Answer:
f(x) = 20,000(0.85)^x
Step-by-step explanation:
Given data
Cost of car P= $20,000
rate of depreciation r= 15%
Let us apply the depreciation formula
f(x) = P(1-r)^t
substitute
f(x) = 20000(1-0.15)^x
f(x) = 20000(0.85)^x
Therefore the correct expression is option 1
f(x) = 20,000(0.85)^x
Farmer Brown is tilling her field. Farmer Brown tills 2/3 of an acre in 2/7 of an hour. What is Farmer Brown's unit rate of tilling?
Answer:
2 1/3 acres per hour
Step-by-step explanation:
If you divide both numbers by 2, you get 1/3 and 1/7. If 7 makes up an hour, then you multiply 1/3 by 7, which gets you 2.333.. which is equivalent to 2 1/3.
Jill wants to solve the following system using the elimination method:
Y = X + 8
y = 3x - 11
What number should the equation = x + 8 be multiplied by to eliminate x?
3
Answer:
3
Step-by-step explanation:
y= x + 8..... (1)
y= 3x - 11..... (2)
y - x = 8..... (3)
y - 3x = -11..... (4)
eliminating x:
(3) × 3: 3y - 3x = 24 ........ (5)
(4) × 1: y - 3x = -11 ......... (6)
(5) - (6): 2y = 35
Divide both sides by 2, therefore, y = 17.5
substitute the value of y into (3)
y - x = 8
17.5 - x = 8
17.5 - 8 = x
9.5 = x
I hope it'll help
you drink a beverage with 120mg of caffeine each hour the caffeine in your system decreases by about 12% how long until you have 10 mg of caffeine
Answer::
Step-by-step explanation:
PLEASE HELP who knows the answer to this?
Answer:
a.
Step-by-step explanation:
Simplify [ (4 + 8) x 3 ] /9
Answer:
4
Step-by-step explanation:
Simplify the given expression by doing each operation as per the order of operations. The order of operations is a systematic way of tackling an equation, that ensures that the result attained will be true when one solves the equation; remember, the order of operations states;
1. Parenthesis
2. Exponents
3. Multiplication/ Division
4. Addition/ Subtraction
Simplify the equation by combining terms as per the order of operations;
[ ( 4 + 8 ) * 3 ] / 9
= [ 12 * 3 ] / 9
= 36 / 9
= 4
Silicone implant augmentation rhinoplasty is used to correct congenital nose deformities. The success of the procedure depends on various biomechanical properties of the human nasal periosteum and fascia. An article reported that for a sample of 13 (newly deceased) adults, the mean failure strain (%) was 26.0, and the standard deviation was 3.4. (a) Assuming a normal distribution for failure strain, estimate true average strain in a way that conveys information about precision and reliability. (Use a 95% confidence interval. Round your answers to two decimal places.)
Answer:
The 95% confidence interval for the true average strain is between 23.94% and 28.06%.
Step-by-step explanation:
We have the standard deviation of the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 13 - 1 = 12
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 12 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.18
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.18\frac{3.4}{\sqrt{13}} = 2.06[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 26 - 2.06 = 23.94
The upper end of the interval is the sample mean added to M. So it is 26 + 2.06 = 28.06
The 95% confidence interval for the true average strain is between 23.94% and 28.06%.
What transformation is shown below? (Look carefully at the vertices.)
rotation
translation
reflection
can't be determined
7 Select the correct answer. A scientist is trying to predict the reglors of the world most likely to see a decrease in natural resources from population changes. Based on the evidence in the graph, what should the scientist conclude?
Answer:
A
Step-by-step explanation:
the equation of a line that is perpendicular to y = 2x + 1 passes through the point (4,-3)
Step-by-step explanation:
perp. -1/2
y + 3 = -1/2(x - 4)
y + 3 = -1/2x + 2
y = -1/2x - 1
If two angles are supplementary, the sum of their measures is equal to the measure of a straight angle true or false?
Answer:
True.
Step-by-step explanation:
The sum = 180 degrees.
10 1/8 +2 1/4
Show work please
And no links
Answer:
99/8
Step-by-step explanation:
Please refer to the attachment
SOMEONE PLEASE ME RN I BEG YOU
Given:
The piece-wise function is:
[tex]F(x)=\begin{cases}4&\text{ if }0\leq x<2\\3&\text{ if }2\leq x<4\\2&\text{ if }4\leq x<6\end{cases}[/tex]
To find:
The domain of the given function.
Solution:
Domain of the a function is the set of those values for which the function is defined. In other words, the set of input values is called domain.
The given function is defined for the intervals [tex]0\leq x<2,2\leq x<4,4\leq <6[/tex]. So, the domain of the given function is
[tex]Domain=\{x|0\leq x<2,2\leq x<4,4\leq <6\}[/tex]
Therefore, the correct option is B.
Find the surface area of the pyramid.
7 ft
3 ft
The surface area is
square feet.
Answer:
If I understand the definitions correctly,
"surface area" would be the total of all the areas of an object, while "lateral" surface area would exclude the base
so the surface area of a square pyramid
= area of the square base + 4(area of the triangle)
That's my "formua".
In both #1 and #2 you then give dimensions H, W, and L without defining them. If the base is square, how come we have different (W)idths and (L)engths
in #3 Diameter = 8, thus radius = 4
height = 7
Thus slant height of cone = √(4^2 + 7^2) = √65
surface area = πr(r+√(h^2+r^2)
= 4π(4 + √65) = appr 151.58
or surface area = πr^2 + πrs, where s is the slant height
= π(16) + π(4√65) = 151.58
I got the same answer using 2 established methods, none of the answers given match that.
Step-by-step explanation:
i hope this helps if not im sorry
Solve for x in the equation 4 = 32x.
*
Answer:
Your answer is in the Step by Step
Step-by-step explanation:
4=32x
We move all terms to the left:
4-(32x)=0
We move all terms containing x to the left, all other terms to the right
-32x=-4 x=-4/-32 x=1/8
Answer:
the answer is x=1/8
in the decimal form, it's x=0.125
Step-by-step explanation:
isolate the variable by dividing each side by a factor that doesn't contain the variable
hope this helps.
may I please get a brainliest:)
Pls help I’m failing
Answer:
a.
the area of each parallelogram
a. 66
b. 49
c. 25
d. 32
e. 18
Step-by-step explanation:
a parallelogram is similar to a rectangle when you are finding the ares, you use the base and the height to find the area. If it helps, like the text suggested, just change them to look like a rectangle and then find the area.
Say me how to on chulla
30 POINTS FOR ALL OF THESE, BRAINLIEST IF YOU GET THEM ALL CORRECT!!!
1. 30% of 70 equals what percent of 84?
A. 35%
B. 25%
C. 100%
D. 40%
2. 75% of 36 equals what percent of 58?
A. 86%
B. 39%
C. 63%
D. 46%
3. Mara spent 3/5 of her vacation in British Columbia. While in that province,
she spent ½ of her time in Vancouver. What fraction of her vacation did
Michaela spend in Vancouver? If her vacation lasted 20 days, how many
days did she spend in Vancouver? Explain your answer.
Answer:
#1
30% of 70 ⇒ 0.3*70 = 21x% of 84 = 21x*84/100 = 21x = 2100/84x = 25%#2
75% of 36 = x% of 580.75*36 = 0.58x0.58x = 27x = 27/0.58x = 46.55%#3
1/2 of 3/5 ⇒ 1/2*3/5 = 3/10 3/10 of 20 days ⇒ 3/10*20 = 6 dayshe temperature at any random location in a kiln used in the manufacture of bricks is normally distributed with a mean of 925 and a standard deviation of 60 degrees. If bricks are fired at a temperature above 1150, they will crack and must be disposed of. If the bricks are placed randomly throughout the kiln, the proportion of bricks that crack during the firing process is closest to
Answer:
The proportion of bricks that crack during the firing process is 0.0001 = 0.01%.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Mean of 925 and a standard deviation of 60 degrees.
This means that [tex]\mu = 925, \sigma = 60[/tex]
The proportion of bricks that crack during the firing process is closest to
This is 1 subtracted by the pvalue of Z when X = 1150. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1150 - 925}{60}[/tex]
[tex]Z = 3.75[/tex]
[tex]Z = 3.75[/tex] has a pvalue of 0.9999
1 - 0.9999 = 0.0001
The proportion of bricks that crack during the firing process is 0.0001 = 0.01%.
Please help, will mark brainliest!!
Answer:
30 inches
Step-by-step explanation:
we can use the pythagorean theorem where the legs are 24 and 18 and the hypotenuse is the diagonal
24² + 18² = c²
576 + 324 = c²
900 = c²
c = [tex]\sqrt{900}[/tex] which equals 30
3) Apply the distributive property to solve the following.
(11+2)-7
Answer:
Step-by-step explanation:
1) Simplify what's inside the parentheses first which is ( 11 + 2) Simplify 11 + 2 to 13.
[tex]13 - 7[/tex]
2) Simplify 13 - 7 to 6.
[tex]6[/tex]
Therefor, the answer is 6.
a family of seven people needs 45 Kg rice for a week how much rice does the family need for a month
Answer:
there are 4 weeks in a month so if 45 kg is for 1 week then
Step-by-step explanation:
x=4 (weeks in a month)
=45x
=180 kg of rice
Which statement is true?
O A checking account is where you want to keep your spending money and a savings account is where you want to keep your savings.
O A checking is account is where you want to keep all of your money for spending and saving.
O A savings account is where you want to keep all of your money for spending and saving.
O A checking account is where you want to keep your savings, and a savings account is where you want to keep your spending money.
PREVIOUS
Answer:
the one thats true id "A checking account is where you want to keep your spending money and a savings account is where you want to keep your savings".
Help me I really need this rn
Answer:
the answer is 9 please I hope i get it right
The product of two consecutive even numbers is 360. Find the numbers.
List each pair of numbers in parentheses, separated by a comma. Example: (1,2),(3,4).
Answer:
Step-by-step explanation:
Two consecutive numbers be 2x , (2x + 2)
(2x)(2x + 2) = 360
2x*2x + 2x *2 = 360
4x² + 4x = 360 {divide the equation by 4}
x² + x = 90
x² + x - 90 = 0
x² + 10x - 9x - 9*10 = 0
x(x + 10) - 9(x + 10) = 0
(x + 10)(x -9) = 0
x + 10 = 0
x = -10
2x = 2*(-10) = -20
2x + 2 = -20 + 2 = 18
(-20 , -18)
Find the coordinates of the intersection of the diagonals of parallelogram GHJK with vertices G (-2, 3), H (4, 4), J (2, -1), and
K(-4, - 2).
Answer:
The point of intersection of both diagonals is (0,1)
Step-by-step explanation:
for the parallelogram, we have the diagonals GJ and HK
Firstly, we need to get the equation of the lines that join these two points
For GJ
the general equation is;
y = mx + b
m is slope and b is y-intercept
We have the points
(-2,3) and (2,-1)
The slope m is as follows;
m = (y2-y1)/(x2-x1)
m = (-1-3)/(2-(-2) = -4/4 = -1
So we have;
y = -x + b
To get b, we substitute any of the two points
Let us use (-2,3)
x = -2 and y = 3
so we have;
3 = -1(-2) + b
3 = 2 + b
b = 3-2 = 1
so we have the equator GJ as y = -x + 1
We repeat same for HK
(4,4) and (-4,-2)
m = (-2-4)/(-4-4) = -6/-8 = 3/4
so we have;
y = 3x/4 + b
use (4,4) to get b
4 = 3/4(4) + b
4 = 3 + b
b = 1
so we have the equate;
y = 3x/4 + 1
multiply through by 4
4y = 3x + 4
To get the point of intersection, we have to solve the equations of the diagonals simultaneously
the equations are;
4y = 3x + 4
y = -x + 1
Multiply equation ii by 4 and i by 1
4y = 3x + 4
4y = -4x + 4
Subtract ii from i
0 = 7x
x = 0
To get y, use any of the equations;
y = -x + 1
y = 0 + 1
y = 1
So the point of intersection of both diagonals are;
(0,1)
75% of what is 124? Write your answer to the nearest tenth.
Answer:
165.3 (165 and 1/3)
Step-by-step explanation:
brainliest plz
Write an equation of the line that passes through the point (-4, -4) and is parallel to 2y - x = -6.
Answer: y=1/2x-2
Step-by-step explanation:
y=mx+b
2y-x=-6
2y=x-6
y=1/2x-3
y-y1=m(x-x1)
y+4=1/2(x+4)
y+4=1/2x+2
y=1/2x-2
Any help would definitely be appreciated. Thank you
Answer:
your answer will be 113.3 yard
Step-by-step explanation:
hope it helps you
have a good day
Bob makes 4% commission on his sales as a real estate agent. If Bob sells a house for $249,000, how much money does he make on the sale?
Answer:
$9,960
Step-by-step explanation:
249000 x 0.4 = 9960
Evaluate the function requested. Write your answer as a fraction in lowest terms.
Answer:
d) tan A = 12 / 5
Step-by-step explanation:
tan is equal to the length of the opposite side divided by the length of the adjacent side.
In this case then, the tan of A is equal to 36 / 15, or 12 / 5