Continuous compounding is the potentially endless number of periods in which compound interest may be calculated. The worth of the investment after a period of 10 years will be $850.34.
What is Continuous Compound Interest?Continuous compounding is the potentially endless number of periods in which compound interest may be calculated and reinvested into an account's balance.
[tex]\rm A = Pe^{rt}[/tex]
where,
A is the principal amount after t number of years,
r is the rate at which the principal is been compounded, and P is the principal amount.
Given the principal amount of $570 is invested for a period of 10 years, and at a rate of 4% per year, therefore, the worth of the investment after 10 years will be,
[tex]\rm A = \$570 \times e^{(0.04 \times 10)} = \$850.34[/tex]
Hence, the worth of the investment after a period of 10 years will be $850.34.
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The diagram below shows an angle, 0, graphed in the xy-coordinate plane. The segment RT is the initial side of the
angle, and segment RM is the terminal side. Segments RT and RM are radii of the unit circle centered at the origin
R(0,0).
T
R
M
The x-coordinate of point M is. What is the coordinating sine value for this angle of rotation?
SET
The coordinating sine value for this angle of rotation will be 4.189.
How to calculate the angle?From the complete information, in the unit circle, there's a point with -1/2 and the x value is 240°.
In this case, the coordinating sine value for this angle of rotation will be:
= (240 × π)/180
= (240 × 3.142) / 180
= 4.189
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This Diagram Shows a Regular Pentagon
Brad tracks the distance he jogs over 10 days on a line plot. What is the difference between the longest distance he jogged and the shortest distance?
Answer: D
Step-by-step explanation:
How can you find out the similarities and differences in a non-fiction text?
A. Look at how the characters speak
B. Look at the genre
C. Identify whether the texts present the same facts
D. Look at how the text is written
Answer:
The answer is choice c. This is because texts present the same facts in fiction or nonfiction life.
Sue is traveling to Florida for vacation. Her flight takes off and the plane travels at a constant speed of 337 miles per hour. It takes her 5 hours to get to her destination. How many miles did she travel?
PLEASE HELP!!!
Answer:
Sue traveled 1,685 miles.
Step-by-step explanation:
337 x 5
(300 x 5) + (30 x 5) + (7 x 5)
1,500 + 150 + 35
1,650 +35
1,685
What is the equation of the line that is perpendicular to
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]y = \stackrel{\stackrel{m}{\downarrow }}{-\cfrac{3}{4}}x+6 ~~ \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
therefore then
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{-3}{4}} ~\hfill \stackrel{reciprocal}{\cfrac{4}{-3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{4}{-3}\implies \cfrac{4}{3}}}[/tex]
so we're really looking for the equation of a line whose slope is 4/3 and passes through (3 , 9)
[tex](\stackrel{x_1}{3}~,~\stackrel{y_1}{9})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{4}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{9}=\stackrel{m}{\cfrac{4}{3}}(x-\stackrel{x_1}{3}) \\\\\\ y-9=\cfrac{4}{3}x-4\implies y=\cfrac{4}{3}x+5[/tex]
HELP Identify the exponential function shown in the graph
Answer:
C
Step-by-step explanation:
Points given are
(0,8) and (1, 16)
The first point given is the y-intercept, 8
The y-intercept of A is 2
The y-intercept of B is 16
The y-intercept of C is 8
the y-intercept of D is 16
The only one that works is C
Robert delivers papers every morning. On Sundays he has to deliver 65 papers and on each of the other days he only has to
deliver 38 papers. How many papers does Robert deliver each week?
A. 455
B. 331
C. 255
D. 293
Answer:
D. 293
Step-by-step explanation:
He delivers 38 papers each day of the week except sunday, so six days a week
38 x 6 = 228
228 + the 65 he delivers on sunday = 293 papers a week
What is the asymptotes of the graph.
Answer:
Choice B: x = 2, y = 1.
Step-by-step explanation:
Find a formula for the nth term
of the arithmetic sequence.
First term 9
Common difference -2
[tex]n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{term position}\\ a_1=\textit{first term}\\ d=\textit{common difference}\\[-0.5em] \hrulefill\\ a_1=9\\ d=-2 \end{cases} \\\\\\ a_n=9+(n-1)(-2)\implies a_n=9-2n+2\implies a_n=11-2n[/tex]
A plumber fixed a leaky sink and charged $55 for parts and $45 per hour for labor. If the total bill was $190, how many hours did the plumber spend fixing the sink?
The plumber spend 3 hours to fixing the sink if the plumber fixed a leaky sink and charged $55 for parts and $45 per hour for labour.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
Let's suppose the plumber spend x hours to fixing the sink.
Then we can frame a linear equation in one variable:
55 + 45x = 190
45x = 135
x = 3 hours
Thus, the plumber spend 3 hours to fixing the sink if the plumber fixed a leaky sink and charged $55 for parts and $45 per hour for labour.
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I really need help with this Helpppp please
square of 5=25
square of 10=100
cube of (-2) =-8
square of (-3)=9
Vhich is a solution to the equation?
(x-2)(x + 5) = 18
x= -10
x==7
x=-4
x= -2
Answer:
see attachment (this needs to be at least 20 characters long)
11. One card is drawn from an ordinary deck of 52 cards. Find the probabilities of drawing the following.
(a) A heart or a black card
(b) A heart or a jack
(c) A heart and the ace of clubs
(d) A 9 or a jack
(e) The 9 of hearts or a jack
Answer:
3/44/137/262/135.52Step-by-step explanation:
(a)
Probability (A heart or a black card) = 13 + 26 / 52Probability (A heart or a black card) = 39/52Probability (A heart or a black card) = 3/4(b)
Probability (A heart or a jack) = 13 + 3 / 52Probability (A heart or a jack) = 16/52Probability (A heart or a jack) = 4/13(c)
Probability (A heart and the ace of clubs) = 13 + 1 / 52Probability (A heart and the ace of clubs) = 14/52Probability (A heart and the ace of clubs) = 7/26(d)
Probability (A 9 or a jack) = 4 + 4 / 52Probability (A 9 or a jack) = 8/52Probability (A 9 or a jack) = 2/13(e)
Probability (The 9 of hearts or a jack) = 1 + 4 / 52Probability (The 9 of hearts or a jack) = 5/52PLEASE I NEED HELP ASAP!!!!!!!!
Note: please add the answer next to the number its from so I can know which question was answered
Answer:
B, B
Step-by-step explanation:
< less than
> Greater Than
If it has a line under it it is equal too as well as greater or less.
The close dot means equal too and the open mean not equal to
A food truck is serving a special lunch combo meal that includes a drink, a main dish, and a dessert.
Customers can choose from 2 drinks, 4 main dishes, and 3 desserts.
How many different combo meals are possible?
Select from the drop-down menu to correctly complete the statement.
Customers can create Choose... different lunch combo meals.
Answer:
It's 90 if you go through k12 :]
Step-by-step explanation:
The number of ways to choose a combo meal is 24.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that;
2 drinks, 4 main dishes, and 3 desserts
Now,
To find the number of different combo meals possible, we can use the fundamental counting principle. This states that if there are m ways to do one thing and n ways to do another thing, then there are m x n ways to do both things.
2 ways to choose a drink
4 ways to choose a main dish
3 ways to choose a dessert
2×4×3=24
Therefore, by algebra the answer will be 24.
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Find the missing side
Answer:
[tex]\huge\boxed{\sf x = 8.2}[/tex]
Step-by-step explanation:
Since it is a right-angled triangle, we will apply Pythagoras Theorem.
Given are:
Base = 16
Perpendicular = x
Hypotenuse = 18
Pythagoras Theorem:
[tex]\sf (Hypotenuse)^2=(Base)^2+(Perpendicular)^2[/tex]
(18)² = (16)² + (x)²
324 = 256 + x²
Subtract 256 to both sides
324 - 256 = x²
68 = x²
Take sqrt on both sides
8.2 = x
x = 8.2
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
We have,
Perpendicular = 16Hypotenuse = 18Base = xWe know that,
[tex] \large\boxed{\sf (Hypotenuse)^2=(Perpendicular)^2+(Base)^2}[/tex]
[tex]\longmapsto \sf \: (18)^2=(16)^2+x^2[/tex]
[tex]\longmapsto \sf \: (18)^2-(16)^2=x^2[/tex]
[tex]\longmapsto \sf \: x^2=324-256[/tex]
[tex]\longmapsto \sf \: x^2=68[/tex]
[tex]\longmapsto \sf \: x = \sqrt{68}[/tex]
[tex]\longmapsto \sf \: x ≈8.25 [/tex]
find the area of the figure. use 3.14 for pi.
a 133.5
b 188.5
c 149.25
d 94.25
Answer:
d. 94.25 in²
Step-by-step explanation:
The area of this composite figure is the sum of the areas of a semicircle and a triangle. Each of those areas can be found using the appropriate formula:
semicircle: A = (π/2)r²
triangle: A = 1/2bh
__
semicircleThe semicircle has a radius equal to half its diameter. The radius is (10 in)/2 = 5 in. Its area is ...
A = (3.14/2)(5 in)² = 39.25 in²
triangleThe area of the triangle with base 11 in and height 10 in is ...
A = 1/2bh
A = 1/2(11 in)(10 in) = 55 in²
total areaThe area of the figure is the sum of the areas of the semicircle and triangle, so is ...
figure area = (39.25 in²) +(55 in²)
figure area = 94.25 in²
Pleaseeee help school ends tmrw
Answer:
y=3x-23
Step-by-step explanation:
You have to distribute 3 and you get y+5=3x-18 and then move 5 over by subtracting it from each side you get y=3x-23 hope you enjoy your summer!
Answer:
C. y = 3x - 11
Step-by-step explanation:
Combine the y and 3
Add the 5 and 6 to get 11
Write the equation in standard form
change this to an improper fraction 3 1/8
Answer: 25/8
Step-by-step explanation:
[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
Change 3+1/8 to an improper fraction.
[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
First, multiply the whole part (3) times the denominator (8):-
[tex]\bold{3\times8=24}[/tex]
Now add the numerator:-
[tex]\bold{25}[/tex]
That's the numerator of the improper fraction, and the denominator stays the same.
[tex]\bigstar[/tex] Therefore, the fraction is
[tex]\bold{\dfrac{25}{24}}[/tex]
Good luck.[tex]\rule{300}{1}[/tex]
14. A unfair coin has the probability of heads
3 / 8
and the probability of tails
5 / 8
. What is the probability
of tossing three heads in a row? Of tossing two heads followed by one tail? Of tossing two heads and one
tail in any order?
Answer :
the probability of tossing three heads in a row
[tex]=\left( \frac{3}{8} \right)^{3} =\frac{27}{512} =0.052734375[/tex]
…………………………………………
the probability of tossing two heads followed by one tail
[tex]=\left( \frac{3}{8} \right)^{2} \times \left( \frac{5}{8} \right) =\frac{45}{512}[/tex]
……………………………
the probability of two heads and one tail in any order
[tex]=3\times \left( \frac{3}{8} \right)^{2} \times \left( \frac{5}{8} \right) =\frac{135}{512}[/tex]
Identify the two whole numbers between which the product lies 7x8/10
Hey there!
7 * 8/10
= 7/1 * 8/10
= 7/1 * 8 ÷ 2 / 10 ÷ 2
= 7/1 * 4/5
= 7(4) / 1(5)
= 28/5
≈ 5.6
= 5 3/5
So, therefore the answer should be:
Anywhere BETWEEN 5 & 6
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
5 and 6
Step-by-step explanation:
The product of the whole number and fraction is ...
7×(8/10) = (7×8)/10 = 56/10 = 5.6
This lies between 5 and 6.
Niki wants to buy all the fruits as shown on the menu. If she gets a discount of $50 off the cost of the Cherry and $25 each off the remaining fruits, how much will Niki pay after the discounts?
fruit menu
fruits. Quality. cost
1.cherry 11b. $150
2.bananas ¼ doz. $200
3.watermelon. 11b. $125
mangos. each. $ 75
Answer:
Niki will pay $425 after the discounts.
Step-by-step explanation:
Cherry originally costs 150$, and you can subtract the discount of 50$ from that to get 100$ total for cherries.
Banana originally costs 200$, and you can subtract the discount of 25$ from the original cost to get 175$ total for bananas.
Watermelon originally costs 125$, and after subtracting the discount of 25$, you can determine the total cost for watermelons, which is 100$.
Mangoes originally costs 75$, subtract the discount of 25$, and you get the total for mangoes at 50$.
Add the costs after discounts (100$ for cherry, 175$ for banana, 100$ for watermelon, 50$ for mangoes), and you get 425$, which is the total cost for the fruit after discounts.
Jerry boards a Ferris wheel from the bottom of the wheel (the 6 o'clock position) and the Ferris wheel rotates counterclockwise. The center of the wheel is 30 feet from the ground and the radius if the wheel is 25 feet.
Using a sine function, describe a function g that represents the height above the ground (in feet) in terms of the time since the Ferris wheel began rotating if the Ferris wheel rotates at a speed of 2 radians per second.
O9(0)-25 cos(+)+30
Og(t)- 25 sin(2t - )+30
Og(t)- 25 sin(+)+30
Og(t)- 25 cos (2+)+30
function g that represents the height above the ground (in feet) in terms of the time since the Ferris wheel began rotating if the Ferris wheel rotates at a speed of 2 radians per second is g(t) = 25cos(2t) feet+30
What is angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
The height g(t) above the center after t minutes is given by
g(t) = 25cos(r(t))
g(t) = 25cos(2t) feet+30
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Questions in the attached file.
The area of the triangle based on the information given will be 4 units square
How to calculate the triangle?It should be noted that the area of a triangle is calculated by using the formula:
= 1/2 × base × height
Therefore, the area of the triangle will be:
= 1/2 × base × height
= 1/2 × 2 × 4
= 4 units²
In conclusion, the area of the triangle given will be 4 units square.
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valuate if x = 2 and y = 6 4x + 5y
Answer:
38
Step-by-step explanation:
4(2)+5(6)
=8+30
The answer=38
The drug Viagra comes in a quantity of 30 tablets with an AWP of $900. The pharmacy has an agreement with the supplier to purchase the drug at the AWP minus 15%. The insurer is willing to pay the AWP less 5% plus a $2.50 dispensing fee. How much profit does the pharmacy make on a prescription for 6 tablets?
The profit of 5103.5 by making a prescription for 6 tablets.
What is percentage?
Percentage, a relative value indicating hundredth parts of any quantity.
The drug Viagra comes in a quantity of 30 tablets with an AWP of $900.
The insurer is willing to pay the AWP less 5% plus a $2.50
900/TAB = X 30 TABS =$27000
27000 * (0.05)= $1350
27000-1350.00
=$25650 + $2.50
=25652.5 for 30 tablets
For 6 tablets,
= (25652.5 / 30)*6
= 5103.5
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A conclusion that is proved to be true by deductive reasoning is called a theorem.
True
False
Answer:
True,
Step-by-step explanation:
In math we prove the theorem using known axioms in Math.
Answer: True
Step-by-step explanation:
Please answer for me, image below. Thanks!
Answer: ya were right its 135
Step-by-step explanation:
we kno that QRS is 180 degrees.
so to get QRT we subtract 45 from 180.
180 - 45
135
ya were right
Answer:
135
Step-by-step explanation:
QRT and TRS add to 180
180-45=135
how do I solve this?