Lukas is investing $16 000 that he would like to grow to at least $ 100 000 by the
time he retires in 50 years. What annual interest rate, compounded annually, will
provide this?
Answer:
$1,680 each year
Step-by-step explanation:
To answer this problem you first need to subtract 16,000 from 100,000 so 100,000-16,000=84,000. Then divide 84,000 by 50 which leaves you with the answer $1,680
What is the shape of the distribution shown below?
Answer:
Symmetric
Step-by-step explanation:
Left skewed is going up to the left
Right seemed the same but to the right
Uniform will be same level rectangular shape
It is positively skewed or we can say the data is right skewed so,
D. The distribution is right skewed.
What is skewness?Skewness is a metric for the asymmetry or distortion of symmetrical distribution in a set of data. When data points on a bell curve are not evenly distributed to the left and right sides of the median, this is known as skewness. The bell curve is referred described as being skewed if it is tilted to the left or right.
Skewness is a measure of the asymmetry of a distribution.
In the given data set, it is positively skewed or we can say the data is right skewed.
Generally, The normal distribution is symmetrical.
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May anyone please help?
Yes or in other words A
Zarah earns a weekly salary of $645 plus a commission of 6.5% on sales at the clothing store where she works. How much would she earn in one week if she sold $2,200 worth of merchandise? Zarah would earn $ _________ for that week.
Determine whether the ordered pair (-5,36) is a solution to the equation 2x- y/2 = -8
Helppppppppppppppppppppppppp
The amount a hardware store pays for buying nylon rope is represented by the equation y = 0.08x, where 'y' is the price it pays for 'x' feet of rope. The amount the hardware store charges for selling the rope is represented by the graph. Part A What does the slope of the graph show about the hardware store's selling price for the rope?
Answer:
0.025 $/in.
The store bought 300 ft of rope.
1 ft = 12 in.
300 ft * 12 in./ft = 3600 in.
The store bought 3600 inches of rope.
The store sells 40 inches of rope for $1.60. We can find the selling unit price of rope in dollars per inch.
($1.60)/(40 in.) = $0.04/in.
The store sells the rope at a price of $0.04 per inch.
The store sold all the rope at $0.04/in.
3600 in. * $0.04/in. = $144
The store sold all the rope for $144.
The profit was $54 for selling ll the rope.
$144 - $54 = $90
The bought the rope for $90.
The cost is dollars per inch is
($90)/(3600 in.) = 0.025 $/in.
Step-by-step explanation:
The slope tells for every one-foot increase in the amount of rope sold, the hardware store increases the selling price by $0.08.
The slope of the graph represents the rate of change between the hardware store's selling price (y-axis) and the quantity of nylon rope sold (x-axis).
In this case, the slope is given as 0.08.
Interpreting the slope:
A slope of 0.08 means that for each additional foot of nylon rope the hardware store sells (x increases by 1), the selling price (y) increases by $0.08.
This indicates a linear relationship between the quantity of rope sold and the selling price.
In other words, for every one-foot increase in the amount of rope sold, the hardware store increases the selling price by $0.08.
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Evaluate the function requested. Write your answer as a fraction in lowest terms. find cos B
Answer:
what? please give more details
Step-by-step explanation:
Answer: A
Step-by-step explanation:
see pictures
37x+26=42x+6
someone please help me solve this step by step
Step-by-step explanation:
37x+26=42x+6
x=4
If am wrong sorry
Answer:
x = 4
Step-by-step explanation:
1. Subtract 26 on both equation. (37+26−26=42+6−26)
2. Simplify and Subtract the numbers and repeat. (37=42−20)
3. Subtract 42x on both equation. (37−42=42−20−42)
4. Put together (simplify). (−5=−20)
5. Now divided with -5x. ( −5/−5=−20/−5)
6. Get your answer! (=x4)
~~~Hope this helps~~~
A go cart designer wants to build a Go Cart that measures 4 feet in height, 6 feet in width and 8 feet in length. He needs to construct a three - dimensional model of the Go Cart. Which measurements are appropriate for the scale model? a. 2 feet wide, 5 feet long and 2 feet high b. 3 feet wide, 4 feet long and 2 feet high c. 2.5 feet wide, 2 feet long, and 1.5 feet high d. 6 feet wide, 5 feet long and 3 feet high
Answer:
The correct answer is:
3 feet wide, 4 feet long, and 2 feet high (b)
Step-by-step explanation:
The appropriate scale for the model must be equivalent to the scale of the actual design. This means that the variation must be of the same magnitude in the length, height, and width.
Cart design = 4 feet high; 6 feet wide; 8 feet long
Cart design = 4H : 6W : 8L
where H, W, and L are height, width, and length respectively.
since the model of the Go Cart will be lesser than the actual Cart, let us divide the original cart design by the model designs given in the option, anyone that gives us a consistent variation is a right scale. This is done as follows:
a) Model design = 2H : 2W : 5L
dividing the original dimension by the model:
[tex]\frac{4H}{2H} : \frac{6W}{2W} : \frac{8L}{5L} \\= 2 : 3 : 1.6\\[/tex]
since the variations are not the same, this is the wrong model.
b) Model design = 2H : 3W : 4L
[tex]\frac{4H}{2H} : \frac{6W}{3W} : \frac{8L}{4L} \\= 2 : 2 : 2\\[/tex]
variation is the same across the three dimensions, hence this is the right model.
You can go ahead to use the same principle to do the third model, to see what you will get.
Rani bought 3 shirts for $9 each. Which equation can be used to find the total cost of the shirts, c?
Answer:
3(9) =c
Step-by-step explanation:
Answer:
3(c)=total cost
Step-by-step explanation:
If 3 shirts = $9
then 1 shirt = $3
c shirts= $3(c)
45t-60(t-[tex]A) 45t-60(t-\frac{1}{2}=1\\B) 45t+60(t-\frac{1}{2}=1\\C) 45t=60(t-\frac{1}{2}\\\\D) 45t-60t=1\frac{1}{2} \\[/tex]
Answer:
c
Step-by-step explanation:
A line passes through (2, −1) with slope 3. What is the equation of the line in slope-intercept form? A. y=3x+5 B. y=3x−7 C. y=13x+5 D. y=−13x
Answer:
B
Step-by-step explanation:
y=3x+a
3*2+a=-1
a=-7
Find the length of the segment AB
-4 to 2
The length is I (Type an integer or a decimal.)
Answer:
The length of AB is positive 6
describe fully the single transformation which takes shape A to shape B
Answer:
You need to show us the shapes first bro
Step-by-step explanation:
Laurie wants to put a portable cellular phone mini-tower on her roof. the tower cannot be placed higher than 30 feet. the slant of the roof can be represented by the equation r(x)=-1/4|x|+60. If her house is 40 feet wide where could she place the tower? Explain
Answer:
on the ground
Step-by-step explanation:
Please help me with this and explain how you got the answer. :)
Answer:
8 1/4
Step-by-step explanation:
6 3/5 ÷ 0.8
6 3/5 = 33/5
0.8 = 8/10
6 3/5 ÷ 0.8
= 33/5 ÷ 8/10
= 33/5 * 10/8 ( Because multiplication and division are inverse operations)
= 33/4
= 8 1/4
=
who can solve 3|2y-4|-7=17
Answer:
no, i cant solve it in paper but i can in my brain
Step-by-step explanation:
can you plz answer this for me its graded
Answer:
Kaylynn=$270
Amanda=$250
Step-by-step explanation:
Kaylynn=8.25x32.5=268.125 but since its estimated we round it up to 270.
Amanda=8.75x28.5=249.375 but since its estimated we round up to 250.
Plot the points (-6,8) and (0,8) on the coordinate plane below.
What is the distance between these two points?
units
The points (-6,8) and (0,8) are coordinate points, and the distance between the points (-6,8) and (0,8) is 6 units
The distance between the two pointsThe points are given as:
A = (-6,8)
B = (0,8)
The distance between the points is calculated using:
[tex]d= \sqrt{(x_2 - x_1)^2 + (y_2 -y_1)^2}[/tex]
So, we have:
[tex]d= \sqrt{(-6 - 0)^2 + (8 -8)^2}[/tex]
Evaluate
d = 6
Hence, the distance between the points (-6,8) and (0,8) is 6 units
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Neil's bank offered him a 4.95% interest rate for his mortgage. If he
purchases 3 points, what will his new rate be?
O A. 0.375%
O B. 4.575%
C. 1.75%
O D. 4.375%
Neil's new interest rate after purchasing 3 points would be 7. 95%. The closest option is B. 4.575%.
How to calculate the interest rate?To calculate the new interest rate after purchasing points, we need to know the cost of one point and the number of points purchased.
One point typically costs 1% of the mortgage amount, so three points would cost 3% of the mortgage amount. The cost of the points is usually paid upfront at closing.
Assuming Neil's mortgage amount is $100,000, the cost of 3 points would be:
3% x $100,000 = $3,000
To calculate the new interest rate, we need to add the cost of the points to the original interest rate and then recalculate it as a percentage:
New rate = Original rate + (Cost of points / Mortgage amount)
New rate = 4.95% + ($3,000 / $100,000)
New rate = 4.95% + 3%
New rate = 7.95%
So, Neil's new interest rate after purchasing 3 points would be 7. 95%. The closest option is B. 4.575%.
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Prove that quadrilateral Q(1, 2), U(2, 5), A(5, 7) and D(4, 4) is a parallelogram by using slopes.
Slope of QU =
Slope of AD =
Slope of UA =
Slope of QD =
Which sides are parallel (give the letters) A) sides QU and AD B) sides QU and UA C) sides UA and QD D) sides AD and QD
Answer:
[tex]m = 3[/tex] ---- Slopes of QU and AD
[tex]m =\frac{2}{3}[/tex] ---- Slopes of UA and QD
Sides QU and AD have the same slope
Sides UA and QD have the same slope
Step-by-step explanation:
Given
[tex]Q = (1, 2)[/tex]
[tex]U = (2, 5)[/tex]
[tex]A = (5, 7)[/tex]
[tex]D = (4, 4)[/tex]
Solving (a): Slope of QU
[tex]Q = (x_1,y_1)= (1, 2)[/tex]
[tex]U = (x_2,y_2)= (2, 5)[/tex]
Slope, m is calculated as:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m =\frac{5-2}{2-1}[/tex]
[tex]m =\frac{3}{1}[/tex]
[tex]m = 3[/tex]
Slope of AD
[tex]A =(x_1,y_1) = (5, 7)[/tex]
[tex]D = (x_2,y_2) = (4, 4)[/tex]
Slope, m is calculated as:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m =\frac{4-7}{4-5}[/tex]
[tex]m =\frac{-3}{-1}[/tex]
[tex]m = 3[/tex]
Slope of UA
[tex]A =(x_1,y_1) = (5, 7)[/tex]
[tex]U = (x_2,y_2)= (2, 5)[/tex]
Slope, m is calculated as:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m =\frac{5-7}{2-5}[/tex]
[tex]m =\frac{-2}{-3}[/tex]
[tex]m =\frac{2}{3}[/tex]
Slope of QD
[tex]Q = (x_1,y_1)= (1, 2)[/tex]
[tex]D = (x_2,y_2) = (4, 4)[/tex]
Slope, m is calculated as:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m =\frac{4-2}{4-1}[/tex]
[tex]m =\frac{2}{3}[/tex]
Solving (b): Parallel Sides
Two sides are said to be parallel if they have the same slope.
The slope were calculated in (a) above and from there, we have the following observations
1. QU and AD have the same slope of 3
2. UA and QD have the same slope of 2/3
Need help fast!! Please help
Answer:
I am pretty sure it is 10.5
Step-by-step explanation:
Answer:
10.5
Step-by-step explanation:
your equation: DT = DH + HT
HT = 2DH
so now your equation is DT = DH + 2DH
plug in your values: 3.5 + 2(3.5)
you get DH = 10.5
can someone help me please
Answer:
greg
Step-by-step explanation:
heffly is a sociopath. he shall burn in the gates of hell
PLEASE NO FAKES!! its Friday :(
A.location of comets
B.geocentric star system
C.heliocentric solar system
D.galaxy that is nearest to Earth
This isnt reallt=y math but people is really good at math soooo
Answer:
C.heliocentric solar system
Heliocentrism is the astronomical model in which the Earth and planets revolve around the Sun at the center of the Universe.
Answer:
Your answer is C.
Hope This Helps!
Rachel's school play started at 9:20 AM.
It lasted 2 hours and 10 minutes.
What time did the play end?
Answer:
11:30
learn how to count you bozo
I am unable to understand how to solve this question, please send the working out.
Answer:
[tex](9x)^{\frac{1}{2} }.(8x^{\frac{-1}{2} })^{\frac{1}{3} }\\\\=9^{1/2}.x^{1/2}.8^{1/3}.x^{-1/2.1/3} \\\\=3.2.x^{1/2}.x^{-1/6} \\\\\\=6.x^{1/2-1/6}\\\\=6x^{1/3}[/tex]
Step-by-step explanation:
insert parenthesis in the following problem to make it true.
7 – 2 x 2 – 1 = 9
help me!!!
Answer:
(7-2) x 2 -1 = 9
Step-by-step explanation:
(7-2) = 5 x 2 =10 -1 = 9
Based on the graph, which inequality is correct for a number that is to the right of -3?
A number line is shown from negative 8 to 8 at increments of 1. A circle is shown at negative 3. The entire portion of the number line to the right of negative 3 is shaded.
4 > −3
−3 > 4
−2 < −3
−3 < −6
Answer:
4>-3
Step-by-step explanation:
-3 is a negative number. Negative numbers are less than positive numbers. In this inequality the positive number is being shown as greater than, meaning it is the correct choice.
Step-by-step explanation:
4>-3
Look at the picture 10 points.
Answer:
-7
-3
28
-3
-6
-20
-6
-42
6
15
