Given:
The equation for the linearized regression line is:
[tex]\log y=0.30x+0.296[/tex]
where x represents number of weeks and y be the customer's stock.
To find:
The number of weeks that will pass before the value of the stock reaches $200.
Solution:
We have,
[tex]\log y=0.30x+0.296[/tex]
Substituting y=200, we get
[tex]\log (200)=0.30x+0.296[/tex]
[tex]2.301=0.30x+0.296[/tex]
[tex]2.301-0.296=0.30x[/tex]
[tex]2.005=0.30x[/tex]
Divide both sides by 0.30.
[tex]\dfrac{2.005}{0.30}=x[/tex]
[tex]6.6833333=x[/tex]
[tex]x\approx 6.7[/tex]
Therefore, the correct option is C.
What is the value of x that makes l1||12?
A. 11.3
B. 14
C. 22
D. 10
Answer:
[tex](8x - 14) + (2x + 54) = 180 \\ 8x + 2x - 14 + 54 = 180 \\ 10x - 14 + 54 = 180 \\ 10x + 40 = 180 \\ 10x = 180 - 40 \\ 10x = 140 \\ x = \frac{140}{10} \\ x = 14[/tex]
(NECESITO PROCEDIMIENTO)
9x + 8 = 7x + 6
X= -1
X= 1/3
X= 1
Answer:
[tex]x=-1[/tex]
Step-by-step explanation:
[tex]9x+8=7x+6[/tex]
Keep the variables in the left side & rest in the left side:
[tex]9x-7x=6-8[/tex]
[tex]2x=-2[/tex]
[tex]x=-2/2[/tex]
[tex]x=-1[/tex]
Susie is paying $540.15 every month for her $150,000 mortgage. If this is a 30 year mortgage, how much interest will she pay over the 30 years of payments?
Answer:
17310.6
$540.15 multiply 30
because if they ask all in every month is 540.15
and she got 30 year
Susie will pay a total of $44,454 in interest over the 30 years of mortgage payments.
How to determine How much how much interest will she pay over the 30 years of paymentsTo determine the total interest Susie will pay over the 30 years of mortgage payments, we need to subtract the principal amount (the original loan amount) from the total amount she will pay over the 30 years.
First, let's calculate the total amount she will pay over the 30 years by multiplying her monthly payment by the number of months in 30 years:
Total amount paid = Monthly payment x Number of months
= $540.15 x (30 years x 12 months/year)
= $540.15 x 360
= $194,454
Next, we subtract the principal amount from the total amount paid to find the total interest paid:
Total interest paid = Total amount paid - Principal amount
= $194,454 - $150,000
= $44,454
Therefore, Susie will pay a total of $44,454 in interest over the 30 years of mortgage payments.
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Katherine Johnson is organizing the sale of supplies for the space mission. On the first day you of sales Dorothy Vaughan purchased 3 blankets and 9 trays for a total of $75. Mary Jackson spent 67 on the second day by purchasing 8 blankets and 5 food trays. What is the price of one blanket ticket and one food tray?
A cylindrical roller is 4m long. Its diameter is 1.4m. How many metres does it travel in 500 revolution?
Step-by-step explanation:
the answer is in the image above
what is the answer to this?
Answer:
x= -1, y = -1
Step-by-step explanation:
-16x +24y = -8
16x -8y = -8
16y = -16
y=-1
16x = -16
x = -1
Answer:
x = - 0.25 = - 1 / 4
y = 0.5 = 1 / 2
Step-by-step explanation:
4x + 6y = 2
Divide 2 on both sides,
2x + 3y = 1 ----> eq. 1
16x - 8y = - 8
Divide - 8 on both sides,
- 2x + y = 1 ----> eq. 2
Add eq. 1 and 2,
2x + 3y = 1
- 2x + y = 1
_________
0 + 4y = 2
4y = 2
y = 2 / 4
y = 1 / 2
y = 0.5
Substitute y = 0.5 in eq. 2,
- 2x + y = 1
- 2x + 0.5 = 1
- 2x = 1 - 0.5
- 2x = 0.5
x = 0.5 / - 2
x = - 0.25
If F is conservative, find all potential functions f for F so that F = ∇f. (If F is not conservative, enter NOT CONSERVATIVE. Use C as an arbitrary constant.)
Answer: some parts of your question is missing below is the missing data
Determine if the given vector field F is conservative or not. F = −6e^y, (−6x + 3z + 9)e^y, 3e^y
answer:
F is conservative
F = -6xe^y + ( 33 + 9 ) e^y + C
Step-by-step explanation:
The Potential functions for F so that F = ∇f.
F = -6xe^y + ( 33 + 9 ) e^y + C
attached below is a detailed solution
An isosceles triangle has been constructed so that its height is half its base. Find the dimensions of the
triangle if the area is 64 m².
Answer: 4 8×8= 64 half the base which is 8 =4
Step-by-step explanation:
Answer:
height = 8 m
base = 16 m
Step-by-step explanation:
Let base = 2x m
So, height = half its base = [tex]\frac{2x}{2} = x \ m[/tex]
Area = 64 m²
[tex]\frac{1}{2}* \ base* \ height = 64\\\\\\\frac{1}{2}* 2x * x = 64[/tex]
x * x = 64
x * x = 8 * 8
x = 8 m
Base = 2x = 2*8 = 16 m
The figure that will be formed if two 45° 45° 90° setsquares are put together is _________.
Review the data you collected for the angles in Question 2. Notice that ∠CFB is one of four angles formed by the two intersecting chords. What relationship do you observe that could help you determine the measure of any of the four angles created by two intersecting chords? Write the relationship as an equation.
Answer:
The measure of an angle created by two intersecting chords is half the sum of the measure of the intercepted arc and the measure of the arc vertically opposite to the angle. In this case, I can write m∠CFB = 1/2(m∠CAB + m∠EAD) because the measure of an intercepted arc is equal to the measure of its corresponding central angle.
Explanation:
sample answer from edmentum
Help urgent In a class of 35 students 15 of them have cats 16 have dogs 3 hangs none how many probability does have both
Answer:
9/25
Step-by-step explanation:
Number of student who has cat , dog = 25 - 3 = 22
Number of students who has cat and dogs = (15 + 16) - 22
= 31 - 22 = 9
Number of students who has only cats = 15 - 9 = 6
Number of students who has only dogs = 16 - 9 = 7
P(Cat & dog) = 9/25
Question 3
1 pts
Students from Mr. Caldwell's Spanish class are saving money for a summer
trip to Barcelona, Spain. Each student needs to raise $1,080 to be able to
attend the trip. This amount represents an increase of 12.5% over the cost of
the trip last year. How much did the trip to Barcelona cost last year?
O $850
$960
$1,215
$1,030
Answer:
$960
Step-by-step explanation:
Let the original amount be = x
Percentage increase is equal to = 12.5%
final amount = original amount + increase
final amount = x + 0.125x
final amount = 1.125x
final amount = 1080 = 1.125x
and then solve for x
[tex]x = \frac{1080}{1.125} \\ \\ x = 960[/tex]
so in the end x is equal to $960
Solve the equation: 1080 = 1.25x
what is the solution to the equation below sqrt x+3 = x-3
A. 5
B. 6
C. 4
D. 3
Answer:
The value of x = 6
Step-by-step explanation:
Given:
√x + 3 = x - 3
Find:
The value of x
Computation:
Given expression
√x + 3 = x - 3
Squaring both side
(√x + 3)² = (x - 3)²
x + 3 = x² + 3² - (2)(x)(3)
x + 3 = x² + 9 - 6x
x² + 9 - 6x - x - 3 = 0
x² + 7 - 5x = 0
x² - (6 + 1)x + 6 = 0
x² - 6x - x + 6 = 0
x(x - 6) -1(x - 6) = 0
(x - 6)(x - 1) = 0
x = 6 and x = 1
The value of x = 6
what is the difference
Answer:
what is question of this you asked
Solve the system of equations.
Answer:
(-1,3) and (2,6)
Step-by-step explanation:
The solution to the system is where the two graphs intersect
The graphs intersect at x=-1 and y =3 and x = 2 y=6
(-1,3) and (2,6)
HALP ASAP, also im in or going into 7th grade it only goes from 10th to 100??
which makes know sence
The population of a town is 157,220 and is decreasing at a rate of 0.8% each year. Predict the population in 5 years (round to the nearest whole number).
Answer:
151,031
Step-by-step explanation:
If the population of a town is decreasing at 0.8% each year, the new population of the town will be [tex]100\%-0.8\%=99.2\%[/tex] of what it was last year. To find 99.2% of something, multiply it by 0.992. Therefore, we can write the following equation:
[tex]f(x)=157,220\cdot 0.992^x[/tex], where [tex]f(x)[/tex] is the population of the town [tex]x[/tex] years after the town had a population of 157,220.
Substitute [tex]x=5[/tex] into this equation to get the projected population after 5 years:
[tex]f(5)=157,220\cdot 0.992^5, \\f(5)=151031.019048,\\f(5)\approx \boxed{151,031}[/tex]
Therefore, in 5 years, the population should be 151,031.
what is 2.9225 rounded to the nearest cent?
Answer:
2.92
Step-by-step explanation:
bvscscscscsccscd
Answer:
2.92
Is what I rounded
and hope it helps
A shopkeeper bought two watches for rs. 400 . He sold them to gain 5 % on one and 5 % loss on other . Calculate his final gain or loss percent of the selling price of both watches is same .
Answer:
69
Step-by-step explanation:
1234567890
Solve the equation P=s+t+r for s.
Answer:
[tex]\huge\boxed{\boxed{s=P-t-r}}[/tex]
Step-by-step explanation:
[tex]P=s+t+r\qquad|\text{subtract}\ t\ \text{and}\ r\ \text{from both sides}\\\\P-t-r=s+t+r-t-r\\\\P-t-r=s\Rightarrow\boxed{s=P-t-r}[/tex]
An item on sale costs 80% of the original price. The original price was $41.
Answer:
$32.80
Step-by-step explanation:
So you are trying to find out how much does the sale price cost?
Ok convert $41 into a decimal
$41 = $0.41
Then multiply 80% x $0.41
80 x $0.41 = 32.80
Answer:
$32.8
Step-by-step explanation:
Solve using a proportion
if 100%= $41 and 80% = x, then you cross multiply, and you get 100x = 41 (80), which would become 100x = 3280. Then you divide by 100 on both sides to get 32.8, which would be your answer!
Expand : (3x+5y)²
please answer
Answer:
FOIL: [tex]9x^2 +30xy + 25y^2[/tex]
(3x + 5y)(3x+5y)
F: 3x*3x
O: 3x*5y
I: 5y*3x
L: 5y*5y
[tex]9x^2 +30xy + 25y^2[/tex]
Step-by-step explanation:
Please help!! I am literally in tears!!
Consider the function, y = - 13x +52. Find the inverse of the function by solving it for
x. Then, use the inverse to find a value of y such that x = 182.
Answer:
-10
Step-by-step explanation:
Inverse equation: x= -13y +52
simplify: y=-1/-13x + 4
Plug in for x: y= 1/-13 (182) +4
= -10
Answer:
y = -10
Step-by-step explanation:
x = -13 y + 52
y = (x - 52)/-13
~~~~~~~~~~~~~~~~~~
y = (182 - 52)/-13
y = -10
pllllllssssss helpooppppp
Enter a recursive rule for the geometric sequence.
5, -10, 20, -40,...
a^1 = __; a^n = __
Answer
a^1=-2,5
a^n=a×a^n-1
Find the volume of a pyramid with a square base, where the area of the base is 12.5 ft ^2 12.5 ft
2
and the height of the pyramid is 16 ft. Round your answer to the nearest tenth of a cubic foot.
Answer:
833.3 ft^3
Step-by-step explanation:
The formula for the volume of a pyramid is:
V = (lwh)/3
V = volume
l = length of base
w = width of base
h = height of pyramid
Now we just correspond the values with the variables:
l = 12.5
w = 12.5
h = 16
And plug these values into the formula:
((12.5)(12.5)(16))/3
((156.25)(16))/3
2500/3
833.3 ft^3
Hope this helps (●'◡'●)
The solution is : the volume of a pyramid with a square base is 833.3 ft^3.
What is volume?In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.
here, we have,
we know that,
The formula for the volume of a pyramid is:
V = (lwh)/3
V = volume
l = length of base
w = width of base
h = height of pyramid
Now we just correspond the values with the variables:
l = 12.5
w = 12.5
h = 16
And plug these values into the formula:
=((12.5)(12.5)(16))/3
=((156.25)(16))/3
=2500/3
=833.3 ft^3
Hence, The solution is : the volume of a pyramid with a square base is 833.3 ft^3.
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Expand and Simplify
10a-(3a+7)
The price of an item changed from $175 to $150. Later, the price decreased to $125. Which of the two decreases was larger in percentage and how much is it?
Answer:
The second decrease is larger at 16 1/6% decrease
Step-by-step explanation:
175 to 150
Take the original price minus the new price divided by the original price
(175 -150) /175 =25/175 = 1/7 =.142857143 = 14.28 % decrease
150 to 125
Take the original price minus the new price divided by the original price
( 150-125)/150 = 25/150 = 1/6 =.16666 = 16 1/6 % decrease
The second decrease is larger at 16 1/6% decrease
a) The nth term of a sequence is given by 3n + 5. Write down the first four terms of the sequence.
If you plug in n = 1, then you get 3*n+5 = 3*1+5 = 3+5 = 8. So 8 is the first term.
Repeat for n = 2 and you should get 3n+5 = 3*2+5 = 6+5 = 11. Or simply add 3 to the last term 8 to get 3+8 = 11.
Repeat for n = 3 and n = 4 to get the third and fourth terms to be 14 and 17 respectively.
Answer: The first four terms are 8, 11, 14, 17Please help!! I am literally in tears!!
Without graphing, explain how you know the equation
y = - 1/2x^2 - 7 will be compressed
(compared to the parent function of y=x^2).
Answer:
" because the coefficient of the x^2 term is less than 1 (between -1 and + 1)
y = x^2 looks like a big U with the vertex (bottom) "kissing" the origin (0,0)
if you add 1 to the equation y = x^2 + 1 it shifts UP one
if you subtract 3 y = x^2 -3 it shifts down three ....
if you change it to look like this y = (x+4)^2 it shifts (slides) to the LEFT 4 units..
note that this slide is opposite to the sign + 4 left slide , - 4 right slide...
NOW YOUR QUESTION !!!! if the coefficient is > 1
y = 99 x^2 then the graph gets "skinny" goes up faster...
if it is less than one (between -1 past 0 to +1 ) then it flattens out
Bottom line here your coefficient is a "-1/2"
so YOUR GRAPH IS A ∩ (goes downward) and is FLATTER than the normal ∪
I hope that this helps
Step-by-step explanation:
