Answer:
x = 17
Step-by-step explanation:
all three expressions should be added together and set equal to 180 degrees
6x - 15 + 2x - 2 + 4x - 7 = 180
now combine like terms
12x - 24 = 180
add 24
12x = 204
x = 204/12
x = 17
Melanie is looking for a loan. She is willing to pay no more than an effective rate of 9.955% annually. Which, if any, of the following loans meet Melanie’s criteria?
Loan A: 9.265% nominal rate, compounded weekly
Loan B: 9.442% nominal rate, compounded monthly
Loan C: 9.719% nominal rate, compounded quarterly
a.
B only
b.
A and C
c.
A and B
d.
None of these fit Melanie’s criteria.
Answer:
The correct answer is C.
Step-by-step explanation:
Giving the following information:
Loan A: 9.265% nominal rate, compounded weekly
Loan B: 9.442% nominal rate, compounded monthly
Loan C: 9.719% nominal rate, compounded quarterly
To calculate the effective annual rate, we need to use the following formula:
Effective annual rate= [(1+i)^n] - 1
Loan A:
i= 0.09265/52= 0.001782
Effective annual rate= [(1.001782^52) - 1]
Effective annual rate= 0.097 = 9.7%
Loan B:
i= 0.09442/12= 0.007868
Effective annual rate= [(1.007868^12) - 1]
Effective annual rate= 0.0986 = 9.86%
Loan C:
i= 0.09719/4= 0.02439
Effective annual rate= [(1.02439^4) - 1]
Effective annual rate= 10.11%
Answer:
c
Step-by-step explanation:
Evaluate the function.
Given f(x) = x2 - 4x2 - 3x - 5, find f(5).
Answer:
5
Step-by-step explanation:
Can someone please help me with numbers 4 and 5!!!
Answer:
Area: 378.5
Perimeter: 71.4
Step-by-step explanation:
Area = 3 square + 2 semicircle
A = 3 x 10² + 2 x (3.14 x 5²)/2 = 300 + 78.5 = 378.5
perimeter = 2 square/2 + 2circle/2
P = 2 x(10 + 10) + 2 x (2 x 3.14 x 5) / 2 = 40 + 31.4 = 71.4
Write your answer with no space and any fraction with “/“
Answer:
y+3=-1/2(x-1)
Step-by-step explanation:
Point-slope form of a line is given by the equation y - b = m(x - a), where,
(a, b) = is a point on the line
m = slope of the line.
A line that is perpendicular to y = 2x - 1 will have a slope value that is the negative reciprocal of the slope of the line.
The slope of the line, y = 2x - 1, is 2.
The negative reciprocal of 2 = -½.
The slope of the line that is perpendicular to y = 2x - 1 is -½.
Thus, m = -½.
Let's find the equation of the perpendicular if it passes through the point (1, -3).
Substitute (a, b) = (1, -3), and m = -1/2 into y - b = m(x - a).
Thus:
y - (-3) = -1/2(x - 1)
y+3=-1/2(x-1)
Evaluate the expression if x=6.7x
Answer: x=1
Step-by-step explanation: x=6.7(x)
Help me, save my life.
If x = 10 and y = -5, then what is the value of 9x - 3y - 12?
Answer:
93
Explanation:
x = 10y = -59x - 3y - 12
Substitute 10 for x and -5 for y9(10) - 3(-5) - 12
= 93
Bob's gift shop sold a record number of cards for Mother's Day. One salesman sold 24 cards, which was 20% of the cards sold for Mother's Day. How many cards were sold for Mother's Day?
Answer:24 cards - 20%= 19.2
Step-by-step explanation:
Directions: Convert the following equations from standard form to slope-intercept form.
10. 6x + 2y = 10
11. x + 2y = 4
Gina Wilson (All Things Algebra" LLC], 2012-2017
12. x + y = -3
13. -2x + 3y = -6
Answer:
in order
y = -3x + 5
y = 1/2(x) + 2
y = -x - 3
y = 2/3(x) - 2
Step-by-step explanation:
slope-intercept form is y= mx + b
10. 6x + 2y = 10
2y = -6x + 10, subtract 6x from both sides
y= -3x + 5, divide both sides by 2
11. x + 2y = 4
2y = x + 4, subtract x from both sides
y = 1/2(x) + 2, divide both sides by 2
12. x + y = -3
y = -x - 3, subtract x from both sides
13. -2x + 3y = -6
3y = 2x - 6, add 2x to each side
y = 2/3(x) - 2, divide both sides by 3
Simple math question (Pic provided) (Algebra)
Answer:m<k+m<k=180+167-133=100
Step-by-step explanation:
Exchange rates help you to know ____.
when it is best to travel
how much your currency is worth in another currency
what other economies think of your money
when to exchange your money
Answer:
B
Step-by-step explanation:
how much your currency is worth in a different currency
hope this helps <3
Add the expression
2x + 6 and 6x−1
Answer:
8x + 5
Step-by-step explanation:
You add like terms:
2x + 6x = 8x.
6 + (-1) = 5
Adding them up, you get:
8x + 5
1)10 = z+ 6
2) 8y = 48
3) q-12 = 1
6)11 = m-4
7)t-19=2
8)1+S = 3
9)24 = 4c
Please explain how these are solved please respond quickly
Find the image of A(-2, 3) after the following transformations.
Reflection over the X - axis with a translation down 3.
Answer:
A'(-2,-6)
Step-by-step explanation:
my mind i think its right
5/4y + 8 = 17.50
Please Help me
Write and solve an inequality that represents the values of x for which the area of the rectangle will be at least 35 square feet.
Explanation:
There really is not enough information here. You have not indicated how x is related to the rectangle.Perhaps (as an alternative to the assumption I made [above]), you meant for x > 0 to be the length of one side of a square.
I have attached the answer in the picture.
PLEASE ANSWER THESE 3 QUESTIONS I WILL MARK BRAINLIEST IF ITS RIGHT..
Answer:
1. C 2. I am pretty sure it is D if not than C 3. C
Step-by-step explanation:
Does the table represent a
linear or nonlinear function?
х y
2 8
4 4
6 0
8 -4
express 4037 in standard form
Answer: 4.037 × 10³
Step-by-step explanation:
If you simplify 4.037 × 10³, you get 4037
4.037 × 10³
4.037 × 1000
4037
Hope this helped!
Find Equations for the line
Answer:
Step-by-step explanation:
(-3, -1) and (3, 2)
(2 + 1)/(3+3)= 3/6= 1/2
y + 1 = 1/2(x + 3)
y + 2/2 = 1/2x + 3/2
y = 1/2x + 1/2
help MEEEEEE PLEASEEEEEEE
Answer:
4 1/3 hours
Step-by-step explanation:
Since he will have completed 7 hours AFTER 2 2/3 more hours, he has completed 7- 2 2/3 = 4 1/3 hours so far
An arts academy requires there to be 3 teachers for every 57 students and 5 tutors for every 55 students. How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 99 students?
Answer:
15
Step-by-step explanation:
Answer:
9 tutors would be needed
Step-by-step explanation
5/55=.0909
.0909×99=9
The price of an item has been reduced h 45% the original price was $49
Answer:
$26.95, you save $22.05
Step-by-step explanation:
$49 x 0.45 = $22.05 savings, 49 - 22.05 = 26.95
last month leonardo went to the gas station 5 times to buy gas for his car the numbers of gallons he purchased were 14.071, 14.32, 14.199 and 14.1 gallons
Answer:
its 14.32
Step-by-step explanation:
because if you line all the numbers up and you look in the hundreds place 3 is the biggest number
4. A car uses 5 gallons of gas for every 120 miles it travels. a. Complete the table. Graph the values. Gas (gal) 20 Distance (mi) 120 360 b. How many gallons of gas does the car use if it travels 600 miles? c. How far can the car travel if it uses 30 gallons of gas?
Answer:
14400 gallons of gas
Step-by-step explanation:
Solve the equation. k − 34 = 71
Answer:
105
Step-by-step explanation:
[tex]k − 34 = 71 \\ \\ k = 71 + 34 \\ \\ k = 105[/tex]
Answer:
k=105
Step-by-step explanation:
34+71=105
which expression are eguivalent to x+2y+x+2
Answer:
2x + 2y + 2
Step-by-step explanation:
x + 2y + x + 2
1. Combine like terms
x + x = 2x
there is only one y and one number w.out variable so you cannot combine anything else
2x + 2y + 2
and u cannot simplify it anymore
Hope this helped!
The ratio of green houses to white houses in Queens is 5 to 7. There are 63 white houses, How many green houses are there?
19. (03.02 LC)
ABCD is a rectangle. What is the value of x? (1 point)
65 meters
33 meters
9 meters
28 meters
Answer:
33
Step-by-step explanation:
Here in rt angled triangle ABC AC= 65 which is hypotenuse
so ,
65^2 = x^2 +56^2
√(65^2 -56^2)= x
x= 33
Use trigonometry to solve for x. Round to the nearest tenth.
Answer:
14.6
Step-by-step explanation:
Tangent of 39 degrees multiplied by 18 is 14.5674, or 14.6