are 1/2 and 2/4 proportional?
Answer:
yes they are proportional
A couple can afford to make a monthly mortgage payment of $700. If the mortgage rate is 2% and the couple intends to secure a 30-year mortgage, how much can they borrow?
========================================================
Explanation:
r = 0.02 = decimal form of 2% annual interesti = monthly interest ratei = r/12 = 0.02/12 = (2/100)/12 = 1/600.n = number of months = 12*30 = 360P = monthly payment = 700We'll plug those items into the formula below.
L = loan amount
L = P*( (1+i)^n - 1)/( i*(1+i)^n )
L = 700*( (1+1/600)^360 - 1 )/( 1/600*(1+1/600)^360 )
L = 189,383.961539639
L = 189,383.96
The couple can afford to borrow at most $189,383.96
Which TWO identify the same sequence?
A) f(x) = 6x + 4 for x = {1, 2, 3, ...}
B) f(x) = 10x + 4 for x = {1, 2, 3, ...}
C) a1 = 6 and an + 1 = an + 4 for n = {1, 2, 3, ...}
D) a1 = 10 and an + 1 = an + 4 for n = {1, 2, 3, ...}
E) a1 = 10 and an + 1 = an + 6 for n = {1, 2, 3, ...}
The sequences A and E are the same sequences.
What is Sequence?Sequences are set of numbers where the numbers are arranged in a specific order. Some of the common types of sequences are Arithmetic sequences and Geometric sequences.
A) f(x) = 6x + 4 for x = {1, 2, 3, ....}
f(1) = 10, f(2) = 16, f(3) = 22, ....
B) f(x) = 10x + 4 for x = {1, 2, 3, ...}
f(1) = 14, f(2) = 24, f(3) = 34, ....
C) a₁ = 6 and aₙ₊₁ = aₙ + 4 for n = {1, 2, 3, ...}
a₁ = 6, a₂ = a₁ + 4 = 10, a₃ = a₂ + 4 = 14, ....
D) a₁ = 10 and aₙ₊₁ = aₙ + 4 for n = {1, 2, 3, ...}
a₁ = 10, a₂ = a₁ + 4 = 14, a₃ = a₂ + 4 = 18, .....
E) a₁ = 10 and aₙ₊₁ = aₙ + 6 for n = {1, 2, 3, ...}
a₁ = 10, a₂ = a₁ + 6 = 16, a₃ = a₂ + 1 = 22, ....
A and E are the same sequences with a common difference 6 and the first term 10.
Hence A and E have the same sequence 10, 16, 22, .....
To learn more about Sequences, click :
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Given the following computer output, select the correct least-squares regression line:
The correct form of the regression line is [tex]\log time = 0.699 + 0.500\cdot \log length[/tex] (Correct choice: D).
According to the information presented in the figure, we know the following function:
The independent variable is 'length'.The dependent variable is 'time'.The regression line is of the form: [tex]\ln y = A + B\cdot \ln x[/tex].Hence, the correct form of the regression line is:
[tex]\log time = 0.699 + 0.500\cdot \log length[/tex] (Correct choice: D)
The correct form of the regression line is [tex]\log time = 0.699 + 0.500\cdot \log length[/tex] (Correct choice: D).
To learn more on regression lines, we kindly invite to check this verified question: https://brainly.com/question/7656407
Answer:
D: logTime=0.699 + 0.500
Step-by-step explanation:
0.699 is the x value which can be found in data under Coef and Constant. The y value can be found under coef and log(length)
When a number is divided by 5, it has a remainder of 4.
The number is between 35 and 40.
What is the number?
Answer:
37
Step-by-step explanation:
I plugged in the numbers between 35 and 40 and got this. No problem. :)
3 + 12 + 48 + 192 + ...
Whats the answer
Answer:
3, 12, 48, 192, 768, 3072, 12288 these are the next seven numbers
Add them all up and you get
= 16383 Answer CStep-by-step explanation:
[tex]3, 12, 48, 192[/tex]
So from 3 to 12 is multiply by 4
So we have checked that it works for all of them
Rule:
Each term is: Two to the power of the number3/4 times the number squared plus 0 times the number
I hope this has helped :)
write the equation of the line which has the given slope "m" and whivh passes through the given point...
a.(2,10) and m= -4
b.(4,-4) and m=3/2
c.(0,0) and m=3/5
equation of the line which has the given slope "m" and whivh passes through the given point...
a.(2,10) and m= -4
b.(4,-4) and m=3/2
c.(0,0) and m=3/5
the a,b, and c have the same formula
What is the purpose of constructing a confidence interval?
O In order to find a range of values to estimate the population
proportion.
o In order to find a range of values to estimate the sample proportion.
o To find the exact value of the population proportion.
o In order to find the exact sample proportion.
Using the interpretation of a confidence interval, it is found that the correct option is:
In order to find a range of values to estimate the population proportion.x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b. From the above bullet point, we have that the interval is taken from a sample, and is used to estimate a population parameter.Hence, the correct option is:
In order to find a range of values to estimate the population proportion.You can learn more about the interpretation of a confidence interval at https://brainly.com/question/25822483
URGENT PLS HELP
John is driving around town. When he reaches the gas station, he notes that he has traveled 18 miles. He reaches home 2 hours later and notes that he has traveled 34 miles. If d represents the distance and t represents the time, in hours, John has traveled since the gas station, which of the following equations can be used to model this situation?
1. d = 18t + 52
2. d = 16 + 18t
3. d = 8t + 18
4. d = 8t - 18
Suppose the sample space for a probability experiment has 48 elements. If items from the sample space are selected without replacement, how many different ways can you select all of the items?
Answer:
56study hard watch your book for 20 minute and look....this is a hint
A newborn child receives a $6000 gift toward a college education from her grandparents. How much will the $6000 be worth in 18 years if it is invested at 7.6% compounded quarterly?
Answer:
333.333333333
Step-by-step explanation:
you have to divide
Please answer the question on the image.
Answer:
both isosceles???
Step-by-step explanation:
Answer:
They are similar.
Step-by-step explanation:
There might be other ways but
<X(Angle of x) is used for both triangle XAB and XYZ
And lines AB and YZ are parallel, From this we know that a line intersected by parallel lines it forms same angles for both parallel angles.
The similarity statement is: AAA Because angle(A=B , B=Z)
what is integration ....nd differentiation
Answer:
Differentiation is used to break down the function into parts, and integration is used to unite those parts to form the original function. Geometrically the differentiation and integration formula is used to find the slope of a curve, and the area under the curve respectively.
Answer:
integration is the opposite of differentiation
Step-by-step explanation:
integration requires addition of 1 to the power and then division by the value eg
the integral of
[tex]{x}^{2} = \frac{ {x}^{2 + 1} }{2 + 1} \\ = \frac{ {x}^{3} }{3} [/tex]
while in differentiation, u subtract one and multiply by the value. eg
the differential of
[tex] \frac{ {x}^{3} }{3} = 3( \frac{ {x}^{3 - 1} }{3} ) \\ = 3( \frac{ {x}^{2} }{3} ) \\ = {x}^{2} [/tex]
LAST ATTEMPT IM MARKING AS BRAINLIEST!! ( use the scale factor to write the ordered pairs after the dilation )
Please help I don't understand
| X = 2 | Y = 3 | Z = 4 |
Evaluate the expression using the solutions above
5x + 6z + 2y
Answer:
The expression can be written as:
5(2) + 6(3) + 2(4).
if I'm wrong, please tell me
Who are you favorite male country singers?
Answer:
kanye west
Step-by-step explanation:
Dave and Kyle are 40 miles apart on a path when they start moving toward each other. Dave runs at a constant speed of 8 miles per hour, while Kyle walks at a constant speed of 5 miles per hour. How long does it take until they meet?
Answer:
About 3 hours
Step-by-step explanation:
together, they go 13 miles in one hour. 40/13 = 3 with remainder 1
What is the value of x in the equation 4
.
+
2
Answer:
x=-3
Step-by-step explanation:
The price of a CD decreased from $15 to $10. What is the percent of decrease
Answer:
Step-by-step explanation:
amount of decrease is $15 - $10 = $5
as a percentage of the original price
100($5/$15) = 33⅓ %
90 is 95% of what number?
Answer:
94.74
Step-by-step explanation:
Hope this helps!
Answer:
94.74
Step-by-step explanation:
At the airport, each piece of luggage to be checked in must not weigh more than 50
pounds.
Use w to represent the weight (in pounds) of a piece of luggage that can be checked in.
Answer:
w [tex]\leq[/tex] 50
Step-by-step explanation:
It costs $4.00 for 25 fl. oz. of detergent or $3.40 for 20 oz. Which is a better buy?
Sophie has $4.20 worth of dimes and quarters. She has twice as many quarters as dimes. Write a system of equations that could be used to determine the number of dimes and the number of quarters that Sophie has.
Answer:
0.25q +0.10d = 4.20q = 2dStep-by-step explanation:
Let q represent the number of quarters, and d represent the number of dimes.
0.25q +0.10d = 4.20 . . . . . the value of the coins
q = 2d . . . . . . . . . . . . . . . the relation between the numbers of coins.
__
Additional comment
Using substitution, the equation simplifies to ...
0.60d = 4.20
d = 7
q = 14
Note that the coins can be grouped into groups of 2 quarters and 1 dime. The value of the group is $0.60, and the number of dimes is equal to the number of groups. Thinking about the problem in this way gets you immediately to the single equation 0.60d = 4.20.
Solve for x. Round to the nearest tenth, if necessary.
1.8
P
х
1400
o
Answer:
13.6
Step-by-step explanation:
In the rectangular trapezoid ABCD AC is driven by a CD (see figure).
Find the width of the trapezoid if AC = 3, AD = 5.
Answer:
solution given:
let's see only in a right-angled triangle Δ ACD.
AC=3 units
AD=5 units
since Δ ACD is a right-angled triangle. It satisfies Pythagoras law
[tex]AD^{2}=AC^{2}+CD^{2}[/tex]
25=9+[tex]CD^2[/tex]
[tex]CD^2[/tex]=25-9=16
[tex]CD=\sqrt{16} =4 units[/tex]
Now
Area of rectangle Δ ACD=[tex]\frac{1}{2} CD*AC=\frac{1}{2}*4*3=6\: square \:units[/tex]
similarly,
[tex]\frac{1}{2} AD*CE=6\: square \:units\\ 5*CE=6*2\\CE=\frac{12}{5}=2.4 units[/tex]
since AB=CE=2.4 units
Δ ACE is a right-angled triangle. It satisfies Pythagoras law.
[tex]AC^{2}=AE^{2}+CE^{2}\\3^2=AE^2+2.4^2\\9-5.76=AE^2\\AE and BC=\sqrt{1.24} =1.11 units[/tex]
now
area of trapezoid=area ofΔACD+Area of ΔABC
=6+[tex]\frac{1}{2}AB*BC=6+\frac{1}{2}*2.4*1.11=6+1.33 =7.33\: square \:units[/tex]
use the result (a+b)²=a²+2ab+b² to find the value of 49²+98+1
pls help me
I will give brainliest
Answer:
2500
Step-by-step explanation:
a² + 2ab + b²
49² + 98 + 1
Comparing terms
a²= 49²
a= 49
2ab = 98
2× 49 × b = 98
98b = 98
b= 98/98
b = 1
or
b²= 1
b=√1
b= 1
a=49 and b= 1
Hence (a+b)²= (49+1)²
50²= 2500
What is the LCD/LCM of this equation
-12.2 + 2.8W - 8.8 = 1.05w
Answer: 2.8 W. 2.6 W. 2.4 W. 2.2 W. 2.0 W. 1.9 W. 1.7 W
Step-by-step explanation:
Answer:
LCD/ LCM = 100
Step-by-step explanation:
- 12.2 + 2.8W - 8.8 = 1.05W
- 12 [tex]\frac{2}{10}[/tex] + 2 [tex]\frac{8}{10}[/tex] W - 8 [tex]\frac{8}{10}[/tex] = 1 [tex]\frac{5}{100}[/tex] W
- [tex]\frac{122}{10}[/tex] + [tex]\frac{28}{10}[/tex] W - [tex]\frac{88}{10}[/tex] = [tex]\frac{105}{100}[/tex] W
the LCM/ LCD is 100
Help help help help math math
Determine if the two lines are parallel. Explain your answer for brainliest.
3x+4y=8
-12x-9y=27
Below!
Explanation:The lines are not parallel because the slope is not the same for both equations. If a slope is the same with different y-intercepts, the two line will eventually be parallel. However, if a line has same slope and y-intercept, then there will be infinite solutions to the equation.
Hoped this helped
[tex]BrainiacUser1357[/tex]
Solids X and Y are similar.
X has volume 64 cm3
Y has volume 343 cm3
The surface area of X is 176 cm2
Work out the surface area of Y.
Answer:
i think surface area of Y is 539 cm²