Answer:
The interest rate is 7.58%
Step-by-step explanation:
Compound continuous interest can be calculated using the formula:
A = P[tex]e^{rt}[/tex], where
A is the future value of the investment, including interestP is the principal investment amount (the initial amount)r is the interest rate in decimalt is the time the money is invested for∵ Angus has $3,000 he want to invest
∴ P = 3000
∵ The interest rate is compounded continuously
∵ Angus has $5,500 in 8 years
∴ A = 5500
∴ t = 8
→ Substitute them in the rule above to find r
∵ 5500 = 3000[tex]e^{8r}[/tex]
→ Divide both sides by 3000
∴ [tex]\frac{11}{6}[/tex] = [tex]e^{8r}[/tex]
→ Insert ㏑ in both sides
∵ ㏑( [tex]\frac{11}{6}[/tex] ) = ㏑([tex]e^{8r}[/tex])
→ Remember ㏑([tex]e^{n}[/tex]) = n
∴ ㏑( [tex]\frac{11}{6}[/tex] ) = 8r
→ Divide both sides by 8
∴ 0.07576697545 = r
→ Multiply it by 100% to change it to a percentage
∴ r = 0.07576697545 × 100%
∴ r = 7.576697545 %
→ Round it to the nearest hundredth
∴ r ≅ 7.58
∴ The interest rate is 7.58%
PLEASE HELP
subtract 6 from w, then double the result
Answer:
2(w - 6)
Step-by-step explanation:
subtract 6 from w and then multiply by 2
Define a variable. Write and solve each equation.
9. Anna wants to take horseback riding lessons.
She is given $200 for her birthday to cover the
cost. She has to pay $20 for grooming supplies.
If the lessons are $30 an hour, how many lessons
can Anna take?
The answer is x = 6
Let us first define x to be the number of hours of riding lessons she can take.
X = Hours of lessons
Now, she has $200, she needs to pay $20 for grooming supplies, and the lessons cost $30 an hour. We to find the maximum amount of hours of lessons she can take, so in other words, we want to make her broke. To do this, we first convert the words into an equation:
200 - 20 - 30x = 0
Simplifying, we get
180 = 30x
x=6
I need help i dont understand what's it asking me to do
You have to prove that 2 angles are conguent to the other triangles angles; example: ∠A≅∠C by the additon POC (2 of those) and then one side; example: AB≅BA by the reflexive POE (1 of those)
I cant see the triangles but thats how you do them, also im learning this right now too, look up the triangle congruence things like ASA ≅ SSS≅ HL≅ exc. a chart will explain how to prove them using that:
Choose the graph of the linear equation, 30x + 75y = 300?
On a coordinate plane, a line goes through points (0, negative 4) and (4, negative 2).
On a coordinate plane, a line goes through points (negative 8, 0) and (0, 3).
On a coordinate plane, a line goes through points (0, 4) and (10, 0).
Answer:
C
Step-by-step explanation:
Answer:
its c
Step-by-step explanation:
i just did it
The data below represents the number of workouts each member of Big Muscles Gym attended last month. 4,5,7,7,7,8,10,11,11,13,13,144,5,7,7,7,8,10,11,11,13,13,144, comma, 5, comma, 7, comma, 7, comma, 7, comma, 8, comma, 10, comma, 11, comma, 11, comma, 13, comma, 13, comma, 14 Which box plot correctly summarizes the data?
Given:
The data values are 4, 5, 7, 7, 7, 8, 10, 11, 11, 13, 13, 14.
To find:
The box plot for the given data set.
Solution:
The data values are
4, 5, 7, 7, 7, 8, 10, 11, 11, 13, 13, 14
Divide these values in two equal parts.
(4, 5, 7, 7, 7, 8), (10, 11, 11, 13, 13, 14)
Divide each group again in two equal parts.
(4, 5, 7), (7, 7, 8), (10, 11, 11), (13, 13, 14)
Here,
Minimum value = 4
[tex]Q_1=\dfrac{7+7}{2}=\dfrac{14}{2}=7[/tex]
[tex]Median=\dfrac{8+10}{2}=\dfrac{18}{2}=9[/tex]
[tex]Q_3=\dfrac{11+13}{2}=\dfrac{24}{2}=12[/tex]
Maximum value = 14
It means, the starting point is 4 and end point is 14 of the box plot.
Box is lies from 7 to 12 and one line inside the box at 9.
Therefore, the box plot of the given data set is shown below.
Duane recorded the temperature outside his window one morning. On the second day, the temperature went up 7 degrees. On the third day, the temperature went down 10 degrees. On the fourth day, the temperature went down 6 degrees, and it was 1°F. What was the temperature on the first day?
Answer:
The temperature on the first day was 10 °F.
Step-by-step explanation:
Let's find the temperature in every single step starting from the fourth day:
[tex]T_{4} = T_{3} - 6 F = 1 F[/tex]
[tex] T_{3} = 1 F + 6 F = 7 F [/tex]
Then, the temperature of the third day was 7 °F
On the third day:
[tex] T_{3} = T_{2} - 10 F = 7 F [/tex]
[tex] T_{2} = 7 F + 10 F = 17 F [/tex]
Hence, the temperature on the second day was 17 °F.
Now, on the second day:
[tex]T_{2} = T_{1} + 7 F = 17 F[/tex]
[tex] T_{1} = 17 F - 7 F = 10 F [/tex]
Therefore, the temperature on the first day was 10 °F.
I hope it helps you!
8x-17+5x+19
Solve for x & find the converse
Answer:
4 if rong so so sorry
Step-by-step explanation:
Dan can ride his skateboard 2 miles in 10 minutes. How many miles can he ride his skateboard in 30 minutes?
Answer:
6
Step-by-step explanation:
What is the remainder of 715 divided by 9
Answer:
79 R 4 or 79 R 4/9
Step-by-step explanation:
Answer:
honestly idek
Step-by-step explanation:
just look it up
Solve for f(-1) =
f(x)= (x+8)²+21
Step-by-step explanation:
f(-1) = [(-1) + 8]² + 21 = 7² + 21 = 70.
Answer:
(x+8) 2+21
..................
Rebecca already knew 1 appetizer recipe before starting culinary school, and she will learn 3
new appetizer recipes during each week of school. After how many weeks of culinary school
will Rebecca know a total of 43 appetizer recipes?
Answer:
14 weeks
Step-by-step explanation:
so from what we know she already learned one appetizer recipe so she needs to learn 42 more so what we need to do since it's three every week we need to multiply three until we are able to get 42 so three times 14 gets 42 so that means that the answer would be 14
Here is a triangular prism 5 cm 1 What is the volume of the prism, in cubic centimeters? 2. What is the surface area of the prism in square centimeters? For your ans, just type the number.)
Answer:
Volume = 100cm³
surface area=
The volume of Triangular Prism is 120 [tex]cm^{3}[/tex] and the surface area of triangular prism is 184 [tex]cm^{2}[/tex]
What is triangular prism?A triangular prism is a 3D shape with two identical faces in the shape of a triangle connected by three rectangular faces. The rectangular faces are referred to as the lateral faces, while the triangular faces are called bases. The bases are also called the top and the bottom (faces) of the prism.
What is the volume of triangular prism?The volume of a triangular prism is the product of its triangular base area and the length of the prism.
Volume of Triangular Prism = ½ × b × h × l,
where b is the base length of the triangle, h is the height of the triangle, and l is the length of the prism.
What is the surface area of triangular prism?The surface area of a triangular prism is the area that is occupied by its surface. It is the sum of the areas of all the faces of the prism.
Surface area = (Perimeter of the base × Length) + (2 × Base Area)
According to the question
Length of the prism. = 10cm
Base length of the triangle = 6 cm
Height of the triangle = 4 cm
1> Volume of Triangular Prism = ½ × b × h × l
= ½ × 6 × 4 × 10
= 120 [tex]cm^{3}[/tex]
2> The surface area of triangular prismAs, Base area in Triangular Prism base is always triangular part
i.e Base area = 1/2 * 4 * 6
= 12 [tex]cm^{2}[/tex]
Perimeter of the base = 5 + 5 + 6
= 16 cm
Length of the prism = 10 cm
Surface area = (Perimeter of the base × Length) + (2 × Base Area)
substituting the value
Surface area = (16 * 10 ) + (2 * 12 )
= 184 [tex]cm^{2}[/tex]
Hence, The volume of Triangular Prism is 120 [tex]cm^{3}[/tex] and the surface area of triangular prism is 184 [tex]cm^{2}[/tex]
To know more about triangular prism here:
https://brainly.com/question/24046619
#SPJ2
Hari's weekly allowance varies depending on the number of chores he does. He received $20 in allowance the week he did 14 chores, and $14 in allowance the week he did 2 chores. Write an equation for his allowance in slope-intercept form. The equation for Hari's allowance in slope-intercept form is
explain better or brainliest cant do that
If y − 1 = 4x, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs?
Answer: {(0, 1), (1, 5), (2, 9)}
Step-by-step explanation:
Given linear equation: y-1=4x which can be rewritten as
y=4x+1
To find the set which represents possible inputs and outputs of the function. Let's check all the options
A. {(1, 4), (2, 8), (3, 12)}
at x=1
y=4(1)+1
⇒y=5≠4
Thus this set is not the required set.
B. {(4, 1), (8, 2), (12, 3)}
at x=4
y=4(4)+1
⇒y=16+1=17≠1
Thus this set is not the required set.
C.{(0, 1), (1, 5), (2, 9)}
at x=0
y=4(0)+1
⇒y=1
Thus this set is the required set represents possible inputs and outputs of the function.
D. {(1, 0), (5, 1), (9, 2)}
at x=1
y=5≠0
Thus this set is not the required set.
Wahts the value of N
Answer:
n=7
Step-by-step explanation:
33-19÷2= 7
sorry if my answer is wrong
Find m please help me i’ve been stuck on this problem for 30 minutes!!!
6×+8=14 5×+2=7 14×7=98 ∆m=4.66
Tom is going to turn little Quacker into roast duck! He goes to the grocery store to get some salt and pepper seasoning to his duck dinner. Salt costs .50 cents per scoop. Pepper cost .75 cents per scoop, and he wants to speand less that $5. He plans to bring home no more than 8 scoops of seasoning
Answer:
He can buy 3 scoops of salts and 4 scoops of pepper or 4 scoops of salts and 3 scoops of pepper spent maximum.
Step-by-step explanation:
Given that:
The cost of salt = 50 cents / scoop =$ 0.5 / scoop
The cost of pepper =75 cents / scoop = $ 0.75 / scoop
Let he buys x scoops of salt and y scoops of pepper.
As he plans to bring home no more than 8 scoops of seasoning, so
[tex]x+y\leq8\cdots(i)[/tex]
The total cost of x scoops of salt and y scoops of pepper = 0.5x+0.75y
As he wants to spend less than $5, so
[tex]0.5x+0.75y<5 \\\\ \Rightarrow 50x+75y<500 \\\\\Rightarrow 2x+3y <20\cdots(ii)[/tex]
Here, [tex]x\geq 0, y \geq 0[/tex] and x,y are counting numbers.
On plotting the graph of equations (ii) and (ii), the possible solution is the integral values in the shaded as shown in the figure.
The maximum possible integral values, for expances less than $5, are (x,y)=(3,4), (4,3).
Hence, he can buy 3 scoops of salts and 4 scoops of pepper or 4 scoops of salts and 3 scoops of pepper to spent maximum.
PLEASE HELPPP!!! ILL GIVE YOU BRAINLIEST!
Answer:
Look at this
Step-by-step explanation:
Maximum
(-1,5)
next time use a resource like desmos
Please help me with this question
Answer:
A
Step-by-step explanation:
Remark
f and d are equal (and acute) because they are corresponding angles.
82 and f are supplementary, so we can find f
Finding f
f + 82 = 180
f = 180 - 82
f = 82
Finding d
d = f
d = 82
Can someone please help me with the question.
Divide using LOND DIVISION:
(4x^4-5x^2+2x-11)/(2x+3)
a. 2x^3-3x^2+2x+4+-23/2x+3
b. 2x^3-3x+2x-2+-5/2x+3
c. 2x^3-3x^2-2x+2+5/2x+3
d. none of these
Answer: D (none of these)
Step-by-step explanation:
Stacy buys 3 CDs in a set for $30.38. She saved $6.64 by buying the set instead of buying the individual CDs.
If each CD costs the same amount, how much does each of the 3 CDs cost when purchased individually?
Norman is a sunflower farmer. He uses a plot of
land that is 3 km by 4.3 km. How much land
does he use for his sunflowers
Answer: 12.9 square km
Step-by-step explanation: 4.3 x 3 =12.9
HELP PLZ TEXT MESSAGE: The cost of a text message increases from $0.10 per messages to $0.25 per message. What is the percent increase in the cost of sending a text message?
Which table represents the statement “An airplane is flying at a speed of 525 miles per hour”?
A 2-column table with 3 rows. Column 1 is labeled hours with entries 525, 1,050, 1,575. Column 2 is labeled distance with entries 1, 2, 3.
A 2-column table with 3 rows. Column 1 is labeled hours with entries 1, 2, 3. Column 2 is labeled distance with entries 525, 1,050, 1,575.
A 2-column table with 3 rows. Column 1 is labeled hours with entries 1, 2, 3. Column 2 is labeled distance with entries 525, 1,000, 1,525.
A 2-column table with 3 rows. Column 1 is labeled hours with entries 1, 2, 3. Column 2 is labeled distance with entries 525, 526, 527.
Answer:
the answer is B
Step-by-step explanation:
got it right on edge
Answer:
Its b
Step-by-step explanation:
I got it right on my test
i have to write it in standard form
b.
f
(sec A+ 1) (sec A-1) (cosec A + 1) (cosec A-1)
Answer:
=(sec2A-1) (cosec2A-1)
What are the variables in each graph? Describe how the variables are related at various
points on the graph.
9514 1404 393
Answer:
variables: time, volumepoints show volume at a given timeStep-by-step explanation:
The axes labels give you a clue as to the variables: time, volume.
__
The graph is a plot of volume versus time. That is, each point is the volume at a particular time.
Select the correct answer from each drop-down menu.
Need help ASAP I have to finish this today <3
Angle D and angle B are equal.
65 is the product of of Mai's age and 5.
Use the variable m to represent Mai's age.
Answer:
13
Step-by-step explanation:
5x = 65
x = 65/5
x = 13
6th grade math i mark as brainliest
Answer:
quotient im pretty sure i haven't been in 6th grade in 2 years so sorry if im wrong
Step-by-step explanation: