1.0035)[/tex]
Using the sum of a geometric progression:
[tex]= Y (1.0035) \dfrac{ (1.0035^{48}-1)}{(1.0035-1)}[/tex]
[tex]= Y (1.0035) \dfrac{ (1.0035^{48}-1)}{0.0035}[/tex]
The above amount is then equal to $5000
i.e
[tex]= Y (1.0035) \dfrac{ (1.0035^{48}-1)}{0.0035} = 5000[/tex]
[tex]Y = \dfrac{5000\times 0.0035}{(1.0035)(1.0035^{48}-1)} \\ \\ \mathbf{Y = \$95.5090}[/tex]
wich value from the set ( 0, 1/2, 2, 4) makes the equation 6-4x=4 true
Answer:
1/2
Step-by-step explanation:
6 - 4(0) = 6 (incorrect answer)
6 - 4(1/2) = 4 (correct answer)
6 - 4(2) = -2 (incorrect answer)
6 - 4(4) = -10 (incorrect answer)
I hope this helps :)
Using the product rule of differentiation , evaluate the derivative of
g(x) = (2x3-5x)(7x+9)
Answer:
48987~اايلممماالمنهلبه
HELP ASAP PLEASE EXPLAIN THOUGH
Answer:
35 times, or D
Step-by-step explanation:
A bag contains 5 red marbles, 6 blue marbles, 3 green marbles, 4 black marbles, and 2 yellow marbles. A marble will be drawn from the bag and replaced 100 times. What is a reasonable prediction for the number of times a green or black marble will be drawn?
A quick lesson on probability:
The probability of an event is: (the number of ways what you want can happen) / (total number of outcomes possible). For example, in a coin flip, there is 1 way to get heads, and 2 possible outcomes. Thus, the possiblity of flipping a coin and getting heads is:
(1 way to get heads) / (2 possible outcomes) = 1/2
Then, if we were to flip the coin 100 times, we would expect about 1/2 of the times to be heads, so we should expect heads 50 times.
On to the problem.
There are 3 green marbles and 4 black marbles, so there are 7 ways to draw a green or black marble.
Then, there are 5 + 6 + 3 + 4 + 2 = 20 possible outcomes.
Using the formula to find the probability, substitute the values we just found.
(the number of ways what you want can happen) / (total number of outcomes possible) =
(7 ways to draw a green or black marble) / (20 marbles that can be drawn) = 7/20 chance of getting a green or black marble.
Then, because there is a 7/20 chance of getting what we want, and there are 100 draws, we can say that an we should get green or black
7/20 * 100 = 35 times, or D
Feel free to ask any questions! :)
A right triangle has one side that measures 4 in. The angle opposite that side measures 80o.
What is the length of the hypotenuse of the triangle? Round to the nearest tenth.
3.9 in.
4.1 in.
22.7 in.
23.0 in.
Answer:
The answer is option B. 4.1 !
Step-by-step explanation:
Hop this helps :)
Brainliest would be greatly appreciated :D
Find the total surface area of the rectangular prism in square millimeters.
Answer:
168
Step-by-step explanation:
18 3/8f = -29 4/7 please help
Answer:
f=-552 /343 or 5=1 and 209/343
Step-by-step explanation:
Please help simplify it.
Answer:
[tex]-\frac{39}{4}a + \frac{52}{5}[/tex]
Step-by-step explanation:
[tex]-\frac{60}{6}a + \frac{84}{8} + \frac{1}{4}a - \frac{1}{10}[/tex]
= [tex]-\frac{120}{12}a + \frac{3}{12}a + \frac{420}{40} - \frac{4}{40}[/tex]
= [tex]-\frac{117}{12}a + \frac{416}{40}[/tex]
= [tex]-\frac{39}{4}a + \frac{52}{5}[/tex]
I hope this helps!! ^-^
EMERGENCY!! NEED QUICK
solve for y to the nearest degree
Answer:
27 degrees
Step-by-step explanation:
SinY = 5/11
Sin^-1(5/11) = y
y = 27.03
to the nearest degree is 27
Please help me quickly
Step-by-step explanation:
5: -7=x,-1=y so (-7,-1)
6. 7=x,8=y so (7,8)
Hope that helps :)
Weekly wages at a certain factory are
normally distributed with a mean of
$400 and a standard deviation of $50.
Find the probability that a worker
selected at random makes between
$300 and $350.
Answer:
0.136
Step-by-step explanation:
If you have a calculator with statistical functions, this problem is straightforward.
Use the normcdf function as follows:
normcdf(300,350,400,50) = 0.136
This result is the probability that a worker makes between $300 and $350 per week: 0.136
WILL GIVE BRAINLIEST PLS HELP ASAP A debate club has 16 members. Two members are randomly
chosen for a debate. What is the probability that you and your
friend are chosen for the debate? Write your answer as a fraction
in simplest form.
Answer:
1/120
Step-by-step explanation:
The probability that one of us is chosen first is 2/16. Now that one of us has been chosen there are 15 left. The probability that the other is chosen is 1/15. The probability that both of us are chosen is 2/16 * 1/15 = 1/120.
Hope this helps!
What is the interest if you borrow $100 for 6 years at a semi-annual (6-month) interest rate of 8%?
Answer:
100 for 6 years a 6 mnt i.r of 8%
100×6÷12
=50
50÷12×6
25 of 8%
25×8÷100
2 ans..
please help i don't know what I'm doing
Answer:
11 is the answer
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
to find one of the addend
subtract another one of the addend by the sum
eg : 9 + __= 20
20 - 9 = 11
now we can check
9 + 11 = 20
hope this helps
thanks bye
which 2 or 3 are they pls help
The answer is B.
z x 1 = z
z x 0.37 = 0.37z
= z + 0.37z
:)
will make brainliest
Answer: The 3rd one.
Step-by-step explanation:
pweeez help me :3
How long does it take for the ball to reach its maximum height (or its vertex)?
A. 4 seconds
B. 2.5 seconds
C. 0.6 seconds
D. 2 seconds
Answer:
The vertex, (1.5, 40), tells us that it takes 1.5 seconds for the ball to reach its maximum height of 40 feet.
Step-by-step explanation:
...i think..
From her home, Glera traveled 5.8 miles north to the grocery stare, then 2.1 mlles west to the library. What is the distance thom her home to the library
Answer:
6.16 miles
Step-by-step explanation:
When solving word problems like these, I like to start by drawing a picture.
So, Glera starts at her home and moves north by 5.8 miles. Then, she walks west by 2.1 miles to the library. The problem wants you to find the distance from her home to the library.
I've attached a drawing I made to help me visualize the problem. The distance from her home to the library is the hypotenuse of the triangle. To solve for it, you would use the equation [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex].
a and b are the sides of the triangle, and c is the hypotenuse.
[tex]5.8^{2}[/tex] + [tex]2.1^{2}[/tex] = [tex]c^{2}[/tex]
33.64 + 4.41 = [tex]c^{2}[/tex]
38.05 = [tex]c^{2}[/tex]
To find c, you would take the square root of 38.05, which is about 6.16 if you use a calculator.
So, the distance from her home to the library is 6.16 miles!
Now use the length of the vertical line segment and the horizontal line segment to find the distance between G and H. Substitute these values in the equation for the Pythagorean Theorem.
Answer:
please first tell me the numbers written
Bacteria colonies can triple in size every 4
days. If you start with 40 bacteria
microorganisms, how large would the
colony be after 20 days?
First, complete the equation:
Future Amount = 40(1+2)5
Now solve.
Future Amount = [ ? ] microorganisms
Answer:9720
Step-by-step explanation:
there are four different categories / types of slope. write whether the slope is undefined, positive, negative, or zero.
Find 24½ % of 400 m.
Answer:
98 m
Step-by-step explanation:
A 1/2 is the same as 0.5 and % means out of a 100
[tex] \frac{24.5}{100} \times 400 \\ = 98[/tex]
Answer:
98
Step-by-step explanation:
24.5% = 0.245
400 x 0.245 = 98
Need help with this please will give you the brainliest
Answer:
5m
Step-by-step explanation:
The volume doesnt count so do height × width
Answer:
SA = 50
Step-by-step explanation:
Formula for surface area of a rectangular prism : A=2(wl+hl+hw)
hope this helps :)
Angela buys a bracelet that was regularly priced for $150. She uses a coupon and gets 30% off. How much did Angela save?
A. 105
B.45
C.214.29
D.500
A factory has 88 employees. 50% of the employees work part-time. How many of the factory employees work part-time?
Answer: 44
Step-by-step explanation:
88/2 = 44
Answer:
44 because 50% of 88 is 44
Step-by-step explanation:
88 / 100 * 50
0.88 * 50
44
or in this case when it is 50% just do:
88 / 2
Mark me as brainliest if you want.
There are 11 swimmers competing in a race. Prizes are awarded for the swimmers who finish in first, second, and third place. How many different ways can the swimmers finish first, second, and third? *
Answer: 11·10·9 = 990 ways
Step-by-step explanation: first can be chosen 11 different way, second 10 different way and third 9 different way
Answer:
Answer: 11·10·9 = 990
Step-by-step explanation:
HOPE THIS HELPS!! :)
30. Write and solve an equation for the
following situation:
Marshall earns a salary of $36,000, and each
year he receives a $4,000 raise. Jim earns a
salary of $51,000, and each year he receives
o $1,500 raise. How many years will it take
before Marshall and Jim earn the same
salary?
Equation:
Volue of x:
Answer:
equation: 36000 + 4000x = 51000 + 1500x
value of x: 6
Step-by-step explanation:
Marshall:
36000 + 4000x
Jim:
51000 + 1500x
36000 + 4000x = 51000 + 1500x
360 + 40x = 510 + 15x
25x = 150
x = 6
Answer:
equation: 36000 + 4000x = 51000 + 1500x
value of x: 6
PLEASE PLEASE PLEASE I WILL LOVE YOU FOR LIFE
Answer:
x = 1
Step-by-step explanation:
From ΔABC and ΔDEF,
m∠C = m∠F [Given]
AC = DF [Given]
BC = EF [Given]
Therefore, ΔABC ≅ ΔDEF [By SAS property of congruence]
AB = DE [CPCTC]
2x - 1 = 5x - 4
5x - 2x = 4 - 1
3x = 3
x = 1
A large group of friends needs to call a taxi service to get home. The taxi cab company charges $2 per mile
Answer:
36 dollars per person and they all will pay 2 dollars each the large group will hit a wall
Determine if the graph is proportional or non proportional and explain why
Answer: Is there supposed to be a picture??? If there is there isn't one
Step-by-step explanation:
what if we are given 7:11? Can we write 2 equivalent ratios?
Answer:
yes we can write as follows :-
14:22
21:33
28:44
hope it helps