Answer:
5736
Step-by-step explanation:
calculator
Answer: 5736
Step-by-step explanation:
Please help!
Find the amount of money( future value) in an account where 8,800 is deposited ( present value) at an interest rate 6.5% per year compounded continuously and the money is left in the account for 7 years.
The final amount is $ ?
Round your answer to 2 decimal places.
By using the formula for amount of money in a compound interest, it can be calculated that
Amount received after 7 years is $13675.08
What is a compound interest?
If the interest on a certain principal at a certain rate over a certain period of time increases exponentially rather than linearly, then the interest earned is called compound interest.
If p is the principal, r is the rate and n is the time in years, then
amount = [tex]p(1+\frac{r}{100})^n[/tex]
Difference between amount and principal gives the compound interest.
Principal = $8800
Rate = 6.5 %
Time = 7 years
Amount received = [tex]8800(1 + \frac{6.5}{100})^7[/tex]
$13675.08
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To go to the theater you would pay $8.00 for each ticket you purchase. Which answer choice correctly represents the algebraic expression for the cost of t tickets?
A. 8t
B. 8 + t
C. 8 – t
D.
Answer:
Step-by-step explanation:
a
What percent is 199 is 761
Answer:
Step-by-step explanation:
Solutionx% of 199 is 761 is 382.41206…% Answer
Convert x% into a decimal and multiply by 199
In order to convert a percent to a ratio, divide it by 100:
a%=a100
a=x
x% =x100
Convert to decimal form=0.01x
Multiply 0.01x by 199
=0.01x· 199=1.99x
Solve 1.99x=761
1.99x=761
x=761/1.99
x=382.41206%
if p is false,which row represents when p v(q^r) is true?
E
F
G
H
Answer:
f and g 231
Step-by-step explanation:
10. Seven more than the quotient of a number b
and 45 is greater than 5.
Given f(x)=3x^2+kx+4 and the remainder when f(x) is divided by x-4 is 68 then What is the value of k?
Answer:
k = 4-----------------------------
GivenFunction f(x) = 3x² + kx + 4,Remainder of f(x) / (x - 4) is 68.According to the remainder theorem, if we subtract 68 from the given trinomial it should be divisible by x - 4. In other words, one of zero's will be x = 4.
f(x) = 3x² + kx + 4 - 68 = 3x² + kx - 64 = 0When x = 43*4² + k*4 - 64 = 048 + 4k - 64 = 04k - 16 = 04k = 16k = 4Suppose a large consignment of compact discs contained 13% defectives.
If a sample of size 329 is selected, what is the probability that the sample proportion will differ from the population proportion by more than 3%? Round your answer to four decimal places.
The probability that the sample proportion will differ from the population proportion by more than 3% is 0.8948
How to calculate the probability?The requirement to solve the probability between z-values is to know that the probability between the z-values is the difference between the probability of the greatest z-value and the lowest z-value.
In this case, the sample proportion:
= ✓[p(1 - p)/n]
= ✓(0.13 × 0.87)/329
= 0.01854.
The probability will be:
P(-0.03 / 0.01854) < z < (0.03 / 0.01854)
P(-1.62 < z < 1.62)
Looking at the z table, the probability is 0.08948
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For f(x)=3x+18, what is the value of x for which f(x) =21
a. x=2
b. x=5
c. x=1
d. x=-1
Answer:
I believe the answer is C
Step-by-step explanation:
a. would = 24b. would = 33c. would = 21d. would = 15 :)I don't understand please help me...
The total fencing material required to fence the playground and both flower beds is
perimeter of a rectangle is 2( / + w)perimeter of a square is 8aHow to find the material required for the fencingInformation from the question
The boundary of a park is shaped like a circle
The length of the rectangular playground is / and its width is w
The length of each side of the square flower beds is a
The problem is asking for the perimeter of a rectangle and 2 squares
perimeter of a rectangle is 2( / + w)
perimeter of a square is 4a
If there was no over lap the expression will have no reduction and hence the quantity of material required for the fencing is equal to their respective perimeters
The flower beds are two so the perimeter will be multiplied by 2 to give 8a
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Anna Marie goes to dinner at a restaurant where the sale tax on meals is 9%. she leaves a tip that is 175% of the amount of sales tax. if her total bill is $45 what was the cost of her meal and what percent tip did she leave
Answer: $78.75
Step-by-step explanation:
You have to multiply the price by tax and add
A model rocket is launched with an initial upward velocity of 235 feet the Rockets height H in feet after t seconds is given by the following
By assuming that the initial height of the rocket is the ground, we will get the height equation:
H(t) = -16*t^2 + 235*t
How to find the equation for the height?The height equation for any object near the surface of the heart that is not being subject to any other forces than the gravitational one is:
H(t) = -16*t^2 + v*t + h
Where:
t represents the time in seconds.
the first coefficient -16 is half of the gravitational acceleration in feet over squared seconds.
v is the initial velocity, which in this case is 235 ft/s
h is the initial height, in this case we assume is zero (the rocket is launched from the ground)
Replacing all that in the height equation, we will get:
H(t) = -16*t^2 + 235*t
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HELPP ME PLEASEEEEEE
Answer:
We can see that as x increases, y decreases. This indicates a negative slope meaning that the two variables are negatively related.
Hope this helps! :)
Describe the transformers of the parent function, f(x)=x, performed to create g(x).
g(x)= -3 • f(x) + 1
The function g(x) is a reflection over the x-axis and stretch by 3 units and shifted upward by 1 unit of the parent function f(x).
What is a function?A capability is a declaration, idea, or rule that lays out a relationship between two factors. Capabilities might be found all through science and are fundamental for the advancement of huge connections.
The functions are given below.
f(x) = x
g(x) = -3f(x) + 1
g(x) = -3x + 1
The parent function is a reflection over the x-axis and stretch by 3 units and shifted upward by 1 unit.
The functions g(x) and f(x) are shown below.
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A hospital is trying to cut down on emergency room wait times. It is interested in the amount of time patients must wait before being called back to be examined. An investigation committee randomly surveyed 70 patients. The sample mean was 1.5 hours with a sample standard deviation of 0.5 hours.
Which distribution should you use for this problem? (Enter your answer in the form z or tdf where df is the degrees of freedom.)
The distribution that is needed for the problem that we have here is the t distribution.
What is the t distribution?With its bell-shaped structure and heavier tails, the t-distribution, commonly referred to as the Student's t-distribution, is a kind of probability distribution that resembles the normal distribution.
When there are insufficient samples or unknown variances, it is used to estimate population parameters. T-distributions have broader tails than normal distributions because they are more likely to contain extreme values.
We have tn-1
where n = 70
so that we would have
t70 - 1
= t69
Therefore we would have to use the t distribution here.
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NEED HELP ASAPPPPPPPP
1) In figure 4, the area of the square os 16cubes. The shaded part is 7cubes, being one less than 4^2 or 4*4. The formula is n+n-1. This can be put in for 5 too. 5+5-1=9.
2) Using the formula, 50+50-1=99. Therefor, the shaded squares in the 50th figure would be 99.
Complete sentence:
1) The formula for the number of shaded squares in the Nth figure is n+n-1.
2) There would be 99 shaded squares in the 50th figure.
explanation: Knowing that the area of a square is length*width, in this case because the figures are squares, the length and the width are both the same number. From this, we can tell that for figure 45, the length is 45 and so this the width. The one square in the corner is both the length and the width so this is why we take 1 away or -1.
a nutrition label on a protein bar shows that the bar contains 7% of the daily recommended amount of carbohydrates. there are 20 grams of carbohydrates are recommended in the protein bar. how many grams of carbohydrates ar recommended per day? round your answer to the nearest whole. PLEASE HELP WITH N EXPLANATION
The daily amount in grams of the recommended carbohydrates is 2587.15 grams
How to solve for the amount of recommended carbohydrateThe amount of daily recommended carbohydrate is solved by dividing the quantity of carbohydrate in the protein bar by the percentage contained in the bar
The problem deals with percentage and 7% is written as
7%
= 7 percent
= 7 / 100
= 0.07
The factor 0.07 of the daily recommended amount of carbohydrates gives 20 grams of carbohydrate
let the daily recommended amount of carbohydrates be x
0.07 * x = 200
0.07x = 200
x = 200 / 0.07
x = 2587.15 grams
The daily recommended amount of carbohydrates is 2587.15 gram
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do we have to find x using quadratic formula or what?
Step-by-step explanation:
The base of the separated triangle is (x+5) - (2x - 4) = x + 5 - 2x + 4 = 9 - x
So, area of the separated triangle would be:-
1/2 * b* h
or, 1/2 * (9-x)* (x+3)
or, (6x + 27 - x² )/2
Total area of trapezium = (6x + 27 - x²)/2 + (2x-4)(x + 3)
or, 60 = (6x + 27 - x²)/2 + 2x² + 2x - 12
or, 60 = (6x + 27 - x² + 4x² + 4x - 24)/2
or, 120 = 10x + 3x² + 3
or, 0 = 3x² + 10x + 3 - 120
hence, 3x² + 10x - 117 = 0 (proved)
Again,
Use quadratic formula to figure out value of x.
(It woun't be a natural number)
Write the value of x with only one digit after it's decimal.
I don't understand how to do this, pls help :(
Answer: A
Step-by-step explanation:
Find the slope of the line using rise/run formula please help
Answer:
20/5 is the slope, or 4.
Step-by-step explanation:
It went up 20 units on the y axis, and over 5 units on the x-axis. So 20/5 is the slope.
-Hope this helped
NEED HELP ASAP
What is the value of y in the solution to this system of equations 6y+x= -59 x= -2y+9?
Answer:
y = - 17
Step-by-step explanation:
6y + x = - 59 → (1)
x = - 2y + 9 → (2)
substitute x = - 2y + 9 into (1)
6y - 2y + 9 = - 59
4y + 9 = - 59 ( subtract 9 from both sides )
4y = - 68 ( divide both sides by 4 )
y = - 17
Notebook paper is about 0.003 in. thick. If you cut a sheet of paper in half, stack one piece on top of the other, cut those in half, stack all the pieces together, repeating this process 20 times, how high will the stack of paper be?
Answer:
765
Step-by-step explanation:
A line is perpendicular to y = 6x +3
and intersects the point (6, 1).
Find the equation for this line.
y-1=-(x-[?])
Answer:
1
Step-by-step explanation:
Perpendicuar lines have slopes that are opposite reciprocals: 6 ==> -1/6
y=mx+b
y=-x/6 + b ==> plug in slope -1/6 into slope equation
1 = -6/6 + b ==> plug in x and y values into slope equation
1 = -1 + b
1 + 1 = -1 + 1 + b
b = 2 ==> solve for b
y = -x/6 + 2 ==> plug in the value of b into the equation
y - 1 = -x/6 + 2 - 1
y - 1 = -x/6 + 1
y - 1 = -(x/6-1) ==> answer: 1
Help with this math problem
The value of the investment after 3.25 years is $434.93.
What is the interest rate?The amount a lender charges a borrower, expressed as a percentage of the principle, is known as the interest rate.
Given that, the initial investment is P₀ = $400, the interest rate is n = 2.6%, and the time is x = 3.25 years.
The formula for the future value in continuous compounding is:
P(x) = P₀eⁿˣ
Substitute P₀ = 400, n = 2.6%, and x = 3.25 into the equation:
[tex]P(3.25) = (400)e^{2.6\%(3.25)}\\[/tex]
= 434.93
Hence, the value of the investment after 3.25 years is $434.93.
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ANSWER PLEASE!
Armando lost 975 coins playing his
favorite video game. He lost the same number of coins in each of the 15 levels he played. What was the change in Armando's coins at the end of each level of the game?
Answer: 81.25
Step-by-step explanation:
Answer:
Armando lost 65 coins each level.
Step-by-step explanation:
Given information,
→ Armando lost 975 coins playing his favorite video game.
→ He lost the same number of coins in each of the 15 levels he played.
Forming the equation,
→ 15x = 975
Now required value of x will be,
→ 15x = 975
→ x = 975/15
→ [ x = 65 ]
Hence, he lost 65 coins each level.
What is the equation of the line in standard form?
A. x-2y=4
B. x+2y=4
C. 2x+y=2
D. 2r-y-2
Answer:
D. 2x -y = 2
Step-by-step explanation:
You want to know the standard-form equation of the line through points (-1, 4) and (2, 2) as shown on the graph.
Intercept formThe graph shows the x-intercept of the line is a=1, and the y-intercept of the line is b=-2. This means the intercept form of the equation is ...
x/a +y/b = 1
x/1 +y/(-2) = 1
Standard formMultiplying this equation by 2 gives ...
2x -y = 2 . . . . the standard form equation for the line
__
Additional comment
The standard form equation can also be developed from the coordinates of points on the line:
(y2 -y1)x -(x2 -x1)y = (y2 -y1)x1 -(x2 -x1)y1
(2 -(-4))x -(2 -(-1))y = (2 -(-4))(-1) -(2 -(-1))(-4)
6x -3y = -6 +12
Dividing by 3 gives the standard form equation ...
2x -y = 2
Which equation is the inverse of y = 100-x²?
Oy=± √100-x
O y=10± √√x
Oy=100+√x
Oy=+√x-100
Answer:
y = ±√100-x
Step-by-step explanation:
To work out the inverse of this function :
We solve for x then swap x and y :
Solving for x :
y = 100 - x²
Add x² to both sides :
x² + y = 100
Subtract y from both sides :
x² = 100-y
Square root both sides :
x = ±√100-y
Now we have solved for x. Now swap x and y :
y = ±√100-x
This is our final answer and is the first option.
Hope this helped and have a good day
Please Help!!!!
Kim and Tracy are collecting data for their final project in their psychology
class, in which they are conducting a survey about people’s overall job
satisfaction. They decide to go to the local mall to collect their data. To get a
more varied sample, Kim surveys shoppers coming out of store A, a discount
clothing store, while Tracy surveys shoppers coming out of store B, a high-end
boutique.
A. Identify a possible problem with this type of sampling method. (6 points)
B. How might Kim and Tracy improve on their sample design so as to get more
accurate information from the shoppers at the mall?
Answer:
below
Step-by-step explanation:
A problem would be that they are not surveying people from multiple places. They are doing it at 2 opposite stores, at the same times. They should try multiple different stores at other days and times to get more objective data.
Need help solving this problem 35)210.35
Answer: The answer is 0.16638935108
Step-by-step explanation:
Help me with these 2
1) y = 3x+2, where slope is 3 and point is(3, -5).
2) y+6 = 4(x-5) is the equation for the given slope and point.
The slope of a line can be calculated from the equation of the line. The general slope of a line formula is given as,y = mx + b
The slope of a line can be calculated using two points lying on the straight line. Given the coordinates of the two points, we can apply the slope of line formula.Slope = m = tan θ = (y2 - y1)/(x2 - x1)
1) y + 5 = 3(x-1)x-x
Compare this equation to y - y₁ = m(x - x₁)
y = 3x - 3 + 5
y = 3x + 2
2) Given:
Slope = 4; point (5, -6)
y - y₁ = m(x - x₁)
y + 6 = 4(x -5 )
Option A
Hence, i) y = 3x+2, where slope is 3 and point is(3, -5) and ii) y+6 = 4(x-5) is the equation for the given slope and point.
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if h(x)= 1-7x find the value of 23-h(9)=
85
Step-by-step explanation:
Given,
[tex]{ \pink{ \sf{h(x) = 1 - 7x}}} \: { \to} \: { \tt{eq}^{n} (1)}[/tex]
Put x = 9 in Eqⁿ (1)
[tex]{ \pink{ \sf{h(9) = 1 - 7(9)}}}[/tex]
[tex]{ \pink{ \sf{h(9) = 1 - 63}}}[/tex]
[tex]{ \red{ \boxed{ \pink{ \sf{h(9) = - 62}}}}}[/tex]
Let
[tex]{ \green{ \sf{23 - h(9)}}} \: { \to} \: { \tt{ {eq}^{n} (2)}}[/tex]
Substitute the value of h(9) in Eqⁿ (2)
[tex]{ \green{ \sf{23 - ( - 62)}}}[/tex]
[tex]{ \green{ \sf{23 + 62}}}[/tex]
[tex] = { \pink{ \boxed{ \red{ \sf{85}}}}}[/tex]