Answer:
GCF = x
Step-by-step explanation:
The factor decomposition is:
7 * x for the first term
2 * 2 * x for the second term.
The ONLY common factor is "x", and the maximum power at which it appears in BOTH terms is "1" (one)
Therefore GCF = x
Dagny Taggart has just purchased a home and taken out a $300,000 mortgage. The mortgage has a 25 year term with monthly payments and has an APR of 6% (monthly compounding). The total amount of interest that Dagny will pay during the first month of her mortgage is closest to:
a.
1923.24
b.
1816.93
c.
1500
d.
1485
Answer:
c.
1500
Step-by-step explanation:
The computation of the total amount of interest in first month is shown below:
Interest for first month is
= Mortgage amount × interest rate ÷ total number of months in a year
= $300,000 × 6% ÷ 12
= $1,500
Hence, the interest in the first month is $1,500
Therefore the c option is correct
Starbucks opened two new locations. Location A costed $800 to open but makes $100 a month. Location B costed $1200 to open but makes $200 a month. Determine how long it will take for the locations to have made the same amount after paying off their costs and how much that amount is. *
Answer:
I think it is A that will take longer but im not 100 percent sure
Step-by-step explanation:
First write an equation:
Location A- 800+100x
Location B- 1200+200x
Then you need to plug numbers in for x
I will mark you as brainliest if you get the question right
Answer:
103
Step-by-step explanation:
x = 180-77 = 103
because it's a straight line, so 180 - 77 to find x
An underground aquifer near Seiling, Oklahoma, sits on an impermeable layer of limestone. West of Seiling the limestone layer is thought to slope downward in a straight line. In order to map the limestone layer, hydrologists started at Seiling heading west and drilled sample wells. Two miles west of Seiling the limestone layer was found at a depth of 220 feet. Three miles west of Seiling the limestone layer was found at a depth of 270 feet
(a) What would you expect to be the depth of the limestone layer 5 miles west of Seiling
(b) You want to drill a well down to the limestone layer as far west from Seiling as you can. Your budget will allow you to drill a well that is 275 feet deep. How far west of Seiling can you go to drill the well? (Round your answer to one decimal place.)
Answer:
(A) 490ft.
(B) 2.8 miles
Step-by-step explanation:
Important points to note:
- The limestone layer is thought or assumed to slope downward in a straight line.
- 2 miles west of Seiling, the limestone layer was found at a depth of 220ft.
- 3 miles west of Seiling, the limestone layer was found at a depth of 270ft.
(A) What would you expect to be the depth of the limestone layer, 5 miles west of Seiling?
The expected depth of the limestone layer is:
2 miles + 3 miles = 5 miles
220ft + 270ft = 490ft
(B) Your budget will allow you drill a well that is 275ft deep. How far west of Seiling (in miles) can you go, to drill the well?
If 490ft ~ 5 miles
then 275ft ~ K miles
K = [275 x 5] / 490 = 2.80612245 miles
Rounding to 1 decimal place, the distance is 2.8 miles.
Each square in the grid is a 1 x 1 centimeter square.
What is the area of the shape?
8square centimeters
Step-by-step explanation:
1 square is 1cm2. theres 8 squares so 8cm2
C. Find the value of x below:
15.r + 5
-2 + 16.
Answer:
7
Step-by-step explanation:
(15x + 5) and (-2 + 16x) represents the measures of corresponding angles.
Measures of corresponding angles are equal.
Therefore,
- 2 + 16x = 15x + 5
16x - 15x = 5 + 2
x = 7
Consider a bag with 5 green marbles, 3 blue marbles, and 2 red marbles. If two marbles are drawn without replacement what is the probability that they are both blue?
A) .055556
B) .066667
C) .077778
D) .088889
Find the value of x. Round to the nearest tenth.
Answer:
x = 22.1°
Step-by-step explanation:
Angle ∠A = 41.124° = 41°7'26" = 0.71775 rad
Angle ∠B = 22.075° = 22°4'31" = 0.38528 rad
Angle ∠C = 116.801° = 116°48'4" = 2.03856 rad
There is a line who slope is 3 and who’s Y intercept is -10. Right it’s equation in slope intercept form
Step-by-step explanation:
substitute the given value in the standard form equation. it will give you the slope intercept form
Please help for instant brainliest.
Use the given points to answer parts 1, 2, and 3. Include all of your work in your final answer. Type your answer in the box provided or use the upload option to submit your
solution.
(6, 1) and (5, 4)
Part 1: Find the slope of theline that passes through the given points, (6, 1) and (6,4).
Part 2: Write the point-slope form of the line that passes through the points (6, 1) and (5, 4).
Part 3: Write the slope-intercept form of the line that passes through the points (6, 1) and (5, 4).
Answer:
Write the point-slope form of the line that passes through the points (6, 1) and (5, 4).
Step-by-step explanation:
Bert wants to save $5,742 so that he can buy the car he wants. If Bert can save $18 per day, how many days will it take him to save enough money?
Answer:
319 days
Step-by-step explanation:
5742/18=319 days
The Sunny Days Apartment building has a cylindrical, above ground pool in the yard. The radius of the pool is 2 times its height, and the volume is 3000 cubic feet. How deep is the pool? In other words, what is the height of the pool?
9514 1404 393
Answer:
6.2 ft
Step-by-step explanation:
The volume of a cylinder is given by ...
V = πr²h
Here, we have r=2h and V=3000 ft³. Putting these numbers into the formula and solving for h, we get ...
3000 ft³ = π(2h)²h
(3000 ft³)/(4π) = h³ . . . . . divide by the coefficient of h³
h = ∛(750/π) ft ≈ 6.2 ft
The pool is about 6.2 feet deep.
x – 4y = 27
3x + y = -23
Answer:
Step-by-step explanation:
Answer:
x=-5, y=-8
Explanation:
I did it already
at a garage sale a large bin full of DVDs and CDs are being sold.all the DVDs and all the CDs are the same price. Aaliyah bought two DVDs for six dollars and the four CDs for eight dollars. Her friend lynn wants to buy four DVDs and two CDs. How much will Lynn have to pay Aaliyah‘s brother Pierre wants to spend $20 on DVDs and CDs what combination of DVDs and CDs could he buy
Answer:
Step-by-step explanation:
$6/(2 DVDs) = $3/DVD, and $8/(4 CDs) = $2/CD
a DVD costs $3
a CD costs $2
Lynn bought 4 DVDs and 2 CDs for 4×$3 + 2×$2 = $16.
Pierre bought d DVDs and c CDs for $20.
d is 0, 2, 4, or 6
c = (20-3d)/2
(d,c) = (0,10), (2,7), (4,4), or (6,1)
n is an integer.
Write the values of n such that -15 < 3n <6
I need know please
Answer:
-5<n≤2
Step-by-step explanation:
Divide 3 by -15 nad 6 since we need to find the "n" we need to divide on all sides, so -15 divided by 3 is -5 so replace -15 with -5 and 6 divided by 3 is 2 so replace 6 with 2
Simplify to a single power of 5
Answer:
7
Step-by-step explanation:
multiplying exponents adds them together... 5+2=7
Fresh Mart buys a bushel of apples for $3.50 and sells it for $12.50. What is the
percent of increase in price? Round to the nearest whole number. What is the
dollar amount of Fresh Mart's profit?
Answer:
12%
Step-by-step explanation:
Answer:
Step-by-step explanation:
x% of 3.50 = 12.50
x% = 12.50/3.50 ≅ 3.57 = 357%
price increased by 357%
profit = 12.50 - 3.50 = $9
the options are
A. 1
B. -1
C. 1
D. 1
What is 4 5/12 + 4 9/60 simplified? (Just give the answer)
Answer:
8 17/30Step-by-step explanation:
Answer:
8 17/30
Step-by-step explanation:
4 5/12=4 25/60
4 25/60+4 9/60=8 34/60=8 17/30
Can anyone help with condensing this?
Answer:
log 16x^7.
Step-by-step explanation:
log 4 + 2 log 2 + 7 log x
= log4 + log 2^2 + log x^7
= log (4*4*x^7)
= log 16x^7.
given that the 11th term of arithmetic progression is 43 that the first term is 3 find the 4th term
Answer: 15
Step-by-step explanation:
The 11th term of arithmetic progression is 43. We can use this to get the common difference which will be:
a + (n - 1)d = 43
where,
a = first term = 3
n = nth term = 11
d = common difference = unknown
Therefore, a + (n - 1)d = 43
3 + (11 - 1)d = 43
3 + 10d = 43
10d = 43 - 3
10d = 40
d = 40/10
d = 4
Common difference = 4
Therefore, 4th term will be:
= a + (n - 1)d
= a + (4-1)d
= a + 3d
= 3 + 3(4)
= 3 + 12
= 15
The 4th term is 15
Simplify -3a + 5b - c given a = 2, b = -1 and c= 10
Answer:
-21
Step-by-step explanation:
-3a + 5b - c
-3(2)+5(-1)-(10)=-21
-5/6+1/4
Simplify if needed
Brainliest
Answer:
-7/12
Step-by-step explanation:
-5/6 + 1/4 (LCM is 12)
-10/12 + 3/12
-7/12
area of a circle is 254.34 cm2. What is the diameter of the circle, use 3.14.
The area of a circle is:
Area = PI x r^2 ( r is the radius which is half the diameter)
Using the information in the problem:
254.34 = 3.14 x r^2
Divide both sides by 3.14:
81 = r^2
Take the square root of both sides:
r = 9
The diameter = 2r = 2(9) = 18 cm
Find the unit rate. Enter your answer as a mixed number. A fertilizer covers 5/6 square foot in 1/2 hour
Answer:
1.67square foot/hr
Step-by-step explanation:
If a fertilizer covers 5/6 square foot in 1/2 hour, then;
5/6 square foot = 1/2 hour
To determine the unit rate, we will say;
x square foot = 1 hr
Divide both expressions
5/6x = 1/2
5 * 2 = 6x
10 = 6x
x = 10/6
x = 1.67square foot/hr
Hence the unit rate is 1.67square foot/hr
–5(–2) also i checked and apparently its not -7
Answer:
Im pretty sure you need to multiply answer is 10
Step-by-step explanation:
because the -5and -2 are right next to each other and if -7 doesn't work thats the next best thing.
3. What is 256% as a decimal?
Answer:
2.56
Step-by-step explanation:
Answer:
it would be 2.56
Step-by-step explanation:
256 ÷ 100 = 2.56
Simply the expression by combining the like terms:
-6j + 4 + 2j - 1
Answer:
-4j + 3 or 3 - 4j
Step-by-step explanation:
you can combine the terms in any order that you want, but i'm going to begin with the j terms.
first, identify the like terms.
-6j + 4 + 2j - 1
then combine the like terms.
-6j + 2j = -4j
now identify the next set of like terms.
-6j + 4 + 2j - 1
combine those like terms.
4 - 1 = 3
after combining the first set of like terms, you're left with: -4j
after combining the second set of like terms, you're left with: 3
therefore the simplified expression is -4j + 3 or 3 - 4j. rearranging those terms doesn't change the answer, so it doesn't matter what order you write it in.
i hope this helps!! have a great rest of your day :)
which is the better price?
$5.36 for 20 oz.
or $9.27 for 48 oz.
Answer:
$9.27 for 48 oz.