9514 1404 393
Answer:
$11,715.65
Step-by-step explanation:
The applicable formula is ...
FV = P(1 +r/n)^(nt)
where principal P earns interest at rate r compounded n times per year for t years.
FV = $9500(1 +0.042/12)^(12·5) = $9500(1.0035^60) ≈ $11,715.65
The account will hold $11,715.65 after 5 years.
Find the time it takes for $6,400 to double when invested at an annual interest rate of 19%, compounded
continuously.
years
Find the time it takes for $640,000 to double when invested at an annual interest rate of 19%, compounded
continuously.
years
Give your answers accurate to 4 decimal places.
Question Holn Video M Message instructor
9514 1404 393
Answer:
3.6481 years
Step-by-step explanation:
The doubling time is not a function of the amount invested. It can be found by considering the account balance multiplier:
2 = e^(rt) = e^(0.19t)
Taking logs, we can solve for t:
ln(2) = 0.19t
t = ln(2)/0.19 ≈ 3.6481431
Rounded to 4 decimal places, the doubling time is 3.6481 years, for either balance.
PLEASE HELP
-6/5k=12
Show your work in details if you can, I have a hard time understanding this.
[tex]\begin{cases}\large\bf{\green{ \implies}} \tt \: - \frac{6}{5} \: k \: = \: 12 \\ \\ \large\bf{\green{ \implies}} \tt \: - \frac{6k}{5} \: = \: 12 \\ \\ \large\bf{\green{ \implies}} \tt \: - 6k \: = \: 12 \: \times \: 5 \\ \\ \large\bf{\green{ \implies}} \tt \: - 6k \: = \: 60 \\ \\ \large\bf{\green{ \implies}} \tt \: k \: = \: \cancel\frac{60}{ - 6} \\ \\ \large\bf{\green{ \implies}} \tt \: k \: = \: - 10 \end{cases}[/tex]
What will be the reciprocal of 4/9 × 45/36
Answer:
[tex]\frac{9}{5}[/tex]
Step-by-step explanation:
[tex]\frac{4}{9}[/tex] × [tex]\frac{45}{36}[/tex]
= [tex]\frac{4}{9}[/tex] × [tex]\frac{5}{4}[/tex] ( cancel 4 on numerator/ denominator )
[tex]\frac{5}{9}[/tex]
Given a number n then its reciprocal is [tex]\frac{1}{n}[/tex]
Then the reciprocal of [tex]\frac{5}{9}[/tex] is
[tex]\frac{1}{\frac{5}{9} }[/tex] = [tex]\frac{9}{5}[/tex]
40pts and a brainliest to the person who can help me with this stock problem. PLEASE show all steps in detail so I can learn how to do this!
What is the rate of return when 20 shares of Stock A, purchased for $30/share, are sold for $710? The commission on the sale is $6. Give your answer as a percent rounded to the nearest tenth.
Answer:
Rate of Return is 14.8%
Step-by-step explanation:
We know that 20 shares of Stock are purchased for $30 per share.
This gives us a total value of: 20 × 30 = $600.
Now, the shares are sold for $710 with a commission sale of $6. This means the final money going to the seller is; 710 – 6 = $704.
Thus, the rate of return percentage is = (704 – 600)/704) × 100% = 14.7727%
To the nearest tenth gives us 14.8%
According to the video, this career offers a good opportunity to do what?
O supervise other workers
O learn an employer's business
Obecome physically fit
Obuild friendships with customers
Answer:
The correct answer is "learn an employers business"
Step-by-step explanation:
Supervising other workers isn't their job
Becoming physically fit wouldn't help them with that job
Building friendships with customers isn't part of the job
According to the video, this career offers a good opportunity to learn an employer's business. Therefore, the correct option is option B.
What is career?There are two definitions of a career. It's common to use the word "career" to describe a profession, occupation, trade, or vocation. The work you perform for a livelihood is defined by your job, which can range from occupations requiring substantial education and training to ones that can be performed using a high school certificate and then a desire to gain knowledge.
Work as a doctor, attorney, teacher, carpenter, veterinarian assistant, electrician, cashier, instructor, or hairstylist is an example of a career. According to the video, this career offers a good opportunity to learn an employer's business.
Therefore, the correct option is option B.
To know more about career, here:
https://brainly.com/question/30104104
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find the first quartile form the following data 73,58,39,46,61,52,32
Answer:
----------------------------
quartile first = 73
----------------------------
Tina invests $3,700 into an account with a 4.4% interest that is compounded quarterly. How much money will she have in
this account if she keeps it for 8 years?
Round your answer to the nearest cent.
Do NOT round until you have calculated the final answer.
Answer:
bacoot anjing
lo siapa hah kan bisa jawab sendiri sok sok minta bantuuuu
Step-by-step explanation:
maluiiin
Answer:
$5250.96
Step-by-step explanation:
Future value= Present value(1+r)^n
=3700(1+0.011)^32
r=4.4÷100÷4
n=8×4
Write the equation in slope-intercept form of a line is parallel to y=2x+5 and has a y-intercept of -7
Answer:
y = 2x - 7
Step-by-step explanation:
Parallel lines have the same slope so only the y-intercept is different. Therefore nothing is changed between the two equations except the y-intercept is -7.
Find the approximate area of the shaded region below, consisting of a right triangle with a circle cut out of it. Use 3.14 as an
approximation for
90 m
40
2,794 square meters
1,256 square meters
974 square meters
O 6,844 square meters
The approximate area of the shaded region is 2794 m². The correct option is the first option 2794 square meters
From the question, we are to determine the approximate area of the shaded region
The area of the shaded region = Area of the triangle - Area of the circle
Area of triangle = 1/2 × base × height
Area of the triangle = 1/2 × 90 × 90
Area of the triangle = 4050 m²
Area of a circle = πr²
Where r is the radius
In the diagram,
Diameter = 40 m
∴ Radius = 40/2 = 20 m
Thus,
Area of the circle = π × 20²
Area of the circle = 3.14 × 400
Area of the circle = 1256 m²
Therefore,
The area of the shaded region = 4050 m² - 1256 m²
The area of the shaded region = 2794 m²
Hence,
The darkened area covers about 2794 m²
Learn more on Calculating area here: https://brainly.com/question/14989383
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Richland's Real GDP per person is #10b and poorland's Real GDP per person is #5b. However, Richland's Real GDP per person is growing at 1% per year and poorland's Real GDP per person is growing at 3% per year. Compare real GDP per person in the two countries after ten years and after twenty years. Approximately how many years will it take poorland to catch up with Richland?
Answer:
after 5 years, rich : poor = 11.0 : 6.7after 10 years, 12.2 : 9.035.3 yearsStep-by-step explanation:
It is convenient to let a graphing calculator show the answers to these questions.
The exponential equation modelling the growth will be of the form ...
f(x) = (initial value) × (1 +growth rate)^x
Richland's GDP/person can be modeled by r(x) = 10·1.01^x
Poorland's GCP/person can be modeled by p(x) = 5·1.03^x
The attached graph shows values for x=5, 10 and r(x)=p(x).
It will take about 35.3 years for Poorland to catch up.
How far from "0 is the green rectangle?
Which inequality is true?
O A. 1 2 > 2
OB. 8 - T > 5
O C. 1071 > 30
O D. 1+4<7
Answer:
true
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
A
[tex]\frac{12}{2\pi }[/tex] ≈ 1.91 < 2
B
8 - π 8 - 3.14 = 4.86 < 5
C
10π ≈ 31.42 > 30 ← True
D
π + 4 = 3.14 + 4 = 7.14 > 7
Option C is a true inequality
solve similar triangles (advanced)
solve for x
Answer:
27/2 =x
Step-by-step explanation:
We can write a ratio to solve
3 2
----- = ---------
3+x 11
Using cross products
3*11 = 2(3+x)
33 = 6+2x
Subtract 6 from each side
33-6 = 6+2x-6
27 = 2x
27/2 = 2x/2
27/2 =x
Given:
AD
diameter of Circle P.
Dec
B
A
If m < 1 = 30°, then m AB
15
30
60
Answer:
The measure of an arc is the size of the corresponding central angle, so angle 1 for AB,
Answer: B 30
PLEASE HELP ILL GIVE BRAINLIEST !!!!
Answer:
y=3x-2
Step-by-step explanation:
The slope of the equation is (-2-(-5))/(0-(-1))=3. The y intercept is - 2. So y=3x-2
10-d=34-5d[tex]10-d=34-5d[/tex]
Answer:
d = 6
Step-by-step explanation:
10 - d = 34 - 5d
add d to both sides to make all the d's on one side
10 = 34 - 4d
subtract 34 from both sides to isolate the d and its coefficient
-24 = -4d
divide both sides by -4 to isolate d
d = 6
HEYYYYYYYYYYYYYYY
PLEASE HELP AND BE CORRECT ANSWER AT THE BOTTOM
TELL ME WHERE TO PUT THE POINTS
Answer:
y = -3 (you have to draw an horizontal line that passes for the point (0,-3)
Step-by-step explanation:
We have to find the middle points of the segments that unite the corrispettive points.
We are lucky because the images of the points have the same x coordinate of the original ones, so we have just to find the y coordinates.
Segment CC‘
(y1 + y2)/2 = (-1-5)/2 = -3
Segment AA’
(0-6)/2 = -3
Segmet BB’
(1-7)/2 = -3
Segment DD’
(1-7)/2 = -3
In conclusion we can say that the points of the reflection have all the y coordinate equal to -3.
the line is horizontal and its equation is : y = -3
Simplify the product. 7(–9)
Answer:
have a great day
god is great
A hot air balloon descends 200 feet per
minute from an altitude of 1000 feet. Write a expression
In a fruit punch drink, the 3
ingredients are apple juice, orange
juice and cranberry juice. If 1/4 of the
drink is apple juice and2/5 is orange
juice then write the ratio of
cranberry juice to apple juice to
orange juice in its simplest form.
Answer:
question is confusing
If the sum of two numbers is 4 and the sum of their squares minus three times their product is 76, find the numbers.
I'll be referring to each of these numbers as x and y.
x + y = 4
(x^2) + (y^2) - 3(x)(y) = 76
x = 4 - y
(4 - y)^2 + (y^2) - 3(4 - y)(y) = 76
(4 - y)(4 - y) + y^2 - (3y)(4 - y) = 76
16 - 4y - 4y + y^2 + y^2 - 12y + 3y^2 = 76
16 - 20y + 5y^2 = 76
5y^2 - 20y - 60 = 0
y^2 - 4y - 12y = 0
(y - 6)(y + 2) = 0
y = 6 or -2
x = 4 - 6 = -2
x = 4 - - 2 = 6
As you can see, we got the same numbers for both x and y, -2 and 6. Therefore, the two numbers are -2 and 6. But, we can check our work to ensure that the answer is correct.
x = -2
y = 6
6 - 2 = 4
4 = 4
(-2)^2 + (6^2) - 3(-2)(6) = 76
4 + 36 - 3(-12) = 76
40 + 36 = 76
76 = 76
Hope this helps!
Answer:
X and y = -2 or 6
Step-by-step explanation:
Determine the dimension of the vector space. M4,2
STEP 1: Determine the number of linearly independent vectors needed to span M4,2. The basis for M4,2 has linearly independent vectors.
STEP 2: Using the result from Step 1, determine the dimension of M4,2.
Answer:
STEP 1
M_{4,2} is set of 4x2 matrices hence each matrix has 4*2=8 entries. Each entry can be filled independently.
Hence its basis has 8 linearly independent vectors.
STEP 2
Dimension= cardinality of basis = 8.
There is a language with 12 distinct letters. How many words that are less than four letters long can possibly be formed? (Assume any combination of letters is valid and letters can be repeated). Can you help me out with this one?
Answer:
1884
Step-by-step explanation:
1)If you hear the condition "less than four letters" it means that each word can consist of 3,2 or 1 letter. Firstly, consider the easiest situation with the word from one letter. There are 12 letters, so there are 12 words from one letter.
Then the words from two letters. The first letter of such a word can be chosen in 12 means(because 12 letters are available), then the second letter can be chosen in 12 means too. 12*12=144 words with 2 letters. (Multiplying, not adding, because each two words form one combination).
Then for the words from three letters, use the same rule, 12 means for the first letter, 12 means for the second letter, 12 means for the third letter. 12*12*12=1728 words.
Having particular words from 1,2,3 letters add them to get total quantity of words: 12+144+1728=1884words,that is the answer.
An unknown number becomes 30 when rounded to the nearest ten. Which could NOT be the unknown number?
A. 24
B. 25
C. 28
D. 31
Answer:
A. 24
Step-by-step explanation:
Five and above rounds up
so 25,26,27,28,29 rounds up to 30
We leave it alone when 4 or less
34,33,32,31,30 remains at 30
24 would not round to 30
how do you change a hot air baloon descends 200 feet per minute from a altitude of 1000 feet into a algebraic expression.
find the surface area of the prism
Answer:
Base area=5*12=60
Height is 4
Perimeter or the base is 2*(12+5)=34
Surface area is 2B+Ph=120+136=256
Do this please helpppp
Answer:
y = [tex]\frac{20}{9}[/tex]
Step-by-step explanation:
Since the figures are similar then the corresponding sides are in proportion, that is
[tex]\frac{JH}{PQ}[/tex] = [tex]\frac{FM}{ST}[/tex] , substitute values
[tex]\frac{6}{4}[/tex] = [tex]\frac{7}{3y-2}[/tex] ( cross- multiply )
6(3y - 2) = 28
18y - 12 = 28 ( add 12 to both sides )
18y = 40 ( divide both sides by 18 )
y = [tex]\frac{40}{18}[/tex] = [tex]\frac{20}{9}[/tex]
Answer:
20/9
Step-by-step explanation:
since the 2 are similar,
JH/PQ = FM/ST
6/4 = 7/(3y-2)
6(3y-2) = 7*4
18y-12=28
18y = 40
y = 40/18 = 20/9 = 2 2/9
Will give brainliest answer
Answer:
Step-by-step explanation:
A(1) is the amount after 1 decade.
A(0.1) is the amount after 1 year.
Every year, the amount of CO₂ increases by a factor of 1.06^(0.1) ≅ 1.0058
Find the common ratio of the geometric sequence: 1, 1/3, 1/9, 1/27,…
Answer:
1/3
Step-by-step explanation:
Next term ÷ Previous term = common ratio
Answer:
Hello,
Answer: q=1/3
Step-by-step explanation:
[tex]u_1=1\\u_2=\dfrac{1}{3} =1*\dfrac{1}{3}\\u_3=\dfrac{1}{9}=u_2*\dfrac{1}{3}=u_1*(\dfrac{1}{3})^2\\u_4=\dfrac{1}{27}=u_3*\dfrac{1}{3}=u_1*(\dfrac{1}{3})^3\\\\Common\ ratio\ q=\dfrac{1}{3}[/tex]
find the measure of the angle indicated
Answer:
Step-by-step explanation:
59°
