-. A businessman plans to retire in 30 years. As part of his retirement plan, he has
invested $8,000 in a public utility bond that will increase his investment at a rate of
6% per year, compounded annually. Which is the best approximation of the value of
the investment after 30 years?
Answer:
A = $45948
Step-by-step explanation:
Given the following data;
Principal = $8000
Interest rate = 6% = 6/100 = 0.06
Time = 30 years
To find the future value, we would use the compound interest formula;
[tex] A = P(1 + \frac{r}{100})^{t}[/tex]
Where;
A is the future value.
P is the principal or starting amount.
r is annual interest rate.
t is the number of years for the compound interest.
Substituting into the equation, we have;
[tex] A = 8000(1 + \frac{6}{100})^{30}[/tex]
[tex] A = 8000(1 + 0.06)^{30}[/tex]
[tex] A = 8000(1.06)^{30}[/tex]
[tex] A = 8000(5.7435)[/tex]
A = $45948
I need your help s.o.s PLEASE
Answer:
Area = 17.5yd
Step-by-step explanation:
Area formula is Area = h * b/2
Area = 5 * 7/2
Area = 17.5
Answer:
is this area or volume? if it's Area 1/2 b*h
after being discounted 40%, weather radio sells for $35.97. find the original price (round your answer to the nearest cent)
Answer:
$89.93
Step-by-step explanation:
Set up an equation:
Variable x = original price
40/100 = 35.97/x
Cross multiply
40 × x = 100 × 35.97
40x = 3597
Divide both sides by 40
x = 89.925
Round to the nearest cent:
5 rounds up so:
89.93
Check your work (use the original number instead of the rounded number to be more exact):
89.925 × 40%
Convert the percentage into a decimal to multiply:
89.925 × 0.40
35.97
Correct!
WILL GIVE BRAINLIEST PLS HELP If P = (-3,5), find the image of P under the following rotation. 270° counterclockwise about the origin ([?], []). Enter the number that belongs in
Answer:
(5,3)
Step-by-step explanation:
Answer:
(5,3)
Step-by-step explanation:
When rotating a point (x,y) [tex]270^{\circ}[/tex] around the origin, the new coordinates become (y,-x). Since x is initially -3 and y is initially 5, the new coordinates are (5, 3).
10x+4y=20 Help me solve step by step and rewrite the equation
Answer:
y = -2.5x + 5
Step-by-step explanation:
10x + 4y = 20
Subtract 10x from both sides.
4y = -10x + 20
Divide both sides by 4.
y = -2.5x + 5
15) My bag contains two books each of weight kg and 3/7 folders each of weight
kg. What is the total weight of my bag5/21? What fraction of the total weight
21
are books?
Answer:
thx for the points MWAH!
Step-by-step explanation:
Type the correct answer in the box.
Log (14\3) + log(11/5) - log(22/5) = log(?)
Answer:
The answer would be 7
Step-by-step explanation:
The equivalent value of the logarithmic equation is x = 7/3
What is Logarithm?The power to which a number must be increased in order to obtain another number is known as the logarithm. A power is the opposite of a logarithm. In other words, if we subtract an exponentiation from a number by taking its logarithm
The properties of Logarithm are :
log A + log B = log AB
log A − log B = log A/B
log Aⁿ = n log A
Given data ,
Let the logarithmic equation be represented as A
Now , the value of A is
A = log ( 14/3 ) + log ( 11/5 ) - log ( 22/5 )
On simplifying , we get
From the properties of logarithm , we get
log A + log B = log AB
log A − log B = log A/B
So , A = log (14/3) + log (11/5) - log (22/5) = log [(14/3) × (11/5) / (22/5)]
A = log [(14/3) × (11/5) × (5/22)]
A = log ( 14/3 /2 )
A = log ( 7/3 )
Hence , the logarithmic equation is solved
To learn more about logarithm click :
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Claire is 11 years old. She is 5 years younger than her brother Gary who is y years old. Which equation represents this situation?
Answer:
y = 11 + 5
Step-by-step explanation:
So she is 5 years younger, which would mean that it would be y - 5, and using inverse operations, we get y = 11 + 5
hope this helps:/
From a hot-air balloon, Meena measures a 37° angle of depression to a landmark
that's 1865 feet away, measuring horizontally. What's the balloon's vertical distance
above the ground? Round your answer to the nearest hundredth of a foot if necessary.
Answer:
The balloon is 1405.38 feet above the ground.
Step-by-step explanation:
tan 37 = opp/adj = x/1865
tan 37/1 = x/1865
1865 tan 37 = x
x=1405.378303...≈1405.38
question in picture attached
Answer:
if u have a I phone I dont know but if u have a galaxy Note whatever take a pick and press the pencil at the bottom and move the lines how u want it
hope it helps
Exact value of csc 570 degrees
Answer:
-2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
Multiply −1-1 by 22.
−2
Which question is a statistical question? A. How many children are there in my neighborhood? B. How many families in my neighborhood include children? C. How many children are there in each family in my neighborhood? D. How many children in my neighborhood have siblings? E. How many families in my neighborhood have more than one child?
Answer:
I think the answer is C
Step-by-step explanation:
I hope this helps
The children are there in each family in my neighborhood.
We have given that the question is a statistical question
We have to determine the correct question in statistical data.
What is the statistical data?
A statistical question is a question that can be answered by collecting data that vary.
Therefore, The children are there in each family in my neighborhood.
Therefore option C is correct.
To learn more about the statistical question visit:
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I need assistanceeeee
Answer:
I believe it would 24..
Step-by-step explanation:
Plz answer both questions and I will give you the brainliest so no files or alien talk please. I will give brainliest for the right answer
9514 1404 393
Answer:
8) a. chord
9) b. radius
Step-by-step explanation:
8) Of the items listed, only a chord and a diameter are segments. A diameter is a chord, so of the two appropriate choices, we prefer the more general answer "chord" .
__
9) Of the segments listed, only the radius has one end point at the center of the circle.
Fred lives way out in the country. He goes shopping only once a year. He bought 500 cans of corn at $0.30 each, 617 pounds of potatoes for $ 0.59 per pound, 379 boxes of Jell-O at $0.98 per box, 116 gallons of milk at $4.25 a gallon, and 2 loaves of bread costing $0.98 each. How much money did Fred spend?
Answer:
Hello there! Mizuki here to help!
The correct answer will be:
Fred is going to spend $1380.41
Step-by-step explanation:
The whole work I did:
500 x 0.3 = 150
617 x 0.59 = 364.03
379 x 0.98 = 371.42
116 x 4.25 = 493
2 x 0.98 = 1.96
150 + 364.03 + 371.42 + 493 + 1.96 = 1380.41
Can someone please answer= 20 points
Below is a geometric sequence, what numbers CANNOT be apart of the sequence? Select all that apply.
F(1)=___
F(2)=-16
F(3)=___
F(4)=-256
a.-4
b.4
c.64
d.-64
e,1024
f.-1024
Pls give explanation if possible...
the inches of rainfall on mount waiale on Kauai in Hawaii is represented by the function f(x)=3^x+1-22 scientist are useing equations to study rain fall from year to year.
Calculate how much rainfall there was in year four and In year nine. You must show all of your work and calculate.
Answer:
[tex] \textrm {221 in year 4} \\ \textrm{59027 in year 9}[/tex]
Step-by-step explanation:
we are given a function
[tex] \displaystyle f(x) = {3}^{x + 1} - 22[/tex]
where x represents the years f(x) represents the amount of rainfall
so to figure out the amount of rainfall in year 4 we can substitute 4 for x
[tex] \displaystyle f(4) = {3}^{4+ 1} - 22[/tex]
simplify addition:
[tex] \displaystyle f(4) = {3}^{5} - 22[/tex]
simplify square:
[tex] \displaystyle f(4) = 243- 22[/tex]
simplify substraction:
[tex] \displaystyle f(4) = 221[/tex]
likewise In the year 9
[tex] \displaystyle f(9) = {3}^{9 + 1} - 22[/tex]
simplify addition:
[tex] \displaystyle f(9) = {3}^{10} - 22[/tex]
simplify square:
[tex] \displaystyle f(9) = 59049 - 22[/tex]
simplify Substraction:
[tex] \displaystyle f(9) = 59027[/tex]
hence,
there was 221 and 59027 in year four and In year nine
In order to control costs, a company wishes to study the amount of money its sales force spends entertaining clients. The following is a random sample of six entertainment expenses (dinner costs for four people) from expense reports submitted by members of the sales force. $157 $132 $109 $145 $125 $139 a. Calculate x , s2, and s for the expense data. In addition, show that the two different formulas for calculating s2 give the same result. b. Assuming that the distribution of entertainment expenses is approximately normally distributed, calculate estimates of tolerance intervals containing 68.26 percent, 95.44 percent, and 99.73 percent of all entertainment expenses by the sales force. c. If a member of the sales force submits an entertainment expense (dinner cost for four) of $190, should this expense be considered unusually high (and possibly worthy of investigation by the company)
Answer:
A) x¯ = 134.5
s² = 276.7 is the same for both formulas
s = 16.634
B) At 68.26%, we have (117.866, 151.134)
At 95.44%, we have (101.232, 167.768)
At 99.73%, we have (84.598, 184.402)
C) Yes, it will be considered high because 190 doesn't fall between any of the 3 tolerance intervals gotten in B above.
Step-by-step explanation:
A) The random 6 entertainment expenses are;
$157, $132, $109, $145, $125, $139
We want to find x¯ which is the mean.
Thus;
x¯ = (Σx)/n
x¯ = (157 + 132 + 109 + 145 + 125 + 139)/6
x¯ = 134.5
s² is the variance and can be calculated from 2 different formulas which are;
s² = (Σ(x - x¯)²)/n
Or s² = ((Σx²) - (Σx)²/n)/(n - 1)
For the first formula, when calculated we have;
s² = [(157−134.5)² + (132−134.5)² +(109−134.5)² + (145−134.5)² +(125−134.5)² + (139−134.5)²]/6
s² = 276.7
For the second formula;
(Σx²) = (157)² + (132)² + (109)² + (145)² +(125)² + (139)² = 109925
(Σx) = (157 + 132 + 109 + 145 + 125 + 139) = 807
Thus;
s² = (109925 - (807²/6))/(6 - 1)
s² = 276.7
So both formulas gave the same result of s²
s = √s² = √276.7
s = 16.634
B) from the empirical rule, 68% of the data will fall within one standard deviation while 95% of the data will fall within two standard deviations, and then 99.7% of the data will fall within three standard deviations from the mean.
Now, 68.26% will correspond to 1 standard deviation from the means and the tolerance level Formula here is;
x¯ ± s = 134.5 ± 16.634
This gives; (117.866, 151.134)
95.44% will correspond to within 2 standard deviations and the formula here is;
x¯ ± 2s = 134.5 ± 2(16.634)
>> (101.232, 167.768)
99.73% will correspond to within 3 standard deviations and the formula here is;
x¯ ± 3s = 134.5 ± 3(16.634)
>> (84.598, 184.402)
C) Yes it would be considered high because it doesn't fall between any of the 3 intervals in B above.
i need help on this question
There are 4 green marbles and 2 red marbles in the jar. You just randomly draw one by one without replacement and stop when you get the first red marble. Let X be the number of green marbles you draw when you stop. Get the probability distribution of X and find the expectation of it
Answer:
Then the probability distribution is:
P(0) = 1/3
P(1) = 4/15
P(2) = 1/5
P(3) = 2/15
P(4) = 1/15
The expected value for X is:
EV = 1.33...
Step-by-step explanation:
We have a total of 6 marbles in the jar.
The probability of getting a red marble in the first try (X = 0) is equal to the quotient between the number of red marbles and the total number of marbles, this is:
P(0) = 2/6 = 1/3
The probability of drawing one green marble (X = 1)
is:
First, you draw a green marble with a probability of 4/6
Then you draw the red one, but now there are 5 marbles in the jar (2 red ones and 3 green ones), then the probability is 2/5
The joint probability is:
P(1) = (4/6)*(2/5) = (2/3)*(2/5) = 4/15
The probability of drawing two green marbles (X = 2)
Again, first we draw a green marble with a probability of 4/6
Now we draw again a green marble, now there are 3 green marbles and 5 total marbles in the jar, so this time the probability is 3/5
Now we draw the red marble (there are 2 red marbles and 4 total marbles in the jar), with a probability of 2/4
The joint probability is:
P(2) = (4/6)*(3/5)*(2/4) = (2/6)*(3/5) = 1/5
The probability of drawing 3 green marbles (X = 3)
At this point you may already understand the pattern:
First, we draw a green marble with a probability 4/6
second, we draw a green marble with a probability 3/5
third, we draw a green marble with a probability 2/4
finally, we draw a red marble with a probability 2/3
The joint probability is:
P(3) = (4/6)*(3/5)*(2/4)*(2/3) = (2/6)*(3/5)*(2/3) = (1/5)*(2/3) = (2/15)
Finally, the probability of drawing four green marbles (X = 4) is given by:
First, we draw a green marble with a probability 4/6
second, we draw a green marble with a probability 3/5
third, we draw a green marble with a probability 2/4
fourth, we draw a green marble with a probability 1/3
Finally, we draw a red marble with a probability 2/2 = 1
The joint probability is:
P(4) = (4/6)*(3/5)*(2/4)*(1/3)*1 = (1/5)*(1/3) = 1/15
Then the probability distribution is:
P(0) = 1/3
P(1) = 4/15
P(2) = 1/5
P(3) = 2/15
P(4) = 1/15
The expected value will be:
EV = 0*P(0) + 1*P(1) + 2*P(2) + 3*P(3) + 4*P(4)
EV = 1*(4/15) + 2*( 1/5) + 3*( 2/15) + 4*(1/15 ) = 1.33
So we can expect to draw 1.33 green marbles in this experiment.
fast brainliest for u if u fast answer
Answer:
It's 1/21
cuz if u divide them that what i got
Step-by-step explanation:
A certain regression line equation has the slope equal to 326.07 and an intercept that is equal to 8.19. What will be the predicted score for the dependent variable if the independent variable is 608.6?
Answer:
The predicted score for the dependent variable will be of 198,454.4.
Step-by-step explanation:
Equation of a regression line:
The equation of a regression line has the following format:
[tex]y = ax + b[/tex]
In which a is the slope and b is the intercept. x is the independent variable while y is the dependent variable.
A certain regression line equation has the slope equal to 326.07 and an intercept that is equal to 8.19.
So [tex]y = 326.07x + 8.19[/tex]
What will be the predicted score for the dependent variable if the independent variable is 608.6?
y when x = 608.6. So
[tex]y = 326.07*608.6 + 8.19 = 198454.4[/tex]
The predicted score for the dependent variable will be of 198,454.4.
Tenley makes stained glass windows. She used this piece of stained glass in one of the windows. How many right angles does this piece of stained glass appear to have?
Answer:
I think its 0
Step-by-step explanation:
What is the area? Pls help
Answer: 45.5 square yards
The formula for finding the area of a triangle is: A=1/2bh
1. Multiply 13 and 7 to get 91
2. Multiply 91 by 1/2 or divide it by 2 to get 45.5
3. Write the units to get 45.4 sq. yds.
Pls help 15 points pls hurry
Answer:
5k and -3k are like variables
constants 7 and -2 are like terms
5+2k+n is equivalent expression
Step-by-step explanation:
need help asap please
It should be A. The distance between Jupiter and Earth is Greater than the distance between Mercury and Earth.
What is the y- intercept of function f ?
A. -1
B. 1
C. -2
D. 5
Answer:
y intercept = 5
Step-by-step explanation:
f(x)=5•(1/6)^x
The y intercept is when x =0
Let x =0
f(0)=5•(1/6)^0
= 5* 1 = 5
The y intercept is 5
If the question is
f(x)=5•(1/6)x
although I have never seen the question written this way
The y intercept is when x =0
Let x =0
f(0)=5•(1/6)0
= 5* 0 = 0
The y intercept is 0
Answer:
B. 1
Step-by-step explanation:
The y-intercept occurs at x = 0
therefor the applicable function is
f(x) = -x + 1
at x=0
f(0) = -0 + 1
f(0) = 1
can anyone help me with this pls
D should be your answer :)
A) find the Surface area
5 cm
12 cm
3 cm
8 cm
Here's the solution,
Surface area :
=》
[tex] \boxed{\mathbf { \footnotesize (2 × area \: of \: triangle) + (3 × area \: of \: rectangle) }}[/tex]
=》
[tex] (2 \times \dfrac{1}{2} \times 8 \times 3) + (3 \times 12 \times 5)[/tex]
=》
[tex]24 + 180[/tex]
=》
[tex]204[/tex]
surface area = 204 cm²
Question 4: Finding a basis of the orthogonal complement Consider the matrix Find a basis of the orthogonal complement of the column space of . Basis [[0,1,-1],[1,1,0]] How to enter the solution: To enter your solution, place the entries of each vector inside of brackets, each entry separated by a comma. Then put all these inside brackets, again separated by a comma. Suppose your solutions is . Then please enter
Answer: hello your question is poorly written hence I will provide the required matrix
answer :
A = [tex]\left[\begin{array}{ccc}1&0&1\\0&1&1\\1&-1&0\end{array}\right][/tex]
Step-by-step explanation:
Given that the basis of the orthogonal complement have been provided already by you in the question I will have to provide the Matrix
The required matrix
[tex]\left[\begin{array}{ccc}1&0&1\\0&1&1\\1&-1&0\end{array}\right][/tex]
column1 = column 3 - column2
where column 3 and column 2 are the basis of the orthogonal complement of the column space of the Matrix