Answer:
40% discount
Step-by-step explanation:
To find this remember the formula [tex]\frac{discount amount}{original price} = \frac{percent discount}{100}[/tex]
To find the discount amount subtract $36 from $60 which is $24.
[tex]\frac{24}{60} = \frac{x}{100}[/tex] next you have to cross multiply
24*100 = 2400 and 60*x = 60x
Now you have the equation 2400 = 60x
Divide both sides by 60 to isolate the variable
x = 40
Here is some information from the practice round for several new Click Bots.
Determine the missing values. Enter them in the table.
Then describe your strategy.
Answer/Step-by-step explanation:
✅Azure:
Clicks = 17
Time (secs) = 2
Unit rate (clicks/sec) = [tex] \frac{17}{2} = 8.5 [/tex]
✅Bronze:
Clicks = 38
Time (secs) = 4
Unit rate (clicks/sec) = [tex] \frac{38}{4} = 9.5 [/tex]
✅Camson:
Clicks = 26
Time (secs) = ? = x
Unit rate (clicks/sec) = 10.4
Thus: [tex] \frac{26}{x} = 10.4 [/tex]
Multiply both sides by x
[tex] 26 = 10.4*x [/tex]
Divide both sides by 10.4
[tex] \frac{26}{10.4} = x [/tex]
[tex] 2.5 = x [/tex]
Time (secs) = x = 2.5
✅Desert:
Clicks = ? = x
Time (secs) = 4.2
Unit rate (clicks/sec) = 8.33
Thus: [tex] \frac{x}{4.2} = 8.33 [/tex]
Multiply both sides by 4.2
[tex] x = 8.33*4.2 [/tex]
[tex] x = 34.986 [/tex]
Clicks = x ≈ 35
✅ Emerald:
Clicks = 3
Time (secs) = ? = x
Unit rate (clicks/sec) = 7.5
Thus: [tex] \frac{3}{x} = 7.5 [/tex]
Multiply both sides by x
[tex] 3 = 7.5*x [/tex]
Divide both sides by 7.5
[tex] \frac{3}{7.5} = x [/tex]
[tex] 0.4 = x [/tex]
Time (secs) = x = 0.4
✅Fuschia:
Clicks = ? = x
Time (secs) = 0.75
Unit rate (clicks/sec) = 8
Thus: [tex] \frac{x}{0.75} = 8 [/tex]
Multiply both sides by 0.75
[tex] x = 8*0.75 [/tex]
[tex] x = 6 [/tex]
Clicks = x ≈ 6
Knowing the meaning of metric system prefixes can help you write your own conversion factors. In the metric system, the base unit for mass is the gram. What do you think the conversion factor for gram-to-kilograms would be?
Answer:
1000grams = 1kilogram
Step-by-step explanation:
The kilogram is the standard international unit for measuring the mass of an object. Other lower units are the grams (g), milligrams (mg) etc.
Metric systems are systems of units for measuring quantity of an object. Since gram is a lower unit for kilogram, hence kilogram is a higher unit. The
conversion unit is expressed as;
1000grams = 1kilogram
The following system has a solution: x = 10, y = -3, z = 14. 3x + 7y - z = -5, 9x - y - 4z = 17, 5x - 12y - z = 0
Answer:
0
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
I got it right on edge
What is the slope of the line with the equation of y = 3x that passes through the point (2, 4)?
A)1
B)2
C)3
D)4
Answer:
The slope is 3
Step-by-step explanation:
hope this helps
Michael cleans 90 cars in 5 days how many cars does Michael clean per day
Answer:
Michael cleans 18 cars in one day
Step-by-step explanation:
The equation should look like this: 90/5 = x
90/5 = 18
x = 18
Hope this helps ya! Keep smiling!
Answer:
18
Step-by-step explanation:
all you have to do is divide 90 and 5
hello! can anybody help me out with this? if there are more than two answers and yours Is right, I will give you brainliest!!!!!
Answer:
I think it is D because on x, there is a jump of 2 to get from 1 to 3. Than a jump of 2 to get from 4 to 6. Then with y, jump of 4 to get from -1 to 3 than jump of 4 to get from 5 to 9
Step-by-step explanation:
The body weight of a healthy 3 month-old colt should be about μ = 60 kg. (Source: The Merck Veterinary Manual, a standard reference manual used in most veterinary colleges.)
(a) If you want to set up a statistical test to challenge the claim that μ = 60 kg, what would you use for the null hypothesis H0?
μ ≠ 60
μ > 60
μ = 60
μ < 60
(b) In Nevada, there are many herds of wild horses. Suppose you want to test the claim that the average weight of a wild Nevada colt (3 months old) is less than 60 kg. What would you use for the alternate hypothesis H1?
μ > 60
μ < 60
μ ≠ 60
μ = 60
(c) Suppose you want to test the claim that the average weight of such a wild colt is greater than 60 kg. What would you use for the alternate hypothesis?
μ = 60
μ < 60
μ ≠ 60
μ > 60
(d) Suppose you want to test the claim that the average weight of such a wild colt is different from 60 kg. What would you use for the alternate hypothesis?
μ = 60
μ ≠ 60
μ > 60
μ < 60
(e) For each of the tests in parts (b), (c), and (d), would the area corresponding to the P-value be on the left, on the right, or on both sides of the mean?
both; left; right
right; left; both
left; right; both
left; both; right
Answer:
a
The null hypothesis will be [tex]H_o : \mu = 60 \ kg[/tex]
b
The alternative hypothesis will be [tex]H_a : \mu < 60[/tex]
c
The alternative hypothesis will be [tex]H_a : \mu > 60[/tex]
d
The alternative hypothesis will be [tex]H_a : \mu \ne 60[/tex]
e
left; right; both
Step-by-step explanation:
Considering question a
The body weight of the colt is [tex]\mu = 60 \ kg[/tex]
The null hypothesis will be [tex]H_o : \mu = 60 \ kg[/tex]
Considering question b
Given that we want to test the claim that the average weight of a wild Nevada colt is less than 60 kg , then
The alternative hypothesis will be [tex]H_a : \mu < 60[/tex]
Considering question c
Given that we want to test the claim that the average weight of such a wild colt is greater than 60 kg , then
The alternative hypothesis will be [tex]H_a : \mu > 60[/tex]
Considering question d
Given that we want to test the claim that the average weight of such a wild colt is different from 60 kg , then
The alternative hypothesis will be [tex]H_a : \mu \ne 60[/tex]
Considering question e
For question b , the corresponding p-value will be on the left because the average weight is less than 60 kg
For question c , the corresponding p-value will be on the right because the average weight is more than 60 kg
For question d , the corresponding p-value will be on both because the average weight is different from 60 kg
maya wrote the expresion
If triangle ABC is similar to triangle ZXY, measure of angle A = 50, and measure of angle C = 30,
what is measure of angle X?
1) 30
2) 50
3) 80
4) 100
Answer:
4) 100
Step-by-step explanation:
If ABC is similar to ZXY,
Angle A=Z, B=X, and C=Y.
Since A=50 and C=30, we know that Z=50, and Y=30.
Using the fact that all triangle angles add up to 180 degrees,
we get 180-50-30= 4) 100
I need this answered quick. What sum is represented by the following number line?
Answer:
2[tex]\frac{3}{4} + -4\frac{1}{4} = -1\frac{2}{4}[/tex]
Step-by-step explanation:
The initial position of the blue line is 2 and 3/4. The final position (represented by the red line) is -1 and 1/2. 2 and 3/4 - 4 and 1/4 is the only thing you can subtract to get -1 and 2/4.
Answer:
2 3/4 +(-3 1/4)= -1 2/4
Step-by-step explanation:
hope you get it right
If a total of 20 cups of onions and carrots were used, how many batches did the chef make? 4 batches 5 batches 8 batches 10 batches
Answer:
The answer is 4 batches I tried it and it was right
Step-by-step explanation:
Answer:
its A i got it right
Step-by-step explanation:
-3y^*2 =-48 show work
With a full tank of gas, if you can drive 470 miles, your car can go 21 miles per gallon.
Write an equation to model this situation (use m for miles you can drive and g for gallons in tank).
introduction to linear functions
Answer:
linear functions are algebraic equations whos graphs are straight lines with unique values for their slope and y-intercept
Step-by-step explanation:
The origanal price for a pair of jeans is 32$.The sale price is 15% off the origonal price.What is the amount off the orignal price.
Answer:
$27.20
Step-by-step explanation:
32 x .15 = 4.8
32 - 4.8 = 27.2
If 6000 dollars is invested in a bank account at an interest rate of 9 per cent per
year,
Find the amount in the bank after 8 years if interest is compounded annually:
Find the amount in the bank after 8 years if interest is compounded quarterly:
Find the amount in the bank after 8 years if interest is compounded monthly:
Finally, find the amount in the bank after 8 years if interest is compounded
continuously:
Answer:
(1) $11955.38
(2) $12228.62
(3) $12293.527
(4) $12326.6
Step-by-step explanation:
Compound interest is given by
A= P( 1 + r/n)^n*t
A= Final amount
P = initial amount = 6000
r = interest rate = 9% = 0.09
n = number of times interest applied per time period
t = number of time periods elapsed
(1) Compounded annually
n = 1 , t = 8
A = 6000( 1+ 0.09/1) ^1*8
A = 6000( 1.09) ^8 = $11955.38
(2) compounded quarterly
n = 4 , t = 8
A = 6000( 1+ 0.09/4) ^4*8
= 6000( 1.0225)^32 = $12228.62
(3) compounded monthly
n = 12 , t = 8
A = 6000( 1+0.09/12)^12*8 = $12293.527
(4) compounded continuously
A = P* e^rt
r = 0.09 , t = 8
= 6000* e^0.09*8
= 6000* e^0.72 = $12326.6
The Amount according to the given scenario will be:
(1) $11955.38
(2) $12228.62
(3) $12293.527
(4) $12326.6
The given values are:
Initial amount,
P = 6000Interest rate,
r = 9% or 0.09(a)
If interest compounded annually then,
n = 1t = 8→ [tex]A = P(\frac{1+r}{n} )^n\times t[/tex]
[tex]= 6000(\frac{1+0.09}{1} )^1\times 8[/tex]
[tex]= 11955.38[/tex] ($)
(b)
If interest compounded quarterly then,
n = 4t = 8→ [tex]A = P(\frac{1+r}{n} )^n\times t[/tex]
[tex]= 6000(\frac{1+0.09}{4} )^4\times 8[/tex]
[tex]= 12228.62[/tex] ($)
(c)
If interest compounded monthly then,
n = 12t = 8→ [tex]A = P(\frac{1+r}{n} )^n\times t[/tex]
[tex]=P(\frac{1+0.09}{12} )^{12}\times 8[/tex]
[tex]= 12293.527[/tex] ($)
(d)
If interest compounded continuously then,
r = 0.09t = 8→ [tex]A = P\times e^{rt}[/tex]
[tex]= 6000\times e^{0.09\times 8}[/tex]
[tex]= 6000\times e^{0.72}[/tex]
[tex]= 12326.6[/tex] ($)
Thus the answers above are appropriate.
Learn more:
https://brainly.com/question/15686863
1/8 divided by ? = 1/40
Answer:
It would by 1/8 divided by 5! Which will equal 1/40
Step-by-step explanation:
Find the maximum and minimum values of the function g ( θ ) = 5 θ − 6 sin ( θ ) on the interval [ 0 , π /2 ]
Answer:
Minimum value of the given function is 0
Maximum value of the given function
[tex]\frac{5\pi -12}{6}[/tex]
Step-by-step explanation:
Step(i):-
Given function g ( θ ) = 5 θ − 6 sin ( θ ) ...(i)
Differentiating equation (i) with respective to 'θ'
g¹ ( θ ) = 5 − 6 cos ( θ ) ...(ii)
g¹ ( θ ) = 5 − 6 cos ( θ ) =0
5 = 6 cos ( θ )
cos ( θ ) = 5 /6
Step(ii):-
Again Differentiating equation (ii) with respective to 'θ'
g¹¹ ( θ ) = − 6 (-sinθ ) = 6sinθ
Given interval
θ = 0 and θ= π/2
g ( 0 ) = 5 (0) − 6 sin ( 0 ) = 0
g(π/2) = 5(π/2) - 6 sin (π/2)
= 5(π/2) - 6
= [tex]\frac{5\pi -12}{6}[/tex]
HELLLPPP!!! how many gallons of oil were introduced into the gulf of ecosystem in 7 weeks?
the spill lasted for approximately 28 weeks, how much oil entered into the gulf due to the disaster?
Manuel makes $8 per hour. He has worked 12 hours so far this week. How much has he made so far this week? Write an algebraic expression that describes how much he makes for any number of hours of work.
Answer:
Step-by-step explanation:
amount earned in 1 hr = $8
therefore, amount earned in 12 hrs = 12 x 8 = 96
let the amount earned in 1 hr be x
therefore, the amount earned in 12 hours = 12x
Hope this helps
plz mark as brainliest!!!!!!
Help, please........
Answer:
When multiplying exponents you don't actually multiply you add the value of the exponents, the correct answer is 6x^4y^6
Step-by-step explanation:
You have $550 in a savings account that earns simple interest each year. How
much will be in your account in 10 years?
At a rate of 5 1/4%
Answer:
you will have $838.75
Step-by-step explanation:
the interest will be 288.75
A number is greater than -4 and less than 9. what is the least possible integer value of this number?
A. 8
B. 10
C. -3
D. -5
Answer:
ther is no answer above
Step-by-step explanation:
b/c the least possible inyeger is 12
thes are -3,-2,-1,0,1,2,3,4,5,6,7,8
6√-20
Simplify the equation in simplest radical form
≅
Answer:
12i sqrt5
Step-by-step explanation:
that is your answer so brainliest please
A car travels 120 miles in 3 hours. What is the constant speed of the car in miles per hour?
Answer: the car travels 40 miles per hour
Step-by-step explanation: First you have to set the ratio up as 120 miles over 3 hours. After you do that you need to divide 120 by 3 which will give you for which gives you 40 miles per hours
Evaluate the expression 21 + 2w for / = 5.7 and w = 6.2. Enter your answer in the box.
6.2
Answer:
23.8
Step-by-step explanation:
2l+2w for l=5.7 and w=6.2
2*5.7+2*6.2 first multiply
11.4+12.4 then add
23.8
Inflation and Interest Rates: Tutorial
22 of 25
Save & Exit
Question
Consider a simple economy where the basket of goods used to calculate the CPI contains two items shampoo and soap.
The basket consists of 1 bottle of shampoo and 2 bars of soap. The prices are shown in the table.
Year Price of a Bottle of Shampoo Price of a Bar of Soap
Year
36 50
$1.25
Year
$5.00
$1.30
Type the correct answer in the box. Round your answers to two decimal places, if necessary.
The CPI for year 2 is
Submit
Answer:102.22
Step-by-step explanation:
Answer:
2.22%
Step-by-step explanation:
Recall that year 1, the base year, has a CPI of 100.
From question 1, we know that the CPI of year 2 is 102.22.
To find the rate of inflation, find the percent change from year 1 to year 2:
102.22-100= 0.0222, or 2.22%
_________
100
x/-4 =9 i need help with this fraction.
Answer:
= -36
Step-by-step explanation:
um is this what your looking for?
What is the equation of the line that passes through the point (-4, -7) and has a
slope of 5/2 ?
Answer:
2y -5x=6
Step-by-step explanation:
Equation of a line is (y-y1) =m(x-x1)
(y+7) =(5/2)(x+4)
2(y +7) = 5(x+4)
2y +14 = 5x +20
2y - 5x = 6
You pay 6% sales tax on a $250 purchase. How much was the tax?
Answer:
15
Step-by-step explanation:
To find the tax multiply the cost of the item by 6%
250 * 6%
Change to decimal form
250 *.06
15
Answer:
15
Step-by-step explanation:
convert the percentage to a decimal
6/100 = 0.06
then times by the number you given
6% x 250
