Answer:
7.8%
Step-by-step explanation:
can I get Brainliest???
The percentage of the number of milligrams and Carrie’s body anytime after they both have taken the medication is less than 100%.
How to find how much percent 'a' is of 'b'?Suppose a number is 'a'
Suppose another number is 'b'
We want to know how much percent of 'b' is 'a'.
Then, it is calculated as:
[tex]\dfrac{a}{b} \times 100[/tex]
(in percentage)
We are given that;
Carrie is prescribed 600 mg of a medication.
The medication decays at a rate of 40% per day.
Now,
Let's first find the amount of medication remaining in Carrie's body after taking the medication for 5 days:
m = 600(0.6)^5
m ≈ 86.18 mg
To find the percentage of the amount of medication in Carrie's body after 5 days compared to anytime after they both have taken the medication, we need to find the amount of medication in Carrie's body at any given time, t. We can use the same formula and substitute t for d:
m = 600(0.6)^t
Now, we can calculate the percentage of the amount of medication in Carrie's body after 5 days compared to any time after they both have taken the medication:
(m after 5 days / m at any time) x 100%
= (86.18 / 600(0.6)^t) x 100%
= (0.1436 / 0.6^t) x 100%
Since we don't know the exact value of t, we can't simplify this expression any further. However, we can make some observations:
As t increases, the denominator (0.6^t) gets smaller, so the fraction as a whole gets larger.
When t is very large, the fraction approaches 0, which means that the amount of medication in Carrie's body approaches 0, or she has eliminated all the medication from her body.
Therefore, we can conclude that the percentage of the amount of medication in Carrie's body after 5 days compared to any time after they both have taken the medication will be less than 100%,
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How long will it take $500 to double at a simple interest rate of 5%? Explain how you found your answer.
HELP IS GREATLY APPRECIATED!
Answer:
20 years
Step-by-step explanation:
Simple interest is only interest on the original principal amount. Every year, you earn the same interest amount.
At 5% simple interest, you earn 5% of the principal each year.
In any year, you earn
5% of $500 = 5% * 500 = 0.05 * 500 = $25
Each year, you earn $25 in interest.
How many years will it take to earn a full $500 by earning $25 per year?
$500/$25 = 20
It takes 20 years to double the $500.
Jodi is cutting out pieces of paper that measure 8 1/2ninches by 11 inches from a large sheet of paper that has a area of 1,000 square inches
Answer:
93.5 in^2
Step-by-step explanation:
we know that
Jodi is cutting out pieces of paper that measure inches by inches
The area of each piece that jodi is cutting out is equal to the area of a rectangle
I need to know how to do slope
Answer:
slope is easy it is rise over run
Step-by-step explanation:
rise/run
rise means up
run means move sideways
Answer:
Slope = rise/run
Step-by-step explanation:
Example: (6,3) (2, 2)
Add the x's and divide by two and then add the y's and divide by two.
6 + 2 = 8
8/2 = 4
3 + 2 = 5
5/2 = 2.5
So, the slope would be 4/2.5
What is the sum of 2.5x10^4 and 3.4 x 10^4
Answer: 59,000
Step-by-step explanation:
(2.5 * 10^4) + (3.4 * 10^4)
(2.5 * 10,000) + (3.4 * 10,000)
25,000 + 34,000
59,000
10 • 10 • 10 • 10 = 10,000
(2.5 • 10,000) + (3.4 • 10,000)
25,000 34000
25,000 + 34,000 = 59,000
Simplify the expression
2v+8v-5v
Answer:
5v
Step-by-step explanation:
First you convert all the subtraction to addition: 2v+8v+(-5v)
Then you combine like terms: 2v+3v:
5v
2v + 8v - 5v combine like terms
= (2 + 8 - 5)v
= (10 - 5)v
= 5v
What is total cost of three pairs of socks priced at 1.29 a pair, with a 6% sales tax?
Answer:
$4.10
Step-by-step explanation:
Subtotal = (3 pairs of socks) x (price of socks):
Subtotal = (3 x $1.29) = $3.87
To get the overall total, you add tax, which is 6% of the subtotal:
6% of the subtotal = 0.06 x subtotal = 0.06 x $3.87 = $0.23
Subtotal + tax = $3.87 + $0.23 = $4.10
a pair of shoes cost x dollars. if there is a 30% discount, write the expression to show final amount
Answer:
f = 0.30(x)
Step-by-step explanation:
Let x = # of dollars
Let f = final amount
Note that 30% is the same as 30/100, which in decimal form is 0.30
Set the equation.
Each pair of shoes costs x amount, in which it is decreased by 30%, which leads to the cost in f amount.
~
Rewrite the rational exponent as a radical.
(5*3/4 power)2/3 power
[tex]Use:\\\sqrt[n]{a^m}=a^{\frac{m}{n}}\\\\(a^n)^m=a^{nm}\\\\\left(5^{\frac{3}{4}}\right)^{\frac{2}{3}}=5^{\frac{3}{4}\cdot\frac{2}{3}}=5^{\frac{1}{2}\cdot\frac{1}{1}}=5^{\frac{1}{2}}=\sqrt[2]{5}=\boxed{\sqrt5}[/tex]
Find the area of a rectangle with length (2x + 3) and width (x - 4).
A) 2x2 - 11x - 12
B) 2x2 - 5x + 12
C) 2x2 + 11x + 12
D) 2x2 - 5x - 12
Answer:
Area = 2x^2 -5x-12
Step-by-step explanation:
Area = length * width
Area = (2x+3) * (x-4)
We will use the FOIL technique to multiply the terms.
First: 2x*x = 2x^2
Outer: 2x* -4 = -8x
Inner: 3*x = 3x
Last = 3* -4 = -12
Add the 4 terms together: 2x^2 -8x+3x -12 = 2x^2 -5x-12
Area = 2x^2 -5x-12
Answer: 2x^2 - 5x - 12
Step-by-step explanation: The correct answer is 2x^2 - 5x - 12. To find the area of a rectangle you multiply the length by the width. So you multiply (2x + 3)(x - 4) using the FOIL method.
5 + 2 root 3 / 7 + 4 root 3 equals to a + b root 3
[tex]\dfrac{5+2\sqrt3}{7+4\sqrt3}=\dfrac{5+2\sqrt3}{7+4\sqrt3}\cdot\dfrac{7-4\sqrt3}{7-4\sqrt3}\\\\\text{use}\ (a+b)(a-b)=a^2-b^2\\\\=\dfrac{(5+2\sqrt3)(7-4\sqrt3)}{7^2-(4\sqrt3)^2}\\\\\text{use distributive property}\\\\=\dfrac{(5)(7)+(5)(-4\sqrt3)+(2\sqrt3)(7)+(2\sqrt3)(-4\sqrt3)}{49-4^2(\sqrt3)^2}\\\\=\dfrac{35-20\sqrt3+14\sqrt3-8(3)}{49-16(3)}=\dfrac{35-6\sqrt3-24}{49-48}=\dfrac{11-6\sqrt3}{1}\\\\=11-6\sqrt3\\\\11-6\sqrt3=a+b\sqrt3\to\boxed{a=11\ and\ b=-6}[/tex]
A group of friends went to lunch, and their bill was $132.50. An 18% gratuity was added to the bill. What was the total amount of the bill?
Answer:
$156.35
Step-by-step explanation:
we know that
A group of friends went to lunch, and their bill was $132.50
In this problem
$132.50 represent the 100%
100%+18%=118%
so
using proportion
Find out the total amount that represent 118%
Let
x ----> the total amount of the bill
[tex]\frac{\$132.50}{100\%}=\frac{x}{118\%}\\\\x=132.50(118)/100\\\\x=\$156.35[/tex]
Answer:
Step-by-step explanation:
The answer is $156.35
The diameter of a circle is 6 units. What is the radius of the circle?
Answer:
The radius of the circle is 3 unit.
Step-by-step explanation:
Given : The diameter of a circle is 6 units.
To find : What is the radius of the circle?
Solution :
The radius of the circle is [tex]r=\frac{d}{2}[/tex]
Where, d is the diameter d=6 units
Substitute the value,
[tex]r=\frac{6}{2}[/tex]
[tex]r=3[/tex]
Therefore, the radius of the circle is 3 unit.
Solve the inequality for u.
.
Simplify your answer as much as possible.
Answer:
u ≤ 4
Step-by-step explanation:
The given inequality
15 ≤ 39 - 6u
Subtract 39 from both sides, we get
15 - 39 ≤ 39 - 6u - 39
-24 ≤ -6u
Dividing both sides by -6, we get
4 ≥ u [Remember, when we divide by negative, the direction of
the inequality changes]
Which is u ≤ 4.
Thank you.
Answer:
U is greater than or equal to 4
Step-by-step explanation:
(pretend theres a line under the <)
15 < 39 - 6u
subtract both sides by 39 to get -6u by itself
-24 < -6u
divide both sides by -6 and get u completely by itself
4 < u
u is greater than or equal to 4.
5. Your brother has $2,000 saved for a vacation. His airplane ticket is $637. Write and solve an inequality to find out how much he can spend for everything else.
Answer:
2000>= 637+ x
1363>= x
He can spend no more than $1363 on everything else
Step-by-step explanation:
If he has 2000 dollars to spend in total, that will go on one side of the inequality. Everything he spends goes on the other. 2000 is the maximum he can spend. He is going to sped 637 on an airline ticket plus x on other expenses.
2000>= 637+ x
Subtract 637 from each side
2000-637 >= 637-637 +x
1363>= x
To find out how much your brother can spend for everything else, subtract the cost of the airplane ticket from his total savings. Your brother can spend up to $1,363 for everything else.
To find out how much your brother can spend for everything else, we need to subtract the cost of the airplane ticket from his total savings. Let's say his total savings is $2,000 and the cost of the airplane ticket is $637. We can write the inequality as:
2000 - 637 ≤ x
Simplifying the inequality, we have:
1363 ≤ x
Therefore, your brother can spend up to $1,363 for everything else.
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Samantha and Kylee are bakers. If Samantha can decorate a cake in 5 hours and Kylee 8 hours to decorate a cake, how long will it take if they worked together. Explain each step in solving this equation.
Answer:
3 1/13 hours
Step-by-step explanation:
Lets create a variable:
Samantha and Kylee together (NOT the answers) = [tex]T_{SK}[/tex]
Now lets create an equation:
[tex]1/T_{SK} = 1/T_{S} +1/T_{K}[/tex]
Let's look at the time Samantha and Kylee takes to decorate the cake by themselves:
Samantha: 5 hours
Kylee: 8 hours
Let's create an equation to find the answer now:
[tex]1/T_{SK} = 1/5 + 1/8[/tex]
Note that now that's its basically algebra, change the variable to [tex]x[/tex] like this:
[tex]1/x = 1/5 +1/8[/tex]
Now let's find the LCM (Lowest Common Multiple) of 5, 8, and [tex]x[/tex] which is 40[tex]x[/tex].
[tex]40 = 8x + 5x[/tex]
[tex]40 = 13x[/tex]
[tex]13x = 40[/tex]
[tex]x = 40/13[/tex]
[tex]x[/tex] = 3 1/13 hours
Please note that the step where it swapped 13[tex]x[/tex] and 40 is only my way, it is not necessary, it's just my own comfort.
Simplify (√3)(^5√3)
A. 3^1/10
B. 3^3/5
C. 3^9/10
D. 3^7/10
[tex]\sqrt[n]{a}=a^{\frac{1}{n}}\\\\\text{Therefore}\\\\\sqrt3=3^\frac{1}{2}\\\\\sqrt[5]{3}=3^\frac{1}{5}\\\\\text{We have}\\\\(\sqrt3)(\sqrt[5]3)=3^\frac{1}{2}\cdot3^\frac{1}{5}\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=3^{\frac{1}{2}+\frac{1}{5}}=3^{\frac{5}{10}+\frac{2}{10}}=3^{\frac{7}{10}}\\\\Answer:\ \boxed{D.\ 3^{\frac{7}{10}}}[/tex]
Pls help match the following
Answer:
Statement Reason
1. <R=<Q, AS=AT Given
2. <5=<6 Base <'s of isosceles triangles are =
3. <4, <5 are supplementary Exterior sides in opposite rays
and <6, <7 are supplementary
4. <4=<7 Two <'s supplementary to equal <'s are =
5. Triangle RAS congruent to AAS
Triangle QAT
6. RS=QT CPCTE
Step-by-step explanation:
Statement
1. <R=<Q, AS=AT. This is given.
2. <5=<6, because base angles of isosceles triangles are congruent.
3. <4, <5 are supplementary and <6, <7 are supplementary, because they have exterior sides in opposite rays.
4. <4=<7, because two angles supplementary to equal angles are congruent
5. Triangle RAS congruent to Triangle QAT because Angle Angle Side (AAS)
6. RS=QT, because Congruent Parts in Congruent Triangles are equal (CPCTE)
PLEASE HELP! I know it’s an easy question, but I don’t remember how to do this. Help
Answer:
Your range is (1,2,4,8)
A car dealer earns a 4% commission on all cars sold. Last month, he earned $7,200 in commission. He wants to earn $8,000 in commission this month. What increase in total sales does he need in order to reach his goal for this month?
Answer:
$800 is the answer because you subtract 7200 from 8000 and you get 800
Final answer:
To earn an $8,000 commission at a rate of 4%, the car dealer needs to increase his total sales by $20,000, from $180,000 last month to $200,000 this month.
Explanation:
The car dealer wishes to increase his commission from $7,200 to $8,000. Since he earns a 4% commission on all cars sold, we first need to determine how much his sales were last month. To do this, we divide his commission for the last month by the commission rate:
Last month's sales = Commission / Commission rate = $7,200 / 0.04 = $180,000
To earn $8,000 this month, we need to find the total sales required:
This month's sales = Desired commission / Commission rate = $8,000 / 0.04 = $200,000
To find the increase in total sales needed, we subtract last month's sales from this month's sales target:
Required increase in sales = This month's sales - Last month's sales = $200,000 - $180,000 = $20,000
Can someone give me the answers for these?
Answer:
a. He started with $50 in the the account.
b. The account grow by $10 dollars each week
c see graph
Step-by-step explanation:
y = 50 + 10x
We can rewrite this as
y = 10x+50
This is in the form y = mx+b
where m = 10 which is the slope and b =50 which is the y intercept
The y intercept = 50 is the starting value or the value when x = 0
a. He started with $50 in the the account.
The slope is how much it grows by as x grows. As x increase by 1 , y will grow by the slope or 10, so the account will grow by 10 each week.
b. The account grow by $10 dollars each week
c see graph
The data in the table represents a company's profit based on the number of items produced.
Which equation best represents the data?
A) y= -1.026x^2 + 1016.402x - 162075
B) y= -1.036x^2 + 1024.771x - 163710
C) y= 298.214x - 66317.667
D) y= 196.2x - 18710
Answer:
(A) y= -1.026x^2 + 1016.402x - 162075
Step-by-step explanation:
Given is the data 'x' -Items produced. The equation that satisfies the given data can be found by simply substituting the values of x in the given equations. For example:
Substituting the value of x= 100 in the given equations,
A) y= -1.026(100)^2 + 1016.402(100)-162075= -70,500
Similarly you can check the values on the rest of the equations and if they satisfy the equation, then the given is the required equation.
Answer:
(A)
Step-by-step explanation:
WE are given the data which represents the company's profit based on number of items produced.
The equation which best represents the data can be found out by substituting the values of x in the given equations.
So,substituting x=100 in first equation, we have:
[tex]y=-1.026x^{2} +1016.402x-162075[/tex]
[tex]y=-1.026(100^{2})+1016.402(100)-162075[/tex]
[tex]y=-10260+101640.2-162075[/tex]
[tex]y=-70500[/tex]
which satisfies the equation. Hence, option A satisfies.
We can also substitute the different values of x in the equations to check whether it satisfies or not.
Solve the equation for y
Answer: y=1/7am -1/7
Step-by-step explanation:
First: 3y+4y+z =am - z
Second: 7y=am - z
Third: y=1/7am -1/7z
Finally: y=1/7am -1/7
Find the slope of the line represented by the table of values. A.1/2 B.1 C.2 D.4
X Y
-1 1
1 2
3 3
5 4
7 5
Answer:
The correct option is A.
Step-by-step explanation:
From the given table it is noticed that the line is passing through the points (-1,1), (1,2), (3,3), (5,4) and (7,5).
Slope of a line is calculated as
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Choose any two pair of coordinates from the given points.
Let the line is passing through (5,4) and (7,5).
[tex]m=\frac{5-4}{7-5}[/tex]
[tex]m=\frac{1}{2}[/tex]
Therefore the slope of line is [tex]\frac{1}{2}[/tex] and option A is correct.
Answer:
The actual answer is C
Step-by-step explanation:
what is the rule for adding and subtracting monomials
Answer:
As shown, both terms are equal to 192. To add two or more monomials that are like terms, add the coefficients; keep the variables and exponents on the variables the same. To subtract two or more monomials that are like terms, subtract the coefficients; keep the variables and exponents on the variables the same.
Step-by-step explanation:
I don’t understand
Answer:
1. 1:2
2. 2:2
3. 2:5
4. 2:10
5. 4:10
Step-by-step explanation:
what is b if the expression is (4/5 divided by b)+b please explain this = 27
Answer:
b = 26.97 or b = 0.03
Step-by-step explanation:
[tex]\frac{\frac{4}{5} }{b} +b=27[/tex]
[tex]\frac{4}{5b} +b=27[/tex]
[tex]\frac{4+5b^{2} }{5b} =27[/tex]
[tex]4+5b^{2} =135b[/tex]
[tex]5b^{2} -135b+4=0[/tex]
[tex]b=\frac{135+\sqrt{18225-80} }{10}[/tex] or
[tex]b=\frac{135-\sqrt{18225-80} }{10}[/tex]
b = 26.97 or b = 0.03
simplify 5^-8 ×5^4 as a fraction
Answer:
Answer is: 5^ -8 * 5^4 = 5^-4
Step-by-step explanation:
To simplify : 5^ -8 * 5^4
This can also be written as :
5^ -8 * 5^4 = 1/5^8 * 5^4
or 5^ -8 * 5^4 = 5^4 / 5^8
or 5^ -8 * 5^4 = 5^(4 - 8)
or 5^ -8 * 5^4 = 5^-4
Hence we got 5^ -8 * 5^4 = 5^-4
Rachael’s patio has an area of 290 square feet. If the patio is shaped like a square, what is the approximate side length?
A. about 72.5 feet
B. about 145 feet
C. about 17 feet
D. about 24 feet
Answer:
C. about 17 feet
Step-by-step explanation:
Since, we know that,
The area of a square is,
[tex]A=s^2[/tex]
Where,
s = side length,
If A = 290 square feet,
[tex]\implies 290 = s^2[/tex]
[tex]\implies s = \sqrt{290}=17.0294\approx 17[/tex]
Hence, the side length of the patio would be about 17 ft,
OPTION C is correct.
A garden table and a bench cost $804 combined the garden table costs $46 less than the bench. What is the cost of the bench
Answer:
The cost of the bench is 425 dollars.
Step-by-step explanation:
Let x represent the garden table.
Let y represent the bench.
x + y = 804
x = y - 46
Use the substitution method.
y - 46 + y = 804
2y - 46 = 804
Add 46 to both sides.
2y = 850
Divide both sides by 2.
y = 425
Answer:
The cost of the bench is 425 dollars.
Jerome works as a waiter. He earns $80 each weekend plus 15% in tips on meals served. Jerome served $725 worth of meals last weekend. How much did Jerome earn last weekend? Please show all steps :)
Answer:
well you would need to look at how much he gets a weekend, and then worry anout the tips.
Step-by-step explanation:
He gets paid $80 each weekend, and a 15% with tips.
you would need to figure out the tips, by taking the $725 and timesing it by .15 for the percent.
which would be 108.75
you would now take 108.75 and add 80 to get what he made that weekend.
108.75+80 = 188.75 dollars