Answer: (d)
Step-by-step explanation:
Given
Price of the stock is given by the function
[tex]P=10e^{km}[/tex]
after 4 months, price increases to $14.60
Insert the value in the function
[tex]\Rightarrow 14.60=10e^{4k}\\\\\Rightarrow 1.46=e^{4k}\\\text{Taking natural log both sides}\\\Rightarrow \ln 1.46=\ln e^{4k}\\\Rightarrow 0.378=4k\\\Rightarrow k=0.0946\approx 0.095\ \text{per month}[/tex]
hence, option (d) is correct.
A bag of colored candies had 38 brown candies, 6 red pieces, 19 yellow pieces, 8 blue pieces, 17 orange pieces, and 12 green pieces. How many green pieces would you expect to find in a bag of 250 candies?
Answer:
138
Step-by-step explanation:
Find the geometric mean of 16 and 36. Write your answer in simplest form. The geometric mean is
Answer:
Step-by-step explanation:
the geo. mean is the nth root of the product of n numbers
Here there are two numbers; geo. mean is the square root of their product
g = √(16 * 36)
g = 4 * 6
g = 24
Geometric mean is the mean which is the average of a set of a product.
The geometric mean of the given numbers is 24.
What is geometric mean?Geometric mean is the mean which is the average of a set of a product.
It can be given as,
[tex](\prod_{i=1}^{n}x_i)^{1/n}=\sqrt[n]{x_1\times x_2\times x_3...........x_n}[/tex]
Here [tex]x_i[/tex] is the values of the average and [tex]n[/tex] is the number of values.
Given information-
The numbers given in the problem is 16 and 36.
The Geometric mean for the number 16 and 36 has to find out.
Use the above formula to find the geometric mean for the number 16 and 36. Thus,
[tex]\prod=\sqrt{16\times36}[/tex]
[tex]\prod=\sqrt{576}\\\prod=24[/tex]
Hence the geometric mean of the given numbers is 24.
Learn more about the geometric mean here;
https://brainly.com/question/47038
if sarah went to the shop and there was a 10% sale. she was going to buy 7 CDs for $60
Answer:
10 % of 60$ => 10/100 × 60$ => 6$
6$ for 7 cds => 42 $
Kate has 3 quarts of a 5% sugar solution she wants to mix this with 2478% sugar solution and X quarts of a 12% sugar solution to make a 10% sugar solution how many quarts of a 12% sure solution to Katie‘s
Answer:
The volume of the 12% sugar solution required, 'X' for a given volume of the 8% sugar solution, 'Y' is;
X = (2·Y + 15)/2
When the volume of the 8% sugar solution, Y = 2 quartz, the volume of the 12% sugar solution required, X = 9.5 gallons
Step-by-step explanation:
The data of the sugar solutions are;
The volume of 5% sugar solution Kate has = 3 quarts
The volume of the 12% sugar solution = X
Let 'Y' represent the volume of the 8% sugar solution, we have;
The volume of the resultant solution, Z = X + Y + 3
The concentration of the resultant solution = 10%
0.05 × 3 + 0.08·Y + 0.12·X = 0.1·(X + Y + 3)
Solving gives the relationship between the volume of the 12% sugar solution, 'X', and the 8% sugar solution, 'Y' in quartz, as follows;
X = (2·Y + 15)/2
When the volume of the 8% sugar solution, Y = 2 quartz, we have;
X = (2 × 2 + 15)/2 = 9.5
Therefore, the volume of the 12% sugar solution Katie requires to make the 10% sugar solution is 9.5 quartz.
Find the missing side.
6 is A^2
10 is B^2
what is the missing side
Answer:
8
Step-by-step explanation:
This is a right triangle, which fits the Pythagorean Theorem, a^2 +b^2 = c^2. The variables a, b, and c all are sides of the triangle, while a and b are the two legs and c is the hypothenuse.
In this problem, we see that 6 and x are the legs and 10 is the hypothenuse. We put 6 as "a" and x as "b" (but it doesn't matter which is a and b) and 10 is c. Therefore, we have the equation:
6^2 + x^2 = 10^2
which further simplifies to:
36 + x^2 = 100
x^2 = 64
and so x would equal 8 (or -8, but it is impossible to have a side length of -8).
Therefore, the missing side is 8.
Answer:
The missing side is x=8
Step-by-step explanation:
The missing side equation is a²+b²=c²
So we plug in 6²+b²=10²
This gives us 8²
See your levels
A company has $2,145 to send its employees to a conference. The conference costs $39 for
each employee who attends. How many employees can the company send to the conference?
Answer:
55
Step-by-step explanation:
if it cost 2,145 for the whole thing and 39 for each person 2,145 divide by 39= 55
What is the total area in cm^2? 50 40 30 20
Answer:
50 cm²
Step-by-step explanation:
5 · 6 = 30 cm²
14 - 6 = 8
8 · 5 = 40 cm²
40 cm² ÷ 2 = 20 cm²
30 cm² + 20 cm²
50 cm²
What iS the area of the rectangle?
Answer:
A = 6
Step-by-step explanation:
just multiply the width by the length
A. Function A is linear and Function B is exponential.
B. Function A is exponential and Function B is linear.
C. Both functions are linear.
D. Both functions are exponential.
Anyone please help I just need help with this problem
Answer:
21.91 meters
Step-by-step explanation:
Since they already give you the hypotenuse, you will find the other missing side using this formula:
A= [tex]\sqrt{c^2 - b^2}[/tex]
So c² = 1,156
and b² = 676
1156 - 676 = 480
------
The square root of 480 is around 21.91
Let's double check, to double check, pretend that you don't know the hypotenuse, but you know the a and b sides.
So: 480.05 + 676 = 1,156.05
[tex]\sqrt{1156.05}[/tex] ≈ 34
-------
Have a good day :)
Thomas is keeping records at the city fishing tournament. The table shows the information on the number of each type of fish caught in the tournament so far.
Perch: 32 Perch Fish Caught
SunFish: 21 SunFish Fish Caught
Bass: 14 Bass Fish Caught
Walleye: 12 Walleye Fish Caught
Find the probability that the next fish will be either a bass or a walleye. Write your answer as a percent, with the percent symbol. If needed, round to the nearest tenth.
Answer:
its 2.7% :D
Step-by-step explanation:
Im doing the quiz rn
explaination:
12/79 x 14/79 = 168/6241 (79 is the total fish)
168/6241 = 2.7% (rounded)
Hope I helped :D
Math HW Mr Thompson May 24
Answers:
B) 0A) 27D) 50See the diagram below.C) 143================================================
Explanations:
Refer to the top left corner of the table. This is the intersection of the "less than 1 year" column and "antlers" row.Add up everything in the "1 year or older" column to get 12+15 = 27.There are 0+12 = 12 deer with antlers, and 23+15 = 38 deer with no antlers. I'm adding across the rows. This in turn means there are 12+38 = 50 deer total. You could also add across the columns, meaning we have 0+23 = 23 deer less than 1 years old, and 12+15 = 27 deer that are 1 year or older. So we have 23+27 = 50 deer total. The explanation is lengthy. There's not much room here so I'll explain in the section below. Refer to the table below as well.Dividing everything by 143 will help us get the values into percentages. For instance, 62/143 = 0.4336 = 43.36% approximately represents the number of people who wear a belt and also wear a watch (top left corner).-----------
Explanation for problem 4
We have 68 people who split the check out of 122 total. That leaves 122-68 = 54 people who don't split the check. These two values are the row totals for rows 1 and 2 in that order. So you'll have 68 at the end of row 1, and 54 at the end of row 2. Refer to the diagram below.
We have 56 people who prefer to skip dessert, meaning 122-56 = 66 people who order desert. We'll have 66 followed by 56 along the first two items in the bottom row. The grand total 122 is in the bottom right corner. The 122 is both in the total row and total column.
Then we're told that 50 people order desert and split the check. We had 68 people split the check, leaving 68-50 = 18 people who split the check, but didn't get dessert. For the first row, we have the values 50, 18, and 68. Note that 50+18 = 68.
In the second row, we must have the values 16, 38, and 54 in that order. The blank spaces are filled in using the same ideas as I've discussed in previous paragraphs.
The terms in gray boxes represent the totals, which would be left out when forming the table in your final answer. Meaning you'll have a 2x2 table instead of a 3x3 table.
The surface area of a three-dimensional object is? This is a brainpop question, there is no picture, and tis a straight forward question
Answer:
What it is is basically when you take the area of every side of a three dimensional shape and then add it all together.
don't know if this is what you were looking for but I hope this helps.
Find U of trapezoid TUVS
Answer:
[tex]m<U = 103[/tex]
Step-by-step explanation:
The given trapezoid is an isosceles trapezoid, meaning that the two legs of the trapezoid (sides that intersect the parallel lines) are congruent. One of the proprieties of an isosceles trapezoid is that the opposite angles are supplementary, meaning that the sum of the opposite angles is 180. One can apply this theorem here by stating the following,
[tex]m<S + m<U = 180[/tex]
Substitute,
[tex]77+m<U = 180[/tex]
Inverse operations,
[tex]77+m<U = 180[/tex]
[tex]-77[/tex]
[tex]m<U = 103[/tex]
Answer:
[tex] m\angle U = 103\degree[/tex]
Step-by-step explanation:
[tex] m\angle T + m\angle S = 180\degree [/tex] (interior angles on the same side of transversal)
[tex] m\angle T + 77\degree = 180\degree [/tex]
[tex] m\angle T = 180\degree- 77\degree[/tex]
[tex] m\angle T = 103\degree[/tex]
[tex] m\angle U =m\angle T [/tex]
(base angles of an isosceles trapezoid)
[tex] m\angle U = 103\degree[/tex]
During a sale, an automobile dealer sold 69 cars and trucks. If she sold 27 more cars than trucks, how many did she sell?
She would have sold 96 cars in total.
Nicole, Jared, Adam, and Mary are in a tennis tournament. They all have an equal chance of winning. Use an organized list to help you answer what is the probability that Nicole will come first or second?
Answer:
½
Step-by-step explanation:
since they're 4 of them and she has 1 chance of being 1st or 2nd...it would be 2 out of 4 and when simplified it is ½
The formula for the circumference, C, of a circle with given radius, r, is C = 2nr.
What is the circumference of a circle with a radius of 3 1-2 meters?
(Use 21
22
as an estimate for n.)
A. 7 meters
B. 11 meters
C. 22 meters
D. 44 meters
Answer:
C. 22
Step-by-step explanation:
C = circumference
n (pi) = 22/7
r = 3 1 /2
Plug in the numbers for each variable.
C = 2x (22/7) x (3 1/2)
Change the mixed number inIto an improper fraction by multiplying 3 x 2 and adding the 1 which gives us 7 over 2 because 2 is our denominator so, 3 1/2 = 7/2. It also helps to have 1 as the denominator for 2.
C = (2/1) x (22/7) x (7/2)
Lastly, just multiply the numerators across which give us 308 then multiply the denominators across which gives us 14, so then we divide 308 by 14 and get 22.
A study found that soda sales increase in stores located in neighborhoods that have banned soda sales in schools which best
describes how such a study would be designed as an observational study?
Answer:
Step-by-step explanation:
No attempt is made to influence anything - just ask questions and record the responses. By definition, An observational study measures the characteristics of a population by studying individuals in a sample, but does not attempt to manipulate or influence the variables of interest.
What is the answer to n+ 9 =9
Calculate the sum. -16 + (-12) C A. 28 B. 4 C. -4 D. -28
Answer:
-28
Step-by-step explanation:
-16 +(-12)
= -16 - 12
adding both of them,
= - 28
Given m || n, find the value of x and y.
m(7x+13)
n(3y-17) (9x-19)
Answer:
[tex]9x - 19 = 7x + 13 \\ 2x = 32 \\ x = 16 \\ 3y - 17 + 9x - 19 = 180 \\ 9x + 3y = 180 + 17 + 19 \\ 9x + 3y = 216 \\ 3y = 216 - 144 = 72 \\ y = \frac{72}{3} = 24[/tex]
Mila and Nadia have R480 between them.
Mila has 7 times as much as Nadia.
How much does each of them have?
Answer:
Mila= 420 Nadia= 60
Step-by-step explanation:
Let's call Mila 7x. And x to Nadia. The two of them had a total of 480s.
Then we say 7x + x. Their total is 8x. So 480 = 8x. We divide both sides by 8. Here x = 60. Since Mila is 7x, we find Mila as 7.60 = 420, and since Nadia as x, we find Nadia as 1.60 = 60.
If there is any place you don't understand, you can ask.
#Achievements
Simplify 8^3 divided by 4^2. A.) 2 B.) 3 C.) 33
Answer:
32
Step-by-step explanation:
[tex]\frac{8^{3}}{4^{2}} = \frac{512}{16} = 32[/tex]
Answer:
32.
Step-by-step explanation:
[tex]8^3/4^2[/tex]
First, simplify the exponents by converting the exponents into numbers.
[tex]8^3=512[/tex]
[tex]4^2=16[/tex]
Lastly, divide as normal.
[tex]512/16=32[/tex]
Therefore, 8³ ÷ 4² = 32.
I WILL GIVE U BRAINLIEST AND THANKS AND 5 STARS please help this is very important this is a big part of my grade
Solve the following:
There are 500 students in school . 40% of them are boys and rest are girls. What is the percentage of girls? Also find the numbers of boys and girls in the school.
Answer:
300 girls, 200 boys
Step-by-step explanation:
To find boys: 500 x 0.4 = 200
To find girls: 500 x 0.6 = 300
60% girls
Round 958.989730730 to the nearest hundredth
Answer:
958.99
Step-by-step explanation:
Since the nine is bigger than four, you'd make the eight a nine.
For further help I suggest this website:
https://www.varsitytutors.com/hotmath/hotmath_help/topics/rounding-decimals
Four classmates collect data by conducting a poll. They
ask students chosen at random how many days a week
they ride the bus to school.
• Savannah interviews 18 students.
• Logan Interviews 56 students.
.
Hailey Interviews 24 students.
• James interviews 32 students.
Whose results are probably the most trustworthy?
O A. Logan's
B. Hailey's
O C. Savannah's
O D. James's
Answer:logan
Step-by-step explanation:
I did it on a test and got it right.
A TV, has a listed price of $823.95 before tax. If the sales tax rate is 7.75%, find the total cost of the TV with sales tax included.
Round your answer to the nearest cent, as necessary.
Answer:
The price is $887.81.
Step-by-step explanation:
Multiply $823.95 by 0.075 to find the sales tax. Then add that number to the total, $823.95, to get $887.81.
HELP I WILL MARK YOU BRAINLIEST PLEASE
Mai had $14.50. She spent $4.35 at the snack bar and $5.25 at the arcade. What is the exact amount of money Mai has left?
Kristina rides her bicycle 384.25 miles over 29 weeks to and from her job. How many miles does she ride each week to and from her job if she rides the same amount each week?
Question: Mai had $14.50. She spent $4.35 at the snack bar and $5.25 at the arcade. What is the exact amount of money Mai has left?
Answer: $4.90
Steps: Step 1: Find operation: The operation in this problem is subtraction because words such as "spent" means that she used money, meaning we subtract.
Step 2: Figure out order of numbers: Now that we know that the operation is subtraction, we need to know what numbers to subtract. The problem says that Mai had $14.50, which means that this is the total amount of money she had when she started. Spent means that Mai used money, so this means that we subtract like this: $14.50-$4.35-$5.25.
Step 3: Subtract: Now that we know what operation to use, and what order to use the numbers, we can finish the problem:
$14.90 - $ 4.35 ------------------- $10.15 - $ 5.25 -------------------- $4.90--------------------------------------------------------------------------------------------------------------
Question: Kristina rides her bicycle 384.25 miles over 29 weeks to and from her job. How many miles does she ride each week to and from her job if she rides the same amount each week?
Answer: 13.25
Steps: 1: Find operation: To solve this question, we need to find the operation. Words such as "same amount each week" mean that this is division.
Step 2: Figure out order of numbers: Now, we need to figure out what to divide by. We divide 384.25 by 29 because it say that she rides 384.25 miles over 29 weeks.
Step 3: Divide: Now, we will solve the equation: 384.25 divided by 29 is 13.25, so the answer is 13.25.
Hope this helps you!
P.s. Sorry I could not show how to divide 384.25 by 29.
solve the equations: 4x - 6 = 6 - 2x , 3(x - 4) = 5
Answer:
First of all are we solving for x
Step-by-step explanation:
4 × 3 = 12 =
6 - 2 ×