Answer:
x= $6,284.15
Step-by-step explanation:
7300 = x(1 + .025/12)^72
x = [tex]\frac{7300}{(1 + \frac{.025}{12} )^{72} }[/tex]
x= $6,284.15
During spring, young moose, unfamiliar with roads and traffic, are wandering around at night in a province, causing risk and road accidents. Suppose that the average number of road accidents involving moose was per day. The government increased the number of hunting licenses and cleared brush to improve drivers' visibility. On one day after these measures were implemented, there were road accidents involving moose.
Required:
a. What would be the chance of such accidents or fewer, assuming the government's measures were ineffective?
b. Do you think the government's measures were effective? State your reasons clearly.
Estimate the square root between two consecutive whole numbers of sqrt [55]
9514 1404 393
Answer:
7.4 . . . . between 7 and 8
Step-by-step explanation:
55 is between the perfect squares 49 = 7² and 64 = 8². Using linear interpolation, the square root is approximately 7 +(55-49)/(64-49) = 7 6/15 = 7.4
√55 ≈ 7.4 . . . . approximate root by linear interpolation
_____
Additional comment
A way to improve the estimate of the root is to use the "Babylonian method" of iterating the root. Divide the original number (55) by the estimate of the root, and average that result with the estimate:
next best guess = (55/7.4 +7.4)/2 = 7 77/185 ≈ 7.4162_162(repeating)
This matches the actual root when rounded to 4 decimal places. The number of accurate decimal places approximately doubles with each iteration.
__
Another way to improve the estimate is to modify the fractional portion. (The above method converges on a root more quickly.) For this, the iteration of the fractional part of the root is ...
next fractional part = 6/(14 +(fractional part))
where 6/14 is the linear estimate fractional value with 1 subtracted from its denominator.
For one iteration, the new estimate of the fractional part is 6/(14 +6/15) = 5/12, so the root estimate is about 7.4167 compared to the above 7.4162.
can you help me with these high rated questions
I wish you will help me with his highlighted questions
Answer:
52 is (a)
55 is.( d)
56. is (d)
Initial amount problem help
Answer:
3000
growth
2.2%
Step-by-step explanation:
if ABCD is a parallelogram,find m>D and angle C=(9×-1) and angle A=(13×-25)
9514 1404 393
Answer:
∠C = ∠A = 53°
∠D = 127°
Step-by-step explanation:
Opposite angles of a parallelogram are congruent, so ...
∠A = ∠C
13x -25 = 9x -1
4x = 24
x = 6
∠C = ∠A = 9(6) -1
∠C = ∠A = 53°
Adjacent angles of a parallelogram are supplementary.
∠D = 180 -∠C
∠D = 180 -(9(6) -1) = 180 -53
∠D = 127°
Y=2(x-2)^2+7[tex]y=2(x-2)^2+7[/tex]
he following chart reports the number of cell phones sold at a big-box retail store for the last 26 days. a. What are the maximum and the minimum numbers of cell phones sold in a day? b. Using the median, what is the typical number of cell phones sold?
Answer:
Maximum = 19
Minimum = 4
Median = 12
Step-by-step explanation:
The maximum number of phone sold per day is the value to the right of the horizontal axis as the values are arranged in ascending order ; Hence, the maximum number of phones sold per day is 19
Also, the minimum number of phones sold per day is the value to the left of the plot, Hence, minimum number of phones sold per day is 14.
The Median value : 4, 9, 14, 19
The median = 1/2(n+1)th term
1/2(5)th term = 2.5 th term
Median (9 + 14) /2 = 13 /2 = 11.5 = 12 phones
helppp .....................
Answer:
D represents a proportional relationship
Step-by-step explanation:
Proportional graphs always intersect with zero
There are two 5s in the number 855,309. Rico
says that the 5 in the ten-thousinds place is 1000
times greater than the 5 to its right. Is she correct?
Explain how
you know
Answer:
no it is 10 times greater because we use the base 10 system where each number to the left is 10 times greater
Step-by-step explanation:
y – 1 = 2(x – 2), solve for y
Answer:
y = 2x-3
Step-by-step explanation:
y – 1 = 2(x – 2)
Distribute
y-1 =2x-4
Add 1 to each side
y-1+1 = 2x-4+1
y = 2x-3
solve please 14a⁹b-8a³d÷ 2a³
Answer:
7a^6b-4d
Step-by-step explanation:
[tex]\frac{14a^9b - 8a^3d}{2a^3} \\\frac{2a^3(7a^6b - 4d)}{2a^3} \\\\7a^6b-4d[/tex]
Find the value of x rounded to the nearest tenth.
equation for perpendicular to the line -7x + 3y = -10j contains the point (-2,-4)
Answer:
y = 7/3x + 2/3
Step-by-step explanation:
-7x + 3y = -10
3y = 7x - 10
y = 7/3x - 10/3
-4 = 7/3(-2) + b
-4 = -14/3 + b
2/3 = b
A triangular spatula has side lengths of 6 inches, 6 inches, and 4 inches. Is this spatula acute, obtuse, or right? Explain how you know the answer.
The Tres Difficult race helps raise money for charity. According to the website, of the proceeds from ticket sales go directly to charity.
2/5
Last year they made $8000 from ticket sales. How much was given to charity?
Answer:
3200
Step-by-step explanation:
We need to find 2/5 of the tickets sales
2/5 * 8000
3200
Answer:
3200
Step-by-step explanation:
you need to find what 2/5 is and the you take that away from 8000 and then you have your answer of 3200
Two students devised a game called “3 Pennies & 2 Nickels.” Each player will choose to play the pennies or the nickels. In each round, the players will flip all their coins on the table and record how many heads and tails they have. The table below includes the point scheme.
Point Values for “3 Pennies & 2 Nickels”
Penny Points Nickel Points
All pennies heads: –2 Both nickels heads: –2
At least one of each: +3 One of each: +5
All pennies tails: –2 Both nickels tails: –2
Answer:
E(penny) = 1.75 and E(nickel) = 1.5, so she should play with the pennies.
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
trust meh
The temperature increased 3 degrees per hour for 10 hours. How many degrees did it
rise after 10 hours?
Answer:
Unless there is more information to this question, 3 degrees per hour, for 10 hours, after the 10th hour it will have risen 3*10 degrees, so 30 degrees
Answer:
30
Step-by-step explanation:
You can do 3×10 directly, or you can solve it like this to avoid error
Hour Degree
1 +3
2 +6
3 +9
4 +12
5 +15
6 +18
7 +21
8 +24
9 +27
10 +30
Brainliest please
=2x^2 − 8 + 6 what is the vertex
Answer:
(0,-2)
Step-by-step explanation:
A psychology professor assigns letter grades on a test according to the following scheme. A: Top 14% of scores B: Scores below the top 14% and above the bottom 65% C: Scores below the top 35% and above the bottom 16% D: Scores below the top 84% and above the bottom 9% F: Bottom 9% of scores Scores on the test are normally distributed with a mean of 68.4 and a standard deviation of 9.7. Find the numerical limits for a B grade. Round your answers to the nearest whole number, if necessary.
Answer:
The numerical limits for a B grade are 72 and 79, that is, a score between 72 and 79 results in a B grade.
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 z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Scores on the test are normally distributed with a mean of 68.4 and a standard deviation of 9.7.
This means that [tex]\mu = 68.4, \sigma = 9.7[/tex]
Find the numerical limits for a B grade.
Below the 100 - 14 = 86th percentile and above the 65th percentile.
65th percentile:
X when Z has a p-value of 0.65, so X when Z = 0.385.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.385 = \frac{X - 68.4}{9.7}[/tex]
[tex]X - 68.4 = 0.385*9.7[/tex]
[tex]X = 72[/tex]
86th percentile:
X when Z has a p-value of 0.86, so X when Z = 1.08.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.08 = \frac{X - 68.4}{9.7}[/tex]
[tex]X - 68.4 = 1.08*9.7[/tex]
[tex]X = 79[/tex]
The numerical limits for a B grade are 72 and 79, that is, a score between 72 and 79 results in a B grade.
[tex] {4}^{m} = \frac{1}{16} \\ find \: m[/tex]
Answer:
[tex] {4}^{m} = \frac{1}{16} [/tex]
[tex] {4}^{m} = {4}^{ - 2} [/tex]
[tex]same \: base \: so[/tex]
[tex]m = - 2[/tex]
[tex]hope \: this \: help \: u[/tex]
Answer:
Answer:
{4}^{m} = \frac{1}{16}4
m
=
16
1
{4}^{m} = {4}^{ - 2}4
m
=4
−2
same \: base \: sosamebaseso
m = - 2m=−2
hope \: this \: help \: uhopethishelpu
Abraham is writing a recursive function for the geometric sequence:
24, 12, 6, 3,
Khan Academy Problem PLEASE HELP
Answer:
a1 = 24
an = an-1 × 1/2, n >1
Step-by-step explanation:
a geometric sequence is a sequence where we multiply every previous term by a certain factor to create the next term.
so, we multiply 24 by something to get 12.
and then 12 by the same something to get 6.
and then 6 by the and something to get 3.
do you see the pattern ? hmmm ?
right, we always divide by 2 (or multiply by 1/2).
the starting value a1 = 24
so,
an = an-1 × 1/2, n>1
or
[tex]an = a1 \times {(1 \div 2)}^{n - 1} [/tex]
n>1
The price of a certain item is P dollars. The sales tax on the item is 7%. Which expressions represent the total cost of the item, in dollars, after the tax has been applied? Select EACH correct anwser
0.07P 1.07P P+0.07P 1+0.07P (1+0.07)P
Step-by-step explanation:
P = $ Dollars
Item = 7%
Answer
item 7/100 = 0.07/1 item
(1+0.07) P
I need help i don't get it !!!!!
Answer:
4
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 30 = x/8
8 sin 30 =x
8 (1/2) = x
4
Answer:
The answet is A. 4
Step-by-step explanation:
Evaluate each expression.
Complete the table for the function y = x−−√3 + 7.
Answer:
option D (5 6 8 9) is the answer
Answer:
X [tex]\Longrightarrow -8\Longrightarrow -1\Longrightarrow 1\Longrightarrow 8[/tex]
Y[tex]\Longrightarrow 5\Longrightarrow 6\Longrightarrow 8\Longrightarrow 9[/tex]
[tex]Answer\hookrightarrow D)[/tex]
-------------------------
Hope it helps...
Have a great day!!
10 ft wide by 14 ft long. if the ceiling is 8 ft high. what is the area of the four walls?
Answer: 80
Step-by-step explanation:
A researcher conducts a hypothesis test and concludes that his hypothesis is correct. Explain why this conclusion is never an appropriate decision in hypothesis testing.
Answer:
we use the terms, the hypothesis is incorrect or we lack sufficient evidence to declare the hypothesis incorrect. in hypothesis testing
Step-by-step explanation:
The conclusion made by the researcher after conducting a hypothesis test ( i.e. hypothesis is correct ) is not the right decision because in hypothesis testing we either reject the Null hypothesis or we fail to reject the Null hypothesis.
These conclusions can be made when;
P-value < ∝ ( reject null hypothesis ) and P-value > ∝ ( fail to reject null hypothesis )
and We do not use the term the hypothesis is correct But we use these terms, the hypothesis is incorrect or we lack sufficient evidence to declare the hypothesis incorrect.
Simplify. (x+y)/(x^2y)-(x-2y)/(xy^2)
Answer:
[tex]{ \tt{ = \frac{(x + y)}{ {x}^{2}y } - \frac{(x - 2y)}{ {xy}^{2} } }} [/tex]
Find the LCM of denominators: x²y²
[tex]{ \tt{ = \frac{y(x + y) - x(x - 2y)}{ {x}^{2} {y}^{2} } }} \\ \\ = { \tt{ \frac{xy + {y}^{2} - {x}^{2} +2xy }{ {x}^{2} {y}^{2} } }}[/tex]
Simplify further:
[tex] = { \tt{ \frac{(y - x)(y + x) +3xy}{ {(xy)}^{2} } }} \\ \\ = { \tt{ \frac{(y - x)(y + x)}{ {(xy)}^{2} } - \frac{3}{xy} }}[/tex]
The dimensions of a rectangle are 20' by 40'. If a model rectangle with a scale of 5' = 10'' is to be made, find the dimensions of the model.
40'' by 40''
20'' by 40''
40'' by 80''
80'' by 80"
20’ / 5’ = 4
4 x 10” = 40”
40’ /5’ = 8
8 x 10” = 80”
Scaled dimension: 40” x 80”
A ratio shows us the number of times a number contains another number. The correct option is C.
What is a Ratio?A ratio shows us the number of times a number contains another number.
Given that the model rectangle with a scale of 5' = 10'' is to be made. Therefore, the ratio is,
5' = 10"
1' = (10/5)" = 2"
If the dimensions of a rectangle are 20' by 40'.
20' = 20 × 2" = 40"
40' = 40 × 2" = 80"
Hence, the correct option is C.
Learn more about Ratios:
https://brainly.com/question/1504221
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what is the type of angle?
Answer:
C) Vertical angles
Step-by-step explanation:
They’re vertical angles because they’d be equal to each other and they’re located across from one another in the corners of the "X" formed by 2 straight lines.
