Answer:
I dont see any graph, but heres
some random information
graphs can help you understand and find equations.
Audrey invested \$620$620 in an account in the year 2000, and the value has been growing exponentially at a constant rate. The value of the account reached \$700$700 in the year 2004. Determine the value of the account, to the nearest dollar, in the year 2011.
Answer:
$866
Step-by-step explanation:
The exponential expression to use is:
P(t) = P0e^kt
P0 is the initial population
P(t) is the population after time t;
k is the constant
If Audrey invested $620 in an account in the year 2000, then, P0 = 620
If the value of the account reached $700 in the year 2004, this means after 4 years P(t) is $700
Substitute t = 4 and P(t) = 700 into the expression above;
700 = 620e^4k
700/620 = e^4k
1.129 = e^4k
ln 1.129 = ln(e^4k)
0.1214 = 4k
k = 0.1214/4
k = 0.03034
To determine the value of the account, to the nearest dollar, in the year 2011, that is after 11 years
P(11) = 620e^11k
P(11) = 620e^11(0.03034)
P(11)= 620e^0.3337
P(11) = 620(1.3961)
P(11) = 865.597
Hence the value of the account in 2011 is $866 to the nearest dollars
Answer:
$866
Step-by-step explanation:
What abidemiokin said was right! Have a great day :)
You are making a blueprint of your bedroom and you plan to use a scale factor of 1/5 . The actual width of your room is 12 feet and the actual length of your room is 8 feet. Determine the width and length of your room on the blueprint.
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Answer:
2.4 ft by 1.6 ft
Step-by-step explanation:
The scaled size is 1/5 the actual size, so is ...
12 ft/5 = 2.4 ft
by
8 ft/5 = 1.6 ft
_____
To convert to inches, multiply by 12 in/ft.
2.4 ft = (2.4 f)(12 in/ft) = 28.8 in
1.6 ft = (1.6 ft)(12 in/ft) = 19.2 in
In inches, the width and length on the blueprint are 28.8 in and 19.2 in.
the question is on there
Answer:
acute angle
Step-by-step explanation:
A particular fruit's weights are normally distributed, with a mean of 405 grams and a standard deviation of 19 grams. If a fruit is picked at random then 17% of the time, its weight will be greater than how many grams?
Answer:
413.126
Step-by-step explanation:
Given a normal distribution :
Mean (m) = 405
Standard deviation (s) = 19
Weight of fruit will be greater than how many grams (x) if picked 17% of the time:
P(Z > x) = 0.17 ;
The Zscore for P(Z > x) = 0.17 equals 0.954 (Z probability calculator)
Zscore = (x - m) / s
0.954 = (x - 405) / 19
0.954 * 19 = x - 405
18.126 = x - 405
x = 18.126 + 405
x = 423.126
Weight will be greater than 423.126
Look at the picture and let me know the answer please
Aaron's plane flew 4.5 m. Noah's plane only flew half the distance that Aaron's plane flew. How many centimeters further did Aaron's plane fly?
Answer:
225 centimeters.
Step-by-step explanation:
To solve this, we need to find half of 4.5. We can do this by dividing 4.5 by 2. When we do this, we get 2.25. This means Noah's plane flew 2.25 meters, but we aren't done yet. Now, we need to find how much farther Aaron's plane flew. We can do this by subtracting 2.25 from 4.5. From this, we get 2.25. That last step wasn't really necessary. Now, we need to convert 2.25 meters to centimeters, we can do this by multiplying 2.25 by 100. When we do this, we get 225. This means Aaron's plane flew 225 centimeters farther than Noah's plane.
PLZZZZ ANSWER!!!!!!!!!
Answer:
9 i think if not then sorry
Step-by-step explanation:
Solve for x in the triangle. Round your answer to the nearest tenth.
46°
14
Answer:
14.5
Step-by-step explanation:
suddenly the number of math problems mathletes had to solve increased by 60%! to keep on track the mathletes try to go faster but only increase their speed by 25% By what percent must the number of mathletes on the team increase so they can solve all the problems on time?
Answer:
28%
Step-by-step explanation:
Lets say the fraction of speed and problem solved is 100/100
the number of problems solved increases by 60%
so now it is 160/100, also the speed increases by 25%
so now we do 160/125=1.28
finaly we do 1.28-1 = 28%
Therefore the answer is 28%.
hope this helps
Answer:
28%
Step-by-step explanation:
The number of mathletes on the team must increase by 28%.
Description of speed
The speed of the mathletes is total number of questions divided the total number of people on the team.
Speed = total number of questions / total number of people on the team
Determination of the percentage increase in the number of mathletes
Increase in the number of people on the team = total number of questions / speed
1.60 / 1.25 - 1 = 28%
A line goes through the points (-4, 2) and (0, -5). What is the equation of the line?
Answer:
[tex]y = -\frac{7x}{4} - 5[/tex]
I hope this helps!
Andy is buying a car.
He negotiated a 7% decrease on a £6500 car. He will pay the full balance 12 equal monthly payments.
calculate the amount paid each month
7/100* 6500=455
6500-455=6045
6045/12=503.75
Andy pays 503.75 a month
write at least four rational numbers between -2/5 and -1/3.
Answer:
-0.34, -0.35, -0.36, -0.37
Step-by-step explanation:
A rational number can be any number, negative or positive, so long as if the decimals (if any) terminate at some point or at least repeats itself.
-[tex]\frac{2}{5}[/tex] = -0.4
-[tex]\frac{1}{3}[/tex] = -0.333_ (This means that the digit "3" is repeated forever)
Thus, the possible rational numbers can be:
-0.34
-0.35
-0.36
-0.37
-0.38
-0.39
You can even write decimals like -0.334 since it is bigger than -0.333_ but smaller than -0.4.
determine if x=2 is a solution explain or show your reasoning -3.8x=-8.82
Answer:
it is not a solution
Step-by-step explanation:
-3.8x = - 8.82
plug in the 2 for x
-3.8 (2) = - 8.82
-7.6 = - 8.82
this is untrue, so it is not a solution
Hope this helps!!!
Kendra swims 126 miles in 3 days, what is the constant rate that Kendra swims per day? a. 40 miles per day c. 42 miles per day b. 41 miles per day d. 43 miles per day
Answer:
c. 42 miles per day
Step-by-step explanation:
From the information given, you can use a rule of three to calculate the constant rate that Kendra swims per day given that she swims 126 miles in 3 days:
3 days → 126 miles
1 day → x
x=(1*126)/3=42 miles
According to this, the answer is that Kendra swims 42 miles per day.
You reflect triangle PQR, with vertices P(-2, -4), Q(-3, -1), and R(-4, -4), across the y-axis to get triangle P′Q′R′. What are the coordinates of triangle P′Q′R′? A. P′(-2, 4), Q′(-3, 1), R′(-4, 4) B. P′(2, -4), Q′(3, -1), R′(4, 4) C. P′(-2, 4), Q′(-3, 1), R′(4, -4) D. P′(2, -4), Q′(3, -1), R′(4, -4)
Answer:
D
Step-by-step explanation:
Answer:
D.
P′(2, -4), Q′(3, -1), R′(4, -4)
Step-by-step explanation:
Help!! please and thank u
Answer:
I think the answer ig going to be number 3 or number 2
Aldo made a shirt using 1/5 meters of yellow fabric and 2/3 meters of red fabric. How many meters of fabric did he use in all? Write your answer as a fraction in simplest form.
Answer:
[tex]\frac{13}{15}[/tex] m of fabric
Step-by-step explanation:
To solve this problem, we add the meters of yellow fabric Aldo used with the meters of red fabric he used.
[tex]\frac{1}{5}+\frac{2}{3}[/tex]
However, we have to find a common denominator between the two fractions first in order to add them together. We can do this by multiplying the numerator and denominator in 1/5 by 3, and then multiplying the numerator and denominator in 2/3 by 5.
Essentially, we're multiplying the values in each fraction by the other fraction's denominator.
[tex]\frac{1}{5}[/tex] ⇒ x3 ⇒ [tex]\frac{3}{15}[/tex]
[tex]\frac{2}{3}[/tex] ⇒ x5 ⇒ [tex]\frac{10}{15}[/tex]
Now, we add the two fractions.
[tex]\frac{3}{15} + \frac{10}{15}\\=\frac{13}{15}[/tex]
I hope this helps!
– (8q+7)= 3 (16 — q) ?
Answer:
-11
Step-by-step explanation:
How many seconds until the ball touches the ground
Answer: 6.06 seconds
Step-by-step explanation:
This will not factor. The ball will hit the ground 6.06 seconds after thrown.
Bert and Ernie are planning to go on a tiger hunt. They will need to climb a mountain during their trip. They currently can only read a map and need help calculating the slope. The slope of the mountain is represented by the two points (–2, –1) and (3, 5). What is the slope?
Answer: 6/5
Step-by-step explanation:
Given the points:
(–2, –1) and (3, 5)
x1 = - 2 ; y1 = - 1 ; x2 = 3 ; y2 = 5
Slope is the change in y divided change in x
Slope = change in y / change in x
Slope = (y2 - y1) / (x2 - x1)
Slope = (5 - (-1)) / (3 - (-2))
Slope = (5 + 1) / 3 +2
Slope = 6 / 5
Identify the variables: 8c * 7c - 10p + 12
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Answer:
c, p
Step-by-step explanation:
When you remove the numbers and the math operations (multiplication, addition, subtraction), what is left are the variables. Here, the variables are c and p.
i need help asapppppp
What is x + 2/3 = -4
Answer:
x = -14/3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
x + 2/3 = -4
Step 2: Solve for x
Subtract 2/3 on both sides: x = -14/3Find the slope and y/intercept of y = 5x – 2
Answer: The slope is 5 and teh y-intercept is -2.
Step-by-step explanation:
The slope is the number next acting as the coefficient of the x variable, and y intercept is always the constant value which never changes and that number is -2.
Part C
(Click for a video for parts C and D)
How will doubling the number of students change the cost per student? To test your
ideas about that question, find answers to these related questions.
1. Find the change in per-student cost as the number of students increases in the
following ways.
a. from 20 to 40
b. from 40 to 80
Becky says,
“When you square a prime number you always get an odd number
(a) Write down an example to show that Becky is wrong.
Answer:
2^2=4
Step-by-step explanation:
2^2 = 4
thats not odd -_-
Hope this helps plz hit the crown ;D
Find 156% of the number 145?
Answer:
226.2
Im pretty sure.
Given that a2 + b2 = 33 and ab=7, find the value of (a-b)2
Step-by-step explanation:
(a - b)²
= a² - 2ab + b²
= (a² + b²) - 2(ab)
= (33) - 2(7)
= 19.
In the figure below, ZAOD is a right angle and mAB
mCD. What is m BC?
Answer:
BC=74.7
Step-by-step explanation:
AB=15.3
CD=15.3
15.3+15.3=30.6
90-30.6=59.4
BC=74.7
Wayne and Winston are scuba diving and are ascending to the surface. The function y = 30x − 105 represents Wayne’s elevation in feet in terms of the time in minutes he ascends. The table represents Winston’s elevation in feet in terms of the time in minutes he ascends. Assume that Wayne and Winston both ascend at a constant rate.
