9514 1404 393
Answer:
a = 3b = -18Step-by-step explanation:
Using the least common denominator, we have ...
[tex]2-\dfrac{x+1}{x-2}-\dfrac{x-4}{x+2}\\\\=\dfrac{2(x-2)(x+2)-(x+1)(x+2)-(x-4)(x-2)}{(x-2)(x+2)}\\\\=\dfrac{2(x^2-4)-(x^2+3x+2)-(x^2-6x+8)}{x^2-4}\\\\=\dfrac{(2-1-1)x^2+(-3+6)x+(-8-2-8)}{x^2-4}=\boxed{\dfrac{3x-18}{x^2-4}}[/tex]
The values of a and b are ...
a = 3
b = -18
Kayla is financing $168,125 to purchase a house. She obtained a 25/8 balloon mortgage at 3.85%. What will her balloon payment be
Answer:
$130,626.56
Step-by-step explanation:
Kayla is financing $168,125 to purchase a house. She obtained a 25/8 balloon mortgage at 3.85%. What will her balloon payment be?
We are told that: She obtained a 25/8 balloon mortgage at 3.85%
This means the loan is amortized for 25 years and she would be monthly payment for 8 years before making the balloon payment.
Step 1
We find Monthly payments
Pmt = (A * i * (1 + i)ⁿ) / ((1 + i)ⁿ - 1)
Where:
Pmt - monthly payment;
A - Loan amount = $168,125
i - periodic interest rate = 3.85% = 0.0385
and
n - number of periods =
1 year = 12 months
8 years = x
x = 8 × 12 months = 96 months
n = 96 months
Pmt = (168,125 × 0.0385 * (1 + 0.0385)⁹⁶) / ((1 + 0.0385)⁹⁶- 1)
Pmt = $873.56
Step 2
When we find the monthly payment, we can compute the balance due after the term of a balloon loan.
B = (A * (1 + i)ⁿᵇ) - Pmt / i * ((1 + i)ⁿᵇ - 1)
Where:
B - Balloon payment
nb - Number of balloon loan periods =
Pmt - Monthly payment = $873.56
B = (168,125 × (1 + 0.0385)⁹⁶) - 873.56 / 0.0385 × ((1 + 0.0385)⁹⁶- 1)
B = $130,626.56
What is the standard form of y – 10 = 2(x + 2)?
Answer:
y = 2x+14
Step-by-step explanation:
So first of all simplify 2(x+2)
Result is 2x+4
Y-10=2x+4
Now add 10 to both sides and that's how you get your answer
Help, this is confusing for me
Answer:
B: 163,343
Step-by-step explanation:
V=πr²h 34²=1156, 1156×45=52020, 52020×3.14(π)=163,342.8, then round up.
6+1+7+8+9+5+4+6+7+7+7+7+7
Answer:81
Step-by-step explanation: calculator cause I got Mind jambled-
Answer:
[tex]81[/tex]
Step-by-step explanation:
6 + 1 + 7 = 14
8 + 9 + 5 = 22
4 + 6 + 7 = 17
7 + 7 + 7 + 7 = 21.
now add all of the results together.
14 + 22 + 17 + 21 = 81
hence, the answer is 81.
plz help with both questions (no link plz) 15 point and will make brainly
Answer:
question 5) 340.5
Step-by-step explanation:
abigails decorating buissness charge for every hour = $100+$13.50= 113.5
for 3 hour charges will be= 113.5 x 3= 340.5
hope it helps ❤️
Evaluate:
-6 ÷ 3
(-2)(-3)
8 - 4 ÷ -2
14 - 8 ÷ 4 × 0(5 - 3)
-6 ÷ 3=__
6 ÷ 3=2
-+2
=-2
(-2)(-3)=__
-2*-3
=6
8 - 4 ÷ -2=__
4÷-2=-2
8--2
=10
4 - 8 ÷ 4 × 0(5 - 3)
=4
hope this helped ○( ^皿^)っ
A recipe calls for 1/2 of a teaspoon of sugar for every 15 cookies. If you are going to make 75 cookies for a party, how many teaspoon of sugar will you use.
Answer:
2.5 teaspoons
Step-by-step explanation:
75/15 = 5
1/2 · 5 = 2.5
Answer:
2.5 teaspoons of sugar
Step-by-step explanation:
[tex]\frac{15}{0.5} =\frac{75}{y}[/tex]
Cross multiply.
15 × y = 0.5 × 75
15y = 37.5
15y ÷ 15 = 37.5 ÷ 15
y = 2.5
Substitute the values of a = 7 and b = 11. What expression do you get when you substitute these two values? 67 + 311 6 ( 7 ) + 3 ( 11 ) 6 ( 7 ) - 3 ( 11 ) 7 ( 7a) + 3 ( 11b)
Answer:
[tex]6(7) + 7(11)[/tex]
Step-by-step explanation:
Given
The expression is:
[tex]6a + 7b[/tex]
[tex]a = 7[/tex]
[tex]b = 11[/tex]
Required
The corresponding expression when the values are substituted for the variables
We have: [tex]6a + 7b[/tex]
Substitute [tex]a = 7[/tex]
So, the expression becomes:
[tex]6(7) + 7b[/tex]
Substitute [tex]b = 11[/tex]
So, the expression becomes:
[tex]6(7) + 7(11)[/tex]
3 numbers are in arithmetic progression their sum is15 and their product is 80 determine the 3 numbers
Answer:
2, 5, 8
Step-by-step explanation:
For starters, let us assume that the numbers are x-d, x, and x+d.
Where d is the common difference between terms.
This mean that we can say, from the question
x-d + x + x+d = 15
3x = 15,
x = 5,
This means that the terms are 5, 5-d and 5+d.
On the other hand,
(5-d) * 5 * (5+d) = 80
(5-d) * (5+d) = 80/5
(5-d) * (5+d) = 16
25 - d² = 16
d² = 9
d = + or - 3.
Finally, the three numbers will be 2, 5, and 8. On the flipside, their sum and product are 15 and 80.
Mr. Garvey is almost finished working on his rectangular patio. He has ordered enough patio stones to cover an area of 600ft2. He knows that his yard is 30ft wide. He also remembers that there is an equation for areas of a rectangle: FASTTTTT
Answer:
20 ft
Step-by-step explanation:
Area of a rectangle = length x width
600 ft^2 = 30 ft x length
length = 600 / 30
= 20 ft
what type of question can be solved using Cramer's rule?
Answer:
check the pdf .
Step-by-step explanation:
Suppose a circle has a diameter of 20 inches. What is its radius?
A)400 in
B)40 in
C)20 in
D)10 in
do the following conditions make a unique triangle more than one triangle or no triangle possible
Answer:
No triangle possible.
Step-by-step explanation:
3 + 6 < 10 so no triangle can be drawn with these lengths.
A student has taken three math tests so far this semester. His scores for the first three tests were 65, 67, and 69. Suppose his test scores continue to improve at the same rate. What will be his grade on the sixth (and final) test? What will be his total score for all six tests?
Answer:
75
Step-by-step explanation:
Scores for his first tests were 65, 67, 69.
Rate of change: +2
y=2x+63; 63 is the 0th test he took, his first test was 65, so 65-2=63. 2x is the rate of change, his tests scores increase by 2 each time.
x=6, 6th test score
y=2(6)+63
y=12+63
y=75
So, on his 6th test he will get a score of 75
A password contains five digits, such as 17467. How many different passwords can be formed? Help please
Answer:
Step-by-step explanation:
100,000
The number of different passwords can be formed by; 1,00,000
How to identify the place value of a digit in a number?The place values on the left of the decimal point start as ones, tens, hundreds, and so on. The place value on the right of the decimal point starts from the point and goes to the right as tenths, hundredths, and so on
Given that the password contains five digits, such as 17467.
In general total digits = 10 [ from 0 to 9]
If a password contains five digits, then by the fundamental principal of counting, then the total number of different passwords;
[tex]10^5[/tex] = 1,00,000
Hence, the number of different passwords can be formed by; 1,00,000
Learn more about place value here:
https://brainly.com/question/17983725
#SPJ2
Mara carried water bottles to the field to share with her team at halftime. The water bottles weighed a total of 60x2 + 48x + 24 ounces.
Which factorization could represent the number of water bottles and weight of each water bottle?
6(10x2 + 8x + 2)
12(5x2 + 4x + 2)
6x(10x2 + 8x + 2)
12x(5x2 + 4x + 2)
Answer: 12(5x2 + 4x + 2) is correct answer
Step-by-step explanation:
60x2 + 48x + 24
if we take 6 as a common factor
6(10x^2+8x+4) so first option is not true
if we take 12 as a common factor
12(5x2 + 4x + 2)
6x & 12x can not be taken as common factor..
so the correct option is 2nd one..
the temperature in november was less than 55 degrees every day which inequality shows the temperature in november
Answer:
a. x < 55
Step-by-step explanation:
We know that the temperature in November was less than 55° every single day, we are then asked to find which inequality out of the four given shows the temperature in November.
To do so, take the most crucial information, "the temperature in November was less than 55° every single day." The words "less than" makes us know that we will be using the sign "<". Looking at the answers, we see only one that uses it, and that is a.
Therefore a is the correct answer.
Express y in terms of x.
Variables x and y are related so that, when
[tex]y ^{2} [/tex]
is plotted on the vertical axis
and
[tex]2 ^{x} [/tex]
is plotted on the horizontal axis, a straight-line graph which passes
through the point (8, 49) with gradient 3 is obtained.
a Express ya in terms of
[tex] {2}^{x} [/tex]
.
b Find the value of x when y = 11.
Answer: Saya benar-benar membutuhkan poin tetapi saya tidak ingin dilaporkan jadi saya meletakkan ini adalah terjemahan untuk bahasa yang berbeda. Saya minta maaf untuk umpan atau apa pun namanya tetapi saya benar-benar membutuhkan poin.
Step-by-step explanation:
Which transformation carries the regular pentagon onto itself?
Answer: rotations
With regard to the regular pentagon, the student describes the center of rotation as the point where the diagonals intersect. The student indicates that rotations of degree 72, 144, 216, 288, and 360 clockwise and counterclockwise about this point will carry the pentagon onto itself.
HOPE THIS HELPS
List all the multiples of 3 less than 14.
Answer:
3, 6, 9, 12
Step-by-step explanation:
3 × 1 = 3
3 × 2 = 6
3 × 3 = 9
3 × 4 = 12
Answer:
3 6 9 12
Step-by-step explanation:
1 x 3 = 3
2 x 3 = 6
3 x 3= = 9
3 x 4 = 12
3 x 5 = 15 <------ TOO MUCH
Multiples are numbers that can be divided by that number you are finding out the multiples.
The probability of a chance event is 0.5, it is __________ to happen when compared to a chance event with a probability of 1.
Answer: less likely
Step-by-step explanation:
Given
The probability of an event is 0.5
The value of probability always lies between 0 and 1. 0 represents that event will not while 1 represents the certainty of the event.
When 0.5 is compared with 1, it is less likely to happen i.e. chances of this event to occur are less compared to the a event with probability of 1.
i need heeeeeelp please and thank you :)
help me if you can !!
Answer:
it is the 3rd one
Step-by-step explanation:
50 pt = ?gal
50 pt = ?pt
PLEASE HELPPPP
Answer:
50 pints is 6.25 gallons.
What do you mean by the second one?
Step-by-step explanation:
50 ÷ 8 = 6.25
Answer:
50 pints is 6.25 gallons.
50 ÷ 8 = 6.25
Step-by-step explanation:
What is the surface area of a cube that has a radius of 9 ft and height of 3 ft
Answer:
If it has a radius of 9 then the length will be 18 and it would be a 18 by 3 shape and that's not a cube....
Step-by-step explanation:
HELP PLSSSSSSSSSSSSSSSSSSSSSSSSS
Answer:
the answer is what you think it is fam on foenem
The sum of a number and 2.
Answer:
whats the question
Step-by-step explanation:
select the inequality that is represented by the number line below
NO LINKS OR I WILL REPORT
Answer:
a) x<0
Step-by-step explanation:
the circle is not solid so it’s just a less than a sign and the arrow is going less than 0 so x is less than 0 is the answer
hope this helps :)
Suppose you take 340 mg of a certain medication.
The amount of medication in your body decreases by 32% per hour.
Write a function for M(h), the number of milligrams of the medication in your body after h hours
Answer:
m= 340 × 0.68h
Step-by-step explanation:
Given that
You take 340 mg of the certain medication
And, the amount of medication would be reduced by 32% per hour
So we need to the find the function for M(h)
Here M denotes the milligrams
And, the h denotes the hours
So, the function would be
m = 340 × (1 - 0.32)h
m= 340 × 0.68h
The same would be considered and relevant
PLS HELP ME THIS IS Probability (Single event) PLS HELP ME
Answer:
2/6 or 33.3%
1/6 or 16.65%
3/6 or 50%
0/6 0r 0%
Step-by-step explanation: