Answer:
$38,640.00
Step-by-step explanation:
We know that Catrina earns $19.32 an hour. We also know she works 40 hours a week. So first, let's multiply 19.32 by 40 to see how much she makes a week.
19.32 × 40 = 772.80
Because of this, we now know that Catrina makes $772.80 a week. There are 52 weeks in a year. However, since she takes 2 weeks of vacation, we need to take off 2 weeks in the year. This leaves us with 50.
Finally, we multiply 772.80 and 50 to find her annual earnings:
772.80 × 50 = 38640
Therefore, her annual earnings will be $38,640.00.
Tell whether the lines through the given points are parallel, perpendicular, or neither.
Line 1: (10,5), (-8, 9)
Line 2: (2, - 4), (11, - 6)
The slope of line 1 is.
The slope of line 2 is.
The two lines are...
use
[tex]y - y_{1} = \frac{ y_{2} - y_{1}}{x_{2} - x_{1}} \times (x_{2} - x_{1})[/tex]
slope is
[tex]m = \frac{ y_{2} - y_{1}}{x_{2} - x_{1}} \\[/tex]
[tex]if \: \: m_{1} = m_{2} \: \: lines \: are \: parallel \\ [/tex]
[tex]if\:m_{1} = - \frac{1}{m_{2}} \\ lines \: are \: perpendicular \: to \: each \: other[/tex]
Parallel lines have the same slope
The slope of line 1 is -2/9The slope of line 2 is -2/9The two lines are parallelThe slope of a line is calculated as:
[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]
The slope of line 1 is:
[tex]\mathbf{m_1 = \frac{9 - 5}{-8 - 10}}[/tex]
[tex]\mathbf{m_1 = \frac{4}{-18}}[/tex]
[tex]\mathbf{m_1 = -\frac{2}{9}}[/tex]
Hence, the slope of line 1 is -2/9
The slope of line 2 is:
[tex]\mathbf{m_2 = \frac{-6 - -4}{11 - 2}}[/tex]
[tex]\mathbf{m_2 = \frac{-2}{9}}[/tex]
[tex]\mathbf{m_2 = -\frac{2}{9}}[/tex]
Hence, the slope of line 2 is -2/9
The lines have the same slope.
Hence, the two lines are parallel
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Ahmed thinks: "√16 = 4 so √160 = 40" he is incorrect.
a. show that √160 is between 12 and thirteen is answered. the answer is 12.649110641.
b. write down the number of which 40 is the square root. this is what i want you guys to do please
Answer:
1600
Step-by-step explanation:
40 × 40 = 4 × 4 × 100 = 16 × 100 = 1600
(same amount of zeros behind the 1 as there are in the 40's together)
Dina just accepted a new job. She expects to earn about $135 a week during the 34-week
school year and $450 a week during the remainder of the year. How much should Dina
earn next year?
if given f(x)=2x+5 what is f(4)
Answer:
13
Step-by-step explanation:
f(4) means you plug in 4 for x so 2(4) + 5 = 8 +5 = 13
Answer: 13
Step-by-step explanation:
Plug 4 into the position of x in your equation and solve.
Geometry math question help please look at the attachment. :)
Answer:
x=20
Step-by-step explanation:
2x + 20 = 3x
-2x -2x
20 = x
Set up a system of linear equations to represent the scenario. Solve the system by using Gaussian elimination or Gauss-Jordan elimination. Assume the interest rates are annual. Latoya borrowed $19,500 to buy a truck for her business. She borrowed from her parents who charge her 5% simple interest. She borrowed from a credit union that charges 4% simple interest, and she borrowed from a bank that charges 3% simple interest. She borrowed four times as much from her parents as from the bank, and the amount of interest she paid at the end of 1 yr was $870. How much did she borrow from each source
Answer:
p = $12,000
c = $4,500
b = $3,000
Step-by-step explanation:
Denote the variables as follows:
p = amount borrowed from parents
c = amount borrowed from the credit union
b = amount borrowed from the bank
The equations that can be formed using the given information are as follows:
p + c + b = 19500... (i)
p = 4b... (ii)
The formula to compute simple interest is:
SI = P × (R/100) × T
So, the equation for the total interest paid at the end of 1 year is:
0.05p + 0.04c + 0.03b = 870
5p + 4c + 3b = 87000... (iii)
Substitute (ii) in (i) and (iii) and simplify as follows:
4b + c + b = 19500
⇒ c + 5b = 19500... (iv)
5(4b) + 4c + 3b = 87000
⇒ 4c + 23b = 87000... (v)
Subtract (iv) from (v):
4c + 23b = 87000
(-)c + (-)5b = (-)19500 ] × 4
⇒
4c + 23b = 87000
-4c - 20b = -78000
⇒
3b = 9000
b = 3000
Compute the value of p as follows:
p = 4b = 4 × 3000 = 12000
p = 12000
Compute the value of c as follows:
p + c + b = 19500
12000 + c + 3000 = 19500
c + 15000 = 19500
c = 4500
Thus, the amount borrowed from each source is:
p = $12,000
c = $4,500
b = $3,000
Three towns are linked by three straight roads. Loretta Adman has created a three-sided billboard that she wants to position as close as possible to all three roads. To do this, she needs to find the ____ of the triangle formed by the three roads.
Answer Choices:
Center
Incenter
Circumcenter
Answer:
c
Step-by-step explanation:
Loretta Adman needs to find the center of the triangle formed by the three roads.
What is Center, Incenter and Circumcenter of the triangle?
Incenter I, whose point is equidistant from the triangle's sides, and circumcenter O, whose point is equidistant from each of the triangle's vertices. A triangle center is a point in the plane that resembles the centers of squares and circles in some ways, meaning that it is roughly in the centers of the figure.
Given: Three towns are linked by three straight roads.
Loretta Adman has created a three-sided billboard that she wants to position as close as possible to all three roads.
The center is in the middle of the figure by some measure.
Therefore, Loretta Adman needs to find the center of the triangle formed by the three roads.
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Use the model to help you find the product.
1
2
3
×
1
3
A model represents 1 and two-thirds.
Each big square is cut into 3 parts to represent multiplying by one-third.
The number of small shaded squares in the circled parts of each big square is the numerator of the product.
The total number of small squares in a single big square represents the denominator of the product.
The product is .
Help ASAP please
Answer:
5/9
Step-by-step explanation:
Susan paid for 6 shirts to be delivered.
Each shirt cost $15.00.
Susan paid $9.99 for delivery.
What is the total amount that Susan Paid?
Answer:
$99.99
Step-by-step explanation:
6 x 15 = 90
+ 9.99
If one angle of a set of vertical angles measures 63°, the sum of the vertical angles is °?
Answer:
126
Step-by-step explanation:
the answer is 126 degrees, °
give a verbal description of (7, ∞)
Find the slope of the line that passes through
the two given points: (2, 3) and (6, -13)
Answer:
-4
Step-by-step explanation:
-13-3=-16
6-2=4
-16/4=-4
Step-by-step explanation:
Hey there!
The points are; (2,3) as (X1,y1) and (6,-13) as (x2,y2)
Use the formula for slope.
[tex]slope(m) = \frac{y2 - y1}{x2 - x1} [/tex]
Put all values.
[tex]m = \frac{ - 13 - 3}{6 - 2} [/tex]
Simplify it to get answer.
[tex]m = \frac{ - 16}{4} [/tex]
Therefore, slope(m) = -4.
Hope it helps....
can someone help me
Answer:
The volume is 75
Step-by-step explanation:
because the volume is the width, length, and height, add them together.
Answer:
2700m
Step-by-step explanation:
you have to do L*W*H for both shapes then add
Prime numbers have...
Less than two factors
More than two factors
Exactly two factors
Less than or equal to two factors
Answer:
(Exactly two factors)
Answer:(C) Exactly two factors
Step-by-step explanation:(C) Exactly two factors
Johnny was able to drive an average of 27 miles per hour faster in his car after the traffic
cleared. He drove 25 miles in traffic before it cleared and then drove another 104 miles. If the
total trip took 3 hours, then what was his average speed in traffic?
Answer: 40 mph
Step-by-step explanation: let s = speed in traffic
(s+17) = out of traffic
:
Write a time equation; time = dist/speed
traffic time + normal speed time = 4 hrs
46%2Fs + 80%2F%28%28s%2B17%29%29 = 4
multiply by s(s+17) to cancel the denominators
46(s+17) + 80s = 4s(s+17)
46s + 782 + 80s = 4s^2 + 68s
126s + 782 = 4s^2 + 68s
Arrange as a quadratic equation on the right
2s^2 - 29s - 391 = 0
Use the quadratic formula a=2; b=-29; c=-391
I got a positive solution of
s = 23 mph in traffic
:
:
:
Check this by finding the actual times. Normal speed: 23 + 17 = 40 mph
46/23 = 2 hrs in traffic
80/40 = 2 hrs at normal speed
----------------------------
total time 4 hrs
0 = 4s^2 + 68s - 126s - 782
4s^2 - 58s - 782 = 0
simplify, divide by 2
so the answer is 40mph
Solve the following equation for A. Be sure to take into account whether a letter is capitalized or not. b=f^2A+2HA
Answer:
A = [tex]\frac{b}{f^2+2H}[/tex]
Step-by-step explanation:
Given equation is,
b = f²A + 2HA
To solve this equation for the value of A we will isolate A in one side of the equation.
b = A(f² + 2H)
By dividing the equation by (f² + 2H) on both the sides of the equation.
[tex]\frac{b}{f^2+2H}=\frac{A(f^2+2H}{(f^2+2H)}[/tex]
A = [tex]\frac{b}{f^2+2H}[/tex]
Therefore, answer will be A = [tex]\frac{b}{f^2+2H}[/tex]
Describe a transformation that would make quadrilateral ABCD into a square
I NEED URGENT HELP PLEASE
Answer:
ok, relax and listen I’ve got this ok?
Step-by-step explanation:
You just move it up 4 squares to (2, 9), (10,9)
see?you got this I believe in you!!!
HELP ME PLEASE!!!!!!!!
Answer:
sure with what
Step-by-step explanation:
The 3 in the 73.084 _ times the 3 in 65.732.
Answer:
it would be 3.0 times 0.03 so the answer is 0.9
types of quadratic equation
Answer:
1) Standard form: y = ax2 + bx + c where the a,b, and c are just numbers.
2) Factored form: y = (ax + c)(bx + d) again the a,b,c, and d are just numbers.
3) Vertex form: y = a(x + b)2 + c again the a, b, and c are just numbers.
A computer can perform 4.66 x 10^8 calculations per second, what is the performance of the computer in one minute?
any help is appreciated!!
Answer:
4.66 x 10^9
Step-by-step explanation:
The performance of the computer in one minute is 2.70x10¹⁰ per minute after performing unit conversion.
What is unit conversion?It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.
It is given that:
A computer can perform 4.66 x 10⁸ calculations per second,
As we know,
1 minute = 60 seconds
1 second = 1/60 minutes
The performance of the computer in one minute = 4.66 x 10⁸(1/(1/60))
The performance of the computer in one minute = 4.66x60x 10⁸
The performance of the computer in one minute = 279.6x10⁸
= 2.70x10¹⁰ per minute
Thus, the performance of the computer in one minute is 2.70x10¹⁰ per minute after performing unit conversion.
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What proportion of these motors will last somewhere between 8 and 11 years
Answer: What Proportion Of These Motors Will Last Somewhere Between 8 And 11 Years? 2. What's The Probability That A Randomly Selected Motor Will Last More
the number of standard deviations a value is from the mean ... Suppose X ~ N(8, 1). ... Find the probability that a CD player will last between 2.8 and six years. a. ... A child who weighs 11 kg is one standard deviation above the mean of 10.2 kg. b. ... There is about a 68% chance that the number of heads will be somewhere.
convert 3250 ml to L
Answer:
3250 milliliters transfers into 3.25 liters.
According to the distributive property, 6(5 + 3) =
Answer:
48
Step-by-step explanation:
1. Utilice la función y=0.17% - 3.0 para encontrar lo siguiente.
a) Estime la pendiente de la recta tangente a la curva, donde x = 0,1,2,3.
Pendiente de la recta
Х
tangente
-1
O
1
3
b) ¿en qué intervalos aumenta la función? ¿En qué intervalos está disminuyendo?
c) ¿En qué intervalo o intervalos es positiva la pendiente de la recta tangente? ¿E
intervalo o intervalos es negativa la pendiente de la recta tangente? ¿Cuál es la c
estas preguntas y la parte (b)
c) ¿Dónde parece que la pendiente de la recta tangente es cero? ¿Qué propiedad
gráfica ocurren en estos puntos?
d) ¿Dónde parece la línea tangente aproximarse mejor a la curva? ¿Lo peor? ¿Qu
del gráfico parecen hacer que sea así?
you have a blender mixed with raspberries,blueberries,ice, and water.Which of the following will NOT change when mixed together?
Answer: actually the mass
Step-by-step explanation: regardless on where you are the mass never change, it's the wait within a substance or a matter
A friend of yours was interested in computing a confidence interval for the mean student debt accumulated by NC State graduates during their undergraduate education. They collected a random sample of 40 students, and asked each how much student debt they had; all responded and responded honestly. A histogram of the data indicated it was normally distributed. They computed a 95% confidence interval of ($36,400, $41,650). However, they were unsatisfied with the margin of error, wanting a more precise interval. Referring to their ST 311 notes, they noted that in order to reduce the margin of error by half, they needed to increase their sample size by a factor of 4. So, they collected another random sample of 160 students and found another 95% confidence interval, which was much narrower, having a margin of error of $1,318. They are satisfied with the precision of the confidence interval, but are a little confused : it’s not quite half the original margin of error. Explain why the margin of error wasn’t quite reduced by a factor of 0.5. Be specific.
Answer:
Explained below.
Step-by-step explanation:
The (1 - α)% confidence interval for the population mean is:
[tex]CI=\bar x\pm z_{\alpha/2}\times\frac{\sigma}{\sqrt{n}}[/tex]
The margin of error for this interval is:
[tex]MOE= z_{\alpha/2}\times\frac{\sigma}{\sqrt{n}}[/tex]
The factors affecting the MOE are:
The sample size (n) is inversely proportional to the MOE, thus increasing n decreases the MOE and vice-versa. Variance (σ²) is the square of S.D. So if we increase σ² then σ increases. Since σ is directly proportional to MOE, increasing σ increases MOE. The confidence level is the value of (1 – α). If we increase the confidence level then the critical value increases and thus MOE also increases.Since the population standard deviation is not provided it is obvious the sample standard deviation is used to estimate the value of σ.
On increasing the value of σ the MOE will also increase.
As the sample size is inversely proportional, increasing the sample size by a factor of 4 will reduce the margin of error by half. But since σ is also increasing there are two factors affecting the MOE together.
Therefore reducing the MOE by more than half the original value.
A pallet full of soda contains 40 12-packs. The pallet itself weighs about 25 lbs and with
the pop weighs 410 lbs. How much does a can of pop weigh?
Answer:
0.802 lbs or 12.8 ounces(British).
Step-by-step explanation:
Weight of the pop = 410 - 25 = 385 lbs.
40 12-packs contains 40*12 = 480 cans,
So the weight of one can = 385 / 480
= 0.802 lbs
or about 12.8 ounces(British).
Side Length
(inches)
Perimeter
(inches)
0.5
2
7
?
20
Answer: The missing side is 10.5 inches
Step-by-step explanation:
Add the side lengths you know 0.5+2+ 7= 9.5
Subtract that from 20 20- 9.5 = 10.5
Don't forget to include the unit length,inches.
Nate’s mom bought 4 boxes of crackers for $2.59 each. About how much
did she pay for the crackers?
Answer:
$10.36
Step-by-step explanation:
To answer this question, all you have to do is multiply:
4 * 2.59 = 10.36
So, Nate's mom spent $10.36 on crackers.
Hope this helps :)
Answer:
Nate's mom spent $10.36 on crackers.
Step-by-step explanation:
