Answer:
The sum of 2.234 and 0.01 is 2.244.
Step-by-step explanation:
The 0.01 is in the hundredths place, so just add 1 to the number in the hundredths place of 2.234, to make it 2.244.
Devante invests $4000 in two different accounts. The first account paid 6 %, the second account paid 11 % in interest. At the end of the first year he had earned $320 in interest. How much was in each account?
$
at 6 %
$
at 11 %
Answer:
Let x represent the amount of $ in the 4% account and y in the 2% account.
Then x + y = $4000 (total savings).
Interest at 4% would be x*0.04*1 = 0.04x, and
Interest at 2% would be y*0.02*1 = 0.02y.
Then 0.04x + 0.02y = $140 interest, total.
We must solve this system of linear equations.
Mult. 0.04x + 0.02y = $140 by 100 to remove the fractions:
4x + 2y = $14000 We already know that x + y = $4000, so y = $4000-x.
Then 4x + 2y = $14000 becomes 4x + 2($4000-X) = $56000.
Simplifying, 4x + $8000 - 2x = 14000.
2x = $6000
x = $3000 at 4%
y = $1000 at 2%
i hope it helps :)
Step-by-step explanation:
You would like to make a nutritious meal of eggs, edamame, and elbow macaroni. The meal should provide at least 40 g of carbohydrates, at least 20 g of protein, and no more than 50 g of fat. An egg (one serving) contains 2 g of carbohydrates, 17 g of protein, and 14 g of fat. A serving of edamame contains 12 g of carbohydrates, 12 g of protein, and 6 g of fat. A serving of elbow macaroni contains 43 g of carbohydrates, 8 g of protein, and 1 g of fat. An egg costs $2, a serving of edamame costs $5, and a serving of elbow macaroni costs $3. Formulate a linear optimization model that could be used to determine the number of servings of egg, edamame, and elbow macaroni that should be in the meal in order to meet the nutrition requirements at minimal cost. (You don’t need to find the optimal solution to the model you formulate) ======== In your response please - define decision variables with NUN (Name, Unit, Notation) (e.g. Let E be the number of eggs in the meal) Then provide the mathematical model for the LP problem. - objective function - constraints
Answer:
2x + 12y + 43 ≥ 40
17x + 12y + 8z ≥ 20
14x + 6y + z ≤ 50
x ≥ 0
y ≥ 0
z ≥ 0
Step-by-step explanation:
given:
Cost Eggs = $2
Cost of edema = $5
cost of elbow Macaroni = $3
Lets eggs = x,
edamame = y
elbow macaroni = z
TC = 2x+5y+3z
Therefore;
2x + 12y + 43 ≥ 40
17x + 12y + 8z ≥ 20
14x + 6y + z ≤ 50
x ≥ 0
y ≥ 0
z ≥ 0
the first objective is to make sure the total cost is subject to the required nutritional requirements.
So the total cost function (TC) is denoted by the number of servings multiplied for each costs. Eggs cost $2, edamame $5, and macaroni $3.
The problem subjects that each meal contains at least 40g of carbohydrates (this is the condition).
to get this we need to add what each meal component adds to the total, eggs add 2g of carbs, edamame 12g, and macaroni 43g.
Same should be done for protein, we require at least 20 grams of protein, Eggs add 17g, edamame adds 12g, and macaroni adds 8g.
and lastly we don't want more than 50 grams of fat, Eggs add 14g, edamame add 6g and macaroni 1g.
Rename 8 thousand 6 hundred
Answer:
8,600 should be the answer.
You and your friends are in charge of a fundraising dinner. It costs $120 for all the food and supplies. You
plan to charge $8.00 per ticket. You would like to have a profit of at least $600. Your friend said if you sell
75 tickets, you will reach your profit goal. Tell whether your friend is correct or not. Explain your answer in
sentences and then write and solve the inequality that represenst the number of tickets that you need to
sell.
Posted Fri Oct 9, 2020 at 12:26 pm
Answer:
$8.00 per ticket. You would like to have a profit of at least $600.
Step-by-step explanation:
$8.00 per ticket. You would like to have a profit of at least $600.
Answer:
your friend is not correct. You need to sell 90 tickets
Step-by-step explanation:
75 tickets X 8 = 600 ( remember you need 120 extra to pay supplies cost, so you need to sell 90 tickets and the costs is $ 8 per tickets)
let's say now.
90 tickets X 8 = 720.
720- 120= 600
what is 1.2983 rounded to the nearest tenth
Answer:
1.3
Step-by-step explanation:
It round up
Answer:
1.3
Step-by-step explanation:
Multiply. Write the answer in simplest form.
5/6 x 2/9
Answer:
5/27
Step-by-step explanation:
A, B, C, or D???? Please help! Thank you!
Answer:
Step-by-step explanation:
either the c or d
Help, only right answers get brainliest.
Answer:
slope= 1.5 or 3/2
Answer:
1.5 or 3/2
Step-by-step explanation:
First point: (-1, 2)
Second point: (1, 5)
Using the formula for slope, (5-2)/(1+1) = 3/2
3. Kasey Marsenburg is a financial consultant for ABC Finance.
She eams $748.00 weekly. Her annual group medical coverage
costs $9.560, of which ABC Finance pays 65%. How much is
deducted weekly from her paycheck for medical coverage?
Answer:
Step-by-step explanation:
100-65=35%
help I have no clue what this is
Answer:1/20
Step-by-step explanation:mark me as brainliest
There are 100 students enrolled in our school. 3/5 of the students are boys. How many students are girls?
Answer:
2/5 are girls so 40
Step-by-step explanation:
100 divided by 5 is 20.
BOYS: 20 x 3= 60
GIRLS: 20 x 2= 40
60+40=100
Hope this helps (:
HELP ME PLS
Which of these figures has rotational symmetry?
Answer:
A
Step-by-step explanation:
When you rotate the shape it will be the same as it was before .
please help my daughter with this
Answer:
Recordings of their music.
Step-by-step explanation:
This is because there was no way to record music.
Help!!! Please please I don’t know this at all
Answer:
X+y=180, Y=Z, X+Z=180
Step-by-step explanation:
Hope this helps, i remember doing this lesson.
Answer: the two answers that contain 180
Step-by-step explanation:
A horse at rest takes 60 breaths every 5 minutes. At this rate,
in how many minutes would the horse take 300 breaths?
Jacob rides his bike 4 miles in 15 minutes. The ratio of miles to minutes is 4 to 15. How many minutes would it take Jacob to ride his bike 12 miles.
Answer:
180 minutes
Step-by-step explanation:
In the election for class president, John received 25 votes, and Luke received 10 votes. Express the relationship of John's votes to Luke's votes as a reduced ratio.
Answer
5:2 5/2 5 to 2
Step-by-step explanation:
GCF of 25 and 10 is 5.
25/5 = 5 | 10/5 = 2
you can express ratios with a colon symbol, "to", or a fraction.
Since it's John to Luke it should be the answer above.
what is the range of y= square root of x+5
Answer:
Range: [5,∞),{y|y≥5}
Step-by-step explanation:
Set the radicand in √x greater than or equal to 0 to find where the expression is defined.
x≥0
the domain is all values of X that make the expression defined.
Interval Notation:
[0,∞)
Set-Builder Notation:
{x|x≥0}
The range of an even indexed radical starts at its starting point (0,5) and extends to infinity.
Interval Notation:
[5,∞)
Set-Builder Notation:
{y|y≥5}
Determine the domain and range.
Domain: [0,∞),{x|x≥0}
Range: [5,∞),{y|y≥5}
I hope this helps you. Sorry if it doesn’t!!!!
The sum of three consecutive odd numbers is 39. What is the largest of
the three numbers?
Answer:
e three integers are 11 , 13 , and 15
Step-by-step explanation:
Answer: 10
Step-by-step explanation:
An odd number is 2n+1 followed by 2n +3 and 2n+5
2n+1+2n+3+2n+5=39
6n+9=39
6n=30
n=5
5+5=10
Can anyone solve this please ?
Write another ratio that’s is equilevent too.4:6 and how do u know that your new ratio is equivelant too 4:6
Answer:
8:12
Step-by-step explanation:
Another ratio that is equivalent to 4:6 would be 8:12;
To find another ratio equivalent to another, simply find the multiples of the numbers that make up the ratio.
Using 2 as multiplier;
2 ( 4 : 6) = 8 : 12
I am sure of this because when we reduce both ratio to their lowest term, we get the same value;
4: 6 8: 12
divide by 2 divide by 4
2: 3 2 : 3
The maximum speed of a greyhound is 153 miles per hour less than 3 times the maximum speed of a cheetah. Ifa greyhound's maximum speed is 42 miles per hour, what is the maximum speed of a cheetah? Check to make sure your answer is reasonable.
cheetahs can go to 0 to 60 mile per hou in just 3.4 seconds and reach a top speed of 70 miles per hour.while they are the fastest land animal in the world,they can only maintain thier speed for only 20 to 30 seconds
cheetah has a speed of 109.4 km/h (69.o mph) and 120.7 km/h(75.0 mph)
maximum speed is 80 to 130 km/h
NBA young boy to my lowest - you hurt me deep when I was down on my lowest I needed you ain’t gaf bout me growing
Answer:
The answer is 1/6
Step-by-step explanation:
This is the answer due to the fact that a dice has 6 sides meaning there is a 1 in 6 chance of rolling the different numbers
Answer:
[tex]the \: proberbility \: is \: \frac{2}{6} = \frac{1}{3} [/tex]
Annabel wants to buy a $50.00 jacket that is marked 30% off. What is the final cost of the jacket (after the discount)?
Question 1 options:
$15.00
$35.00
No Solution
$65.00
Answer:
$ 35.00
Step-by-step explanation:
50.00 ÷ 10 = 5.00 (10%)
5.00 x 3 = 15.00 ( 30%)
50 - 15 = 35.
Sorry I couldn't explain more, But I hope this helps!
Evaluate and reduce:
-
- 1+ ( 12 )
Enter the number that belongs in the
green box.
? ]
Answer:
Step-by-step explanation:
Taking LCM, =48
[tex]\frac{-12}{16}[/tex]× [tex]\frac{3}{3}[/tex] + [tex]\frac{11}{12}[/tex]×[tex]\frac{4}{4}[/tex]
=[tex]\frac{-36+44}{48}[/tex]
=8/48
=1/6
Which of these is NOT an example of a property tax?
F) Tax paid on the value of a farm a person owns
G) Tax paid on the value of a piece of land a person owns
H) Tax paid on the value of a piece of furniture a person owns
J) Tax paid on the value of a home a person owns
Answer:
H i think
Step-by-step explanation:
Answer:
H
Step-by-step explanation:
HOPE THIS HELPS
A and b are complementary angles, a measures 44, what is the measure of b?
Flourine (F), chlorine (Cl), bromine (Br), and iodine (I) are all well-known halogens. These halogens are all on the seventh column of the periodic table. Why are these halogens apart of the same group?
1.They have the same number of atomic orbitals.
2.They have seven electrons in the outer shell.
3.They have the same atomic number.
4.They are the same size.
Answer:
2
Step-by-step explanation:
Marcella bought 3 packages of balloons and 4 packages of favors for $14.63.
Rupert bought 2 packages of balloons and 5 packages of favors for $16.03. Find
the price of a package of balloons.
Answer:
$1.29 for balloons
Step-by-step explanation:
3b + 4f = 14.63
2b + 5f = 16.03
2b = 16.03 - 5f
b = (16.03/2) - 5/2f
3b + 4f = 14.63
3[(16.03/2) - 5/2f] + 4f = 14.63
48.09/2 - 15/2f + 4f = 14.63
24.045 - 15/2f + 8/2f = 14.63
24.045 - 7/2f = 14.63
-7/2f = -9.415
-3.5f = -9.415
f = 2.69 = $2.69 for favors
2b + 5(2.69) = 16.03
2b + 13.45 = 16.03
2b = 2.58
b = 1.29 = $1.29 for balloons
What is the angle relationship?