Answer:-13
Step-by-step explanation:-2+3(1-4)-2
-2+3×-3-2
-2-9-2
-11-2
-13(hope this helps also if u want can u make thithis the brainliest?:))
Which of these expressions can be used to calculate the monthly payment for
a 30-year loan for $195,000 at 6.6% interest, compounded monthly?
O A.
$195 000 0.0055 (1+0.0055) 360
(1+0.0055)300 +1
OB.
$195 000 0.0055 (1+0.0055) 360
(1+0.0055) 300-1
O C.
$195 000 0.0055(1-0.0055)300
(1-0.0055) 300-1
Answer:
B
Step-by-step explanation:
Monthly Payment Formula
[tex]\sf PMT=\dfrac{Pi(1+i)^n}{(1+i)^n-1}[/tex]
where:
PMT = monthly paymentP = loan amounti = interest rate per month (in decimal form)n = term of the loan (in months)Given:
P = $195,000i = 6.6% = 0.066n = 12 × 30 = 360[tex]\implies \sf PMT=\dfrac{195000(0.066)(1+0.066)^{360}}{(1+0.066)^{360-1}}[/tex]
Can some one help me???
The unknown sides of the right angle triangle using trigonometric ratios are as follows;
PR = 13.2 units
RQ = 17.6 units
What is a right angle triangle?
A right angle triangle is a triangle that has one of its angles as 90 degrees.
The sides of the triangle can be found using trigonometric ratios.
Therefore,
sin 37° = opposite / hypotenuse
sin 37° = PR / 22
cross multiply
PR = 22 sin 37
PR = 22 × 0.60181502315
PR = 13.2399305093
PR = 13.2 units
cos 37 = adjacent / hypotenuse
cos 37 = RQ / 22
RQ = 22 cos 37
RQ = 17.569981221
RQ = 17.6 units
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You are a salesman for company Z. Total sales for company Z last year were
R900 000,00. You were responsible for obtaining R300 000,00 worth of these
sales. As a fraction, what was your share of the total sales?
Answer:
1/3 or 33.33%
Step-by-step explanation:
30000000/90000000
The image shows a circle centered at point O angle AOB Measures at 42 degrees.
What is the Measure of the angle acb explain your reasoning
The measure of angle ACB for circle centered at point O is 21°
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
∠AOB = 2 * ∠ACB (angle at center is twice the angle at circumference)
42 = 2 * ∠ACB
∠ACB = 21°
The measure of angle ACB for circle centered at point O is 21°
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NEED HELP FAST! 50 POINTS see the image below
Answer:
90 in²
Step-by-step explanation:
First,check the figure I provided .
Area of the figure = area1 + area2 + area3 + area4
= (3×2) + (7×7) + (7×2) + (7×6)÷2
= 6 + 49 + 14 + 21
= 90
Convert 4 3/5 to a fraction greater than one
Answer:
23/5
Step-by-step explanation:
* means multiply
4 3/5
5 * 4 = 20
20 + 3 = 23
23/5
Answer:
[tex]\frac{23}{5}[/tex]
Step-by-step explanation:
The type of fraction we are dealing with is called a mixed fraction
In order to convert this fraction into a fraction greater than 1, we will have to convert it into an improper fraction
So we keep the denominator
Multiply the whole number by the denominator and add that to the numerator
somebody helpppp i beg
root*324=18
441=21
529=23
hope it helps
please mark as brainliest
Consider that x = 1.5 and y = 3. Which statement is true about x + y?
Answer:
x + y = 4.5
Step-by-step explanation:
x + y = 1.5 + 3 = 4.5
Gretta is 2 1/2 kilometers tall. Which of the followings is equivalent to 2 1/2 kilometers in meters
Answer:
Gretta would be 2500 meters tall
Step-by-step explanation:
2km=2000 and the 1/2 would be 1/2=500 so the answer it 2500
Pls mark brainliest!!!!
rotate the figure 90 degrees clockwise then translate 4 units left
Answer:
If I am not mistaken, the new figure will be here (view attachment, bright blue figure is the new transformation)
Answer:
For each of the following equations determine the output values Corresponding to the input value
(-2;-1;0;1;2;3)
An electric bulb is sold in a box measuring 5 cm by 4 cm by 4 cm. If the shopkeeper receives them in a carton measuring 50 cm by 20 cm by 20 cm, how many bulbs would be packed in one carton ?
Answer:
250
Step-by-step explanation:
Bulb box and carton both are of cuboidal shape.
For bulb box the dimensions are:
l = 5 cm, w = 4 cm, h = 4 cm[tex]V_{Bulb\: box} =lwh[/tex][tex]\implies V_{Bulb\: box} =5(4)(4)[/tex][tex]\implies V_{Bulb\: box} =80\: cm^3[/tex]For Carton the dimensions are:
l = 50 cm, w = 20 cm, h = 20 cm[tex]V_{Carton} =lwh[/tex][tex]\implies V_{Carton} =50(20)(20)[/tex][tex]\implies V_{Bulb\: box} =20,000\: cm^3[/tex]To find the number of bulbs packed in the carton, divide the [tex]V_{Carton}[/tex] by [tex] V_{Bulb\: box}[/tex]
[tex] Number \:of \:bulbs =\frac{V_{Carton}}{V_{Bulb\: box}}[/tex][tex] \implies Number \:of \:bulbs =\frac{20,000}{80}[/tex][tex] \implies Number \:of \:bulbs = 250[/tex]So, 250 bulbs will be packed in one carton.
Juanita must buy 50 plastic ducks for a game at the carnival. The ducks are sold in packages of 6. What is the LEAST number of packages Juanita should buy?
Answer:
9
Step-by-step explanation:
The least number of packages she should buy is 9 because 9 x 6 is 54 so she would have 4 extra ducks but she would still have enough for the carnival game
How would you solve this without a calculator?
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
Exact Form:
[tex]1351+780\sqrt{3}[/tex]
Decimal Form:
2701.99962990
Thus, 2,701 is your answer
How many liters of 70% alcohol solution and 30% alcohol solution must be mixed to obtain 8 liters of 60% alcohol solution?
a. Complete the table below with the expressions needed to solve this problem. Then solve it in part b.
70% solution 30% solution Final solution
Number of Liters x y
Liters of Alcohol
b. You need
liters of 70% solution and
liters of 30% solution.
In this equation f(x) = 3x -15, what is y if x is 9?
*
Answer:
y = 12
Step-by-step explanation:
To solve this equation... The function is basically:
y = 3x - 15
So by substituting in x=9:
y = 27 - 15 = 12.
y = 12
Hope this helps.
Answer:
y = 12
Step-by-step explanation:
f(x) = y, so to find y, we jut need to substitute 9 for all the x-values in the equation:
f(9) = 3(9) - 15
Simplify:
f(9) = 27 - 15
f(9) = 12
Since f(x) = y
y = 12 when x is 9
Hope this helped!
NO LINKS!!!! Exponential Growth and Decay Part 2
Problem 4
a = 10800 = initial populationb = 1 + r = 1 + (-0.025) = 0.975 is the decay factorThe template of [tex]y = a*b^x[/tex] becomes [tex]y = 10800*0.975^x[/tex] to represent the exponential function.
x = number of years since 2002y = populationWe want to know when the population reaches half of 10800, so we want to know when the population is 10800/2 = 5400
Plug in y = 5400 and solve for x.
[tex]y = 10800*0.975^x\\\\5400 = 10800*0.975^x\\\\0.975^x = 5400/10800\\\\0.975^x = 0.5\\\\\log(0.975^x) = \log(0.5)\\\\x\log(0.975) = \log(0.5)\\\\x = \log(0.5)/\log(0.975)\\\\x \approx 27.377851\\\\x \approx 28\\\\[/tex]
I rounded up to the nearest whole number because x = 27 leads to y = 5452, which is not 5400 or smaller.
Luckily, x = 28 leads to y = 5315 which gets over the hurdle of being 5400 or smaller.
Add 28 years onto the starting year 2002 and we get to 2002+28 = 2030
The population reaches half of its original amount in the year 2030.
Answers:The exponential function is [tex]y = 10800*0.975^x[/tex]It takes 28 years to get to half the population. This occurs in the year 2030============================================================
Problem 5
a = 28750 = starting value for the carb = 1 + r = 1 + (-0.12) = 0.88 = decay factorIf the car loses 12% of its value each year, then it keeps the remaining 88%
Plug those values into [tex]y = a*b^x[/tex].
We find the equation is [tex]y = 28750*0.88^x[/tex] where,
x = number of years since 2012y = car's valueReplace y with 10,000 and solve for x.
[tex]y = 28750*0.88^x\\\\10000 = 28750*0.88^x\\\\0.88^x = 10000/28750\\\\0.88^x \approx 0.347826\\\\\log(0.88^x) \approx \log(0.347826)\\\\x\log(0.88) \approx \log(0.347826)\\\\x \approx \log(0.347826)/\log(0.88)\\\\x \approx 8.261168\\\\x \approx 9\\\\[/tex]
Like in the previous problem, we round up so we clear the hurdle.
Adding 9 years onto 2012 gets us to 2012+9 = 2021
Answers: The function is [tex]y = 28750*0.88^x[/tex]It takes about 9 years, and it occurs in the year 2021Answer:
Exponential Function
General form of an exponential function: [tex]y=ab^x[/tex]
where:
a is the initial value (y-intercept)b is the base (growth/decay factor) in decimal formx is the independent variabley is the dependent variableIf b > 1 then it is an increasing function
If 0 < b < 1 then it is a decreasing function
Question 4Given:
a = 10,800b = decrease of 2.5% = 0.975x = time (in years)y = populationAs the population is decreasing by 2.5% each year, the population will be 100% - 2.5% = 97.5% of the previous year. Therefore, the base is 0.975.
Final equation: [tex]\large \text{$ y=10800(0.975)^x $}[/tex]
Half of population: 10800 ÷ 2 = 5400
[tex]\large \begin{aligned}y & =5400\\\implies 10800(0.975)^x & =5400\\(0.975)^x & = \dfrac{5400}{10800}\\(0.975)^x & = 0.5\\\ln (0.975)^x & = \ln 0.5\\x \ln 0.975 & = \ln 0.5\\x & = \dfrac{\ln 0.5}{\ln 0.975}\\x & = 27.377785123\end{aligned}[/tex]
2002 + 27.37785... = 2029.37785...
Therefore, the population will reach half during 2029 (by 2030).
Question 5Given:
a = 28,750b = decrease of 12% = 0.88x = time (in years)y = value (in dollars)As the value is decreasing by 12% each year, the value will be 100% - 12% = 88% of the previous year. Therefore, the base is 0.88.
Final equation: [tex]\large \text {$ y=28750(0.88)^x $}[/tex]
Find when the car is worth $10,000:
[tex]\large \begin{aligned}y & = 10000\\\implies 28750(0.88)^x & = 10000\\(0.88)^x & = \frac{10000}{28750}\\(0.88)^x & = \frac{8}{23}\\\ln (0.88)^x & =\ln \left(\frac{8}{23}\right)\\x \ln (0.88) & =\ln \left(\frac{8}{23}\right)\\x & =\dfrac{\ln \left(\frac{8}{23}\right)}{\ln (0.88)}\\x & = 8.26116578\end{aligned}[/tex]
2012 + 8.26116578.. = 2020.26116578..
Therefore, the value of the car will reach $10,000 during 2020 (by 2021).
PLEASE HELP ME! Find the 10th term of the geometric sequence that has a1 = 400 and A2 = 200.
Answer:
I believe the answer is 0.7813
Step-by-step explanation:
Find the difference between 400 and 200, as they are first and second terms. This is going to be 0.5 since it is being divided.
The formula is: a∨n=a∨1(r)^(n-1)
n= the number of the sequence you are looking for
r=0.5
a∨1=400
a∨2=200
400(0.5)^(10-1)
Laurie says that 2+3 x 2+3= 13. Ray says that 2+3 x 2+3= 11. Who is correct
Answer:
Ray
Step-by-step explanation:
Ray is correct . Have a nice day :)
John is making apple pies and apple cobblers to sell at the farmer’s market. A pie uses 4 cups of apples and 3 cups of flour. A cobbler uses 2 cups of apples and 3 cups of flour. When John sells the pies and cobblers at the farmer’s market, he will make $3.00 profit per pie and $2.00 profit per cobbler. Let x = the number of pies John makes. Let y = the number of cobblers John makes. Interpret the meaning of the vertex with the maximum profit in context of john’s baking.
Step-by-step explanation:
there are some pieces of information missing like the price of apples and flour. or the selling prices. or any restrictions like a fixed budget to buy ingredients or how many pies and cobblers he can make in a certain available time.
all we can say based on the given information :
one pie = 4a + 3f (a = apples, f = flour)
one cobbler = 2a + 3f
P(x, y) = 3x + 2y =
= x(selling price - 4a - 3f) + y(selling price - 2a - 3f)
the max. of P(x, y) is the maximum profit by selling pies and cobblers, which is without any further information +infinity.
the more pies and cobblers he sells, the bigger the profit - no limit.
PLS HELP
Find the value of x and y.
Answer:
x= 27.71281 = 16√3
y= 13.85641 = 8√3
Step-by-step explanation:
hope it helps :)
Which answer best describes the complex zeros of the polynomial function? f(x)=x^3−3x^2+16x−48
A The function has three nonreal zeros.
B The function has three real zeros.
C The function has two real zeros and one nonreal zero.
D The function has one real zero and two nonreal zeros.
Using the Factor Theorem, it is found that the correct option regarding the complex zeros of f(x) is given by:
D The function has one real zero and two nonreal zeros.
What is the Factor Theorem?The Factor Theorem states that a polynomial function with roots [tex]x_1, x_2, \codts, x_n[/tex] is given by:
[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]
In which a is the leading coefficient.
In this problem, the function is given by:
f(x) = x³ - 3x² + 16x + 48.
Using a calculator, the roots are given by:
[tex]x_1 = -1.89767, x_2 = 2.44884 + 4.39288i, x_3 = 2.44884 - 4.39288i[/tex]
The first root is real, while the second and third are complex(nonreal), hence option D is correct.
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7) What is the area of the figure below?
12 cm
13 cm
20 cm
21 cm
Answer:
65,520
Step-by-step explanation:
12x13x20x21=64,520
Identify the 17th term in the arithmetic sequence.
a1 = 11, d = −2
The arithmetic sequence has a common difference, and a first term and the 17th term in the arithmetic sequence is -21
How to determine the 17th term?The given parameters are:
First term, a = 11Common difference, d = -2The nth term of an arithmetic progression is:
Tn = a + (n - 1)d
So, we have:
T17 = a + 16d
Substitute the given values
T17 = 11 - 16 * 2
Evaluate
T17 = -21
Hence, the 17th term in the arithmetic sequence is -21
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Find the volume of the solid.
What is the value of x in the equation 5x+ 3 = 4x?
A.-3
B.- 1/3
C.1/3
D.3
Answer:
-3
Step-by-step explanation:
5•-3=-15
4•-3=-12
-15+3=-12
Question 2 of 10
Which of the following geometric objects occupy one dimension?
Check all that apply.
A. Line
B. Triangle
C. Plane
D. Segment
E. Ray
F. Point
A. Line
D. Segment
E. Ray
Step-by-step explanation:Math dimensions include length, width, and height (in that order). The dimension that an object occupies is dependent on how many different measurements, aka dimensions, an object has.
0th Dimension
The first dimension is actually the zeroth dimension. This dimension includes objects that do not have any measurements. A point does not have a length because it only occupies one spot on a plane.
The 0th dimension includes:
Point1st Dimension
The next dimension, the 1st dimension, has only length. This means the object can travel across the x-axis, but it can only go in one direction.
The 1st dimension includes:
LineSegementRay2nd Dimension
For this question, the last dimension is the 2nd dimension. The 2nd dimension has both length and width. This means that the object occupies both the x and y-axis.
The 2nd dimension includes:
TrianglePlane3rd Dimension
The 3rd dimension is not included in the question or the answer choices but is still important. The 3rd dimension has length, width, and height. This occupies the x, y, and z-axis and cannot be graphed on a regular geometric plane. The 3rd dimension is graphed in a geometric space.
The 3rd dimension includes:
CubePrismPlease help with this! I have to reflect over the x axis by the way
Answer:
T' = (-8, 8)
U' = (2, 8)
V' = (-8, 7)
Step-by-step explanation:
reflection over x axis means we change the sign of the y coordinate and nothing else
T = (-8, -8)
y coordinate = -8, change the sign to get 8
T' is thus (-8, 8)
U = (2, -8)
y coordinate = -8, y' = 8
U' = (2, 8)
V = (-8, -7)
y' = 7
V' = (-8, 7)
The area of a rectangle is 24 cm² and the perimeter is 22 cm .What is the lenth and width of this rectangle?
Step-by-step explanation:
length × width = 24
2×length + 2×width = 22
length + width = 11
length = 11 - width
this we use in the first equation again :
(11 - width) × width = 24
11×width - width² = 24
width² - 11×width + 24 = 0
the general solution to an quadratic equation :
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
x = width
a = 1
b = -11
c = 24
and so we get
width = (11 ± sqrt((-11)² - 4×1×24))/2×1) =
= (11 ± sqrt(11² - 96))/2 = (11 ± sqrt(121-96))/2 =
= (11 ± sqrt(25))/2 = (11 ± 5)/2
width1 = (11 + 5)/2 = 16/2 = 8 cm
width2 = (11 - 5)/2 = 6/2 = 3 cm
and teenaged to this is then
length1 = 11 - width1 = 11 - 8 = 3 cm
length2 = 11 - width2 = 11 - 3 = 8 cm
so, it is clear. one dimension has to be 8 cm, and the other one 3 cm. it does not matter which is which.
if mÃc=170° Find mLB
Answer:
∠ B = 85°
Step-by-step explanation:
the inscribed angle B is half the measure of its intercepted arc AC , then
∠ B = [tex]\frac{1}{2}[/tex] × 170° = 85°
Which statement about the graph of the quadratic function is NOT true?
Answer:
2nd option
Step-by-step explanation:
the graph has a minimum value of - 6 ( U ) not a maximum
Answer:
2nd option
Step-by-step explanation:
The graph has a minimum of -6, hence the 2nd option, which states the maximum is 3 is incorrect