Answer:
(a) $1.92
(b) $11.68
(c) $19.21
Step-by-step explanation:
The tax is the product of the tax rate (7.5%) and the taxed amount.
__
(a)0.075 × $25.55 ≈ $1.92
(b)0.075 × $155.75 ≈ $11.68
(c)0.075 × $256.18 ≈ $19.21
_____
It is convenient to use a calculator for these values. A suitable calculator can do the rounding for you.
Help please need asap!! Thank you
Answer:
your welcome
Step-by-step explanation:
....bbc
Find the sum of the n terms using the formula a(1-r^n)/1-r 1,3/2,9/4,27/8,81/16, …
Answer:
[tex]S_5=\frac{211}{16}[/tex]
Step-by-step explanation:
We can easily see that the common ratio is [tex]r=\frac{3}{2}[/tex] and we are to find the first [tex]n=5[/tex] terms:
[tex]\displaystyle S_n=\frac{a_1(1-r^n)}{1-r}\\\\S_5=\frac{1(1-(\frac{3}{2})^5)}{1-\frac{3}{2}}\\\\S_5=\frac{1-\frac{243}{32}}{-\frac{1}{2}}\\ \\S_5=\frac{-\frac{211}{32}}{-\frac{1}{2}}\\ \\S_5=\frac{422}{32}\\\\S_5=\frac{211}{16}[/tex]
simply an surds
√75+ √48 -2√675
The simplification of √75+ √48 -2√675 is -21√3.
What is a surd?Surds are irrational numbers.
To simplify the surd in the question above, we use the addition and subtraction of surds.
Addition and subtraction of surdsTwo or more surds can be added or subtracted if they are in the same basic form.
E.g
a√b+c√b = (a+c)√ba√b-c√b = (a-c)√bUsing the above example,
Given:
√75+√48-2√675Express the surds to the same basic form
5√3+4√3-(2×15)√35√3+4√3-30√39√3-30√3 = -21√3Hence, the simplification of √75+ √48 -2√675 is -21√3.
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Find the area of EFGH
The area of triangle EFG with a base of 2 feet and height of 8 feet is 8 ft².
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let h represent the height of triangle ABC, hence:
18 ft² = (1/2) * 3 * h
h = 12 ft
Let x represent the height of triangle EFG, hence:
x/12 = 2/3
x = 8 feet
Area of EFG = (1/2) * 2 * 8 = 8 ft²
The area of triangle EFG with a base of 2 feet and height of 8 feet is 8 ft².
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Function g is a transformation of the parent exponential function, . Which graph shows function g?
Answer:
the answer is b! i got the same question before!
Step-by-step explanation:
find tan (0) from sin 0= 7/9
Step-by-step explanation:
First, use the Pythagorean theorem to find cos x.
[tex] \sin {}^{2} (x) + \cos {}^{2} (x) = 1[/tex]
[tex] (\frac{7}{9} ) {}^{2} + \cos {}^{2} (x) = 1[/tex]
[tex] \cos {}^{2} (x) = 1 - \frac{49}{81} [/tex]
[tex] \cos {}^{2} (x) = \frac{32}{81} [/tex]
[tex] \cos(x) = \frac{4 \sqrt{2} }{9} [/tex]
Now, use the quotient identity
[tex] \tan(x) = \frac{ \sin(x) }{ \cos(x) } [/tex]
[tex] \tan(x) = \frac{ \frac{7}{9} }{ \frac{4 \sqrt{2} }{9} } [/tex]
[tex] \tan(x) = \frac{7}{4 \sqrt{2} } [/tex]
[tex] \tan(x) = \frac{7 \sqrt{2} }{8} [/tex]
The answer is A
In circle O, AD and BE are diameters. The measure of arc AB is 55° and the
measure of arc CD is 25º.
What is the measure of BC?
80
110
90
100
Answer:
Arc AB = 55°
Angle AOB = 55° ( Centre angle is equal to respective arc )
Arc CD = 25°
Angle COD = 25° ( Centre angle is equal to respective arc )
Angle AOB + Angle BOC + Angle COD = 180° ( AD is the diameter)
55° + Angle BOC + 25° = 180°
Angle BOC + 80° = 180°
Angle BOC = 100°
A recipe for chocolate pudding calls for 600 milliliters of milk and 120 milliliters of heavy cream. How many liters of liquid are needed for 2 servings of pudding? I promise I will mark you brainliest answer.
The amount liters of liquid needed for 2 servings of pudding.
Solution:1 serving:[tex]600 + 120[/tex]
[tex] = 720 \: ml[/tex]
2 serving:[tex]720 \times 2[/tex]
[tex] = 1440 \: ml[/tex]
Let's solve[tex]\boxed{\sf{Formula: 1 \: L = 1000 \: ml}}[/tex]
[tex] \frac{1440}{1000} [/tex]
[tex]\large\boxed{\sf{= 1.44 \: L}}[/tex]
Therefore, 1.44 litres of liquid are required for 2 servings.
A submarine starts 15 meters above sea level and travels 95 meters below sea level. How far did the submarine travel? *
The height attained by the submarine in the sea will be 80 meters.
What is the height?
Height is a vertical distance travelled by any object. Here the submarine is going down in the sea from 15 meters to 95 meters below the sea.
So the height attained by the submarine will be:-
H= 95-15
H= 80 meters.
Therefore the height attained by the submarine in the sea will be 80 meters.
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Please someone help me
Answer:
Pls can u type it out ur self so I can help u out
In "The Emperor's New Clothes" what does the opening tell you about the characters?
A. Emperor is the main character
B. King is the main character
C. No main character is introduced
D. Queen is the main character
Jillian scored 104 points in a trivia game. She correctly answered 26 questions during the game. How many points did she score per question?
Answer:
4 points
Step-by-step explanation:
104 divided by 26 is 4
and 26x4=104
You can also add 26 4 times to get 104
Answer:
4
Step-by-step explanation:
100 / 25 is 4. So 104 / 26 must be 4 because you added 1 to 25 4 times to 26 x 4 is 106.
pls help plssssss thank you 20 points
Answer:
7x - 10 < 11
Step-by-step explanation:
B
2. Answer each of the following based on the scenario below.
Scenario: You bought a brand new iphone 13 for $1,200. Unfortunately your phone
loses 10% of its value every year.
a. Does this scenario represent exponential growth or decay? De
b. What is the initial value of your phone? 2000
c. What is the growth/decay factor? 10
d. Create a function in exponential form that models how much your phone will be worth
after x years.
f(x) =
e. After 3 years how much will your phone be worth?
. After 8 years how much will your phone be worth?
a) losing value is exponential decay.
b) Initial value is the price you paid = $1,200
c) decay factor is 100% - the percent lost per year = 90%
d) value = starting value x decay factor^ time
f(x) = 1200 x 0.90^x
e) replace x with 3 then 8 and solve:
f(3) = 1200 x 0.90^3 = 874.80
after 3 years it is worth $874.80
f(8) = 1200 x 0.90^8 = 516.56
after 8 years it is worth $516.56
What is the definition of cause and effect structure?
A. Describes a problem as well as its causes and suggests solutions
B. Shows how two or more things are alike andlor different
C. Shows relationship between events, explains how one thing happens as a result of another
D. Describes a topic, idea, person, place or thing
Answer:
Method of paragraph or essay development in which a writer analyzes the reason for - and / or the consequences of - an action , event, or decision
Answer:
C. Shows relationship between events, explains how one thing happens as a result of another
Step-by-step explanation:
quadrilateral has angles that measure 90°, 46°, and 120°.
What is the measure of the fourth angle
Answer:
the measure of the fourth angle is 104 degrees
Step-by-step explanation:
Answer:
Fourth angle = 104º
Step-by-step explanation:
Angles in a quadrilateral add to 360º so:
90 + 46 + 120 + fourth angle = 360º
90 + 166 + fourth angle = 360º
256 + fourth angle = 360
fourth angle = 104º
What are the values of x and y?
Step-by-step explanation:
In figure:
∠PRT+∠RTP+∠TPR=180
O
(angle sum property of triangle)
⇒x+(180
O
−∠RTQ)+60
O
=180
O
(linear pair)
⇒x+(180
O
−97
0
)+60
o
=180
O
⇒x=31
o
Now, ∠PRT+∠TRQ+∠QRS=180
O
(angle of straight line)
⇒x+48
o
+y=180
O
⇒31
o
+48
o
+y=180
O
⇒y=101
0
All of the following countries were impacted by Chernobyl EXCEPT...
A. Great Britain
B. Brazil
C. Norway
Answer:
B: Brazil
Step-by-step explanation:
The Chernobyl impacted Belarus, Russia, and Ukraine as well as many other European countries. And Brazil isnt a European country.
( I hoped this helped)
From the triangle, find the missing length
what is this help plssss
Answer:
C
Step-by-step explanation:
8- 3.14159265359 = 4.85840734641.
or
8-pi = 4.85>5 which is incorrect.
Write a cosine function that has an amplitude of 4, a midline of 2 and a period of1
Answer:
see below
Step-by-step explanation:
start with cos (x)
amplitude 4
4 cos x
midline 2
4 cos (x ) + 2
period of 1 : 2 pi / 1 = 2 pi
multiply x by 2pi
4 cos ( 2 pi x) + 2
Write the equation of the line in fully simplified slope-intercept form.
Answer:
The answer to writing this graph in fully simplified slope-intercwpt form is y = 1/5x - 7.
Find the area of the figure. Round to the nearest hundredth where necessary.
55 mm
32.5 mm
12.5 mm
12.5 mm
5 less than thrice a number q is 10
Answer:
q = 5
Step-by-step explanation:
5 less than 3q is 10.
∴ 3q - 5 = 10
3q = 15
q = 5
Hope this helps!
67/100 simplificado
1/4 simplificado
[tex] \sf{La \: \: fracción \: \: \dfrac{67}{100} \: \: no \: \: es \: \: posible \: \: reducir.}[/tex]
A la igual que la otra Operación:
[tex] \sf{La \: \: fracción \: \: \dfrac{1}{4 } \: \: no \: \: es \: \: posible \: \: reducir.}[/tex]
Ninguna tiene factores comunes.
Espero que te sirva, salu2!!!!
The fraction 67/100 It cannot be simplified.
It cannot be simplified since the numerator is greater than or equal to the denominator of a fraction, it is called an improper fraction. In that case, it cannot be converted to a whole number or a mixed fraction.
The fraction 1/4 Nor can it be simplified.
Since If the numerator is greater than or equal to the denominator of a fraction, it is called an improper fraction. In that case, it cannot be converted to a whole number or a mixed fraction.
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Find the x- and y-intercepts of the graph of the equation y = x2 – 2.
Answer:
See below ~
Step-by-step explanation:
X-intercept(s) : Take y = 0
0 = x² - 2x = ±√2X-intercepts are : (-√2, 0) and (√2, 0)Y-intercept : Take x = 0
y = (0)² - 2y = -2Y-intercept is : (0, -2)Use the the limit of sin of x all over x as x approaches 0 equals 1 to determine the limit of x times cosine of the quantity 5 times x all over sine of the quantity 5 times x as x approaches 0.
The limit of x times cosine of the quantity 5 times x all over sine of the quantity 5 times x as x approaches 0 is determined as ¹/₅.
Limit of the function
The limit of the function is determined as follows;
[tex]\lim_{x \to 0} \ \frac{sinx}{x} = 1\\\\ \lim_{x \to 0} \ \frac{x(cos5x)}{sin5x}[/tex]
The derivative of the function;
[tex]\frac{xcos(5x)}{sin5x} = \frac{-5x(sin(5x)) + cos(5x)}{5cos(5x)}\\\\= \frac{-5x(sin(5x))}{5cos(5x)} + \frac{cos(5x)}{5cos(5x)} \\\\ \lim_{x \to 0} \\\\= 0 + \frac{1}{5} = \frac{1}{5}[/tex]
Thus, the limit of x times cosine of the quantity 5 times x all over sine of the quantity 5 times x as x approaches 0 is determined as ¹/₅.
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which ordered pair in the form (x,y) is a solution of this equation?
7x-5y=28
(-3,-2)
(-2,-3)
(0,4)
(4,0) will give brainly to who ever gets it right please and thank you
Answer:
I think is 4,0
Step-by-step explanation:
if u divide 28 by seven u would get 4 and u cant divide 28 by 5 sooo it would be a decimal but that isnt an option so imma say its the last one
If a prism is placed into a basin of water (density: 32.5 lb/ft3) and displaces 3.7 pounds of water, what is the volume of the water that was displaced (in cubic inches)?
The volume of the water that was displaced will be 0.06 cubic feet.
What is density?Density is defined as the mass per unit volume. It is an important parameter in order to understand the fluid and its properties. Its unit is kg/m³.
The mass and density relation is given as
mass = density × volume
If a prism is placed into a basin of water (density: 32.5 lb/ft3) and displaces 3.7 pounds of water.
Then the volume of the water that was displaced will be
We know that the density of the water is 62.4 pounds per cubic foot.
Then we have
3.7 = 62.4 × volume
Volume = 0.059
Volume ≅ 0.06 cubic-foot
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Which of the following are solutions to the quadratic equation below?
Check all that apply.
x^2+ 6x + 9 = 2
Answer:
C & D
Step-by-step explanation:
x^2+6x+7=0
Delta=b^2-4ac=6^2-(4*1*7)=36-28=8
X=((-b)+-(delta)^(1/2))/2
X=((-6)+-(2^(3/2)))/2
[tex]x1 = - 3 - \sqrt{2} \\ x2 = - 3 + \sqrt{2} [/tex]