Answer:
Step-by-step explanation:
1/4. Two lines are perpendicular if -1/m1 = m2 where m1 and m2 are the slopes of which are perpendicular.
Suppose that $2000 is invested at a rate of 3.2%, compounded quarterly. Assuming that no withdrawals are made, find the total amount after 9 years.
Do not round any intermediate computations, and round your answer to the nearest cent.
Answer:
$2664.46
Step-by-step explanation:
2000(1+(0.032)/4)^(4*9)
1+0.008 = 1.008^36 = 1.33222983678... * 2000 = 2664.45967357...
≈ $2664.46
Help ASAP please (no links otherwise I will report)
The formula A = 23.1 e 0.01521 models the population of a US state, A, in millions, t years after 2000.
a. What was the population of the state in 2000?
b. When will the population of the state reach 28.3 million?
a. In 2000, the population of the state was__million.
b. The population of the state will reach 28.3 million in ___.
Answer:
- The population in 2001 is 23.1 million
- It will reach 28.3 million in 2013
Step-by-step explanation:
Given
[tex]A =23.1e^{0.0152t}[/tex]
Solving (a): Population in 2000.
This implies that
[tex]t = 2000 - 2000[/tex]
[tex]t = 0[/tex]
So, we have:
[tex]A =23.1e^{0.0152t}[/tex]
[tex]A =23.1e^{0.0152*0}[/tex]
[tex]A =23.1e^{0}[/tex]
Solve the exponent
[tex]A =23.1*1[/tex]
[tex]A =23.1[/tex]
The population in 2001 is 23.1 million
Solving (b): When will it reach 28.3 million
This implies that:
[tex]A =28.3[/tex]
So, we have:
[tex]A =23.1e^{0.0152t}[/tex]
[tex]28.3 = 23.1e^{0.0152t}[/tex]
Divide both sides by 23.1
[tex]1.225 = e^{0.0152t}[/tex]
Take natural logarithm of both sides
[tex]ln\ 1.225 = ln(e^{0.0152t})[/tex]
Rewrite as:
[tex]ln\ 1.225 = 0.0152t\ ln(e)[/tex]
[tex]ln(e) = 1[/tex]
So:
[tex]ln\ 1.225 = 0.0152t*1[/tex]
[tex]ln\ 1.225 = 0.0152t[/tex]
Make t the subject
[tex]t = \frac{ln\ 1.225}{0.0152}[/tex]
[tex]t = \frac{0.2029}{0.0152}[/tex]
[tex]t \approx 13[/tex]
Add the value of t to 2013 to get the actual year
[tex]Year = 2000 +13[/tex]
[tex]Year = 2013[/tex]
It will reach 28.3 million in 2013
Please help :)
And explain how
Find the value of 5x + 3y when x = 6 and y = 7
Answer:
Answer is 51
Step-by-step explanation:
5(6) + 3(7)
30 + 21
51
Answer:
first you woub sub 6 into x and 7 into y then you would multiple 5 and 6 to get 30 and then multiple 3 and 7 to get 21. lastly add 30 and 21 to give a total of 51
Step-by-step explanation:
5x+3y
5(6)+3(7)
30+21
51
hope this helps
what is the inverse operations of -5x + 10 = 40
Answer:
x=-6
Step-by-step explanation:
−5x+10=40
−5x+10−10=40−10
−5x=30
−5x/5=30/5
x=−6
help meee plssssssssss
Answer:
There is four boxes I answered this in order
1st box: 3
2nd Box: 7
3rd box: 15
4th box : 19
5th box ; 16
Step-by-step explanation:
This is simple
A new car is purchased for \$18,000$18,000 and over time its value depreciates by one half every 3.5 years. How long, to the nearest tenth of a year, would it take for the value of the car to be \$900$900?
Answer:
15.1
Step-by-step explanation:
Rounding equation up to the nearest hundred dollars, the car's value 19 years later will be around $2,500.
What is equation?In mathematics, an equation is a statement stating the equality or two expressions. An equation consists of two sides split by an algebraic equation (=). For illustration, the argument "2x + 3 = 9" argues that the statement "2x + 3" is equal to the value "9".
Given that new car is purchased for $18,000 and over time its value depreciates by one half every 3.5 years Because the car depreciates by half every six years, the car's value after t years is provided by:
To determine the worth of the car 19 years after purchase, we have to analyse V(19):
y = 2000
y = a(1/2) ^t/h
q = 18000
h= 3.5
t=19
Therefore,
y = 18,000
y=2,500.52211582
y≈2,500
Thus the car's value 19 years later is around $2,500.
To know more about equation visit:
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in what number base is the addition 456+24+225=1050
This additition is false
the true answer is 705
Its base on my understanding:)
꧁✰_______❀Edilyn❀_______✰꧂#CarryOnLearning
#NoToCopyPaste
For brainly user:Just please, idols ,if we are going to answer questions here on brainly, don't do the ones from the internet, then just copy and paste
Just please, idols ,if we are going to answer questions here on brainly, don't do the ones from the internet, then just copy and paste You can search on the internet but make your own sentence okay? Thank you
A manager at a gas station realized that there appeared to be a quadratic relationship between the price he charged for a doughnut and the number he sold for the day.
Using a quadratic regression model base on the data, how many doughnuts would be predicted to sold if he charges $0.85 for a doughnut?
Answer choice:
a) ≈22
b) ≈25
c) ≈29
d) ≈30
He sold 28 at 0.75 cents and sold 21 at 0.99 cents.
0.85 is between 0.75 and 0.99 so he sells between 21 and 28 donuts.
0.85 is closer to 0.75 ,so the number should be closer to28.
The answer should be b)25
STOP SENDING ME LINKS BUT I NEED HELP RN
a company has a machine that produces 1080 pounds of sand in 24 hours the machine puts the sand in 5lbs bags how many 5lbs bags can the machine produce in one hour
PLEASE ANSWER ASAP FOR BRIANLEST DUE IN 3 MIN!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: 3rd one
Step-by-step explanation:
How to solve this question?
Answer:
-11.
Step-by-step explanation:
f(x) = √(3 - 2x), x ≤ 3/2
let y = √(3 - 2x)
y^2 = 3 - 2x
2x = 3 - y^2
x = (3 - y^2)/2
So f-1(x) = (3 - x^2)/2
f-1(x) = (3 - 5^2) / 2 = -11.
What is the area? Help meeeeee pls
A wall has to be made around a rectangular garden. The garden's area is
18O square feet. If the garden is 12 feet wide, what is the length?
Answer:
15
Step-by-step explanation:
the answer is 15. 12×15=180
Slope intercept from 2x+2y=10
y=x-5
Thatll be one brainliest
HELP ME PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
C.
Step-by-step explanation:
The median is the line in the middle of the box plot.
C is the answer because 75 is the largest median out of all the choices.
Please help me ASAP really need help!!!
Answer:
2.7
Step-by-step explanation:
the scale factor should be consistant as you scale up and down. So you can divide 4.59 by its corresponding side of 1.7 in order to get the scale factor of 2.7. When repeated with the other sides this number should remian consitant.
the opposite sides of rectangles parallel.
Answer:
TRUE
Step-by-step explanation:
If that's not the answer you wanted just comment if you need help
Which statement compares the product 9/9 x 5,208, the product 19/20 x 5,208, and the product 13/6 x 5,208?
Answer:
C
Step-by-step explanation:
[tex]\frac{9}{9}=1[/tex]
[tex]1=\frac{20}{20}[/tex]
[tex]\frac{19}{20} <\frac{20}{20}[/tex]
[tex]\frac{13}{6}=2\frac{1}{6}[/tex]
[tex]1<2\frac{1}{6}[/tex]
find the greatest four digits number which is divisible by 12, 18 and 30
Answer:
8100
Step-by-step explanation:
8100/12=675
8100/18=450
8100/30=270
Answer:
Therefore, 8100 is the highest four digit perfect square number which is divisible by 12,18 and 30.
Step-by-step explanation:
solve for y if 12-3y<6
Answer:
y=3
Step-by-step explanation:
12-3(3)<6
12-9<6
3<6
This makes the expression true so y=3
Answer:
y > 2
Step-by-step explanation:
isolate the y:
=> -3y < 6 -12
=> -3y < -6
=> y > 2
↑ have to change the inequality sign when divide/multiply by a negative number
What is the slope of the line that goes through (0,0) and (6, 3)?
Answer:
0.5
Step-by-step explanation:
so the slope is also known as the gradient in y=mx+c
Please help!! I will venmo
Answer:
30 cm^2
Step-by-step explanation:
the triangle is 36
the rectangle is 6
36-6=30
A family is trying to pick from different shades of paint for their living room. They have narrowed it down to 10 colors: 3 different blues and 7 different greens. The family decides to just randomly select a color from these. What is the probability they will pick a shade of blue? Choose the answer in percent form. Question 3 options: 50% 100% 70% 30%
Answer:
30%
Step-by-step explanation:
A family is trying to pick from different shades of paint for their living room. They have narrowed it down to 10 colors: 3 different blues and 7 different greens. The family decides to just randomly select a color from these. What is the probability they will pick a shade of blue? Choose the answer in percent form. Question 3 options: 50% 100% 70% 30%
First, we need to convert the probability of picking a blue shade into a fraction.
= 3/10
Since this is by 10, we need to times 0.3 (numerator) by 10 (the number of outcomes) Whatever you do to the numerator, you do to the denominator. This means that you also times 10 by 10
This gives you 30/100
Since a percentage is out of 100, you don't need to change anything, just take away the 100 and put a percentage sign.
=30%
Answer: It is 30%, and i got proof right here.
Step-by-step explanation: I got AN (A) on my test so give the first person all those great rating he needs.
Mae has 36/4 inches of red yard to use for hair on dolls she is making. She uses 9/2 ounces for each doll. How many dolls can have red hair
Answer: 2 dolls
Step-by-step explanation: got it right
What is the solution to the equation e^3x - 127 Round your answer to the nearest hundredth.
OX=0.83
OX= 1.09
OX= 2.48
OX= 7.44
Answer:
The solution is [tex]x = 0.83[/tex]
Step-by-step explanation:
We are given the following equation:
[tex]e^{3x} = 12[/tex]
To isolate x, we apply ln, which is the inverse of the exponential. So
[tex]\ln{e^{3x}} = \ln{12}[/tex]
[tex]3x = \ln{12}[/tex]
[tex]x = \frac{\ln{12}}{3}[/tex]
Using a calculator:
[tex]x = 0.83[/tex]
The solution is [tex]x = 0.83[/tex]
Classify the angle pair using all names that apply
Answer:
Vertical
Step-by-step explanation:
Answer:
∠1 and ∠3 = vertical
Step-by-step explanation:
vertically opposite angles are equal
Evaluate :
[tex] \frac{3}{8} + \frac{2}{9} [/tex]
[tex] \frac{4}{9} + \frac{1}{2} [/tex]
Simplify. Please help me! (Exponents.) Picture added.
Answer:
it would be the last one i meant
Step-by-step explanation:
Which of the following statistics is used to measure inflation?
Answer:
.....................
Step-by-step explanation:
As an economic indicator. The CPI is the most widely used measure of inflation and is sometimes viewed as an indicator of the effectiveness of government economic policy.