Answer:
13 years
Step-by-step explanation:
Given data
A=50,000
P=20,000
r= 7%
t=??
The compound interest formula is given as
A=P(1+r)^t
Calculate time, solve for t
t = ln(A/P) / r
t= ln(50000/20000)/0.07
t= ln(2.5)/0.07
t= 0.916/0.07
t= 13.0
Hence the time is 13 years
The next model of a sports car will cost 12.2% less than the current model. The current model costs $34,000 . How much will the price decrease in dollars? What will be the price of the next model?
Answer:
Price decrease in dollars = $4,148Price of next model = $29,852Step-by-step explanation:
The next car will be 12.2% cheaper. This amount in dollars is:
= Percentage decrease * Current model price
= 12.2% * 34,000
= $4,148
The price of the next model will therefore be:
= 34,000 - 4,148
= $29,852
A line passes through the point (-6,9) and has a slope of -5/2 . Write an equation in point-slope form for this line.
Answer:
y-9=-5/2(x+6)
Step-by-step explanation:
y-y1=m(x-x1)
y-9=-5/2(x-(-6))
y-9=-5/2(x+6)
An equation in point-slope form for this line would be y-9=-5/2(x+6).
What is the Point-slope form?The equation of the straight line has its slope and given point.
If we have a non-vertical line that passes through any point(x1, y1) has gradient m. then general point (x, y) must satisfy the equation
y-y₁ = m(x-x₁)
Which is the required equation of a line in a point-slope form.
Thus,
y-y1= m(x-x1)
A line passes through the point (-6,9) and has a slope of -5/2 So,
y-9=-5/2(x-(-6))
y-9=-5/2(x+6)
Hence, an equation in point-slope form for this line would be y-9=-5/2(x+6).
Learn more about slope here:
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find the direction angel of this vector <-5, 9>
Answer:
θ = -60.94°
Step-by-step explanation:
The given vector is:
v = -5i+9j
We need to find the angle of this vector.
The angle of this vector form is given by :
[tex]\tan\theta=\dfrac{y}{x}\\\\\tan\theta=\dfrac{9}{-5}\\\\\tan\theta=-1.8\\\\\theta=\tan^{-1}(-1.8)\\\\=-60.94^{\circ}[/tex]
So, the angle of this vector is -60.94°.
Write the following in slope intercept form. 3x+5=2y
Step-by-step explanation:
Given
3x + 5 = 2y
Writing in slope intercept form
y = (3x + 5) / 2
y = 3/2 x + 5/2
Hope it will help :)
3x+5=2y
here's some answer's
if it is from exact then it is : y= 15/2
if it is from decimal then it is : y= 7.5
if it is from mixed number then it is : y 7 1/7
Lines k and l are parallel, and the measure of angle ABC is 19 degrees. What is the measure of ECD?
Answer: the answer is 23
Step-by-step explanation:
Find the quotient of 9x3−21x2+12x÷3x.
3x2−7x+4x3 x squared minus 7 x plus 4 over x
6x2−18x+96 x squared minus 18 x plus 9
3x2−7x+x43 x squared minus 7 x plus x over 4
3x2−7x+43 x squared minus 7 x plus 4
Answer:
3x^2 - 7x +4
Step-by-step explanation:
see step on the file joint
The quotient of 9x³ - 21x² + 12x divided by 3x is 3x² - 7x + 4.
What is a factor of a polynomial?We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.
To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.
Given, A cubic polynomial 9x³ - 21x² + 12x and being divided by 3x.
So, (9x³ - 21x² + 12x)/(3x).
= 9x³/3x - 21x²/3x + 12x/3x.
= 3x² - 7x + 4.
So, The quotient when 9x³ - 21x² + 12x and being divided by 3x is
3x² - 7x + 4.
learn more about polynomials here :
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please hurry and answer this *late work*
Answer:
x = -25, 39
Step-by-step explanation:
7 + 32 = 39
7 - 32 = -25
✓ = 2x²-4
Is it linear or nonlinear
Solve the system and determine whether it is consistent or inconsistent and dependent or independent.
y = -5x – 2
5x + y = 0
Four wholesalers are having specials on chicken this week.
A table is shown. The table has three columns and four rows. The first column is labeled Wholesaler. The second column is labeled Pounds of Chicken. The third column is labeled Cost. Wholesaler A, ten pounds of chicken, forty dollars. Wholesaler B, fifteen pounds of chicken, forty-five dollars. Wholesaler C, twenty pounds of chicken, fifty dollars. Wholesaler D, twenty-five pounds of chicken, eighty dollars.
Which wholesaler has the best price on chicken?
a
wholesaler A
b
wholesaler B
c
wholesaler C
d
wholesaler D
Answer:
Wholesaler A.
Step-by-step explanation:
First, put the pounds and dollars into fraction form. Then simplify those fractions. Finally, convert the fractions into decimals and compare the unit prices for each wholesaler. Whichever one is the lowest has the best price.
Ron cycled 510km last week he was under the rain for the 25percent of his journey how far did he travel under the rain? A b c d answer rain
Answer: 127.5km
Step-by-step explanation:
We are informed that Ron cycled 510km last week and that he was under the rain for the 25percent of his journey.
The distance travelled did under the rain will be gotten by multiplying 25% by 510km. This will be:
= 25% × 510
= 0.25 × 510
= 127.5km
He was in the rain for 127.5km
Mike needs his bathroom painted. The flat rate for the painting is $25 plus $5 for each hour that they spend painting. If the total cost of the paint job was $75, how many hours did it take for the painting to be completed?
Answer:
10 hours
Step-by-step explanation:
t = 5h + 25
75 = 5h + 25
5h = 50
h = 10
11.) Ariel has $25. Apple Itunes downloads cost $1.25 each. How many songs can she download and
still have $13 left to spend?
Answer:
11 songs
Step-by-step explanation:
A number N is greater than 3. Which of the following best represents the location of
1/N on the number line?
Find the unit rate for each Coco-Cola/7 Up pack. Show your work.
Please show work
I need help please!!!
Answer:
I dont know what you mean wdym...
Step-by-step explanation:
Find the value of x .
Answer:
141= 47+x( exterior angle property)
x=141-47=94
Step-by-step explanation:
Answer:
its 94⁰
Step-by-step explanation:
47 u know
180-141=39
180-(47+39)=94
How do I solve this using f.o.i.l
(Factoring trinomials)
In an aquarium, there are 10 large fish and 5 small fish. Half of the large fish are red.
One fish is selected at random. Find the probability that it is a large, red fish.
Write your answer as a fraction in simplest form.
Please help i am legitimately stressed and i just cant do anything about it becasue of online school so i just need help. Please
Answer:
ok. 15 fish in total. 5 of them are large red fish.
that means 5 out of 15, or 5/15. 5/15 is simplified as 1/3
Find the area of the polygon. It has a length of 10 in and a width of 5 in.
Answer:
25 squareinches
Step-by-step explanation:
All polygons with the same length and width has the sam area.
Miss Jones was able to divide the class into two equal groups based on this information which of the following numbers could be total number of students in Miss Jones class
any answer that ends in an even number
Step-by-step explanation:
if she divided her class into two equal groups then she will have to have an even number so that she can split her class into two equal groups
A cyclist, whose bicycle has differently sized front and rear tires, rides at a speed of
6.5 km per hour. The front wheel of the bicycle has a circumference of 130 cm and the
rear wheel has a circumference of 125 cm. What is the positive difference between the
number of complete turns the wheels make in 30 minutes?
i’ll give brainliest to whoever answers first and correctly
need asap
Answer:
Step-by-step explanation:
i dont understand
ayo besties help me
The answer is -5
Step-by-step explanation:
First, let's understand about what are rational number and Integer.
Both rational and Integer are part or rather say subset of Real Number. Real Number can be broken into these categories:
Rational And IrrationalI will not talk about Irrational since It is a bit off-topic for the question.
Rational can be broken into:
Integer (Positive, Zero and Negative) FractionInteger is a subset of Rational Number and Real Number. But what is really Integer?
Integer is a whole number or any numbers that don't have decimal, fraction. Integer can be ...,-4,-3,-2,-1,0,1,2,3,4,...
The three dot symbol refers to being endless or countable infinity.
Now that you see Integer cannot be fraction, decimal.
Therefore, the answer is -5
Answer: B) -5
Step-by-step explanation:
An integer is like a whole number, but it also includes negative numbers (e.g. -300, -5, 0, 5, 6, 100).
You can write a rational number as a ratio of two numbers (e.g. 7/1, 1/3, -2/3, -4/7).
None of the answer choices given are integers, except -5. It is also a rational number, since it can be written as -5/1.
Hope this helps! Please give me brainliest! I lost 2 of mine and 200 points when my 38 answers were deleted.
what's
[tex] \sqrt[4]{256} [/tex]
Answer:
⁴√256 = 4 Ans ..........
Answer:
your answer is 4 mate
I hope it helps
#Captainpower
enjoy your day
Which is larger, 7/12 or 2/3?
Help me please if u can <3
Answer:
Not sure about the first one, but the second one in inches and the third one is liters
Answer:
what are the options so can help?
Slope intercept form
Given:
The equation of the parallel line is
[tex]y=-\dfrac{5}{2}x+7[/tex]
The required line passes through the point (-4,1).
To find:
The equation of line in slope slope intercept form.
Solution:
The slope intercept form of a linear function is
[tex]y=mx+b[/tex]
Where m is slope and b is y-intercept.
On comparing the equation [tex]y=-\dfrac{5}{2}x+7[/tex] with slope intercept form, we get
[tex]m=-\dfrac{5}{2}[/tex]
We know that the slopes of parallel lines are always same. So, the slope of the required line is [tex]m=-\dfrac{5}{2}[/tex].
The line passes through the point (-4,1) with slope [tex]m=-\dfrac{5}{2}[/tex]. So, the equation of line is
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-(1)=-\dfrac{5}{2}(x-(-4))[/tex]
[tex]y-1=-\dfrac{5}{2}(x+4)[/tex]
[tex]y-1=-\dfrac{5}{2}x-10[/tex]
Adding 1 on both sides, we get
[tex]y=-\dfrac{5}{2}x-10+1[/tex]
[tex]y=-\dfrac{5}{2}x-9[/tex]
Therefore, the correct option is C.
I WILL GIVE BRAINLIEST!!
Answer:
[tex]\text{D. The terms may be combined.}[/tex]
Step-by-step explanation:
Recall that [tex]\sqrt{a\cdot b}=\sqrt{a}\cdot\sqrt{b}[/tex]. Using this, we can simplify and combine the two terms:
[tex]6\sqrt{32}-12\sqrt{72},\\=6\cdot \sqrt{4}\cdot \sqrt{8}-12\cdot \sqrt{9}\cdot \sqrt{8},\\=6\cdot 2\cdot \sqrt{8}-12\cdot 3\cdot \sqrt{8},\\=12\sqrt{8}-36\sqrt{8},\\=-24\sqrt{8}=-24\cdot\sqrt{4}\cdot\sqrt{2}=\boxed{-48\sqrt{2}}[/tex]. Therefore, the terms may be combined.
The population in the United States in 2015 was 321 million people. It is projected to increase to 438 million people by the year of 2050. If protections are true, the US population will increase _____ % from 2015 to 2050.
Answer:
5
Step-by-step explanation:
Answer:
2.3
Step-by-step explanation:
1) Find the values of 'a' and 'b' for the given parallelogram *
b+6
a
2a
1229
10
a= 29 and b = 4
O a= 61 and b = 16
O a= 4 and b = 58
none of these
Please please
Answer:
first option
Step-by-step explanation:
In a parallelogram consecutive angle are supplementary, sum to 180, so
2a + 122 = 180 ( subtract 122 from both sides )
2a = 58 ( divide both sides by 2 )
a = 29
---------------
In a parallelogram the opposite sides are congruent, then
b + 6 = 10 ( subtract 6 from both sides )
b = 4