_____
yStep-by-step explanation:
You're trying to save to buy a new $150,000 Ferrari. You have $35,000 today that can be
invested at your bank. The bank pays 4.0 percent annual interest on its accounts. How
long will it be before you have enough to buy the car?
Multiple Choice
O
37.61 years
36.86 years
Answer:
37.61 years
Step-by-step explanation:
I am assuming this is compound interest
35 multiplied by 1.04 to the power of 36.86 does not generate enough money.
35 multiplied by 1.04 to the power of 37.61 does.
Answer:
37.61 yrs
Step-by-step explanation:
FV = future value = 150 000
PV = present value = 35 000
i = decimal interest = .04
annual interest periods = n
formula FV = PV ( 1 + i)^n plug in the values and solve for 'n'
150 000 = 35000 ( 1 + .04)^n
150000/35000 = (1 + .04)^n take log of both sides
.632 = n log1.04
n = years = 37.105 years
what is the slope of the line
Answer:
Step-by-step explanation:
(0, 2) (2, 0)
(0-2)/(2-0)= -2/2= -1
y - 2 = -(x - 0)
y - 2 = -x + 0
y = -x + 2
Which is more effective, the Pythagorean Theorem or The Six Trigonometric
Ratios?
Both methods of solving for lengths of a right triangle are effective. That being said, the Pythagorean theorem is well-known and only requires a student to know one equation (as well as where the legs/hypotenuse should be plugged in). The six trigonometric ratios are also helpful, and over time are something that students begin to recognize when looking at right triangles.
I believe that the Pythagorean theorem is more effective because of its simplicity and wide application. The six trigonometric ratios will not apply to every right triangle, and require more memorization.
Hope this helps!
QUESTION in the diagram below the following are rectangles. ACEG ;BCDJ ; JDEF and HJFG is a square AB =AH = x ;BC=5 ; HG=3 Area of a square= s×s= s² Area of a rectangle= l×b Determine the area of ine following, some cases love answer terms of . DO NOT MEASURE THE DIAGRAM) 2.1.1 ABJHUnit 2.1.2 BCDJ: Units Units 2.1.3 DEFJ 2 2.1.4 HJFG Units 22 write in terms of the length of 2.2.1 AC 2.22 AC Units
The area of the rectangle ACEG is the amount of space on it, and the area of square HJFG is 9 square units
How to determine the area of the figures?The area of a rectangle is:
Area = Length * Width
The area of a square is:
Area = Length * Length
From the question, the given parameters are:
AB =AH = x ;
BC=5;
HG=3
This means that the area of square HJFG is:
Area = HG * HG
Area = 3 * 3
Area = 9
Note that the other areas cannot be calculated because the question is incomplete
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(Multiple Choice and Picture Attached) Will give Brainiest!!
Using the box-and-whisker plot shown, find the quartile values and
Q--8, Q, = 8
8
O
Q=-4, = 6
6
O
q=-4, = 8
8
--8,Q,- 4
Answer:
Q1 = -4, Q2 = 6
Step-by-step explanation:
In this box-and-whisker plot, the first vertical line is the first quartile (-4), the second vertical line is the median (4), and the vertical line is the third quartile (6). The box contains the middle 50% of the data set.
Please Help!
Find tan x/2, given sin x = 3/5, with 90° < Θ < 180°
we know the angle is between 90° and 180°, 90° < θ < 180°, that means the angle is in the II Quadrant, where the sine is positive and the cosine is negative, with that info, let's find check a few things
[tex]sin(\theta )=\cfrac{\stackrel{opposite}{3}}{\underset{hypotenuse}{5}}\qquad \textit{let's find the \underline{adjacent side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2 - b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{5^2 - 3^2}=a\implies \pm\sqrt{16}=a\implies \pm 4 = a\implies \stackrel{II~Quadrant}{-4=a} \\\\[-0.35em] ~\dotfill[/tex]
[tex]cos(\theta )=\cfrac{\stackrel{adjacent}{-4}}{\underset{hypotenuse}{5}} \\\\\\ tan\left(\cfrac{\theta}{2}\right)\implies \cfrac{sin(\theta)}{1+cos(\theta)}\implies \cfrac{ ~~ \frac{3}{5} ~~ }{1-\frac{4}{5}}\implies \cfrac{ ~~ \frac{3}{5} ~~ }{\frac{1}{5}}\implies \cfrac{3}{5}\cdot \cfrac{5}{1}\implies 3[/tex]
What is the square root of 1 x pi
Answer:
3.14159265359 or simplify it to 3.14...
T.O. has a theory that as you get older you start to slow down and therefore that will cause you to have lower self-esteem.
Answer:
The winter evening settles down
With smell of steaks in passageways.
Six o'clock.
The burnt-out ends of smoky days.
And now a gusty shower wraps
The grimy scraps
Of withered leaves about your feet
And newspapers from vacant lots;
The showers beat
On broken blinds and chimney-pots,
And at the corner of the street
A lonely cab-horse steams and stamps.
And then the lighting of the lamps.
Alfred Tennyson - Summer Night
Alfred Tennyson was another poet who made great use of visual imagery. See if you can get a clear picture of the summer night he describes in this poem "Summer Night:"
Now sleeps the crimson petal, now the white;
Nor waves the cypress in the palace walk;
Nor winks the gold fin in the porphyry font:
The firefly wakens: waken thou with me.
Now droops the milk-white peacock like a ghost,
And like a ghost she glimmers on to me.
Now lies the Earth all Danaë to the stars,
And all thy heart lies open unto me.
Now slides the silent meteor on, and leaves
A shining furrow, as thy thoughts in me.
Now folds the lily all her sweetness up,
And slips into the bosom of the lake.
So fold thyself, my dearest, thou, and slip
Into my bosom and be lost in me.
William Wordsworth - I Wandered Lonely as a Cloud
Next is an excerpt from "I Wandered Lonely as a Cloud" by William Wordsworth. The first and last stanzas show a progression of the poet's emotions using visual imagery.
I wandered lonely as a cloud
That floats on high o'er vales and hills,
When all at once I saw a crowd,
A host, of golden daffodils;
Beside the lake, beneath the trees,
Fluttering and dancing in the breeze.
For oft, when on my couch I lie
In vacant or in pensive mood,
They flash upon that inward eye
Which is the bliss of solitude;
And then my heart with pleasure fills,
And dances with the daffodils.
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Theodore Rothke - My Papa’s Waltz
This famous poem by Theodore Rothke is an excellent example of olfactory and tactile imagery with plenty of visual imagery thrown in for good measure. The effect is powerful.
The whiskey on your breath
Could make a small boy dizzy;
But I hung on like death:
Such waltzing was not easy.
We romped until the pans
Slid from the kitchen shelf;
My mother’s countenance
Could not unfrown itself.
The hand that held my wrist
Was battered on one knuckle;
At every step you missed
My right ear scraped a buckle.
You beat time on my head
With a palm caked hard by dirt,
Then waltzed me off to bed
Still clinging to your shirt.
William Carlos Williams - This Is Just to Say
"This Is Just to Say" is an amazing example of gustatory imagery or imagery involving taste. There’s more going on beneath the surface of this poem, but the vivid description of taste draws the reader in.
I have eaten
the plums
that were in
the icebox
and which
you were probably
saving
for breakfast
Forgive me
they were delicious
so sweet
and so cold
Step-by-step explanation:
Which ratio represents the number of vowels to total letters in the word JACKSONVILLE?
Step-by-step explanation:
4:12 there are four vowels and 12 letters?
f(x)=3x=2 what is f(5)?
Answer:
F(x) = 3x × 2
F(5) = 3(5) × 2
F(5) = ( 3 × 5 ) × 2
F(5) = 15 × 2
F(5) = 30
F(x) = 3x x 2
F(5)= 3(5) × 2
F(5) = 15 × 2
F(5) = 30
Answer by NinaIf a figure has a line of symmetry, that means what?
The two sides of the shape are similar.
O The two sides are different shapes.
Both sides are exactly the same.
The two sides are different sizes.
Answer:
both sides are the same
Step-by-step explanation:
please help out asap, will give brainlist crown
Answer:
4 is an interior angle1,2,3 are exterior angles3. 2x+12+3x-7=360
5x+5=360
5x=360-5
x=355/5
x=71
for exterior
2x+12=360
2x=360-12
x=348/2
x=174
Step-by-step explanation:
hope this will help you
3.) A small city currently has a population of 130,250 people. The population is growing at a
rate of 0.2% each year. Approximately how many more people will live in the city three years from
now?
Answer:
131,033.
Step-by-step explanation:
The growth factor is 1 + 0.2 %
= 1 + 0.002 = 1.002.
So in 3 years population
= 130,250(1.002)^3
= 131,033
PLS HURRY
Explain how an enlargement or a reduction in the dimensions of a building would cause a change in the scale factor.
A change in the scale factor is to occur when an enlargement or a reduction in the dimensions of a building occurs to preserve the relationship between actual and mapped dimensions.
What is scale factor?Scale factor is the factor which is used to enlarge or smaller the original figure.
Scale factor is the ratio of representation measurement of the figure to the original figures. An enlargement or a reduction in the dimensions of a building would cause a change in the scale factor.
This can be understood with the following points:
Scale factor is the proportion between the actual and mapped dimensions of a construction.The change in dimensions of the building lead to the change in scale factor.This is happened to preserve their relationship.Thus, a change in the scale factor is to occur when an enlargement or a reduction in the dimensions of a building occurs to preserve the relationship between actual and mapped dimensions.
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Which number does not belong with the other three?
Answer:
Option D
Step-by-step explanation:
Option D is not proper scientific notation, as the exponent is not on the 10
If a satellite can travel 200ft per second, how many hours will it take the satellite to travel 10,000 miles?
Let's examine what the problem gives us:
Distance ⇒ 10000 milesTime ⇒ 200 ftWhat does the problem want:
⇒ time (in hours)
Must find the relationship between distance, speed, and time:
⇒ Distance = Speed * Time
⇒ [tex]Time = \frac{Distance}{Speed}[/tex]
Let's convert some units:
We want the time in hours and distance in miles, but we have speed in feet per sec, and we want miles per hour⇒ let's convert
⇒ [tex]\frac{200_.ft}{1_.s}*\frac{3600_.s}{1_.hr}*\frac{1_.mi}{5280_.ft}=136.36_. mi/hr[/tex]
Now let's solve:
[tex]Time = \frac{Distance}{Speed}=\frac{10000_.mi}{136.36.mi/hr} =73.33_.hrs[/tex]
Answer: 73.33 hrs (estimated)
Can somebody please help me with this
Answer: 3
Step-by-step explanation:
Find the domain of the graphed function.
j
O A. 1sxs 5
O B. x2 2
O C. 2 sxs 5
D. xis all real numbers.
Answer:
A. -1 ≤ x ≤ 3
Step-by-step explanation:
According to the graph, our x-values span from -1 to 3. Since both are closed dot, they are inclusive in the domain:
[-1, 3] or -1 ≤ x ≤ 3
Help please I don’t get this one
Answer:
[tex]P = 8\pi[/tex]
Step-by-step explanation:
To solve this problem, we must calculate the circumference of one circle and multiply it by two because there are 2 circles (4 halves), that make up the perimeter.
We know the diameter is 4m, thus, the circumference of one circle (two halves) is:
[tex]C_1 = \pi d\\C_1 = \pi 4[/tex]
To get the total perimeter (circumference) multiply the result by 2:
[tex]C = C \times 2\\C = 4\pi \times 2\\C = 8\pi[/tex]
Can you guys help me please :(
Step-by-step explanation:
ask me if you don't understand
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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Please help me do this question mathematics genius
The expression for the change of the variable z is Δz = (0.9 · x² + 0.6 · y²) · cos (x³ + y³).
How to find the total differential of a multivariate function
In this question we must apply the concept of total differential to determine the change of the variable z in terms of the changes in variables x and y. That is:
[tex]\Delta z = \frac{\partial f}{\partial x}\cdot \Delta x + \frac{\partial f}{\partial y}\cdot \Delta y[/tex] (1)
If we know that z = sin (x³ + y³), Δx = 0.3 and Δy = 0.2, then the expression for the change of z is:
[tex]\Delta z = 3\cdot \cos (x^{3}+y^{3})\cdot x^{2}\cdot (0.3)+3\cdot \cos (x^{3}+y^{3})\cdot y^{2}\cdot (0.2)[/tex]
Δz = (0.9 · x² + 0.6 · y²) · cos (x³ + y³)
The expression for the change of the variable z is Δz = (0.9 · x² + 0.6 · y²) · cos (x³ + y³).
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.
A jar contains 11 green marbles, 6 red marbles, and 9 blue marbles. A marble is selected at random, not replaced, and then a second marble is selected. What is the probability of selecting a red marble followed by a green marble?
Answer:
red marbel
[tex] = \frac{3}{13} [/tex]
green marbel
[tex] = \frac{9}{26} [/tex]
Step-by-step explanation:
for the red marbel you first add all the number of balls given and the total is 26 then you take the number of red marbels dividing the total number of all the balls and if you are able to cancel out you can and there you get your answer same applies to the green marbel
Meg buys 42 tulip bulbs. She plants 18 bulbs in her front yard. She plants the rest of the
bulbs in 6 pots. Meg plants the same number of bulbs in each pot.
How many bulbs are in each pot?
Answer:
4 bulbs
Step-by-step explanation:
find g(-3) g(2) g(4)
Answer:
[tex]\frac{1}{2}[/tex] , 2 , 4
Step-by-step explanation:
x = - 3 ≠ 2 , then
g(- 3) = [tex]\frac{1}{2}[/tex] × (- 3)² - 4 = [tex]\frac{1}{2}[/tex] × 9 - 4 = [tex]\frac{9}{2}[/tex] - 4 = [tex]\frac{1}{2}[/tex]
x = 2 then g(2) = 2
x = 4 ≠ 2 , then
g(4) = [tex]\frac{1}{2}[/tex] × 4² - 4 = [tex]\frac{1}{2}[/tex] × 16 - 4 = 8 - 4 = 4
solve for x (3x+2x)(x-5)
Answer:
Step-by-step explanation:
1) Combine like terms.
⇒ (3x + 2x) ( x - 5 )
⇒ (5x) ( x - 5 )
2) Distribute.
⇒ 5x ( x - 5 )
⇒ 5x² - 25x
Evaluate the formula for the area of a triangle to solve the problem.
The area of a sandbox = one-half base times height. The height is 2.4 meters and the base is 3.5 meters.
Lokota wants to build a sandbox for his little brother. Determine the amount of sand he needs by finding the area of the sandbox. Use the drop-down menus to complete the statements.
First, write the
.
Next, use parentheses when you substitute
for b and
for h.
Now, simplify by
1
2
, 2.4, and 3.5.
The area of the sandbox is
m².
The area of the triangle will be 4.2 square meters.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
The height is 2.4 meters and the base is 3.5 meters.
Then the area of the triangle will be
Area = 1/2 x b x h
Then we have
Area = 1/2 x 3.5 x 2.4
Area = 4.2 square meters
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✔ formula: A = 1/2 bh
✔ 3.5
✔ 2.4
✔ multiplying
✔ 4.2
Step-by-step explanation:
Took quiz
Can a triangle have sides with the given lengths?
2 in, 4 in, 6 in
Answer:
NO
Step-by-step explanation:
Because the sum of the minor sides equals the measure of the major side, it must be less.
2 + 4 = 6
Hope this helps
You have a textbook for each of the following subjects: Spanish, English, Chemistry, Geometry, History, and Psychology. If you choose 4 of these at random to arrange on a shelf, what is the probability that the Geometry textbook will be first from the left and the Chemistry textbook will be second from the left?
The probability that the Geometry textbook will be first from the left and the Chemistry textbook will be second from the left is 1/30
How to determine the probability?The distribution of the books is:
Spanish, English, Chemistry, Geometry, History, and Psychology
The probability of choosing a Geometry book is:
P(G) = 1/6
Now, there are 5 books left.
The probability of choosing a Chemistry book is:
P(C) = 1/5
The required probability is:
P = 1/6 * 1/5
Evaluate
P = 1/30
Hence, the probability is 1/30
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16. (1.7 • 10^-4)(5•10^-5)
A. 8.5 • 10^-9
B. 8.5 • 10^20
C. 6.7 • 10^-9
D. 6.7 • 10^20