Answer:
118.25
Step-by-step explanation:
What is the value of x?
Answer:
53
Step-by-step explanation:
This is because the total angle is 90, which is a complementary angle. So what you do is you subtract the total which is 90 from 37 to find x which is 53
Dana invests £5000 for 4 years in a savings account She gets 2% per annum compound interest in the first year, then x% for 3 years, Dana has £5508.23 at the end of 4 years, work out the value of x.
Answer:
£1,330.46
Hope this helps, mate!
Step-by-step explanation:
Hope this helps, mate! :)
help worth a lot of pounts
You want to buy a new computer that costs $2250. You check your savings-account balance and realize that to buy the computer, you will need $125 more than what you have in your savings account. How much money do you have in your savings account?
Equation:
Define the Variable:
How much money in your savings account?
Answer:
See below.
Step-by-step explanation:
Let x = amount of money you have in your account.
The money in your account plus the $125 extra that you need equals the total cost of the computer.
The equation is:
x + 125 = 2250
Now we solve the equation by subtracting 125 from both sides.
x = 2125
Answer: You have now $2125 in your account
Answer:
$2125Step-by-step explanation:
help pls i cant figure this out
Answer:
answer is 1 metre
Step-by-step explanation:
We can assume the width be 'x'
Now we would get the equation
(2x+10)(2x+14)=192
on solving we get x=1
Find the area if the trapezoid. THANK YOU!
Answer:
4x^3 - 22x^2 + 6x + 20
Step-by-step explanation:
((b1+b2)/2)(h)
A and B are complementary. If B = 26°, what is the measure of A?
26°
154°
64°
74°
Answer:
64°
Step-by-step explanation:
When angles are complementary, they can be added together to equal 90°.
90° - 26° = 64°
The measure of angle A is 64°.
Solve each equation.
Equation 1: x=32
Equation 2: y=28
Answer:
x = 32
x = 28
Step-by-step explanation: hope this helps
What percent of 72 is 9?
O 1/8% O 1 1/4% O 12 1/2% O 125%
Answer:
1/8%
Step-by-step explanation:
just divide the 72 and 9 , the 9 divide it as a percentage
Step-by-step explanation:
100% = 72
1% = 100%/100 = 72/100 = 0.72
9 is that many % as 1% fits into it.
so,
9/0.72 = 12.5% = 12 1/2 %
the third answer option is correct.
Find a linear equation with two variables that, together with the
equation 10x + 5y = 1, would comprise a system
without a solution.
Answer:
10x+5y=2
Step-by-step explanation: You have the equation 10x+5y=1 and from the problem, we are trying to find an equation that does not produce a solution with 10x+5y=1. To do this know 1 is your y-intercept and if you put 10x+5y=1 into slope-intercept form you'll get y=-2x+1/5. Solve the problem know that you can use any number besides 1 on the right side and have the same slope to fit the question. What I mean is that let's say I have 10x+5y=2, I put it into a slope-intercept form I'll have y=-2x+2/5. The two equations y=-2x+1/5 and y=-2+2/5 will not meet because their slopes are PARALLEL. So in short have a different y-intercept but the same slope to not get a solution. Additional note you could have other y-intercepts such as 3,4,5,6,7,8, or 9 in your standard form equation 10x+5y= to get a equation that does not make a solution with 10x+5y=1.
Help pleaseee i am awful at math
Step-by-step explanation:
use the above process and answer is $3.60
A simple random sample of 90 is drawn from a normally distributed population, and the mean is found to be 138, with a standard deviation of 34. What is the 90% confidence interval for the population mean? Use the table below to help you answer the question. Confidence Level 90% 95% 99% z*-score 1. 645 1. 96 2. 58 Remember, the margin of error, ME, can be determined using the formula M E = StartFraction z times s Over StartRoot n EndRoot EndFraction. 128. 75 to 147. 25 130. 98 to 145. 02 132. 10 to 143. 90 137. 38 to 138. 62.
The 90% confidence interval for the population mean of the considered population from the given sample data is given by: Option C: [130.10, 143.90]
Suppose that we have:
Sample size n > 30Sample mean = [tex]\overline{x}[/tex]Sample standard deviation = sPopulation standard deviation = [tex]\sigma[/tex]Level of significance = [tex]\alpha[/tex]Then the confidence interval is obtained as
Case 1: Population standard deviation is known[tex]\overline{x} \pm Z_{\alpha /2}\dfrac{\sigma}{\sqrt{n}}[/tex]
Case 2: Population standard deviation is unknown.[tex]\overline{x} \pm Z_{\alpha /2}\dfrac{s}{\sqrt{n}}[/tex]
For this case, we're given that:
Sample size n = 90 > 30Sample mean = [tex]\overline{x}[/tex] = 138Sample standard deviation = s = 34Level of significance = [tex]\alpha[/tex] = 100% - confidence = 100% - 90% = 10% = 0.1 (converted percent to decimal).At this level of significance, the critical value of Z is: [tex]Z_{0.1/2}[/tex] = ±1.645
Thus, we get:
[tex]CI = \overline{x} \pm Z_{\alpha /2}\dfrac{s}{\sqrt{n}}\\CI = 138 \pm 1.645\times \dfrac{34}{\sqrt{90}}\\\\CI \approx 138 \pm 5.896\\CI \approx [138 - 5.896, 138 + 5.896]\\CI \approx [132.104, 143.896] \approx [130.10, 143.90][/tex]
Thus, the 90% confidence interval for the population mean of the considered population from the given sample data is given by: Option C: [130.10, 143.90]
Learn more about confidence interval for population mean from large samples here:
https://brainly.com/question/13770164
Diana is trying to choose a broker who will help her purchase a par value $1,000 corporate bond from deegan pharmaceuticals. broker p charges a commission of 4.4% of the market value of each bond purchased, and broker q charges a flat fee of $32.50 for each bond purchased. if bonds from deegan pharmaceuticals are selling at 104.682, which broker will give diana the better deal, and by how much? a. broker p’s commission will be $9.47 less than broker q’s. b. broker p’s commission will be $27.89 less than broker q’s. c. broker q’s commission will be $13.56 less than broker p’s. d. broker q’s commission will be $11.50 less than broker p’s.
Broker q’s commission with a charge of $32.50 will be $11.50 less than broker p’s commission of 4.4%
What is a bond?A bond is a fixed-income instrument that represents a loan made by an investor to a borrower.
Par value of bond = $1,000
Commission on this by broker p= 4.4% = 1000*(4.4)/100= $44
So, the total price spent to purchase this bond = $1044
Par value of bond = $1,000
Commission on this by broker q= $32.50
So, the total price spent to purchase this bond =1000+32.50 = $1032.50
Difference between both deals = 1044-1032.50 = $11.50
Therefore, broker q’s commission will be $11.50 less than broker p’s.
To get more about bonds visit:
https://brainly.com/question/25965295
Answer:
C. Broker Q's commission will be $13.56 less the Broker P's.
Step-by-step explanation:
I just took the test and got it right.
If the area of a circular cricket ground is 15,400 m2, then find its circumference. (Take π≈22/7)
Answer:
440m^2
Step-by-step explanation:
15400/(22/7)=4900, which is r^2, so r=70. Now we can find the circumference by doing 22/7*2*70, which is 440.
Find the radius of the circle:
Area of a circle = pi x r^2
15,400 = 22/7 x r ^2
Divide both sides by 22/7
4900 = r^2
Take the square root of bothe sides:
R = 70
The radius of the circle is 70 meters.
now find the circumference:
Circumference = 2 x pi x radius
Circumference = 2 x 22/7 x 70
Circumference = 440 meters
answer: 440 meters
sue got to the library at 10:30 am.
she stayed at the library for 40 minutes
then she walked home.
sue took 1[tex]\frac{1}{4}[/tex] hours to walk home
at what time did sue get home?
Answer:
he arrived at 11:05 am.....
Answer:
12:25pm
Step-by-step explanation:
10:30 + 40 minutes = 11:10
11:10 + 1hr and 15 mins = 12:25
Which expression is equivalent to 16 4 6 a x , when a > 0 and x > 0?
The expression of [tex]\sqrt{[/tex](16a^4x^6) is an algebraic expression
The equivalent expression of [tex]\sqrt{[/tex](16a^4x^6) is 4a^2x^3
How to determine the equivalent expression?The expression is given as:
[tex]\sqrt{[/tex](16a^4x^6)
Expresss 16 as the square of 4
[tex]\sqrt{[/tex](16a^4x^6) = [tex]\sqrt{[/tex](4^2a^4x^6)
Evaluate the square root of each factor in the expression
[tex]\sqrt{[/tex](16a^4x^6) = 4a^2x^3
Hence, the equivalent expression of [tex]\sqrt{[/tex](16a^4x^6) is 4a^2x^3
Read more about equivalent expressions at:
https://brainly.com/question/2972832
The girls bought 20 blue hair bows, lost 4 bows, and gave 3 away. What percent of the bows do the girls still have?
Answer:
65%
Step-by-step explanation:
4 + 3 = 7
7/20 = 35/100
100 - 35 = 65
I may be wrong but yknow
The perimeter of a rectangular
painting is 18 feet. It is 4 feet wide.
How high is it?
feet
Answer:
5 ft
Step-by-step explanation:
Since we have a rectangle, we know for sure that perimeter = double the width and double the height. Algebraically, that looks like:
P = 2W + 2H
Let's sub in the given values, P and W:
18 = 2(4) + 2H
Now, let's solve for the height, H:
18 = 8 + 2H
10 = 2H
10/2 = H
5 = H
I hope this helps!
a coach is buying snacks for 22 players at a soccer match. She pays a total of $77 to buy each player a bottle of water and an energy bar. The price of one energy bar is $2. w equal the price of a bottle of water. Write an equation that represents the situation.
Answer:
$1.5 per water bottle.
Step-by-step explanation:
One energy bar is equal to $2.
$2 * 22 players is equal to $44.
$44 - $77 is equal to $33.
$33 ÷ 22 players is $1.5.
the reason I divided $33 by 22 players is because you need to know how many dollars did he pay for each bottle of water so you divide the amount of dollars by the amount of players to get the amount of dollars of each water bottle.
Why didn't the physics teacher marry the biology teacher
Answer: There wasn't chemistry in them?
XD I dunno ._. >w<
Please help me
What is the difference between 14n +7 and 8n + 3/4
PLEASE HELP ASAP!!! Draw the image of the following segment after a dilation centered at the origin with a scale factor of 5/3.
Help please. Thank you
Step-by-step explanation:
use the formula and simply solve
solve for Surface Area
Answer:
325.76
Step-by-step explanation:
72+104+149.76
Find the equation to graph when 5x-4<0
Hey there!
5x-4<0
=> 5x < 0 + 4
=> 5x < 4
Divide both sides by 5
=> 5x/5 < 4/5
=> x < 4/5
x < 0.8
Graph in image
Can someone please help me out with this question?
Answer:
A. x=6, y=3
Find the point where the two lines intersect and find the x and y coordinates where they intersect.
What is the volume of this figure?
6004 in³
6624 in³
9936 in³
10,488 in³
The volume of the figure is the amount of space in the figure
The volume of the figure is 10488 cubic inches
How to determine the volume?The figure is a composite figure, and it contains:
A rectangular prism A triangular prismThe volume (V1) of the rectangular prism is:
V1 = Length * Width * Height
V1 = 18 in * 23 in * 16 in
V1 = 6624 cubic inches
The volume (V2) of the triangular prism is:
V2 = 0.5 * Base * Width * Height
V2 = 0.5 * 23 in * 16 in * 21 in
V2 = 3864 cubic inches
Add the volumes of both figures
V = V1 + V2
V = 6624 cubic inches + 3864 cubic inches
V = 10488 cubic inches
Hence, the volume of the figure is 10488 cubic inches
Read more about volumes at:
https://brainly.com/question/1972490
Answer:
The answer is D: 10488
Step-by-step explanation:
.For any positive integer n, prove that n^3 - n is divisible by 6.
Answer:
Step-by-step explanation:
Use the ordered pairs below. (10,20), (11, 21), (12, 22) What patterns are used to create the ordered pairs?
Answer:
The x and y points are increasing by 1
Step-by-step explanation:
(x + 1, y + 1)
The x and y points are increasing by 1
(10, 20) => (10 + 1, 20 + 1) => (11, 21)
(11, 21) => (11 + 1, 21 + 1) => (12, 22)
(10, 20), (11, 21), (12, 22)
Hope this helps!
How long will it take Eniola to save $5,000 if she started with $500 and found a rate of 6. 2%? Round to the nearest whole number
Answer:
38.28 years
Step-by-step explanation:
The computation of the time period is shown below:
Given that
RATE = 6.2%
PV = $500
PMT = $0
FV = $5,000
The formula is shown below:
= NPER(RATE;PMT;-PV;FV;TYPE)
After applying the above formula, the time period is 38.28 years
Hence, in order to save $5,000 it would take 38.28 years
Joslynn makes $8.25 per hour babysitting. If she made $123.75 last week, then how
many hours did she work last week?
Answer:
We already know that Joslynn makes $8.25 per hour.
Equation:
123.75 divided by 8.25= worked hours
123.75 divided by 8.25 = 15 hours
So last week Joslynn worked 15 hours to make $123.75.