Answer:
$ 53,333.33
Step-by-step explanation:
The formula for simple interest is I = PRT. So, we are trying to solve for P(original investment). To do this, we get the formula P = I / RT. This is the formula we will be using.
Work:
First, converting R percent to r a decimalr = R/100 = 5%/100 = 0.05 per year,putting time into years for simplicity,18 months ÷ 12 months/year = 1.5 years,then, solving our equation
P = 4000 / ( 0.05 × 1.5 ) = 53333.333333333
P = $ 53,333.33
Add 3/4 + (−2 1/2) using the number line.
Select the location on the number line to plot the sum.
Answer:
Heyyy!!!!
Alrighty... here it goes....
Step-by-step explanation:
3/4 + (-2 1/2)
okay... the first thing you have to do is convert 1/2 into fourths. that'll make it way easier to solve..... like way easier.....
then rewrite the expression to get 3/4 + (-2 2/4)
now we know that + - = -
basically you subtract since adding a negative makes you subtract...
3/4 - 2 2/4 gives you - 1 3/4
all you have to do is plot that on the number line and you should be good to go
What is the median of this data set?
{16, 16, 16, 19, 20, 22, 23, 24, 24}
Answer:
The median is 20
Step-by-step explanation:
They are already in order so you would just have to find the middle.......
Hope this helps.......if not then sorry for wasting your time and may God bless you
Kay cut a cheese stick into
sixths and ate a sixth. Jake
cut a cheese stick into thirds
and ate a third. Which child
ate less cheese?
Answer:
Jake
Step-by-step explanation:
The dot plot shows the number of hours, to the nearest
hour, that a sample of 5th- and 7th-grade students
spend watching television each week. How do the
medians compare?
The 5th-grade range is
The 7th-grade range is
The ratio of variation of 5th grade to 7th grade is
Answer:
6 medians.
Step-by-step explanation:
because the medians of 5 and 7 is 6.
Wendy’s Big Bacon Classic contains how many calories after calculating the
nutrients below?
44 grams Carbohydrate= _____ Calories
36 Grams of Fat= ______ Calories
37 Grams of Protein= _____Calories
explain please thanks
Answer:
44 grams carbohydrates = 176 calories
36 gram of fat = 324 calories
37 gram of protien = 148 calories
44 grams of Carbohydrates = 176 calories
36 grams of Fat = 324 calories
37 grams of Protein = 148 calories
To calculate the number of calories from each macronutrient (carbohydrates, fat, and protein), you need to know the caloric content per gram for each nutrient.
The caloric content per gram is as follows:
- Carbohydrates: 1 gram = 4 calories
- Fat: 1 gram = 9 calories
- Protein: 1 gram = 4 calories
Now, let's calculate the number of calories for each macronutrient in the Wendy's Big Bacon Classic:
1. Carbohydrates:
Calories from Carbohydrates = 44 grams × 4 calories/gram
Calories from Carbohydrates = 176 calories
2. Fat:
Calories from Fat = 36 grams × 9 calories/gram
Calories from Fat = 324 calories
3. Protein:
Calories from Protein = 37 grams × 4 calories/gram
Calories from Protein = 148 calories
In total, the burger would have 176 + 324 + 148 = 648 calories.
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Marci needs to rent a storage. She needs to determine the volume of the storage unit. If the storage unit is 8 feet high, what is the volume of the storage unit
I need help I am stuck
Answer:
1. 2x^4(5 − x)
3. 7y^5(2y^4 − 3y+4)
5. −3(a^4 − 3a^2 + 4)
Answer:
The explanation is in the image
Step-by-step explanation:
Look for a number or alphabet that all the terms given have in common.
PLEASE HELP ILL MARK BRAINLIEST kellys farm has 8 chickens for every 3 cows and 2 pigs for every 5 cows. if kellys farm has 30 pigs how many chickens are on the farm
Answer:
Step-by-step explanation:
I Find the missing measurement:
40 mi/1 min = ? mi/1 hr
Answer:
2400mi/1 hr is the
answer
Answer:
2400 miles / per hour
Step-by-step explanation:
40 mi X
______ _______________
1 minute = 1 hr ( 60 minutes)
multiply 1 minute on bottom by 60 to get 60 minutes
so multiply the top by 60 (always do same to top and bottom)
40 mi. x 60 = 2400 miles
Which type of question is most useful in a group discussion?
A. Closed questions
B. Open questions
C. Multiple choice questions
D. Written responses
Answer:
B
Step-by-step explanation:
it is B I am so sorry if it is wrong
What is the surface area of the cylinder with height 4 km and radius 5 km? Round
your answer to the nearest thousandth.
[tex]\textit{surface area of a cylinder}\\\\ SA=2\pi r(h+r)~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ h=4\\ r=5 \end{cases}\implies \begin{array}{llll} SA=2\pi (5)(4+5)\implies SA=10\pi (9) \\\\\\ SA=90\pi \implies SA\approx 282.743~km^2 \end{array}[/tex]
Solve for x. Round to the nearest tenth of a degree, if necessary.
what is the area of this ?
It costs $3.99 for 32 fl. oz. of soda. What is the unit rate?
Your answer
WILL GIVE BRAINLIEST 50 POINTS
∆ABC is mapped to ∆A'B'C' using each of the given rules in the table below. Place a checkmark in the correct column for each mapping to state if the resulting mapping would make ∆ABC congruent or not congruent to ∆A'B'C'.
∆ABC is congruent to ∆A^' B^' C'
∆ABC is NOT congruent to ∆A^' B^' C'
(x,y) → (x+5,y)
(x,y) → (5x,5y)
(x,y) → (.5x,.5y)
(x,y) → (x,-y)
(x,y) → (-x,-y)
Answer:
(x+5,y) = Yes
(5x,5y) = No
(.5x,.5y) = No
(x,-y) Yes
(-x,-y) Yes
Step-by-step explanation:
Express 29 l 360 ml into ml.
Answer:
569 millimetres because 290 +36 ml is 569
Determine the quadrant. I'm doing a final exam and I can't remember how to do this, pls help :)
Answer:
C
Step-by-step explanation:
In the unit circle
cos x corresponds with x
sin x corresponds with y.
Here, they are both negative so the angles lies in the third quadrant because both x and y is negative in the third quadrant
Step-by-step explanation:
the other answer we is correct.
here a few words about why :
the quadrants in a circle start in the right top corner. so, right top is number I.
left top is number II.
left bottom is number III.
right bottom is number IV.
simply because this goes with the growing angle. the angle starts at 0° at the right center. and then it grows counterclockwise and goes all around the circle until reaching 360° being equal to 0° again.
Use the net to find the surface area of the regular pyramid.
A net includes four equilateral triangles. One triangle is shaded and it is a base. Each unshaded triangle shares a side with the shaded triangle. The shaded triangle has a side edge of 10 millimeters and area of base is 43.3 squared millimeters. The height of each unshaded triangle is 9 millimeters.
mm2
Answer: The surface area is 173.2 mm²
Step-by-step explanation: If the four triangles are equilateral and one of the sides is 10 then all the other sides must be 10 as well, meaning that the surface area of each triangle is 43.3 mm². That means that to find the surface area of the whole pyramid you must multiply 43.3 by 4 because there are 4 separate triangles.
43.3 × 4 = 173.2
a line passes through the point (-4,8) and a slope of 5/4. write an equation in slope-intercept form for this line.
Answer:
8=5/4*-4+(b)
b=3
hence
y=(5/4)x+3
What is the equation of the line that is perpendicular to -x+y=7 and passes through (-1,-1)?
a.-x+y=2
b.-x-y=2
c.x-y=2
d.-x-y=0
e. x+y=0
Answer:
[tex]-x - y = 2[/tex].
Step-by-step explanation:
If the slope of a line in a plane is [tex]m[/tex] and the [tex]y[/tex]-intercept of that line is [tex]b[/tex], the slope-intercept equation of that line would be [tex]y = m\, x + b[/tex].
Rearrange the equation of the given line [tex]-x + y = 7[/tex] in the slope-intercept form to find the slope of this line:
[tex]-x + y = 7[/tex].
[tex]x -x + y = x + 7[/tex].
[tex]y = x + 7[/tex].
Notice that in the slope-intercept equation of this given line, the coefficient of [tex]x[/tex] is [tex]1[/tex]. Thus, the slope of the given line would be [tex]m_{1} = 1[/tex].
Two lines in a plane are perpendicular to one another if the product of their slopes is [tex](-1)[/tex]. In other words, if [tex]m_{1}[/tex] and [tex]m_{2}[/tex] are the slopes of two lines perpendicular to each other, then [tex]m_{1}\, m_{2} = (-1)[/tex].
Since [tex]m_{1} = 1[/tex] for the given line, the slope of the line perpendicular to this given line would be:
[tex]m_{2} = (-1) / m_{1} = (-1) / 1 = -1[/tex].
If the slope of a line in a plane is [tex]m[/tex], and that line goes through the point [tex](x_{0},\, y_{0})[/tex], the equation of that line in point-slope form would be:
[tex]y - y_{0} = m\, (x - x_{0})[/tex].
The slope of the line in question is [tex]m = (-1)[/tex]. It is given that this line goes through the point [tex](-1,\, -1)[/tex], where [tex]x_{0} = (-1)[/tex] and [tex]y_{0} = (-1)[/tex]. Thus, the equation of this line in point-slope form would be:
[tex]y - y_{0} = m\, (x - x_{0})[/tex].
[tex]y - (-1) = (-1)\, (x - (-1))[/tex].
[tex]y + 1 = -(x + 1)[/tex].
Rearrange this equation to match the format of the choices:
[tex]y + 1 = -x - 1[/tex].
[tex]x + y = -2[/tex].
[tex]-x - y = 2[/tex].
100 POINTS!!! VERY URGENT
Answer:
D) (f o g)(x) = 10x² - 60x + 93
Step-by-step explanation:
f(x) = 10x² + 3
g(x) = x - 3
⇒ (f o g)(x)
⇒ f(x - 3)
⇒ f(x - 3) = 10(x - 3)² + 3
⇒ f(x - 3) = 10(x² - 6x + 9) + 3
⇒ f(x - 3) = 10x² - 60x + 90 + 3
⇒ (f o g)(x) = 10x² - 60x + 93
Answer:
[tex]\textsf{D)} \quad (f \circ g)(x)=10x^2-60x+93[/tex]
Step-by-step explanation:
[tex]\textsf{If }\:f(x)=10x^2+3\:\textsf{ and }\:g(x)=x-3\:\textsf{ then}:[/tex]
[tex]\begin{aligned}(f \circ g)(x) & = f[g(x)]\\ & = f(x-3)\\& = 10(x-3)^2+3\\& = 10(x^2-6x+9)+3\\& = 10x^2-60x+90+3\\& = 10x^2-60x+93\\\end{aligned}[/tex]
You accidentally dropped a coin from the top of 12 stairs. What is the probability that it will land on the fifth step heads up?
This is a probability question! I need help ASAP
Answer:
The answer is 1/24
Step-by-step explanation:
1stepout of the 12 is the 5th so 1/12 and divid by 2 because you want it to land on heads.
Help me solve this please?
The surface area of the triangular prism is 330 centimetres cube.
How to find the surface area of a triangular prism?surface area of a triangular prism = (a + b + c) l + 2(base area)
where
a, b and c are the sides of the basel = height of the prismHence,
surface area = (5 + 12 + 13)9 + 5 × 12
surface area = 30(9) + 60
surface area = 270 + 60
surface area = 330 cm³
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4) The radius of a circle is 3 meters. What is the circle's circumference?
r=3 m
Answer:
The circumstances of the circle is six
Step-by-step explanation:
3×2=2
a bottle contains 2 1/2 cups of apple juice a serving of apple juice is 1/2 cup how many servings does the bottle contain
By applying aritmethics and concept of capacity we conclude that the bottle containing 2 1/2 cups of apple juice contains 5 servings containing 1/2 cups each.
How to determine the quantity of servings from a bottle
In this question we are dealing with capacities, capacities are an application of volumes. A bottle contains a capacity equivalent to a given quantity of cups. The number of cups is found by dividing the capacity of a bottle by the capacity of a serving:
[tex]x = \frac{\frac{5}{2}\,cups}{\frac{1}{2}\,cups }[/tex]
x = 5
By applying aritmethics and concept of capacity we conclude that the bottle containing 2 1/2 cups of apple juice contains 5 servings containing 1/2 cups each.
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If triangle PQR ~ triangle XYZ, with a scale factor of 8:5, find the value of x and then use to find the perimeter of triangle PQR. PQ: 16, QR: 96, PR: 8x ; XY: 10, YZ: 60, XZ: 55
16/10= 96/60=8x/55=8/5
8x*5=55*8
40x=440
x=11
CREATE A NUMBER LINE THAT
1 7
RANGES FROM – TO —. THEN ADD
8 8
AS MANY OTHER FRACTIONS AS
YOU CAN IN BETWEEN
The fractions on the number line are 1/8, 2/8, 3/8, 4/8, 5/8, 6/8, 7/8
How to generate the number line?The range of the number line is given as:
Range = 1/8 to 7/8
Using an increment of 1/8, the fractions on the number line are:
1/8, 2/8, 3/8, 4/8, 5/8, 6/8, 7/8
Next, we plot the number line where the above fractions are placed on the number line
See attachment for the required number line.
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Which is a perfect square? 20,21, 24,25
The perfect square form the given numbers is 25.
What is meant by Perfect Squares?Perfect squares are defined as the number which is the result of the multiplication of another number, likely integers, to itself two times.
For example, 4 = 2 × 2
So 4 is a perfect square of 2.
Here the given numbers are,
20, 21, 24, 25.
We need the perfect squares as the squares of integers.
1² = 1
2² = 4
3² = 9
4² = 16
5² = 25
So 25 is a perfect square.
20, 21 and 24 cannot be written as the square of an integer.
Hence the correct number is 25.
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Help solve 100 points!!!!!
Answer:
4 weeks
Step-by-step explanation:
Given information:
Starting account balance = $85Weekly deposit = $8 + $10 = $18Given equation:
[tex]\sf b = 85 + w(10 + 8)[/tex]
(where b is the balance and w is the number of weeks)
To find the number of it will take to have a balance of $150, substitute b = $150 into the given equation and solve for w:
[tex]\implies \sf 85+w(10+8)=150[/tex]
[tex]\implies \sf 85+18w=150[/tex]
[tex]\implies \sf 85+18w-85=150-85[/tex]
[tex]\implies \sf 18w=65[/tex]
[tex]\implies \sf \dfrac{18w}{18}=\dfrac{65}{8}[/tex]
[tex]\implies \sf w=3.6111...[/tex]
[tex]\implies \sf w=4\:weeks[/tex]
Therefore, there will be $150 in the bank account 4 weeks from now.
what is 2 90/100 in decimal form
Answer:
2 90/100 in decimal form would be 2.9.
