Definition: In x3, x is called the
is 10.
Example: When using scientific notation the
es )
Term: Type term here
Answers
Answer:
it is exponent less than 1
Related Questions
Suppose that 10 years ago you bought a home for $130,000, paying 10% as a down payment, and financing the rest at 8% interest for 30 years.
Your existing mortgage (the one you got 10 years ago)
How much money did you pay as your down payment?
$13,000Correct
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How much money was your existing mortgage (loan) for?
$117,000Correct
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What is your current monthly payment on your existing mortgage?
$$343445$343445Incorrect
Note: Carry at least 4 decimal places during calculations.
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How much total interest will you pay over the life of the existing loan?
$$179,060$179,060Incorrect
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This year (10 years after you first took out the loan), you check your loan balance. Only part of your payments have been going to pay down the loan; the rest has been going towards interest. You see that you still have $102,637 left to pay on your loan. Your house is now valued at $190,000.
Your current situation
How much of the original loan have you paid off? (i.e, how much have you reduced the loan balance by? Keep in mind that interest is charged each month - it's not part of the loan balance.)
$
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How much money have you paid to the loan company so far (over the last 10 years)?
$
Note: the down payment is not included here, as it is paid directly to the seller
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How much interest have you paid so far (over the last 10 years)?
$
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How much equity do you have in your home (equity is value minus remaining debt)
$
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Refinancing
Since interest rates have dropped, you consider refinancing your mortgage at a lower 6% rate.
If you took out a new 30 year mortgage at 6% for your remaining loan balance, what would your new monthly payments be?
$
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How much interest will you pay over the life of the new loan?
$
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Analyzing the refinance
Notice that if you refinance, you are going to be making payments on your home for another 30 years. In addition to the 10 years you've already been paying, that's 40 years total.
How much will you save each month because of the lower monthly payment?
$
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How much total interest will you be paying (consider the interest you paid over the first 10 years of your original loan as well as interest on your refinanced loan)
$
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Now the non-computational question: Does it make sense to refinance? (there isn't a correct answer to this question. Just give your opinion and your reason)
(Note: The computer can't auto-grade this part, so it will show a score of 0 until I manually grade it)
Submit Question Question 13
Answers
Answer:
Make this question individually!
Step-by-step explanation:
Please!
Given the following formula, solve for t. V = ut at OA. ย + 1 t 1 B. いま O C. t a(v – u) OD. t = a(v + a) Re
Answers
Answer:
[tex]\frac{v - u}{a} = t[/tex]
Step-by-step explanation:
Given
[tex]v = u + at[/tex]
Required
Solve for t
[tex]v = u + at[/tex]
Subtract u from both sides
[tex]v - u = u - u + at[/tex]
[tex]v - u = at[/tex]
Divide both sides by 1
[tex]\frac{v - u}{a} = \frac{at}{a}[/tex]
[tex]\frac{v - u}{a} = t[/tex]
[tex]t = \frac{v - u}{a}[/tex]
Running out of time, Could i please get help
Answers
Answer:
D
Step-by-step explanation:
For an expansion (ax+b)^c the row that will help you is the c'th one
He is using the c'th row so look for something in the form (ax+b)^15
Only one that fits is D
need help plz help me
Answers
Answer:
080777056656:5 c
The ratio of the measures of the three angles in a tangle 3107. Find the measures of the angles and write them in size order,
largest:
middle
Answers
Answer:
27, 90 and 63
Step-by-step explanation:
Given
Ratio of triangle sides
[tex]Ratio = 3 : 10 : 7[/tex]
Required:
The length of each side
Triangles in a triangle add up to 180.
The side with ratio 3 is:
[tex]S_1 = \frac{3}{3 + 10 + 7} *180[/tex]
[tex]S_1 = \frac{3 *180}{20}[/tex]
[tex]S_1 = \frac{540}{20}[/tex]
[tex]S_1 = 27[/tex]
The side with ratio 10 is:
[tex]S_2 = \frac{10}{3 + 10 + 7} *180[/tex]
[tex]S_2 = \frac{10 *180}{20}[/tex]
[tex]S_2 = \frac{1800}{20}[/tex]
[tex]S_2 = 90[/tex]
Lastly:
The side with 7 as its ratio
[tex]S_3 = \frac{7}{3 + 10 + 7} *180[/tex]
[tex]S_3 = \frac{7 *180}{20}[/tex]
[tex]S_3 = \frac{1260}{20}[/tex]
[tex]S_3 = 63[/tex]
Hence, the angles are: 27, 90 and 63
Which expressions are equivalent to 5 +(-3)(6x - 5)?
Choose all answers that apply:
A
18r - 20
B
3.x - 3
None of the above
Answers
Answer:
B i think
Step-by-step explanation:
Julie was a lifeguard during the summer. She earned a total of $2,176. She was paid $68 per day she worked. How many days did Julie work in the summer?
Answers
Answer:
32
Step-by-step explanation:
To answer this question, you have to divide 2,176 by 68.
If it costs £55 to buy 11 cushions, how much will it cost to buy 19?
Answers
Answer:
£95
Step-by-step explanation:
Cost of 11 cushions = £55
Unit cost of 1 cushion = 55/11 = £5 per cushion
Cost of buying 19 cushion = 19 × unit cost
= 19 × £5
= £95
Thus, it would cost £95 to buy 19 cushions
Step-by-step explanation:
11 cushions = £55
1 cushion = 55 ÷ 11
1 cushion = £5
19 cushions = £5 × 19
= £95
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Find the area of the figure. Use 3.14 for it.
2 ft.
8 ft
3 ft
4 ft
3 ft
8 ft
Answers
Answer:
I dont know if you still need it but the area of the figure is 51.5 ft2.
The area of the given figure is equivalent to 39.5 square feet.
What is Area?Area is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write -
V = ∫∫F(x, y) dx dy
Given is to find the area of the given figure as shown in the image.
We can write the area of the given figure as -
A{total} = A{Rectangle} + A{Δ1} + A{Δ2}
A{total} = (8 x 4) + (1/2 x 3 x 3) + (1/2 x 3 x 2)
A{total} = 32 + 4.5 + 3
A{total} = 39.5 square feet
Therefore, the area of the given figure is equivalent to 39.5 square feet.
To solve more questions on areas, visit the link-
https://brainly.com/question/29213222
#SPJ2
Find and simplify the expression
F(3x)=(3x)^2-3
Answers
____________________________
1.) Expand [tex]\bold{(3x)^2}[/tex]:[tex]3^2x^2-3[/tex]- We do this to make the problem easier to simplify. When expanded you can easily figure out what you need to find to make it a simplified equation.
2.) Calculate [tex]\bold{3^2}[/tex]:[tex]3^2=9[/tex]- We do this because it's the only thing we can find, that would make this a simplified problem.
So your answer is [tex]\bold{9x^2-3}[/tex].
____________________________
1. Only 60% of the students passed a drawing class. 2,000 students took the class. Find out how many students were failures.
Answers
Answer:
800 students failed
Step-by-step explanation:
Since 60% passed the class, 40% failed
This means that 40% of the 2,000 students are failures
[tex]\frac{40}{100} (2,000)= 800[/tex]
The function f(x)=3x+K and f(4)=7. Find the value of K and f(2)
Answers
Step-by-step explanation:
step 1. f(4) = 3(4) + K = 7 (plug in values)
step 2. K = -5 (subtract 12 from each side)
step 3. therefore f(x) = 3x - 5
step 4. f(2) = 3(2) - 5 = 1 (plug in x= 2)
• Work out the percentage change to 2 decimal places when £78.98 is increased to £100
Answers
Answer:
The total change is £21.02 from the original amount of £78.98. Therefore, the percentage change is directly related to the original amount.
Divide the total change by the original amount to determine the percentage change the new amount represents.
21.02÷78.98=0.15219 which rounds up to two decimal places as 15.22%.
Find the missing value in the picture?
Answers
Answer:
AC=13.6
Step-by-step explanation:
let the triangle is ABC
radius =6 , diameter =6*2=12
therefore AB=12
since BC is a tangent
therefore angle B =90 degrees
BC=6.4
[tex]\sqrt (AB)^2+(BC)^2 =AC[/tex]
AC=13.6
If Sara can only work 5% of one hour now many minutes of one hour can Sara work?
Answers
5% or 5percent can be thought of 5 per 100.
5 per 100 or 5 out of 100 can be written as 5/100 or 1/20.
An hour have 60 minutes and 1/20 of an hour is 60*1/20=3 minutes.
Therefore Sara can work 3 minutes every hour.
Oliver sets out 5 one-gallon buckets to collect rainwater. After a storm, of each bucket
is filled with water. Oliver wants to know how many total gallons of water he collects.
Which addition expression can you use to find how many
total gallons of water Oliver collects?
Answers
1. He collected 5 gallons of water.
2. We find this out by knowing 5 = 5.
Hope it helps! Good luck! :D
2 The length of Rectangle A is 7x +11. The
length of Rectangle B is 15x - 9. Given the
two Rectangles are congruent, what is the
value of x?
Answers
Answer:
Step-by-step explanation:
If congruent the sides are equal
15x-9=7x+11
8x=20
x=20/8=2.5
Rachel jogged along the trail that was 1/4 of a mile long she jogged along the trail eight times how many miles did Richel jog
Answers
Answer:
Step-by-step explanation:
8 laps × (¼ mile)/lap = 2 miles
3. (07.02 MC) What is the value of y in the equation 3(3y - 12) = 0? (5 points) 4 5 6 9
Answers
3(3y-12)=0 divide both sides by 3
3y-12=0 add 12 to both sides
3y=12 divide both sides by 3
y=4
divide 72 into the ratio of 4:5
Answers
divide 72 in the ratio of 4: 5
= 16
step 1: add the two sides of the ratio 4+5=9
step 2: divide 72 by 9
72/9=8
step 3: solve either side of the ratio by multiplying by answer to step 2
so 8 × 4=32 and 5 × 8=40
step 4: check answer by adding the two sides of the ratio 32 + 40 = 72
BROOOOOOOOOOOOOOO HELPPPPPPPPP
Answers
What is the answer to this?
Answers
9514 1404 393
Answer:
cot(θ) = 24/7
Step-by-step explanation:
A suitable calculator can answer this nicely.
__
Perhaps you're expected to remember relevant trig identities.
tan(θ)^2 = sec(θ)^2 -1
cot(θ) = 1/tan(θ)
__
cot(θ) = 1/√(sec(θ)^2 -1)
cot(θ) = 1/√((25/24)^2 -1) = 24/√(25^2 -24^2) = 24/√49
cot(θ) = 24/7
(answer fast please, thanks!)
Mike and Shawna are selling cookie dough for a school fundraiser. Customers can buy packages of chocolate chip cookie dough and packages of oatmeal cookie dough. Mike sold 12 packages of chocolate chip cookie dough and 3 packages of oatmeal cookie dough for a total of $225. Shawna sold 6 packages of chocolate chip cookie dough and 11 packages of oatmeal cookie dough for a total of $293. What is the cost each of one package of chocolate chip cookie dough and one package of oatmeal cookie dough?
Answers
Answer:
$19 for one package of oatmeal cookie dough and $14 for one package of chocolate chip cookie dough
Step-by-step explanation:
We need to set up two equations: one that shows how much money Mike made and one that shows how much money Shawna made.
Let's make a = price for one chocolate chip cookie dough and b = price for one oatmeal cookie dough.
First equation for Mike: 12a + 3b = 225
Second equation for Shawna: 6a + 11b = 293
Next we isolate b from Mike's equation: b = 75 - 4a
Then we plug this equation into Shawna's equation and we get:
6a + 11(75 - 4a) = 293
Solving for a would get us 14, or $14 for one chocolate chip cookie dough.
If we plug 14 = a into Mike's original equation and solve for b, we get b = 19, or $19 for one oatmeal cookie dough.
Hope this helped!
Two points A and C are on the same level ground as the foot of pole B . The distance between A and C is 40m and A and C are on the same sides of the vertical pole . The distances from the top of the pole D to A and C are 53 and 85 respectively. Find correct to 1 do the distance between the foot of the pole B and the point A.
Answers
Answer:
The distance between the pole and point A is 35.2m
Step-by-step explanation:
First, we have to illustrate the problem. I can't draw as of the moment but I'll try my best to describe the drawing as best as I can. You can draw this in a scratch paper to have a better understanding.
In a horizontal line, there is a point A, B, and C.From left going to right, the arrangement of points will be C-A-B.The distance between A and C is 40m.The pole is standing at point B with height h.The tip of the pole or the top most part of the pole is point D.From point D to A, the measurement is 53m.From point D to C, the measurement is 85m.Let's name the distance between A and B as x.Now that you have drawn this. There should be two triangles formed now namely triangle DCB and DAB.
TRIANGLE DCB
By Pythagorean Theorem, we can write an equation for the height of the pole.
[tex]h^{2} = {53}^{2} - {x}^{2} [/tex]
TRIANGLE DAB
By Pythagorean Theorem, we can write an equation for the height of the pole.
[tex] {h}^{2} = {85}^{2} - {(40 + x)}^{2} [/tex]
Since we only have one pole, this means that we can equate the two equations.
[tex] {53}^{2} - {x}^{2} = {85}^{2} - {(40 + x)}^{2} \\ {53}^{2} - {85}^{2} = {x}^{2} - ( {x}^{2} + 80x + 1600) \\ - 4416 = - 80x - 1600 \\ 80x = 4416 - 1600 \\ 80x = 2816 \\ x = \frac{2816}{80} \\ x = 35.2[/tex]
The Acculturation Rating Scale for Mexican Americans (ARSMA) is a psychological test that measures the degree to which Mexican Americans are adapted to Mexican/Spanish versus Anglo/English culture. The range of possible scores is 1.0 to 5.0, with higher scores showing more Anglo/English acculturation. The distribution of ARSMA scores in a population used to develop the test is approximately Normal with mean 3.0 and standard deviation 0.8. A researcher believes that Mexicans will have an average score near 1.7 and that first-generation Mexican Americans will average about 2.1 on the ARSMA scale.
What proportion of the population used to develop the test has scores below 1.7? Between 1.7 and 2.1?
Answers
Answer:
The proportion of the population used to develop the test that has scores below 1.7 is 0.063.
The proportion of the population used to develop the test that has scores between 1.7 and 2.1 is 0.0662.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
The distribution of ARSMA scores in a population used to develop the test is approximately Normal with mean 3.0 and standard deviation 0.8.
This means that [tex]\mu = 3, \sigma = 0.8[/tex]
What proportion of the population used to develop the test has scores below 1.7?
This is the pvalue of Z when X = 1.7. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1.7 - 3}{0.8}[/tex]
[tex]Z = -1.63[/tex]
[tex]Z = -1.63[/tex] has a pvalue of 0.063
The proportion of the population used to develop the test that has scores below 1.7 is 0.063.
Between 1.7 and 2.1?
This is the pvalue of Z when X = 2.1 subtracted by the pvalue of Z when X = 1.7.
X = 2.1
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2.1 - 3}{0.8}[/tex]
[tex]Z = -1.13[/tex]
[tex]Z = -1.13[/tex] has a pvalue of 0.1292
X = 1.7
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1.7 - 3}{0.8}[/tex]
[tex]Z = -1.63[/tex]
[tex]Z = -1.63[/tex] has a pvalue of 0.063
0.1292 - 0.063 = 0.0662
The proportion of the population used to develop the test that has scores between 1.7 and 2.1 is 0.0662.
The point (x, y) is proportional to the point (2, 5). Select all the true statements.
(x, y) is a solution to y = 5/2X
(x, y) is a solution to y=x+3.
The ratio of Y/X is equivalent to 5/2
Point (x, y) is the same point as (5, 2).
A straight line through points (2, 5) and (x, y) will pass through the origin.
Answers
Step-by-step explanation:
(x, y) is a solution to y = 5/2X
(x, y) is a solution to y=x+3.
The ratio of Y/X is equivalent to 5/2
Point (x, y) is the same point as (5, 2).
A straight line through points (2, 5) and (x, y) will pass through the origin.
Multiply (2x+5)(4x^2-2x+3)
Answers
Answer:
8x^3+16x^2-4x+15
Step-by-step explanation:
Distribute and combine like terms.
Hope this helped :)
Write an inequality that represents the graph? Please. Please.
Answers
Answer:
y[tex]\leq[/tex][tex]\frac{1}{2}[/tex]x-2
it is less than because it is shaded down, its less than or equal to because the line is solid.
Answer:
2y < - x - 4
Step-by-step explanation:
First find the equation of the line in the form y=mx+c (straight line)
The y-intercept is at -2 so c=-2.
For each 2 along the x-axis it goes 1 down the y-axis, so the gradient is -1/2, so m = -1/2
We now have y = -(1/2) x - 2
Try a coordinate, e.g. (0,0) one side of that line:
-(1/2) 0 - 2 = -2
-2 is less than 0, but we don't want (0,0) in the region, so we say
y < -(1/2)x - 2 or
2y < - x - 4
select all the correct answers which expressions are equal to 6^3.2^6/2^3 A. 2^3.3^3 B. 12^6 C. 2^6.3^3 D.6^3 E. 12^3
Answers
Answer:
C and EStep-by-step explanation:
Given expression:
6³×2⁶/2³Simplify:
6³×2⁶/2³ = 6³×2⁶⁻³ =6³2³ =(6×2)³ =12³The answer choices:
A. 2³×3³ = 6³ ⇒ IncorrectB. 12⁶ ⇒ IncorrectC. 2⁶×3³ = 4³×3³ = 12³ ⇒ CorrectD.6³ ⇒ IncorrectE. 12³ ⇒ CorrectGabriel finds some dimes and quarters in his change purse. How many coins
does he have if he has 11 dimes and 8 quarters? How many coins does he have
if he has d dimes and a quarters?
Answers
8 quarters equal 2 dollars 11 dimes is a dollar and 10 cents so 3 dollars and 10 cents