Answer:
10.6%
Step-by-step explanation: Find new values:
3820(1+0.15)=\color{green}{4393}
3820(1+0.15)=4393
2960(1+0.05)=\color{blue}{3108}
2960(1+0.05)=3108
Last Year This Year
Stock A 3820 4393
Stock B 2960 3108
Total 6780 7501
\text{Find overall increase:}
Find overall increase:
6780(1+r)=7501
6780(1+r)=7501
\frac{6780(1+r)}{6780}=\frac{7501}{6780}
6780
6780(1+r)
=
6780
7501
1+r=1.106342
1+r=1.106342
r=0.106342
r=0.106342
Subtract 1
\text{Final Answer: }10.6\%
Final Answer: 10.6%
Multiply by 100 and round to nearest 10th
The dimensions of a right rectangular prism are 0.25 m, 0.36 m, and 0.14 m. What is the volume of the prism use the V = 1 x w x h
Jennifer buys a 2-liter bottle of apple juice and a 3-liter bottle of orange juice at the market. How many deciliters of juice does jennifer buy in call
Answer:
50 deciliters
Step-by-step explanation:
Given that,
Jennifer buys a 2-liter bottle of apple juice and a 3-liter bottle of orange juice at the market.
Total = 2 L bottle of apple juice + 3 L bottle of orange juice
= 5 L
We need to find how many deciliters of juice does Jennifer buy in all.
Since, 1 L = 10 Deciliter
5 L = 50 Deciliter
So, she will buy 50 deciliters of juice.
Working together, two ants named Aran and Beatrice can build an ant hill in 10 hours. Aran and Charlie can build the ant hill in 12 hours. Beatrice and Charlie can build the ant hill in 15 hours. How long, in hours, will it take to build the ant hill if Aran, Beatrice, and Charlie work together?
Here we have a problem of rates of work, we want to know how long will take the 3 ants to build an ant hill if they work together.
We will find that working together, they need to work for 8 hours.
----------------------------------
Let's start by defining the variables that we will use:
A = rate at which Aran worksB = rate at which Beatrice works.C = rate at which Charlie works.Now let's see the given information:
"Aran and Beatrice can build an ant hill in 10 hours"
This can be written as:
(A + B)*10 h = 1 ant hill
"Aran and Charlie can build the ant hill in 12 hours"
This can be written as:
(A + C)*12 h = 1 ant hill
"Beatrice and Charlie can build the ant hill in 15 hours"
This can be written as:
(B + C)*15 h = 1 ant hill.
Then we have 3 equations:
[tex](A + B)*10 h = 1[/tex]
[tex](A + C)*12 h = 1[/tex]
[tex](B + C)*15 h = 1[/tex]
Where for commodity, I removed the "ant hill" unit.
Now we need to solve this system of equations, to do it, we need to isolate one variable in one of the equations and then replace it on another equation.
I will isolate A in the first equation:
[tex]A = \frac{1}{10h} - B[/tex]
Now we can replace it in the second equation to get:
[tex](\frac{1}{10h} - B + C)*12h = 1[/tex]
Now we can isolate C in the last equation to get:
[tex]C = \frac{1}{15h} - B[/tex]
Replacing that in the above equation we get:
[tex](\frac{1}{10h} - B + \frac{1}{15h} - B)*12h = 1\\\\\frac{1}{6h} - \frac{1}{12h}= 2*B\\\\\frac{1}{2}*\frac{1}{12h} = \frac{1}{24h} = B[/tex]
This means that Beatrice alone would construct the hill in 24 hours.
Now that we know the value of B, we can use:
[tex]C = \frac{1}{15h} - B = \frac{1}{15h} - \frac{1}{24h} = \frac{1}{40h}[/tex]
This means that Charlie needs 40 hours to finish the hill alone.
Finally, we can use [tex]A = \frac{1}{10h} - B[/tex] to find the value of A:
[tex]A = \frac{1}{10h} - B = \frac{1}{10h} - \frac{1}{24h} = \frac{7}{120h}[/tex]
Now if the 3 ants work together, the total rate at which they work is:
[tex](A + B + C) = (\frac{7}{120h} + \frac{1}{40h} + \frac{1}{24h} ) = 0.125 h^{-1}[/tex]
This means that they need to work for the inverse of that rate
[tex]\frac{1}{0.125h^{-1}} = 8h[/tex]
Working together, they need to work for 8 hours to complete an ant hill
If you want to learn more, you can read:
https://brainly.com/question/12895249
Make D the subject of s=d/t
Answer:
speed = distance/time
Step-by-step explanation:
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order from greatest to least 12, -4, 8, -3, 0
Write the equation 9 = -5x + 4 in the form ax + b = c, where c = 9. What are the values of a and b? I'll give brainliest
Answer:
[tex] - 5 \times - 1 = 5[/tex]
[tex]5 + 4 = 9[/tex]
Step-by-step explanation:
Therefore
[tex]a = - 5 \times - 1 = 5[/tex]
[tex]b = 4[/tex]
So 5+4=9
Answer:
69
Step-by-step explanation:
:)
tony and luke share some money in the ratio 3:7. luke recives £20 more than tony , how much do they receive.
Answer:
$ 30. okkkkkkkpkkpkkkpkdodjei
George says that an account that an account that earns 4% interest compounded annally and an account that earns 2% interest compounded semi-annually will be worth the same if the principals are the same. Analyze whether George's satement is accurate and explain which (if any) option is better. Explain how you got your answer. Use numbers and calcuations to provide evidence for your response. Answer in complete sentences.
In the top view of the square gem below, TW is the
midsegment of trapezoid SUVX.
Given that UV=10 and SX=6, find TW.
If necessary, round to one decimal place.
V
S
R
Ms. Neeson wants to share $1 equally among 7 students. What fraction of a dollar will each student get?
Answer:
1/7
Step-by-step explanation:
$1, 7 students
simply put 1 over 7 and you've got your fraction.
each student will get 1/7 of a dollar
The graph shows an image of dilation about the origin with a scale factor of 1/2
Answer:
Step-by-step explanation:
It's a
Which terms in the expression 9d2+15d3+11c2+7 have 14c2 as a like term?
Factor x3 - 8x2 - 4x + 32 completely.
Answer + explanation
x^3 -8x^2 -4x +32
answer= (x - 8)(x + 2)(x - 2)
The measure of an exterior angle of a triangle is 40°. What is the sum of the measures of the corresponding remote interior angles?
Answer:
Remember that the two non-adjacent interior angles, which are opposite the exterior angle are sometimes referred to as remote interior angles. An exterior angle of a triangle is equal to the sum of the two opposite interior angles. The sum of exterior angle and interior angle is equal to 180 degrees
$35 bill before tax
tax:5.8%
Tip:21%
Answer:
If tip goes only on amount but not on tax: $44.38
If tip goes on total including tax: $44.81
Step-by-step explanation:
If the tip is applied to the price before tax, then we need to add 5.8% and 21% of $35 to $35.
tax + tip = 5.8% + 21% = 26.8%
100% + 26.8% = 126.8% = 1.268
1.268 * $35 = $44.38
If the tip is applied to the price plus tax, then we calculate the amount including tax first, then we add the 21% tip based on that price.
Bill before tax: $35
Add 5.8% tax: 1.058 * $35 = $37.03
Add tip to the amount including tax: 1.21 * $37.03 = $44.81
Complete the statements below
1)25% of the results from November show a flow of water greater than....m^3/s.
2)Both the lower quartiles and medians were the same in the months of.......
Answer:
c) (i) 33
Step-by-step explanation:
Is x2(2x+1) fully factored?
Will give brainlist! The area of a swimming pool covers 350 square feet if the height of the pool if 5 feet what is the volume.
Find each product. Use patterns
9x101 =
9 x 102 =
9 x 103
9 x 104
9 10
9x102
9 x 103
9 x 104
simplify fully - check picture
Answer:
e/f
Step-by-step explanation:
cut out the same variables
Step-by-step explanation:
e×f/f×f
I hope this helps leave a heart
In a game, Erin is rolling a fair number cube with faces numbered 1 to 6. Which BEST describes the probability of rolling an even number?
A. impossible
B. equal to the probability of rolling an odd number
C. less likely than the probability of rolling an odd number
D. more likely than the probability of rolling and odd number
Bill baked 16 cookies with 2 scoops of flour. With 4 scoops of flour, how many cookies can Bill bake? Assume the relationship is directly proportional.
Answer:
Let c = the number of cookies
cookies/scoops of flour: 12/2 = c/3
Cross multiply.
2c = 36
c = 18 cookies
Step-by-step explanation:
Answer:
32 cookies.
Step-by-step explanation:
Find how much cookies Bill can bake with just 1 scoop of flour:
2 scoops of flour = 16 cookies
1 scoop of flour = 16 ÷ 2 = 8 cookies
Now, find 4 scoops of flour.
4 scoops of flour = 8 x 4 = 32 cookies
2.
X
6
6
What fraction will make the equation above true?
4
A.
1
B
2.
1
4
6
Answer:
What the english?
Step-by-step explanation:
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1) 2/7×1/2
2) 5/8×4/5
3) 1/6×2/3
4) 1/3×3/4
5) 1/2×2/3
6) 1/3×2/5
0.00002004 and 0.01203000 in scientific notation
Answer:
Below...
Step-by-step explanation:
Scientific Notation:
2.004 × 10-5
Scientific Notation:
1.203 × 10-2
1:Kevin Williams earns a weekly wage of $870. During the most recent week, he worked 47 hours. Gross Pay = $ 2:Charles Joyner earns a biweekly wage of $2,400. During the most recent week, he worked 42 hours. Gross Pay = $ 3:Julio Valdez earns an annual salary of $63,000. During the most recent week, he worked 42 hours. Gross Pay = $ 4:Bridget Stein earns a monthly salary of $7,300. During the most recent week, she worked 58 hours. Gross Pay = $ 5:Betsy Cranston earns a semimonthly salary of $2,100. During the most recent week, she worked 50 hours. Gross Pay = $
Answer:
Step-by-step explanation:
This is find the slope but I don’t get it. Whoever answers these two will be marked brainliest please help me I need these done and it’s currently 3 AM
Answer:
m=-2/5
Step-by-step explanation:
Slope is rise over run. In this graph the slope is negative because rise (change in the Y value) is decreasing.
Which statement is true
Three-quarters of a number is 15.
Work out four-fifths of the number.
Answer:
16
Step-by-step explanation:
let the number be x , then
[tex]\frac{3}{4}[/tex] x = 15 ( multiply both sides by 4 to clear the fraction )
3x = 60 ( divide both sides by 3 )
x = 20 , then
[tex]\frac{4}{5}[/tex] × 20 = 4 × 4 = 16
Answer:
16
Step-by-step explanation:
let the number be x , then
\frac{3}{4} x = 15 ( multiply both sides by 4 to clear the fraction )
3x = 60 ( divide both sides by 3 )
x = 20 , then
\frac{4}{5} × 20 = 4 × 4 = 16
Jamal ordered 4 pizzas. how many slices of pizza did Jamal order if each slice is 1/8 of a pizza? Please, Model!!!
Answer:
32 slices
Step-by-step explanation:
as each slice is 1/8 of pizza, there are 8 slice on each pizza
as such 4 pizzas will have 4*8=32