41. A
42. A
43. B
44. B
45. A
46. A
47. B
48. A
49. A
50. A
51. B
52. B
PLEASE HELP, WILL MARK BRAINLIEST
Mark owes $12,000 on two loans. The interest rate on the first loan is 8 and the interest rate on the second loan was 9%. The
total amount of interest he has paid in one year is $1,010. What was the principal for each loan?
Provide your answer below:
Answer:
principal of first loan = $7,000
principal of second loan = $5,000
Step-by-step explanation:
Let x = principal of first loan
Let y = principal of second loan
Given:
Interest rate on first loan = 8% = 0.08Interest rate on second loan = 9% = 0.09Total amount of interest paid = $1,010Create two equations with the given information:
Equation 1: x + y = 12000
Equation 2: 0.08x + 0.09y = 1010
Rewrite Equation 1:
⇒ x = 12000 - y
Substitute into Equation 2 and solve for y:
⇒ 0.08(12000 - y) + 0.09y = 1010
⇒ 960 - 0.08y + 0.09y = 1010
⇒ 0.01y = 50
⇒ y = 5000
Substitute found value of y into Equation 1 and solve for x:
⇒ x + 5000 = 12000
⇒ x = 7000
At a used book sale, 5 books cost $15.
1. What is the cost per book?
2. At this rate, how many books can you buy for 21$
Answer:
the cost per book is 3$. you can buy 7 books for 21$.
Step-by-step explanation:
15 divided by 5 is 3, so they cost 3 each. 21 divided by 3 is 7.
Determine whether a triangle can be formed with side lengths 8,11,5?
Answer:
Yes, a triangle can be formed
Step-by-step explanation:
Look
a=5
b=8
c=11
The rule is U need to add the 2 smallest sides
a+b>c
if a+b=c then this is not a triangle
Now look
5+8=13
13 is greater than 11
13>11 so this is a triangle
2 smallest sides are greater than biggest side
Answer:
HELLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOo
Step-by-step explanation:
In each diagram, line m is parallel to line n, and line t intersects lines m and n.
1149n669
98°125°m
829ve
Based on the diagrams, which statement is true? (8.8D, SS, RC3)
F The value of x is 125, because the two angles shown in each diagram are congruent.
G The value of x is 55, because the two angles shown in each diagram are supplementary.
The value of x is 90, because the two angles shown in each diagram are right angles.
y The value of x is 75, because the two angles shown in each diagram are complementary,
Answer:
The value of x is 55, because the two angles shown in each diagram are supplementary.
What is the point of intersection when the system of equations below is graphed on the coordinate plane?
(1, –3)
(–1, 3)
(1, 3)
(–1, –3)
The point of intersection is (–3.5, 0.5) when the system of equations below is graphed on the coordinate plane.
What is the equation?The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.
The system of equations below
-x + y = 4,
6x + y = -3
As per the given question, the required graph has been attached below.
The point of intersection when the system of equations is graphed on the coordinate plane is (–3.5, 0.5).
This is the point where the two lines cross each other.
Hence, the correct answer would be an option (D).
Learn more about the equations here:
brainly.com/question/10413253
#SPJ1
The question seems to be incomplete the correct question would be:
What is the point of intersection when the system of equations below is graphed on the coordinate plane? -x+y=4, 6x+y= -3
A. (1, –3)
B. (–1, 3)
C. (1, 3)
D. (–3.5, 0.5)
If m∠1 equals (4x + 2) and m∠3 equals (5x − 25), what is the value of x?
Step-by-step explanation: the answer is x = 1/2
The value of x is 27 units.
It is required to find the value of x.
What is angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle and corner whether constituting a projecting part or a partially enclosed space.
Given:
If m∠1 equals (4x + 2) and m∠3 equals (5x − 25),
According to given question we have,
m∠1 =m∠3
(4x + 2)=(5x − 25)
compare the like terms and simplify we get,
2+25=5x-4x
27=x
Therefore, the value of x is 27 units.
Learn more about angle here:
https://brainly.com/question/13954458
#SPJ2
Work out
m
and
c
for the line:
y
=
11
x
Answer: m=11
Step-by-step explanation:
Three balls toll at an intervals of
10 minutes, 15 minutes and 20 minutes.
If they toll together all 11:00am.
When next do they toll again?
Next all three balls toll after 60 minutes, that is 12:00 PM.
Given that, Three balls toll at an intervals of 10 minutes, 15 minutes and 20 minutes.
They toll together all 11:00 am.
Take LCM of three different intervals. That is,
10= 2×5
15=3×5
20=2×2×5
So, the LCM is 2×2×3×5= 60
Means all three balls toll after 60 minutes, which is 12:00 PM.
Therefore, next all three balls toll after 60 minutes, that is 12:00 PM.
Learn more about the least common multiple here:
https://brainly.com/question/11533141.
#SPJ1
To rent a saw that cuts tile, John’s Tool Store charges $20.00 per day, plus $0.10 per tile. Dylan’s Tool Store charges $25.00 per day to rent the saw, plus $0.05 per tile. A customer needs the saw for 3 days. How many tiles would a customer need to buy for the rental cost to be the same at both stores?
Answer:
$50.00
Step-by-step explanation:
I really need help! Brainliest awarded to correct answer
:))
Answer:
Can you be more specific on this question?
Step-by-step explanation:
Isaac goes to the Saturday market with $42 cash. He buys two posters that each cost SP. He leaves the market with $21 cash. What equation
represents this situation?
• 42-p-p=21
• 42/p=21
• 42-p+p=21
•21+42=2•P
The first equation that represents 42 - p -p= 21 is correct.
What is equation and there uses?
An equation is a mathematical statement that express the equality between two or more number of expressions. An equal sign is mandatory for equation. An equation is used to determine unknown values in terms of variables. In our everyday life equation is used by many professionals necessarily. By using equation many complicated problems can be easily solved within a limited time.
What equation represent the statements given in question?
Isaac has $42 cash in hand when arrived Saturday market.
He buys two posters that each cost selling price or SP.
when he leaved the market had $21 cash in hand.
assume, each poster has a price = p
The situation is represented by the following.
initial amount - cost for two posters = final amount
42 - p - p = 21
hence, the first equation that given in the question is correct.
To learn more about equation visit:
https://brainly.com/question/29144139
#SPJ1
help im failing this geomtery class
Answer: the answer is B
How: just trust me bro I got you
Isaiah takes 25 hour to treat 75 lawns with organic fertilizer at housing complex. the lawns in the complex are the same size. at this rate how many hours will it takes Isaiah to treat 9 lawns that are about the same size? complete the table.
Financial- One of the main differences between a Roth IRA and a traditional IRA is that:
A. You can withdraw money at different ages.
B. The amount you can contribute depends on your age.
C. A Roth IRA is offered by banks, while a traditional IRA is offered by an employer.
D. Contributions are taxed differently.
The difference between Roth IRA and a traditional IRA is that Contributions are taxed differently. That is option D.
What is Individual Retirement Account (IRA)?An Individual Retirement Account (IRA) is an account that has tax advantages which is used for financial saving for a long term.
In Roth IRA, taxes are being paid while the individual is still working.
In traditional IR, taxes are being paid after retirement.
Therefore, the difference between Roth IRA and a traditional IRA is that Contributions are taxed differently.
Learn more about tax here:
https://brainly.com/question/25783927
The main difference between a Roth IRA and a traditional IRA is that D. Contributions are taxed differently.
What is IRA?It should be noted that IRA simply means an individual retirement account. They're usually not taxed until retirement.
In this case, the main difference between a Roth IRA and a traditional IRA is that the contributions are taxed differently.
Therefore, the correct option is D.
Learn more about IRA on:
https://brainly.com/question/27445373
Which set of numbers represents the domain in the following graph?
Helppppppp
Answer:a
Step-by-step explanation:
Divide 14x3 − 21x2 − 7x by −7x.
A) −2x2 + 3x + 1
B) −2x2 + 3x − 1
C) −2x3 − 3x2 − x
D) −2x2 + 3x
Answer:
A
Step-by-step explanation:
simply divide each ter by -7x ..
can someone please help me on my math please
Answer:
The answer is 112
Step-by-step explanation:
Area= base + base divided by 2 times height.
So 12+16 divided by 2 times 8.
Please look at the pic and help!!
Answer:
4x² + 22x - 12
Step-by-step explanation:
A = bh/2
A = (4x - 2)(2x + 12)/2
A = (8x² + 48x - 4x - 24)/2
A = (8x² + 44x - 24)/2
A = 4x² + 22x - 12
1.11111 as a fraction
Answer:
Answer:
1.11111=111111100000
Showing the work
Rewrite the decimal number as a fraction with 1 in the denominator
1.11111=1.111111
Multiply to remove 5 decimal places. Here, you multiply top and bottom by 105 = 100000
1.111111×100000100000=111111100000
Simplify the improper fraction,
=111111100000
In conclusion,
1.11111=111111100000
Step-by-step explanation:
The fraction equivalent of the repeating decimal 1.11111 is 10/9. This means that 1.11111 is equivalent to 10/9, indicating a ratio of 10 parts to 9 parts. Simplifying the fraction ensures that it is in its simplest form with no common factors between the numerator and the denominator other than 1.
To express the decimal 1.11111 as a fraction, we can use algebraic manipulation. Let's denote the repeating decimal as x:
x = 1.11111...
To eliminate the repeating part, we can multiply x by 10:
10x = 11.11111...
Now, we can subtract the original equation from the multiplied equation to eliminate the repeating part:
10x - x = 11.11111... - 1.11111...
Simplifying the equation:
9x = 10
Dividing both sides by 9:
x = 10/9
Therefore, the fraction equivalent of the repeating decimal 1.11111 is 10/9. This means that 1.11111 is equivalent to 10/9, indicating a ratio of 10 parts to 9 parts. Simplifying the fraction ensures that it is in its simplest form with no common factors between the numerator and the denominator other than 1.
For more details of fraction equivalent of the repeating decimal:
https://brainly.com/question/19473335
#SPJ6
one banana contains 105 calories. what percent of a 2000-calorie diet is contained in one banana
More than 6% . I don't know exactly how much, but I know it's more than 6% . Hope that helps..
Which expression is equivalent to -3(2x - 8) + 4x?
Answer:
- 2x + 24
Step-by-step explanation:
- 3(2x - 8) + 4x ← distribute parenthesis by - 3
= - 6x + 24 + 4x ← collect like terms
= - 2x + 24 or 24 - 2x
Hey there!
-3(2x - 8) + 4x
DISTRIBUTE -3 within the parentheses
= -3(2x) - 3(-8) + 4x
= -6x + 24 + 4x
COMBINE the LIKE TERMS
= (-6x + 4x) + (24)
= -6x + 4x + 24
= -2x + 24
Therefore, your answer should be:
-2x + 24
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Find the coordinates of the vertex F(x)=xsquared-2x+1
(1, 0) is the coordinate of the vertex of the given quadratic expression
Vertex of a quadratic equationThe standard vertex form of a quadratic equation is given as:
f(x) = a(x-h)^2 + k
Given the quadratic equation below
x² - 2x + 1
The x-coordinate of the vertex is expressed as:
x = -b/2a
x = -(-2)/2(1)
x = 2/2
x = 1
Substitute x = 1 into the function
y = 1² - 2(1) + 1
y = 1 - 2 + 1
y = 0
Hence the coordinates of the vertex is (1, 0)
Learn more on vertex here; https://brainly.com/question/21191648
#SPJ1
Find the slope of the treadmill.
f(x)=-4x+1 Find the average rate of change from 2 to 5.
Answer:
- 4
Step-by-step explanation:
The slope of the line is the average rate of change of f(x)
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
f(x) = - 4x + 1 ← is in slope- intercept form
with m = - 4 ← average rate of change
A spinner has 8 equal-sized sections. Six of the sections are blue.
What is the probability that the spinner will land on blue?
Answer:
\(\frac{3}{4}\) or 75%
Step-by-step explanation:
There are 8 equal-sized sections, 6 being blue. 6/8 = 3/4 = 0.75 which is 75%. That is the probability that the spinner lands on blue.
JOSON Ortiz Budgeting Basics with Autumn Autumn is 22 years old and works as a checker at a local grocery store. Autumn lives in an apartment she shares with two other roommates. Autumn's take-home pay from her job is $1275.00 per month. Add this amount to her bank registry below. Here is a list of how Autumn will be budgeting her money this month. Move the expenses over to the bank registry and deduct them from the balance. Rent - $400.00 Utilities- $75.00 Cell Phone - $80.00 Subway Pass - $120.00 Groceries - $200.00 Work Clothes- $100.00 Entertainment $100.00 Savings $200.00 Transaction Paycheck Withdrawal Deposit Ending Balance Balance
Autumn's bank registry will be :
Transaction Amount Balance
Paycheck $1275.00 $1275.00
Rent $400.00 $875.00
Utilities $75.00 $800.00
Cell Phone $80.00 $720.00
Subway Pass $120.00 $600.00
Groceries $200.00 $400.00
Work Clothes $100.00 $300.00
Entertainment $100.00 $200.00
Savings $200.00 $0.00
How to explain the informationAs you can see, Autumn has $0.00 left over at the end of the month. This means that she is spending more money than she is earning. In order to create a budget that works for her, Autumn will need to find ways to cut back on her expenses. Some possible areas where she could cut back include:
Autumn could look for a cheaper apartment or move in with more roommates. Autumn could turn off lights and appliances when she's not using them and seal up any cracks or holes in her apartment to keep the heat in during the winter and the cool air in during the summer.
By cutting back on her expenses, Autumn can create a budget that works for her and save money for the future.
Learn more about transactions on
https://brainly.com/question/1016861
#SPJ1
Hey mathematicians ! Can anyone help me with these problems please ! Will give brainly !
Answer:
89) no 90) yes 91) yes 92) yes 93) yes
Step-by-step explanation:
use theorem of Triangle Inequality !! "the sum of two sides of a triangle must be greater than the third side" :)
A student buys batteries online. The batteries are sold in boxes of 24. Each order has a $5.00 shipping cost regardless of the number of batteries. The table shows the total cost for an order of different numbers of batteries. What is the total cost of an order of 144 batteries?
Answer:
You didnt give the chart so there for I can not give you a good answer
Step-by-step explanation:
use Product sue
solve
to
5x sino
23
tana
Step-by-step explanation: You dumb b*** I loved you i loved you iloved you its true. I wanted to be you and do what you
Find the equation of the horizontal line that contains the point (−3,−3).