Answer:
02a+.03b+.04c=126,
b=a+500,
c=3b
a=300., b=800., c=2400.
Step-by-step explanation:
The amount of each rate of interest given the total simple interest received is
$400, $900 and $2,700 respectively
let
a = 2% investment
= 0.02
b = 3% investment
= 0.03
c = 4% investment
= 0.04
Total interest = (0.02×a) + (0.03×b) + (0.04×c)
143 = 0.02a + 0.03b + 0.04c (1)
b = a + 500 (2)
c = 3b (3)
substitute (3) into (1)
143 = 0.02a + 0.03b + 0.04(3b)
143 = 0.02a + 0.03b + 0.12b
0.02a + 0.15b = 143 (4)
from (2)
b - a = 500 (5)
multiply (5) by 0.02
0.02b - 0.02a = 10
0.02a + 0.15b = 143 (4)
Add
0.02b + 0.15b = 10 + 143
0.17b = 153
b = 900
substitute b into (3)
c = 3b (3)
c = 3(900)
c = 2700
Recall,
b = a + 500 (2)
900 = a + 500
900 - 500 = a
a = 400
Therefore, the amount of each rate of interest given the total simple interest received is $400, $900 and $2,700 respectively
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abby has 10 apples, she gives away 5 how many does she have left
Answer:
5 apples
Step-by-step explanation:
brainliest?
5 Apples Are Left
Step-by-step explanation:Simply subtract the initial total and the apples given away.
10 - 5 = 5 left
Solve for x if 2(5x+2)2=48
Answer:
x =(-4-√96)/10=(-2-2√ 6 )/5= -1.380
x =(-4+√96)/10=(-2+2√ 6 )/5= 0.580
Step-by-step explanation:
Answer: cccccccccccccc
Step-by-step explanation: <3
The temperature was very cold then it dropped 10 degrees and then it increased 40 degrees the temperature is now 16 degrees. What is the starting temperature?
Answer:
The initial temperature was To = -14 degrees
Step-by-step explanation:
Solution:-
- We will take the starting temperature to be = Ti
- The final temperature, Tc = 16 degrees
- We are given that there is a drop of 10 degrees from initial temperature To. We can mathematically express this as:
To - 10
- Then there is a rise of 40 degrees after the drop of 10 degrees. The mathematical expression would be:
To - 10 + 40
- The current temperature is Tc. We can equate the expression developed to final temperature:
To - 10 + 40 = Tc
- Solve for To:
To = 16 - 40 + 10
To = -14 degrees
Answer:
-14 degrees
Step-by-step explanation:
In this question, we are asked to calculate the starting temperature if we know what the temperature is now and the kind of temperature change that has happened.
Now, since we do not know the initial temperature , let’s call it x
from the question, it dropped by 10 and increased by 40 and finally with a temperature of 16.
mathematically
x-10+40= 16
x+30 = 16
x = 16-30
x = -14
Suzi bought 5 packages of M&M's, and each package contained 18 candy pieces. She opened the first package and counted 4 green pieces. She then counted 3 green pieces in the second package. Which statement about the candy pieces in the remaining packages is best supported by this information? A. There are fewer than 14 green pieces in all 5 packages. B. There are between 15 and 20 green pieces in all 5 packages. C. There are at least 25 green pieces but no more than 50 in all 5 packages. D. There are more than 50 green pieces in all 5 packages.
Answer: The correct answer is option B: There are between 15 and 20 green pieces in all 5 packages
Step-by-step explanation: The most important factor has been given which is, "Which statement about the candy pieces in the remaining packages is best supported by this information."
The information given is such that, the first package she opened had 4 green pieces and on this basis we can safely assume that all other packages have 4 green pieces as well. The second package had 3 green pieces and this based on this too we can safely assume that all other packages had 3 green pieces. Hence, all 5 packages can either have a total of 4 x 5 green candies which equals a total of 20 green pieces or, all 5 packages can have a total of 3 x 5 green candies which equals a total of 15 green pieces.
So according to Suzi's experiment, there are between 15 and 20 green pieces in all 5 packages.
Jerry buys three jeans at $39.98 each the sales tax on clothes is a punch to 5% what is the total cost of the sale?
Answer: $43.28
Step-by-step explanation: To find the sales tax, first convert 8.25% to a decimal. 8.25% as a decimal is 0.0825.
Now simply multiply 0.0825 x 39.98 which equals about 3.30
So, the total sales tax is $3.30
Now add $3.30 to $39.98 which equals a total cost of $43.28
How many centimeters are in 2.37 meters???
Answer:
237 centimeters
Step-by-step explanation:
A foot = 30 centimeters
We know 1 meter or 1m is equivalent to around 3 feet. The exact measurement of a meter is 3.28 feet. So 1m = 100 centimeters because one foot equals 30 centimeters. .28 of a foot is 10 cm.
2 meter = 200 cm
.37 = 37 centimeters because each 0.01 in a meter = 1 cm. And there are 100 cm in a meter so we can accurately say 2.37 meters are 237 cm.
P.S
Have an Amazing Day! I Hope This Helps and Good Luck!
-Faker/Tosrel
Which statement is true of triangles QRS and MNP?
Jackie made 12 quarts of lemonade. Jackie says she made 6 pints of lemonade. Complete the explanation of Jackie's error. Then find the correct number of pints of lemonade. Jackie divided the number of quarts by 2. There are pints in each quart. She should have 2; so Jackie made pints of lemonade.
Answer:
Jackie is incorrect. Since 2 pints equal 1 quart, she would need to multiply 12 by 2 to get the correct answer of 24 pints.
Giselle works as a carpenter
How do you get area from a triangle
Answer:
1/2 bh
Step-by-step explanation:
Multiply the base by the height then multiply by 1/2, or divide by 2
Answer:
A=hbb
2
Step-by-step explanation:
QUESTIONING STRATEGIES
If a cone shares a base with a cylinder, and the
volume of the cylinder is given, along with the
heights of the cylinder and of the cone, how could
you find the volume of the cone?
Answer:
cone volume = cylinder volume times 1/3 the ratio of cone height to cylinder height
Step-by-step explanation:
Let h1 and V1 represent the height and volume of the cylinder, and h2 and V2 the height and volume of the cone.
We are told they have a common base area (B), so ...
V1 = Bh1 ⇒ B = V1/h1
V2 = (1/3)Bh2 = (1/3)(V1/h1)h2
The volume of the cone is ...
V2 = h2/(3h1)×V1
"one-third the ratio of cone height to cylinder height, multiplied by the cylinder volume."
To multiply two fractions, multiply the numerator by the
Answer:
Other numerator.
Answer:
multipy the numerator by the other numerator
Narancia out~!
3. POPULATION The population of Ghostown, USA is decreasing at a rate of
3 people per year. If there are currently 831 people living in the town,
when will the town be deserted?
What is the value of a?
Answer:
a = 13
Step-by-step explanation:
The three angles of any triangle MUST add up to 180°. Thus, 3a + 8a + 37 = 180, and 11a = 180 - 37 = 143.
If 11a = 143, then a = 143/11 = 13
a = 13
Answer:
a = 13
Step-by-step explanation:
8a + 3a + 37° = 180°
11a + 37° = 180°
11a = 180° - 37°
11a = 143°
a = 143/11
a = 13
Find the number of strings of six lowercase letters from the English alphabet, which satisfies the given conditions. Six lowercase letters contain the letters a and b in consecutive positions with a preceding b, with all the letters distinct.
Answer:
The answer is 1,275,120
Step-by-step explanation:
The goal of this is to determine the number of strings of strings of six lowercase letters from the English alphabet that contain the letters a and b in positions consecutive with a preceding b, with all the letters distinct.
Now,
As the letters a and b are consecutive, the possible string outcomes are in this form:
ab_ _ _ _
_ab_ _ _
_ _ab_ _
_ _ _ ab_
_ _ _ _ ab
As seen here, ab can denoted in five locations as in C (5, 1) = 5 ways
we use the permutation for the order of the letters to be needed.
so,
n= 24, r =4
p (24, 4) = 24ǃ /( 24 - 4)ǃ
= 24ǃ /20ǃ
=255,024
Now, the number of possible strings is 5* 255.024 = 1,275,120.
In conclusion there are 1,275,120 number of strings of six lowercase letters from the English alphabet contain the letters a and b in consecutive positions with a preceding b, with all the letters distinct.
At the U.S. Open Tennis Championship, a statistician keeps track of every serve that a player hits during the tournament. The statistician reported that the mean serve speed of a particular player was 100 miles per hour (mph) and the standard deviation of the serve speeds was 10 mph.
Using the z-score approach for detecting outliers, which of the following serve speeds would represent outliers in the distribution of the player's serve speeds?
Speeds: 65 mph, 110 mph, and 120 mph.
Answer:
The speed of 65 mph is an outlier in the distribution of the player's serve speeds
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 100 mph
Standard Deviation, σ = 10 mph
Formula:
[tex]z_{score} = \displaystyle\frac{x-\mu}{\sigma}[/tex]
Outlier on basis of z-score:
Any z-score greater than 3 or less than -3 is considered to be an outlier. This rule of thumb is based on the empirical rule.Calculation of z-score:
[tex]x = 65\Rightarrow z = \dfrac{65-100}{10} = -3.5\\\\x = 110\Rightarrow z = \dfrac{110-100}{10} = 1\\\\x = 120\Rightarrow z = \dfrac{120-100}{10} = 2[/tex]
Thus, the speed of 65 mph is an outlier in the distribution of the player's serve speeds as the corresponding z-score is less than -3.
What is 1.8-(-3.25)
Answer: [tex]5.05[/tex]
Flip
Keep: 1.8
Change: - into +
Change: -3.25 into 3.25
Your new problem
[tex]1.8+3.25[/tex]
Add
[tex]1.8+3.25=5.05[/tex]
The expression 1.8 minus negative 3.25 simplifies to 1.8 plus 3.25, which equals 5.05.
The question asks you to calculate the result of the expression 1.8 minus negative 3.25. When you have a minus sign followed by a negative sign, they cancel each other out and it becomes an addition problem. Therefore, the expression simplifies to 1.8 + 3.25.
To calculate this, you add the two numbers:
1.8+3.25Adding these numbers together gives you 5.05. So, 1.8 - (-3.25) equals 5.05.
i need the steps for 26
Answer:
K = 51
Step-by-step explanation:
Since the triangles are similar, the angles are the same measure.
<K = <F
We can find angle F since the angles of a triangle add to 180
D + G + F = 180
59+70 +F = 180
Combine like terms
129+F = 180
Subtract 129 from each side
129-129+F = 180-129
F = 51
K = F = 51
Answer:
51°
Step-by-step explanation:
Angle K corresponds to Angle F
Angle F = 180 - 70 - 59
Angle F = 51°
Graph the integer 6 and its opposite on the number line. Graph the integer 0 and its opposite on the number line.
Graph the integer 6 and its opposite
Plot -6 and 6 <- the opposite of 6 is -6
Graph the integer 0 and its opposite on the number line
0 and 0 <- The opposite of 0 is itself as it has no negative value
Step-by-step explanation:
Graph the integers between 2 and 6 on a number line
Joan, Kylie and Lillian all celebrate their birthdays today. Joan is 2 years younger than Kylie, and Kylie is 3 years older than Lillian. Which of the following could be the combined age of all three birthday celebrants today?A. 51
B. 52
C. 53
D. 54
E. 55
Answer: Option 'B' and 'D' are correct.
Step-by-step explanation:
Since we have given that
Let the age of Lilian be 'x'
Let the age of Kylie be 'x+3'.
Let the age of Joan be 'x+3-2=x+1'.
So, According to question, we get :
Total sum of all three birthday celebrants today would be
[tex]x+x+3+x+1=3x+4[/tex]
If we put 52, we get that
[tex]3x+4=52\\\\3x=52-4\\\\3x=48\\\\x=\dfrac{48}{3}=16[/tex]
If we put 55, we get that
[tex]3x+4=55\\\\3x=55-4\\\\3x=51\\\\x=\dfrac{51}{3}\\\\x=17[/tex]
Hence, Option 'B' and 'D' are correct.
Using algebra, we express each person's age in variables, create a relationship between them, and find that the only option that can represent their combined age as a sum of 3L + 4 is 52. Therefore, option B is the correct answer.
To solve this problem, we can begin by assigning variables to each person's age and then creating equations based on the information provided. Let's let the variable L represent Lillian's age, K represent Kylie's age, and J represent Joan's age.
From the problem, we know that:
Joan is 2 years younger than Kylie: J = K - 2
Kylie is 3 years older than Lillian: K = L + 3
Now, using the second equation, we can express Joan's age in terms of Lillian's:
Substitute the value of K from the second equation into the first: J = (L + 3) - 2
This simplifies to: J = L + 1
Now we can express the combined age of Joan, Kylie, and Lillian:
Combined age: J + K + L
Substitute J and K with the expressions in terms of L: (L + 1) + (L + 3) + L
Add them: 3L + 4
Now, we have to check which option is divisible by 3 when 4 is subtracted from it because the combined age should be in the form 3L + 4. Among the options given:
A. 51 - 4 = 47 (Not divisible by 3)
B. 52 - 4 = 48 (Divisible by 3)
C. 53 - 4 = 49 (Not divisible by 3)
D. 54 - 4 = 50 (Not divisible by 3)
E. 55 - 4 = 51 (Not divisible by 3)
The correct answer is option B, which makes the combined age of Joan, Kylie, and Lillian equal to 52 years.
A laundry detergent is sold at four stores.
Size (ounces)
60
54
48
40
Store
Hawkin's Store
Don's Store
Allen's Market
Value Market
Price
$6.50
$5.50
$5.61
$4.50
Which store has the lowest price per ounce?
Hawkin's Store
Answer:
Hawkins's Store = 60 ounces for 6.50
Don's Store = 54 ounces for 5.50
Allen's Market = 48 ounces for 5.61
Value Market = 40 ounces for 4.50
6.50/60=.10833333
5.50/54=.10185 smallest decimal
5.61/48 = .116875
4.50/40=.1125
Step-by-step explanation:
the answer is Don's Store
hope this helps(:
The store Don's has the lowest price per ounce is $0.10.
What is the unit rate?Unit rate can be defined as the ratio between two measurements with the second term as 1. It is considered to be different from a rate, in which a certain number of units of the first quantity is compared to one unit of the second quantity.
Here,
In Hawkin's Store:
The cost of 1 ounce is 6.50/60
= $0.11
In Don's Store:
The cost of 1 ounce is 5.50/54
= $0.10
In Allen's Market
The cost of 1 ounce is 5.61/48
= $0.12
In Value Market:
The cost of 1 ounce is 4.50/40
= $0.1125
Therefore, the store Don's has the lowest price per ounce is $0.10.
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Growth of Bacteria The growth rate of Escherichia coli, a common bacterium found in the human intestine, is proportional to its size. Under ideal laboratory conditions, when this bacterium is grown in a nutrient broth medium, the number of cells in a culture doubles approximately every 30 min. (a) If the initial population is 100, determine the function Q(t) that expresses the growth of the number of cells of this bacterium as a function of time t (in minutes).
Answer:
[tex]Q(t) =[/tex] [tex]100(2)^t[/tex]
Step-by-step explanation:
please see the attached files for more details
Please answer the question in the picture
Answer:G
Step-by-step explanation:I HAVE NO IDEA
What is the area of the following figure?
Answer:
69
Step-by-step explanation:
Sorry if its wrong, couldn't read it well
Answer:
The answer is 69cm²
It is kinda hard to see the numbers in the pic, but I hope this was the answer you were looking for!! :)
Calculate the following, giving your answer as a fraction in its simplest form:
5/4 x 2/15
Answer:
1/6
Step-by-step explanation:
[tex]\frac{5}{4} x\frac{2}{15}[/tex] multiply the top number and the bottom to get [tex]\frac{10}{60} = \frac{1}{6}[/tex]
Someone!!! Please help!!!!!!!!!!
answer. 137.5 degrees
Step-by-step explanation: 135+140=275/2=137.5
I need help with this I don’t understand what it’s asking.
Answer:
20
Step-by-step explanation:
Because it is a square table, that means all the sides are even. And to find the area, we do Height * Base. But again, because they're even, we would just need to find 2 numbers that multiply to be 400. And that number, is 20. 20 * 20 = 400. So the length of one side is 20.
What numbers would be needed to complete another bottom row in the pyramid below? I need help fast!
Answer:
Step-by-step explanation:
the second option
together preston and horatio have 49 video games. horatio has 11 more then preston. how much does each person have
each person has about 19 each
all you have to do is 49-2=38
38 divided by 2 = 19
Horatio has 30 video games and Preston has 19
Step-by-step explanation:Set up an equation:
x = Games horatio has
Since theres two people we will give x the coefficient of 2
You get 11 from how much more horatio has
49 is the total
The Equation
49 = 2x + 11
Solve
49 = 2x + 11
-11 - 11
38 = 2x
19 = x
Preston has 19 video games and since horatio has 11 more horatio has 30 video games
Steve reaches into a bag with 5 red marbles, 3 yellow marbles, and 2 green marbles, and randomly selects one. Then, he puts the marble back, and Sam reaches into the same bag and randomly selects a marble. What is the probability that both guys selected a yellow marble.
You have to answer correctly to recieve all 50 points
5 + 3 + 2 = 10 total marbles.
Steve picking a yellow one would be 3/10 (3 yellow / 10 total)
The marble is put back, so there will still be 7 marbles in the bag.
Sam picking a yellow one would then be the same as Steve: 3/10
The probability of them both picking yellow would be 3/10 x 3/10 = 9/100
Answer:
0.09
Step-by-step explanation:
Total: 5+3+2 = 10
3/10 × 3/10
9/100
0.09