Answer:
$1102.50
Step-by-step explanation:
The appropriate compound interest formula is
A = P(1 + r)^t, where P is the principal ($1000), t is the number of years, and r is the interest rate as a decimal fraction.
Here A = $1000(1 + 0.05)^2 = $1000(1.05)^2 = $1102.50
the first shower head was used 20 gallons of water in 5 minutes. How many gallons of water will we use in one minute?
Answer:
4
Step-by-step explanation:
because since it says 5 minutes
and. 5×4=20 so 4 gallons of water in 1 minute
Please help 12 points
Answer:
SAS because they stand for side angle side
simplify :
12⁷*28⁶
_______
21⁷*16⁶
Answer:
Step-by-step explanation:
Prime factorize 12 , 28 , 21 and 16
12 = 2 * 2 * 3 = 2² * 3
28 = 2 * 2 * 7 = 2² *7
21 = 3 * 7
16 = 2 * 2 * 2 * 2 = 2⁴
[tex]\dfrac{12^{7}*28^{6}}{21^{7}*16^{6}}=\dfrac{(2^{2}*3)^{7}*(2^{2}*7)^{6}}{(3*7)^{7}*(2^{4})^{6}}\\\\\\\\=\dfrac{2^{2*7}*3^{7}*2^{2*6}*7^{6}}{3^{7}*7^{7}*2^{4*6}}\\\\\\=\dfrac{2^{14}*3^{7}*2^{12}*7^{6}}{3^{7}*7^{7}*2^{24}}\\\\\\=\dfrac{2^{14+12-24}*3^{7-7}}{7^{7-6}}\\\\\\=\dfrac{2^{2}*3^{0}}{7^{1}}\\\\\\=\dfrac{2^{2}}{7}[/tex]
Hint:
[tex]a^{m}*a^{n}=a^{m+n}\\\\\\(a^{m})^{n}=a^{m*n}\\\\\dfrac{a^{m}}{a^{n}}=a^{m-n} \ if \ m >n\\\\\\\dfrac{a^{m}}{a^{n}}=\dfrac{1}{a^{n-m}} \ if \ n>m[/tex]
Sarah took a 20? Test and got 17 problems correct what percent did she get
Answer:
85%
Step-by-step explanation:
Divide the number of problems gotten right by the total number of problems.
Sarah got an 85%.
Use this method.
part/whole = %/100
So.
17/20 = x/100
Cross multiply.
17•100=1700
20•x=20x
Divide by 20
1700÷20=85
Therefore the answer is 85%
1 If finding unit rate, what would be the best buy for potato chips? A. 18 oz. for $4.17 B. 32 oz for $7.92 C. 20 oz for $5.19 D. 30 oz for $5.99
Answer:
B.
Step-by-step explanation:
Unit rate is $4.04 per oz
Guided Practice
What will the height of the pumpkin be when it has been in the air for 1 second?
A.
15 feet
B.
85 feet
C.
91 feet
D.
69 feet
Answer:
D.
69 feet
Step-by-step explanation:
Substitute 1 into the function for t and solve.
h( 1 ) = −16 ( 1 ) 2 +70( 1 )+15 h( 1 ) = 69h left parenthesis 1 right parenthesis equals negative 16 left parenthesis 1 right parenthesis squared plus 70 left parenthesis 1 right parenthesis plus 15 line break h left parenthesis 1 right parenthesis equals 69
Answer:
A i think its wrong srry
Step-by-step explanation:
A customer buy's 5 books at a bookstore for a total cost of 65$. If all the books cost the same amount, how much does 1 book cost?.
Answer: each book costs $13
Step-by-step explanation:
dividing 65 by 5 gets the answer
Answer:
13$ per book
Step-by-step explanation:
Divide 65/5 and it will give you the unit rate
It took Jason 20 days to write his college essay. He wrote half a page (0.5) every day. How long was the report?I need an explanation to so I can understand, thank you!
Help. Please
And
Thank u
<3
Step-by-step explanation:
α = α
x = 96°
Answer → x = 96° (degree)
Answer:
96 Degrees
Step-by-step explanation:
If we look at the problem, we know that due to the fact that they are adjacent that they MUST be equal.
Here is the proof:
We'll assign each angle a letter as following
A B C D with A being the top left and D being the bottom right!
Now that we know that, first off, A has to be equal to 180-96 due to them being Supplementary Angles.
Therefore, A is 84 degrees.
Now to find x, we can use Supplementary Angles again.
x has to be 180-84 which is 96 degrees proving the theorum.
Have a nice day!
Help!!! evaluate peicewise functions
Answer:
9
Step-by-step explanation:
You choose the middle one because 3<(4)<10 makes sense where as the other ones don't when you plug in 4. Then you solve the equation which is x^2-7 and then you get 16-7 which is 9.
PLEASE HELP ASAP!!! WILL GIVE BRAINLIEST!!! Test each statement below to see if it is reversible. If it is reversible, write it as a true biconditional. If not, write not reversible.
1. If a whole number is a multiple of two, then the whole number is even.
2. Rabbits are animals that eat carrots.
3.Two lines that intersect to form four 90 degree angles are perpendicular.
4. Mammals are warm blooded animals.
Answer: 1. not revisable
2. not revisable
3. Not reversible
4. not revisable
Step-by-step explanation: 1.Likewise, a number is a reversible multiple if the number formed by 2058 is not reversible because 8502/2058 = 4.131, which is not a whole number
2. When rabbits eat carrots you cannot form the carrot back to its original form so that's why its irreversible (not/non revisable)
3.If two perpendicular lines intersect, they form four 90* angles. ... whose sum measures to 90 degrees - The statement is not reversible
4. a few species of cold-blooded mammals exist but you cannot change a warm blooded animal into cold.
The function f is given by
f(x) = 2x^3– 4
(a) Show that f^-1(50) = 3
Answer:
hope it helps you.....
and I m feeling bad for my handwriting
The proof of the value of the inverse equation f^-1(50) = 3 is below
How to prove the value of the inverse equationFrom the question, we have the following parameters that can be used in our computation:
f(x) = 2x^3 - 4
To show that f^-1(50) = 3, we simply show that
f(3) = 50
substitute the known values in the above equation, so, we have the following representation
f(3) = 2 * 3^3 - 4
Evaluate
f(3) = 50
Hence, the proof of the value of the inverse equation is done
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algebra 2 please help
Answer:
A
Step-by-step explanation:
(f+g)(x)=-2x+4+x^2-3x+5
so answe = x^2-5x+9
if there was 200 kids= 100% and 43 of them left what is the percent
Answer:
It would be 86 as 43% of 200 is 86
Step-by-step explanation:
Three of the angles of a quadrilateral are 53degrees, 127degrees and 72degrees
Answer:
108
Step-by-step explanation:
The size of the fourth angel = 360 - ( 53 + 127 + 72 ) = 108
0.1 x 0.01 x 0.001
ans ???
________
[tex] \: [/tex]
[tex]0.1 \times 0.01 \times 0.001 = ...[/tex]
[tex] = \frac{1}{10} \times \frac{1}{100} \times \frac{1}{1.000} [/tex]
[tex] = \frac{1}{10 \times 100 \times 1.000} [/tex]
[tex] = \bold{ \frac{1}{1.000.000}} [/tex]
Answer:
[tex]0.1 \times 0.01 \times 0.001 = 0.000001 \\ \\ \\ \\ i \: hope \: it \: is \: helpfull[/tex]
can someone please double check this for me & help me correct it if there are any mistakes!
Answer:
C) Your answer is correct.
Step-by-step explanation:
help me no link dummys jk A venue is preparing for a concert on the floor shown.The width of the red carpet is 1/6 of the width of the floor.What is the area of the red carpet
Answer:
The area of the red carpet is 1057 ft²
Step-by-step explanation:
The area of the red carpet is 112.35 ft².
Given that, the width of the stage =63 ft and the length of the stage =10 2/3 ft.
What is the area of a rectangle?The area of a rectangle is obtained by multiplying its length and width. Thus, the formula for the area, 'A' of a rectangle whose length and width are 'l' and 'w' respectively is the product "l × w".
Now, the width of the red carpet is 1/6 of the width of the floor = (1/6) × 63
=10.5 ft
Here, 10 2/3 can be written as 10.66 ≈ 10.7 ft
The area of the red carpet = length × width = 10.7 × 10.5
=112.35 ft²
Therefore, the area of the red carpet is 112.35 ft².
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How do you do this, because I really do not know how to do this and plz explain how to do this
Answer:
A
Step-by-step explanation:
the leading degree(the biggest power in the function) x^4 and the leading coefficient is the number next to the highest power which is -5
so the answer should be
-5,4,x -> infinity, f(x) -> -infinity ; x -> -infinity, f(x) -> -infinity
when you get asked questions like this look for the biggest power and the number next to it. if the power is even x will always be positive if its odd x can be either positive or negative it depends on restrictions.
for instance in this example -5 * x^4 will always give you negative because -5 will multiply with a positive number x (the power is even so its always positive)
Find the value if f(x) = -3x - 8 and g(x) = x2 + 3. Find the value g(-5) =
Step-by-step explanation:
g(x) = x² + 3
g(-5) = (-5)² + 3
g(-5) = 25 + 3
g(-5) = 28
Which equation goes through the points (-3,5) and (-1,7)?
Answer:
y=x+8
Step-by-step explanation:
slope = y2-y1/x2-x1
slope = 7-5/-1+3
slope = 2/2
slope = 1
y=x+b
7=1(-1)+b
7=-1+b
b=8
y=x+8
Question 6 of 17 Which expression uses the associative property to make it easier to evaluate 14(3 - 3)? O A. 14(1 : 3) B. (14 • ;)) O C. 1431 O D. D. (1. 114 3 )
Answer:
a
Step-by-step explanation:
What is the difference between reciprocal, opposite, and inverse in math?
Answer:
The difference between “inverse” and “reciprocal” is just that. ... “Inverse” and “reciprocal” are terms often used in mathematics. “Inverse” means “opposite.” “Reciprocal” means “equality,” and it is also called the multiplicative inverse.Step-by-step explanation:
Answer: Reciprocal- when you flip the denominator and the numerator in a fraction
Step-by-step explanation:
What is the quotient of -3/8 and -1/3?
A. -1 1/8
B. -1/8
C. 1/8
D. 1 1/8
Answer: A
Step-by-step explanation: if i recall, for the second Number, when flipping the number the sign flips to. If it's not A, it's D
-3/8 × 3/1 = -9/8= 1 1 / 8
Twenty percent of a class is made up of girls. If there are 40 students in the class, how many are girls ?
Answer:
8
Step-by-step explanation:
20 percent of 40 is 8
I hope this is 5he answer you were looking for
Please help, thank you (NO LINKS!)
Patsy has cheerleading practice every fourth day. She wants to be in the school play, but they have practice every sixth day. If both start on September 5th, what would be the next date she has to choose between cheerleading and play practice? Show your work and explain.
Answer:
the first time 4 and 6 intersent is 24
so 24 days after september 5th
september 29th
Hope This Helps!!!
What is the missing step in solving the inequality 5 – 8x < 2x + 3?
Add 2x to both sides of the inequality.
Subtract 8x from both sides of the inequality.
Subtract 2x from both sides of the inequality.
Add 8x to both sides of the inequality.
Answer:
Add 8x to both sides of the inequality.
Step-by-step explanation:
PLEASE HELP!!!!!‼️‼️ ILL MARK BRAINLIIST WHAT EVER IT IS CALLED PLEASE!!!!
1. What theorem can be used to find a missing length in a right triangle?
A. Base angle theorem
B. Pythagorean theorem
C. Midsegment theorem
D. Triangle proportionality theorem
2. Find the value of X in the figure below if LP is parallel to MO
A. 10.7 units
B. 3 units
C. 5.5 units
D. 6 units
Answer:
1.b
2.d
Sana makatulong
1. Optiond D is correct, Triangle proportionality theorem can be used to find a missing length in a right triangle.
2. Option D is correct, the value of x is 6.
1. The Triangle proportionality theorem can be used to find a missing length in a right triangle.
The triangle proportionality theorem states that if a line parallel to one side of a triangle intersects the other two sides at different points, then it divides the remaining two sides proportionally.
2. By triangle proportionality theorem:
NO/OP=NM/x
20/8=15/x
Simplify the LHS:
5/2=16/x
Apply cross multiplication:
5x=15×2
5x=30
x=30/5
x=6
Hence, the value of x is 6.
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Two square room have a total floor area of 89. One room is 3m longer each way than the other. Find the dimension of the two room
Step-by-step explanation:
here is your answer hope you will enjoy and mark me as brainlist
thank you
consider the expression
[tex] \sqrt{a^{2} + 12 } + |b| [/tex]
when a = -2 and b= 14. what is the value of the expression?
show work
Answer:
18
Step-by-step explanation:
[tex]\sqrt{((-2)^2 + 12)} + 14[/tex]
= [tex]\sqrt{(4 + 12)} + 14[/tex]
= [tex]\sqrt{16}+14[/tex]
= 4 + 14
= 18
Hope this helps!
Answer:
[tex] \sf 18[/tex]
Step-by-step explanation:
[tex] \sf = \sqrt{ { - 2}^{2} + 12} + |14| [/tex]
[tex] \sf = \sqrt{(( - 2) \times ( - 2)) + 12} + 14[/tex]
[tex] \sf = \sqrt{4 + 12} + 14[/tex]
[tex] \sf = \sqrt{16} + 14[/tex]
[tex] \sf = \sqrt{ {4}^{2} } + 14[/tex]
[tex] \sf = 4 + 14[/tex]
[tex] \sf = 18[/tex]
