Rick deposits $3 into his bank account. The following week, he deposits 3 times that amount. Each week after that, he deposits 3 times the amount he did the previous week. How much does he deposit in all during the first 3 weeks (THERE ARE 2 PAGES
Answers
Rick's deposit in first 3 weeks is $39
What is Rick's weekly deposit ?1. Rick's deposit in the second week = 3 times($3)
= 3(3)
= 9
= \(3^{2}\)
The exponential expression for Rick's 2nd week deposit = \(3^{2}\)
Where, Base = 3
Exponent = 2
2. Rick's deposit in 1st week = $3
Rick's deposit in 2nd week = 3 (3) = $9
Rick's deposit in 3rd week = 3 (9) = $27
Rick's deposit in first 3 weeks = 3+9+27
= $39
Rick's deposit in all in the first 3 weeks is $39
3. Rick's deposit for 15 weeks = \(3^{15}\)
= $1,43,48,907.
We know, no. of weeks in a year = 52
Rick's deposit for 52 weeks ( 1 year ) = 52 times of 3
\(=3^{52}\\= 6.4610819e+24\)
Since this is a huge number , Rick cannot keep up this savings plan for a year.
What is an exponential expression?Only a short version of a power can be expressed using an exponential expression. How frequently the base is employed as a factor is shown by the exponent. Any real or complex exponent is acceptable under the notion of exponentiation. For a large number of other algebraic structures, including matrices, exponentiation by integer exponents can also be defined.Compound interest, population expansion, chemical reaction kinetics, wave behaviour, and public-key cryptography are just a few examples of the many domains where exponentiation is widely utilized. It is also used extensively in fields including economics, biology, chemistry, physics, and computer science.To learn more about exponential expression, refer:
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Related Questions
The perimeter of the figure below is 179.3 ft. Find the length of the missing side.
Answers
Answer:
13 ft
Step-by-step explanation:
8(13.3) + 2(23.8) + 12.3 = 166.3
179.3 - 166.3 = 13
A ball is launched from a 25.48-meter tall platform. The equation
for the ball's height h at time t seconds after launch is h (t) =
-4.9t² + 2.94t + 25.48, where his in meters. When does the object
strike the ground?
Answers
Therefore the solution of the given question of equation comes out to be the object will hit the ground after 6 seconds.
Define equation.Two variables that are equal—one on each side of a "equals" sign—are represented mathematically by an equation. Equations can be used to solve problems in daily life. To tackle challenges in real life, we frequently seek pre algebra assistance. The very foundation of mathematics is pre-algebra.
Here,
Given : -4.9t² + 2.94t + 25.48
Then,
To find the When does the object strike the ground :
We get :
=> -4.9t² + 2.94t + 25.48 = 0
Using discriminant formula
We find the value of t:
=> t = -19.6 ±\(\sqrt{19.6^{2} - 4 (-4.9)(25.48)}\) / 2(-4.9)
=> t =-2 or 6
So we neglect -2
So solution for t = 6 seconds
Therefore the solution of the given question of equation comes out to be the object will hit the ground after 6 seconds.
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Find the zeros by using the quadratic formula and tell whether the solutions are real or imaginary. F(x)=8x^2–4x+10
Answers
We have a quadratic equation and we have to find the zeros.
We can start by simplyfing:
\(\begin{gathered} f(x)=8x^2-4x+10=0 \\ 2(4x^2-2x+5)=0 \\ 4x^2-2x+5=0 \end{gathered}\)Then, we apply the quadratic formula:
\(\begin{gathered} x=\frac{-(-2)}{2\cdot4}\pm\frac{\sqrt[]{(-2)^2-4\cdot4\cdot5}}{2\cdot4}=\frac{2}{8}\pm\frac{\sqrt[]{4-80}}{8}=\frac{1}{4}\pm\frac{\sqrt[]{-76}}{8} \\ x=\frac{1}{4}\pm\frac{\sqrt[]{76(-1)}}{8}=\frac{1}{4}\pm\frac{\sqrt[]{76}}{8}\cdot i=\frac{1}{4}\pm\frac{\sqrt[]{4\cdot19}}{8}\cdot i=\frac{1}{4}\pm\frac{1}{4}\sqrt[]{19}i \end{gathered}\)\(\begin{gathered} x_1=\frac{1}{4}+\frac{1}{4}\sqrt[]{19}i\approx0.25+1.09i \\ x_2=\frac{1}{4}-\frac{1}{4}\sqrt[]{19}i\approx0.25-1.09i \end{gathered}\)The roots are imaginary.
Their values are approximately x1=0.25+1.09i and x2=0.25-1.09i.
2. A(n) is NOT an example of an agreement. (1 point)
O lease
O month-to-month
O annual
O fine print
Answers
An Annual is not an example of an agreement.
There are 15 applicants for four jobs : Computer Programmer , Software Tester , Manager , and Systems Engineer
IS THIS A PERMUTATION OR COMBINATION ?
Answers
Answer:
it Permutation 32760
Step-by-step explanation:
it permutation because the order is matter
15p4=32760
This is the case of a combination and the possibility of arrangement is 1365.
What is the combination?The combination is the process of choosing items or things from a bigger group where the order is irrelevant. The combination formula aids in determining the number of possible combinations that can be created by selecting a portion of a bigger set of objects.
Given There are 15 applicants for four jobs: Computer Programmer, Software Tester, Manager, and Systems Engineer.
From the difference between permutation and combination:
A permutation is a method of arranging all the members in order. The combination is a selection of elements from a collection.
Since the order is not asked thus this is the case of a combination
and total arranging possibility = ⁿCₓ
total arranging possibility = ¹⁵C₄
total arranging possibility = 15! /( 11! * 41)
total arranging possibility = 1365
therefore, This is a combination case, and the number of possible arrangements is 1365.
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The function g is defined by the following rule.
8(x)-(;)*
Find g(x) for each x-value in the table.
N
0
0
8
X
08
Ś
Answers
According to the solution we have come to find that, When x = 3, we have g(3) = (1/7)³ = 1/343.
what is function?In mathematics, a function is a rule or a set of instructions that maps each input value (or an element from the domain) to exactly one output value (or an element from the range). A function can be thought of as a machine that takes an input, performs some operation on it, and gives an output.
For example, let's consider the function f(x) = x². Here, the input is x, and the function performs the operation of squaring the input. For any value of x, the function will return the output which is the square of that value.
here are the values of g(x) for each of the given x-values:
When x = -1, we have g(-1) = \((1/7)^{-1}\) = 7.
When x = 0, we have g(0) = \((1/7)^{0}\) = 1.
When x = 1, we have g(1) = \((1/7)^{1}\) = 1/7.
When x = 2, we have g(2) =\((1/7)^{2}\) = 1/49.
When x = 3, we have g(3) =\((1/7)^{3}\) = 1/343.
So the values of g(x) for the given x-values are:
g(-1) = 7
g(0) = 1
g(1) = 1/7
g(2) = 1/49
g(3) = 1/343
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Find the quotient of z₁ by z2. Express your answer in
trigonometric
form.
² - 3 (0 (4) + (*))
Z₁ cos
+/sin
Z₂
²2 = 7 (cos(377)+
COS
8
O A. 7 (cos (577) + i sin (5/77))
8
B.
21(cos(577)+isin (577))
8
OC. 21 cos
21(cos(-7)+ i sin(-77))
O D. 7 (cos(-7) + + sin(-7))
i
+/sin
37T
8
Answers
The quotient of z₁ by z₂ in trigonometric form is:
7/21 * (cos(584°) + i sin(584°))
To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.
Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.
We have:
z₁ = 7(cos(577°) + i sin(577°))
Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.
From the given information, we have:
z₂ = 21(cos(-7°) + i sin(-77°))
To find the quotient, we divide z₁ by z₂:
z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]
Substituting the given values, we have:
z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]
= (7/21) * [cos(584°) + i sin(584°)]
The quotient of z₁ by z₂ in trigonometric form is:
7/21 * (cos(584°) + i sin(584°))
Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.
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which statement about 2x+1 is true
Answers
Answer:
i think A
Step-by-step explanation:
Answer:
I think the answer would be B
Distance from earth to the moon is 238,900 . From earth to the sun is 92935,700 ,about how many times the distance from earth to the moon is distance from earth to the sun
Answers
Answer: the sun is 389.015069067 times further away from earth to the moon
Step-by-step explanation: 92935700/238990=389.015069067
What are the approximate polar coordinates for the point with rectangular coordinates (–2, 4)? Give θ in degrees rounded to the nearest thousandth.
Answers
Kelly rolled scores of 254, 202, 284, 269, 151, 258 and 202 in a recent tournament. What was the mean, median and mode of her scores?
Answers
Answer:
See below!
Step-by-step explanation:
Data:254, 202, 284, 269, 151, 258, 202
Mean:The sum of data divided by the number of data is called mean.Mean of the data:
\(\displaystyle Mean= \frac{Sum \ of \ data}{number \ of \ data} \\\\Mean = \frac{254+202+284+269+151+258+202}{7} \\\\Mean=\frac{1620}{7} \\\\\boxed{Mean = 231.4}\)
Median:The middle value of the data is median.Median of data:
Arrange the data in increasing order.
151, 202, 202, 254, 258, 269, 284
The middle value = 254
So,
Median = 254Mode:The frequently occurring value in the data is known as mode.Mode in data:
The mode, here, is 202. (occurring 2 times.)
So,
Mode = 2\(\rule[225]{225}{2}\)
in the table below x represents miles traveled and y represents the cost to travel by train what is the y intercept of this function?
Answers
Answer:
im pretty sure its 2.25...
Step-by-step explanation:
hope this helps:)
FIRST RIGHT GETS BRAINLIEST
Answers
Answer:
203 is the median value.
Step-by-step explanation:
The range is 62, minimum is 174, and the maximum is 236. The median is the central number of a data set. Arrange data points from smallest to largest and locate the central number. This is the median. If there are 2 numbers in the middle, the median is the average of those 2 numbers.
What is the approximate area of a circle with radius 6 cm?
Answers
Answer:
133 m^2
Step-by-step explanation:
to find are of a circle it’s r^2 times pi
6^2 x pi
36 pi
113 m^2
Hopes this helps please mark brainliest
Answer:
Answer C is correct
Step-by-step explanation:
The formula to find the area of a circle is:
A = πr²
Here,
r => radius = 6m
Let us find the area of the circle.
A = πr²
A = 3.14 × 6 × 6
A = 113.04 m²
Approx. = 113m²
Students reported practicing violin during the last semester for 45, 38, 52, 58, and 42 hours. What is the mean absolute deviation for the number of hours students practiced the violin? Round to the nearest tenth.What is the mean absolute deviation for the number of hours students practiced the violin? Round to the nearest tenth.
Answers
Answer:
A: 6.4
Step-by-step explanation:
edg2020
6.4 is correct
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funne
Find the mean of the data set
7, 12, 10, 18, 13, 23, 29, 15, 16, 18, 15, 12, 20
Answers
Answer: 16.75
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
Add all of the number and divide by the amount of numbers there is
if you’re good with permutations in math 30 please help and answer this easy question below real answers only
a graduating class has 10 students with 6 boys and 4 girls. the number of ways the students can be arranged in a line if the girls must be together and the boys must be together is
a) 2(6!)(4!)
b) 10!
c) 6!4!
d) 2 (6) (4!)
Answers
Answer: a) 2(6!)(4!)
Step-by-step explanation:
The number of ways the boys can be arranged is: 6!
The number of ways the girls can be arranged is: 4!
The number of ways the groups (boys & girls) can be arranged is: 2
Girls could be in the front .. or in the back ... of the line.
Put these together to get: 6! × 4! × 2
Place the numbers in order from greatest to least.
-5/2 5.25 1 3/4 -8.345
Answers
From greatest to least5.25, 1, 3/4 (or 0.75), -5/2 (or -2.5), -8.345
How to place the numbersTo sort these numbers from largest to smallest, we must establish a consistent format for swift comparison.
Among the various numbers included are whole figures, fractions and decimals, causing us to mix them uniformly first so that they match— in decimals.
-5/2 = -2.5
5.25 = 5.25 (no alteration required)
1 = 1.0 (to simplify analysis, only adding decimal points)
3/4 = 0.75
-8.345 = -8.345 (essentially unchanged)
At this point, we can effortlessly contrast and compare the numbers.
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Answer correctly for brainlist
Answers
Answer:
Quadrilaterals
Step-by-step explanation:
find the area of the composite figure.
Answers
Answer:
24
Step-by-step explanation:
Answer:
83
Step-by-step explanation:
What is the area of the composite figure whose vertices have the following coordinates? (2,-2), (2,1), (4,2), (6,2), (4,-1)
Enter your answer in the box.
__Units Sqared
Answers
The area of the composite figure whose vertices have the (2,-2), (2,1), (4,2), (6,2), (4,-1) coordinates is 6 square units
We first need to plot all the given points A (2,-2), B (2,1), C (4,2), D (6,2)and E (4,-1) which is coordinate geometry
After joining the Points which is a pentagon and it can be divided in two shapes one is triangle CDE and a quadrilateral ABCE
Using the distance formula
BC = \(\sqrt{(y2-y1)^{2}+(x2-x1)^{2} }\) = \(\sqrt{(2-1)^{2} + (4-2^{2} }\) = √5
Since BC = AE and BC ll AE , we can say ABCE is a parallelogram
area of a parallelogram = base × Altitude
= 2 × 2= 4
Area of triangle CDE where CD is perpendicular and CE is the base
= 1/2 ( 2×2)
= 1/2 (4)
= 2 square units
So the area of ABCDE = Area of ABCE + area of CDE
= 4 square units + 2 square units
= 6 square units
Hence, the area of the composite figure whose vertices have the (2,-2), (2,1), (4,2), (6,2), (4,-1)coordinates is 6 square units
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Veronica buys a shirt for $22.00. If the sales tax is 5.5%,
what is the total price Veronica pays for the shirt
including tax?
Answers
Answer:
Step-by-step explanation:
22*5.5%=1.21 tax
22.00+1.21= $23.21
Answer:
23.00
Step-by-step explanation:
smartness lol
Which expression is equivalent to 6y?
Answers
Answer:
What are the options?
Step-by-step explanation:
I will be able to help you then.
Jayden and his children went into a movie theater that sells bags of popcorn for $7 each and pretzels for $5 each. Jayden has $85 to spend and must buy a minimum of 13 bags of popcorn and pretzels altogether. If x x represents the number of bags of popcorn purchased and y y represents the number of pretzels purchased, write and solve a system of inequalities graphically and determine one possible solution.
Answers
One possible solution we have is 10 bags of popcorn and 7 bags of pretzels.
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
Let, 'x' represents the number of bags of popcorn and 'y' represent the number of pretzels.
Therefore, The two inequalities representing the context are,
x + y ≥ 13 and 7x + 5y ≤ 85.
Solving these two inequalities graphically, A possible solution
we have, (10, 3).
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f(x)=2(x)^2+5√(x+2)
f(2)=
Answers
Answer:
f(2) = 18
Step-by-step explanation:
Put '2' into the equation where 'x' is to get :
f(2) = 2 (2^2) + 5 (sqrt(2+2)
= 8 + 5 (2) = 18
Finding the total cost including tax or markup A TV has a listed price of $787.95 before tax. If the sales tax rate is 6.75%, find the total cost of the TV with sales tax included. Round your answer to the nearest cent, as necessary. $0 X 5
Answers
Answer:
$841.10
Step-by-step explanation:
To find the total cost of the TV with sales tax included, we need to add the tax to the listed price.
The tax amount is:
$787.95 × 0.0675 = $53.15
So the total cost with tax included is:
$787.95 + $53.15 = $841.10
Rounded to the nearest cent, the total cost is $841.10.
The pie chart below shows the percentage of total revenue that a publisher receives from various types of publications. Use this chart to answer the questions
below.
Answers
Answer:
a. Cookbooks
b. 50%
c. 30%
Step-by-step explanation:
According To the Question,
We have a total revenue of a publisher describe in a circle (360°).a. Now, Approximately Cookbooks & Textbooks revenue Form 180°, but textbook revenue is more than cookbooks as clearly visible in the diagram
Thus, cookbooks are less than 90°.
Now, we have to find 1/5th of total publisher revenue which is 360°/5= 72°. & the Cookbooks is nearest to 72° ( less than 90°)
So, Answer For (a) is Cookbooks
b. Here in Diagram Clearly Visible that The Cookbooks & Textbooks Revenue Form 180° which is Approximately 50% of total Publisher's Revenue.
So, the Total Revenue Comes From Textbooks & Cookbooks is 50%.
c. Now We know the Cookbooks + Textbooks Revenue form 180° Approximately & Cookbook is approximately equal to 72° (as we solve above)
So, textbooks are 180°-72° = 108°, which is 30% of 360° ∴ 30% Revenue Come From Textbooks.
Malika is 1.45 meters tall. At 10 a.m., she measures the length of a tree's shadow to be 32.25 meters. She stands 27.5 meters away from the tree, so that the tip of her shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter.
Answers
Answer:
Step-by-step explanation:
If the length of a tree's shadow is 32.25 meters. The height of the tree to the nearest hundredth of a meter will be : 9.84m
Given:
Malika height=1.45 meters
Length =32.25 meters
Width =27.5 meters
Height of the tree=x
Proportion:
1.45 : 32.25 :: x : 27.5
Now let determine the height of the tree
32.25-27.5/1.45=32.25/x
4.75/1.45=32.25/x
Cross multiply
4.75x=32.25×1.45
4.75x=46.7625
Divide both side
x=46.7625/4.75
x=9.84m
Inconclusion if the length of a tree's shadow is 32.25 meters. The height of the tree to the nearest hundredth of a meter will be : 9.84m
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What is the equation of the line passing through (-5, - 3)
and perpendicular to the line representing the equation
y=-3x+2?
Select one:
O
y = -
5 46
7-T
O ;=x+4
=ין
0 = 2 + 1/3
O
1=
ل |
3x - 10
Answers
Answer:
y=7/5x+4
Step-by-step explanation:
the other ones either are to low on the graph to hit -5-3 or they are parallel instead of perpendicular to the given equation
work out missing angle following polygons
Answers
Answer:
x = 150°
Step-by-step explanation:
Interior angle of a hexagon = 120° and interior angle of a square = 90°
so remaining angle, 360-120-90 = 150°