Answer:
Amount won by Kamran = $21,450
Step-by-step explanation:
This can be calculated using the following 3 steps:
Step 1: Calculation of the amount invested in treasury bonds
Since the limit to the duration of investment is not stated, the amount invested can be calculated using the formula for calculating the present value of a perpetuity as follows:
PV = P / r …………………………………. (1)
Where;
PV = Present value or the amount invested treasury bonds = ?
P = Annual return on his investments = $661.25
r = Annual rate of return = 5%, or 0.05
Substitute the values into equation (1), we have:
PV = $661.25 / 0.05 = $13,225
Step 2: Calculation of the amount deposited in the money market account
From Step 1 above, we have:
Amount invested treasury bonds = $13,225
Since he invests $5000 more in treasury bonds than he deposits in the money market account, the amount deposited in the money market account can be calculated as follows:
Amount deposited in the money market account = Amount invested treasury bonds - $5,000 = $13,225 - $5,000 = $8,225
Step 3: Calculation of the amount won by Kamran
Amount won by Kamran = Amount invested treasury bonds + Amount deposited in the money market account = $13,225 + $8,225 = $21,450
Alexis is working for a GPS company. The GPS software has recently been updated with a new algorithm and Alexis needs to
check to see if it is calculating properly. Alexis places Charlotte area on a grid and finds Charlotte to be at (6,7) and Gastonia
is at (-1,4). What is the distance between them, if each unit is two miles?
Answer:
2root(58) == 15.23 miles
Step-by-step explanation:
Find distance between two points --> root( (x2 - x1)^2 + (y2 - y1)^2 ) = root (3^2 + 7^2) = root ( 58), as one unit is two miles then 2* root(58) = 15.23 miles.
If you find it is helpful plz give Brainliest
A Dodecahedron (12 sided die) is thrown, what is the P( odd OR a number greater than 6)?
Answer:
6 numbers greater than 6, plus 1,3 and 5- so nine total.
9/12, simplified 3/4
A bucket that weighs 3 lb and a rope of negligible weight are used to draw water from a well that is 50 ft deep. The bucket is filled with 42 lb of water and is pulled up at a rate of 2.5 ft/s, but water leaks out of a hole in the bucket at a rate of 0.25 lb/s. Find the work done in pulling the bucket to the top of the well. Show how to approximate the required work by a Riemann sum. (Let x be the height in feet above the bottom of the well. Enter xi* as xi.)
Answer:
the work done in pulling the bucket to the top of the well is 2125 ft-lb
Step-by-step explanation:
Given that;
Weight of the bucket is 3 lb
weight of water which can be filled in the bucket is 42 lb
Total weight of bucket and water = 3 + 42 = 45 lb
distance, the bucket filled with water is to be pulled 50 ft
now, let at any time t be the bucket at distance x ft from the bottom of the well
then, t = x/2 × S
where S is the rate at which water is leaking from the bucket
so at this time t, the amount pf water which leaked from the bucket is;
⇒ x ft / 2.5 ft/s × 0.25 lb/s
= 0.25 lb.s⁻¹ / 2.5 ft.s⁻¹ × x ft
= 0.1 lb/ft × x ft
= 0.1x lb
now, as x represent the distance that the bucket has been raised, we the force F applied to the bucket x to be;
F = ( 45 - 0.1x ) lb
so, the required worked by Riemann sum as;
[tex]\lim_{n \to \infty}[/tex]ⁿ∑_[tex]_{i=1}[/tex] ( 45 - 0.1x[tex]_i[/tex]* ) Δx
so, the work done, pulling the bucket up will be;
[tex]\lim_{n \to \infty}[/tex]ⁿ∑_[tex]_{i=1}[/tex] ( 45 - 0.1x[tex]_i[/tex]* ) Δx = [tex]\int\limits^{50}_0 {(45-0.1x)} \, dx[/tex]
= [ 45x - 0.1[tex]\frac{x^2}2}[/tex] ]⁵⁰₀
= 45 × 50 - 0.1/2 × (50)²
= 2250 - 125
= 2125 ft-lb
Therefore, the work done in pulling the bucket to the top of the well is 2125 ft-lb
patrick walks at 6/8 kilometer per 8 hour. how far will he in 5 hours?
Answer:
In 5 hours, he will go 3 ¾ kilometers far.
Step-by-step explanation:
What is the measure of angle B?
Triangle A B C. Angle A is 50 degrees and angle C is 28 degrees.
78°
92°
102°
282°
Answer is 103
- took the test on edge!
- Have a good day :)
A store sells cashews for $5.00 per pound and peanuts for $1.50 per pound. The manager decides to mix 10 pounds of peanuts with some cashews and sell the mixture for $3.00 per pound. How many pounds of cashews should be mixed with the peanuts so that the mixture will produce the same revenue as would selling the nuts separately?
There should be __ pounds of cashews in the mixture.
(Type an integer or a decimal.)
Answer:
7.5 pounds
Step-by-step explanation:
The computation is shown below:
let us assume x be the pounds of cashews,
and the total pounds will be x + 10
Now the equation is
10($1.5) + x(5.00) = (10 + x)(3.00)
15 + 5x = 30 + 3x
2x = 15
x = 7.5 pounds
34,977 ×2,344 is even are odd number
Answer:
81986088
its even
Step-by-step explanation:
just look it up on your search bar? Im confused on what your asking. Sorry if I answered wrong
If 26 feet 10 inches is cut from a wire that is 44 feet 8 inches long what is the length of wire that is left ?
Answer:
17 feet 10 inches
Step-by-step explanation:
26 feet 10 inches is cut from a wire that is 44 feet 8 inches
Therefore the length of wire that is left can be calculated as follows
44 feet 8 inches - 26 feet 10 inches
= 17 feet 10 inches
need help with this right now
Answer:
i believe number 4 is the answer
mr sigmon has 24 students in his classroom 1/4 of them are girls
Answer:
6 of his class are girls
Step-by-step explanation:
24/4=6
A square painting has an area of 9 square metres. How long is each side?
Answer:
2
Step-by-step explanation:
Fill in the blank so that the ordered pair is a solution of y = 6x +7: 4,25)
a) 13
b) 1
c) 18
d) 3
Answer:
it is either A OR B
Step-by-step explanation:
How many license plate numbers consisting of three letters followed by
two numbers are possible when repetition is not allowed?
Write the equation of the line that passes through the points (4,8) and (1,-8). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line. Pleaseee help me:/
Answer: y = (16/3)*x - 13.33
Step-by-step explanation:
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
Then for our particular case, we know that the line passes through the points (4, 8) and (1, -8)
Then the slope for this line will be:
a = (8 - (-8))/(4 - 1) = 16/3
Then our line is something like:
y = (16/3)*x + b
We need to find the value of the y-intercept b.
We know that this line passes through the points (4, 8) and (1, -8)
Then we can just replace the values of one of these points in our linear equation, for example, if we se the first one we get:
x = 4 and y = 8
replacing that in our equation we get:
8 = (16/3)*4 + b
8 - (16/3)*4 = b
-13.33 = b
Then the equation for our line is:
y = (16/3)*x - 13.33
PLEASE HELP ASAP I WILL MARK BRAINLIEST!
This expression was evaluated incorrectly.
Answer:
Step 2
Step-by-step explanation:
Step 2 b/c [tex]4\frac{1}{8}[/tex] = [tex]\frac{33}{8}[/tex]
In △JKL, the measure of ZL=90°, KL = 11 feet, and JK = 32 feet. Find the measure of
ZJ to the nearest tenth of a degree.
Answer:
x = 20.1 degrees
Step-by-step explanation:
Use the inverse sine function to calculate the angle measure. While the sine function uses the opposite and hypotenuse's angle measures, the inverse sine uses the side lengths of the opposite and hypotenuse.
Using something like desmos, plug in arcsin(11/32) and make sure you have selected degrees instead of radians in the setting to get the correct output.
Note that Inverse sine , cosine, and tangent can be written like arcsin, arccos, arctan or sin^-1, cos^-1, tan^-1.
x= 20.1
Please send help. I really need this asap
Answer:
Part a) The area of the figure is [tex]\frac{9}{2} (4+\pi ) cm^{2}[/tex]
Part b) The perimeter of the figure is [tex]3(2+2\sqrt{2} +\pi )cm[/tex]
the measures of the angles of a triangle are shown below. solve for x
Answer:
x = 7
Step-by-step explanation:
As in right triangle, the other two angles sum up equal to 90 degree, so 6x + 15 + 33 = 90, then solve for x, 6x = 90 - 15 - 33 = 42, then x = 7.
Question 2 of 10
What is the slope-intercept equation of the line below?
O A. y = -2x-3
O B. y = -2x + 3
O C. y = 2x-3
O D. y = 2x + 3
Answer:
y=2x-3
Step-by-step explanation:
First we find the y-intercept of this graph whic in this case is -3. Then we plot two pints on the graph and caculate the rise over run which is 2/1=2. Finally, we get the equation- y=2x-3.
Amir subtracted a quantity from the polynomial 3x^2+8x−16 and produced the expression x^2−4. What quantity did Amir subtract? Explain how you got your answer.
Answer:
4x^2 + 8x - 20
Step-by-step explanation:
Amir subtracted a quantity
Let quantity = y
... from the polynomial 3x^2+8x−16
y - (3x^2+8x−16)
and produced the expression x^2−4
= x^2−4
What quantity did Amir subtract?
y - (3x^2+8x−16) = x^2−4
Solving for y;
y = x^2−4 + (3x^2+8x−16)
y = x^2−4 + 3x^2+8x−16
y = 4x^2 + 8x - 20
Quantity subtracted by Amit is [tex]\boldsymbol{2x^2+8x-12}[/tex]
Algebraic ExpressionIn arithmetic, an expression is a sentence that includes at least two integers (known or unknown) as well as at least [tex]1[/tex] operation.
A quantity is subtracted from the polynomial [tex]3x^2+8x-16[/tex] and the result obtain is the expression [tex]x^2-4[/tex]
Quantity subtracted [tex]=(3x^2+8x-16)-(x^2-4)[/tex]
[tex]=3x^2+8x-16-x^2+4\\=2x^2+8x-12[/tex]
So, quantity subtracted is [tex]\boldsymbol{2x^2+8x-12}[/tex]
Find out more information about expression here:
https://brainly.com/question/13947055?referrer=searchResults
1. What is asked in the problem?
2.What are the given facts?
3.What is the operation to be used?
4.what is the mathematical sentence?
5.what is the solution?
Answer:
See Explanation
Step-by-step explanation:
Given
See attachment
Solving (1): What is asked
The requirement of the question is to determine the difference between the amount of sugar used between yesterday and today
Solving (2): The given facts
[tex]Yesterday = \frac{9}{10}kg[/tex]
[tex]Today = \frac{3}{5}kg[/tex]
Solving (3): Operation to be used
We use subtraction operation
Solving (4): The mathematical sentence
[tex]D = Yesterday - Today[/tex]
[tex]D = \frac{9}{10}kg - \frac{3}{5}kg[/tex]
D represents the difference
Solving (5): The solution
[tex]D = \frac{9}{10}kg - \frac{3}{5}kg[/tex]
Take LCM
[tex]D = \frac{9 - 6}{10}kg[/tex]
[tex]D = \frac{3}{10}kg[/tex]
please. help me
thank you
Answer:
-30,10
Step-by-step explanation:
How to get 60 to -30 : 60 divided by -30 is -2
How to get -20 to 10: -20 divided by 10 is -2
A manufacturer of a new nicotine nasal spray claims that their product has a 30% success rate for smoking cessation. In a clinical study involving 150 smokers, 93 of them quit smoking. Test the hypothesis that the success rate claimed by the manufacturer is valid at the 5% level of significance.
answer:
we reject null and conclude that this manufacturers claim is false
Step-by-step explanation:
p = 30% = 0.30
p^ = 93/150 = 0.62
we state the hypothesis
H0: p = 0.30
h1: p not equal to 0.30
we find the z test stattistics
[tex]z=\frac{p^--p}{\sqrt{\frac{p(1-p)}{n} } }[/tex]
[tex]z=\frac{0.62-0.30}{\sqrt{\frac{0.30(1-0.30)}{150} } }[/tex]
[tex]z=\frac{0.32}{\sqrt{\frac{0.30*0.70}{150} } }[/tex]
[tex]z=\frac{0.32}{0.03741}[/tex]
z = 8.5538
at alpha = 0.05
z-critical = Z₀.₀₅/₂ = Z₀.₀₂₅
= 1.96
we compare z critical with the test statistic
z statistic > z critical so we have to reject H₀ and conclude that the manufacturers claim is not valid at 0.05 level of significance.
The total service time of a multistep manufacturing operation has a gamma distribution with mean 18 minutes and standard deviation 6 minutes.
(a) Determine the parameters alpha and lambda of the distribution. (solving these two parameters using the mean and the standard deviation)
(b) Assume that each step has the same exponential distribution for service time. What distribution for each step and how many steps produce this gamma distribution of total service time?
Answer:
The answer is "[tex]\bold{r=9, \lambda=\frac{1}{2}\ and \ \ \text{exponential, 9 steps}}[/tex]"
Step-by-step explanation:
In point a:
We are aware of the random gamma variable X:
[tex]\to \mathbb{E} =\frac{r}{\lambda}\\\\\to Std(X) =\frac{\sqrt{r}}{\lambda}\\\\[/tex]
It is given:
[tex]\to \mathbb{E} = 18 \\\\\to std(X)=6[/tex]
[tex]\to 18=\frac{r}{\lambda}\\\\ \to 6=\frac{\sqrt{r}}{\lambda}\\\\[/tex]
Substituting the value:
[tex]\to \frac{\sqrt{r}}{6}=\frac{r}{18}\\\\\to r=9\\\\\to \lambda=\frac{1}{2}\\\\[/tex]
In point b:
When building the Erlang/Gammas distribution, these could reasonably be assumed to become an exponential distribution only with \lambda = 1/2 parameter with one step but to be r = 9 for one step.
The area of a rectangular rug is 4(2x - 5). Which other expression represents the same area?
Answer:
8x-20
Step-by-step explanation:
Use the distributive property. Multiply 4 by 2x. Multiply 4 by -5.
find each measurement indicated. Round your answers to the nearest tenth. Please show work. Part 1
9514 1404 393
Answer:
33.0 m26.1 mi28.0 mi33.0 miStep-by-step explanation:
In each of these Law of Sines problems, you are given side a and angles B and C and asked for side c (problems 1, 3, 4) or side b (problem 2). The solution is basically the same for each:
Find the missing angle. Find the side from ...
c = a·sin(C)/sin(A)
__
1. angle A = 180°-89°-58° = 33°
c = (18 m)sin(89°)/sin(33°) ≈ 33.0 m
__
2. angle C = 180°-13°-17° = 150°
b = (58 mi)sin(13°)/sin(150°) ≈ 26.1 mi
__
3. angle A = 180°-61°-89° = 30°
c = (16 mi)sin(61°)/sin(30°) = 28.0 mi
__
4. angle A = 180°-39°-127° = 14°
c = (10 mi)sin(127°)/sin(14°) ≈ 33.0 mi
In which number is the value of the digit in the hundreds place one-tenth the value of the digit in the thousands place?
A. 384,403
B. 655,286
C. 887,510
D. 909,273
Answer:
A.
Step-by-step explanation:
I'm pretty sure that's right.
Anna walks 3 kilometers a day. How many METERS does she walk in 5 days?
Answer:
15000 meters in five days
Step-by-step explanation:
There are 1000 meters in a kilometer.
3 x 1000 = 3000
3000 meters per day
3000 x 5 = 15000
15000 meters for 5 days
Answer:
15km or 15000m
Step-by-step explanation:
We have a speed, which is 3 km a day, and a time which is 5 days.
If speed is equal to distance/time
Distance must equal speed multiplied by time, or 3 times 5.
This gives us 15km
If a kilometer is 1000 meters, then 15km is 15 times 1000, or 15000
24, 3, 29, 24, 8, 38, 62
Find the range of the data set
Answer:
Subtract the minimum data value from the maximum data value to find the data range. In this case, the data range is 62−3=59 62 - 3 = 59 .
Step-by-step explanation:
Answer:
The answer is 59
Step-by-step explanation:
help on this due soon, will give brainliest