Answer:
44/2 = ?/22
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Simplify: −2(5) + 2 =
Answer:
-8
Step-by-step explanation:
-2(5) + 2
-10 + 2
-8
It took Sebastian 10 years to repay a loan of $30,000, paying $296.66 per month. Jana paid off a loan for the same amount at the same interest rate in 5 years by paying $545.75 per month. How much more did Sebastian pay in interest than Jana?
Answer:
$2,854.2
Step-by-step explanation:
For Sebastian
It took Sebastian 10 years to repay a loan of $30,000, paying $296.66 per month.
1 year = 12 months
10 years = x
Cross Multiply
x = 10 × 12 = 120 months
He pays $296.66 monthly
Hence, the total amount he paid in 10 years =
$296.66 × 120
= $35,599.2
The loan he took was $30,000.
Hence, the interest Sebastian paid on his loan = $35,599.2 - $30,000
= $5,599.2
For Jana
Jana paid off a loan for the same
amount at the same interest rate in 5 years by paying $545.75 per month.
1 year = 12 months
5 years = x
Cross Multiply
x = 10 × 5 = 60 months
He pays $545.75 monthly
Hence, the total amount he paid in 5 years =
$545.75 × 60
= $32,745
The loan she took was $30,000.
Hence, the interest Sebastian paid on his loan = $32,745 - $30,000
= $2,745
How much more did Sebastian pay in interest than Jana?
This is calculated as:
The interest Sebastian paid - The Interest Jana paid
= $5,599.2 - $2,745
= $2,854.2
Therefore, Sebastian paid $2,854.2 more than Jana
What is the LCM of 2 and 8
Answer:
its 8
Step-by-step explanation:
Answer:
nmbjhsnn,dnn,nmmmmmmmdndmnnmdnmdndmdndm smh
Step-by-step explanation:
Elevator 1 in a building moved from ground position to a final position of +13 feet. Elevator 2 in the same building moved from ground to a final position of −10 feet. Which statement best describes the final positions of these two elevators?
Answer:
Elevator 1: (0, 0) to (0, 13)
Elevator 2: (0, 0) to (0, -10)
Vertically, the two elevators are now 23 feet apart.
Step-by-step explanation:
I just used the coordinate plane for this. Did it help?
The speed limit sign on the freeway said 110 kilometers per hour, but the speedometer on Cesar's car is calibrated in miles per hour. How fast should Cesar drive his car to avoid a speeding ticket if 1 kilometer is about 0.62 miles?
Answer:
68.2 miles per hour
Step-by-step explanation:
Speed limit = 110 kilometers per hour
1 kilometer = 0.62 miles
110 kilometers = x miles
Cross product
1*x = 0.62*110
x = 68.2 miles
Cesar should drive at 68.2 miles per hour to avoid a speeding ticket
110 kilometers per hour = 68.2 miles per hour
Solve the following quadratic equation by rearranging and then factorising x^2 + 3x - 15 = 2x - 13
Step-by-step explanation:
x² + 3x - 15 = 2x - 13
x² + x - 2 = 0
(x + 2)(x - 1) = 0
By zero product rule, (x + 2) = 0 or (x - 1) = 0.
Hence x = -2 or x = 1.
Answer:
x = -2 & x = 1
Step-by-step explanation:
x^2 + 3x - 15 = 2x - 13 so you takeaway 2x and add 13 to the other side to get x^2 + x - 2 = 0
(x+2)(x-1) = 0 find factors of -2 that get you x
(x+2) = 0 so x = -2 (x-1) = 0 so x = 1
1. When the point is reflected over x-axis, what will
the new coordinates of the new point be?
Answer:
(x , y) ----> (-x , y)
Step-by-step explanation:
(x , y) ----> (-x , y)
Example for 1. :
(-4,2) ---> (4,2)
When we're talking about a
chemical equation, what do we
mean when we say products and
reactants?
Answer:
The reactantsare the what is used to solve for the products.
Step-by-step explanation:
For example if you the chemical equation C+Ph=CPh C and Ph are the reactants and CPh is the product.
How do you read the following rate "25 miles/hour"*
Answer:
you read it as 25 miles per hour
Manny wants to find ways to reduce his current debt. The table below shows Manny’s monthly income, expenses and net income.
Monthly Budget
Amount
Income
Wages
$3,000.00
Expenses
Rent
$1,200.00
Utilities
$269.34
Entertainment
$220.00
Food/Clothes
$368.00
Cell Phone
$89.42
Credit Card #1
$94.62
Credit Card #2
$36.18
Car Insurance
$80.00
Car Payment
$300.00
Gym Membership
$25.00
Net Income
$317.44
After evaluating Manny’s monthly budget, which of the following would be the best option to reduce his debt?
a.
Manny could spend less on entertainment each month and put the money towards a new cell phone.
b.
Manny could pay the minimum monthly payments on his credit cards and put the money towards his car payment.
c.
Manny could spend less on food and clothes and put the money towards his credit card payment.
d.
Manny could cut his utlility costs and put the money towards buying a new house.
Answer:
c. Manny could spend less on food and clothes and put the money towards his credit card payment.
Step-by-step explanation:
Edge 2021
Based on the information given, Manny can reduce his current debt by: C. Manny could spend less on food and clothes and put the money towards his credit card payment.
What is a credit card?A credit card refers to a small rectangular-shaped plastic card that is issued by a financial institution (banks) to its customers, which allows them to purchase goods and services on credit, especially based on the agreement that the amount of money taken would be paid later with an agreed upon interest rate.
How to calculate monthly payment.Mathematically, the monthly payment for a credit card is given by this formula:
[tex]M=P(\frac{r}{1-(1+r)^{-nt}} )[/tex]
Where:
P is the principal.r is the interest rate.M is the monthly payment.t is the time.n is the number of times it's compounded.In this scenario, Manny can reduce his current debt by spending less amount of money on both food and clothes while putting the money towards his credit card payment.
Read more on monthly payment here: https://brainly.com/question/2151013
Someone help me find the roots that this function have in common please
Answer:
B
Step-by-step explanation:
Please I need help
What is the perimeter of the parallelogram
PLEASE HELP ASAP!!!!!!!
Answer:
[tex]\frac{9}{16}[/tex]
Step-by-step explanation:
[tex]\frac{1 \frac{1}{2} * \frac{3}{4}}{2}=\frac{9}{16}[/tex]
HELP!!!Will Give Brainliest to correct answer!!! 40 POINTS!!!
Answer:
115
Step-by-step explanation:
The person above is right your ratio is the key to divide all the sizes.
A staffing agency for in-home nurses and support staff places necessary personnel at locations on a daily basis. Each placed nurse works 240 minutes per day at a daily rate of $90. Each support staff employee works 360 minutes per day at a daily rate of $120.
A. On a given day, 3000 total minutes are worked by then nurses and support staff that were placed. Write an equation that represents this relationship
B. On the same day, earnings for placed nurses and support staff totaled $1050. Write an equation that represents this relationship.
C. Solve the system of equations, and interpret the solution in the context of the situation.
solve this inequality for x: -46 -8x >22.
Answer:
Step-by-step explanation:
The key to answering this is to know that the only time you'll change the direction of the sign is when you multiply or divide by a negative number.
-46 - 8x > 22
-8x > 22 + 46
-8x > 68
x < 68/-8 (we divided by -8 so the inequality changed direction)
x < -17/2
Step-by-step explanation:
-46 - 8x > 22: Original problem
-46 - 8x + 46 > 22 + 46: Bringing all the constants to one side of the inequality
-8x > 68: Simplification
x < 68/-8 : You have to flip the inequality symbol because you are dividing by
a negative number..
x< -8.5 : The answer!!!!!
Checking your answer....
-46 - 8x > 22 : Original problem
-46 - 8(-8.5) > 22 : Substitution
-46 + 68 > 22 : Simplification
22 > 22 : Answer check successful!!!
(22 is not greater than 22 but we know that the answer cannot be -8.5 because the inequality states that x is less -8.5. This process was only for the purpose of checking not for the purpose of proving)
Hope this helps!!!!
What is the image point of (4,-7)(4,−7) after a translation right 4 units and up 5 units?
The new coordinate of point (4,−7) after a translation right 4 units and up 5 units is (8,-2).
What is the transformation of a graph?Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.
If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).
Given the point (4,-7)
If we transformed any point (x,y) to 4 units right then it will add in x so x + 4, and 5 units up then it will add in y so y + 5.
So,
4 units right → 4 + 4 = 8
5 units up → -7 + 5 = -2
So the new coordinate will be (8,-2)
Hence "The new coordinate of point (4,−7) after a translation right 4 units and up 5 units are (8,-2)".
To learn more about the transformation of graphs,
brainly.com/question/3099136
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help me with the question in the image please help me out :)
Step-by-step explanation:
(7 + x) / 3 = 2x - 5
7 + x = 3(2x - 5) (multiply 3 on both sides)
7 + x = 6x - 15 (distributive property)
5x = 22 (arrange like terms)
x = 4.4 (divide 5 on both sides)
The function g(x) is a transformation of the cube root parent function, f(x) = 3/x . What function is g(x) help
Me
The function g(x) is a transformation of the cube root parent function f(x) = ∛x will be g(x) = ∛(x - 4) - 3. Then the correct option is D.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function.
The function g(x) is a transformation of the cube root parent function that will be given below.
f(x) = ∛x.
If we subtract h in the variable of the function then the function shifts toward the left by h units.
And if we subtract k in the function then the function shifts downward by k units.
Then the function g(x) will be
g(x) = ∛(x - 4) - 3
Then the correct option is D.
More about the function link is given below.
https://brainly.com/question/5245372
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The temperature is -2 °C. If the temperature rises by 15 °C, what is the new temperature?
Answer:
The answer is 13°C because 15-2 gives you 13
Step-by-step explanation:
find the equation of the circle with center at (3 -2) and radius of 3.
Answer:
(x - 3)² + (y + 2)² = 9
General Formulas and Concepts:
Pre-Calculus
Equation of a Circle: (x - h)² + (y - k)² = r²
(h, k) is centerr is radiusStep-by-step explanation:
Step 1: Define
Center (3, -2)
h = 3k = -2Radius r = 3
Step 2: Write Equation
Substitute [EC]: (x - 3)² + (y + 2)² = 3²Exponents: (x - 3)² + (y + 2)² = 9A family eats at a restaurant. The bill is 42.
The family leaves a tip and spends 49.77 total.
How much money does the family tip?
How much is the tip as a percentage of the bill?
Consider the following 8 numbers, where one labelled x is unknown.
41, 13, 15, X, 46, 46, 23, 12
Given that the range of the numbers is 53,
Answer:
X = 65.
Step-by-step explanation:
The range is the greatest number - least, so we have:
X - 12 = 53
X = 53 + 12 = 65.
Answer:
I think x=65
Step-by-step explanation:
Hope this helped have an amazing day/month/year!
Solve: 32 = y + 12.4 y = _____
Answer:
ok the answer is 32=y+12.4y=12.32
Step-by-step explanation:
Answer:44.4
Step-by-step explanation: add 12.4 + 32
2(x-6)+3x+4=
Helpppppp.
Answer:
5x + (-8)
Step-by-step explanation:
2(x-6)+3x+4=
Distribute:
(2)(x)+(2)(−6)+3x+4
=2x+−12+3x+4
Combine Like Terms:
(2x+3x) + (-12+4)
= 5x+(-8)
Work out the size of angle x.
Answer:
13 degrees.
Step-by-step explanation:
First we calculate the other 2 angles of the triangle of which < x is a part.
The bottom angle = 85 (vertical angles are equal).
The top one = 180 - 98 = 82. ( corresponding and adjacent angles).
So angle x = 180 - (85 + 82).
= 180 - 167
= 13 degrees.
Which of the following is a point-slope equation for a line with the point
(-2, 4) and a slope of 3?
OA. y- 4 - 3(x+2)
OB. y+2 = 3(x- 4)
OC. y-2 - 3(x- 4)
OD. y- 4 - 3(x- 2)
Answer:
A. y - 4 = 3(x + 2)
Step-by-step explanation:
Point slope form is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line
Plug in the slope and given point:
y - y1 = m(x - x1)
y - 4 = 3(x + 2) is the equation
So, A is the correct answer.
Help me with this multiple choice question!
Answer:
B -4 A-7 C 0.5 D 2 E3 then F 11
Step-by-step explanation:
help please i hate math
(15 POINTS!!!) Solve 4 two-step equations:
1. 2x + 12 = 4
2. -5c + 9 = -16
3. -12 = -7 + x/4 (<-- x divided by 4)
4. -n/6 + 4 = 3