Answer:
[tex]1.1x, 1.21x, 1.61051x[/tex]
Step-by-step explanation:
If you saving grows [tex]10 \%[/tex] every year, then your saving is [tex]1.1\\[/tex] times your saving from last year. Therefore, after one year, you will have [tex]1.1x\\[/tex], then after [tex]2[/tex] years, you will have [tex](1.1)^2 \cdot x=1.21x[/tex], then after [tex]5[/tex] years, you will have [tex](1.1)^5 \cdot x = 1.61051x[/tex].
Answer:
$1.1x, $1.21x, $1.61x
Step-by-step explanation:
How many hours will it take to complete a 45-km bike ride if you go 12km per hour the whole time?
Answer:
3.75 hours
Step-by-step explanation:
d = rt
where d is the distance, r is the rate and t is the time
45 = 12 t
Divide each side by 12
45/12 = t
3.75 hours = t
Find the missing length in the image below
Let it be x
Using basic proportionality theorem
[tex]\\ \sf\longmapsto \dfrac{x}{10}=\dfrac{14}{7}[/tex]
[tex]\\ \sf\longmapsto \dfrac{x}{10}=2[/tex]
[tex]\\ \sf\longmapsto x=10(2)[/tex]
[tex]\\ \sf\longmapsto x=20[/tex]
A random sample of 200 people was taken. 90 of the people in the sample favored Candidate A. We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 40%. The test statistic is a.1.44. b.1.25. c..95. d..80.
Answer:
a. 1.44
Step-by-step explanation:
We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 40%.
At the null hypothesis, it is tested if the proportion is of at most 40%, that is:
[tex]H_0: p \leq 0.4[/tex]
At the alternative hypothesis, it is tested if the proportion is of more than 40%, that is:
[tex]H_1: p > 0.4[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.4 is tested at the null hypothesis:
This means that [tex]p = 0.4, \sigma = \sqrt{0.4*0.6}[/tex]
A random sample of 200 people was taken. 90 of the people in the sample favored Candidate A.
This means that:
[tex]n = 200, X = \frac{90}{200} = 0.45[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.45 - 0.4}{\frac{\sqrt{0.4*0.6}}{\sqrt{200}}}[/tex]
[tex]z = 1.44[/tex]
Thus the correct answer is given by option a.
Write the greatest and smallest number of 8 suing following digits. 1,2,3,4,5,6,7,8
Answer:
Not very sure what you mean,
But in the provided set, 8 is the greatest number, and 1 is the smallest.
Hope this helps!!
A community swimming pool is a rectangular prism that is 30 feet long, 12 feet wide, and 5 feet deep. The wading pool is half as long, half as deep, and the same width as the larger pool.
How many times greater is the volume of the swimming pool than the volume of the wading pool?
Which of the answer choices has matrix multiplication defined?
Answer:
AB
Step-by-step explanation:
For the multiplication of two matrices to be defined then the number of columns of the first matrix must be equal to the number of rows of the second matrix. For example, 2*3 and 3*2 matrices can be multiplied since the number of columns of the first matrix must be equal to the number of rows of the second matrix.
Matrix A = 2*2
Matrix B = 2*3
Matrix C = 3*3
Matrix D = 1 * 3
From the matrices given, we can see that the matrices that can be multiplied together are AB and BC since the number of columns of the first matrix must be equal to the number of rows of the second matrix. Hence the correct option is AB
Suppose a restaurant offers the following prix fixe menu:
Main course: prime rib, steak, chicken, filet of sole, shrimp
Side dish: soup, salad, crab cakes
Dessert: cheesecake, chocolate chip delight, ice cream.
Beverage: coffee, tea, milk
In how many ways can someone order a meal consisting of one choice from each category?
There are 135 ways someone can order a meal consisting of one choice from each category.
Permutation and combinationTo find the total number of ways someone can order a meal consisting of one choice from each category, we need to multiply the number of options in each category:
Number of options for the main course = 5
Number of options for the side dish = 3
Number of options for the dessert = 3
Number of options for the beverage = 3
Using the multiplication principle, the total number of ways to order a meal is:
5 x 3 x 3 x 3 = 135
Therefore, there are 135 ways someone can order a meal consisting of one choice from each category.
More on permutation can be found here: https://brainly.com/question/30557698
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Which is a direct proportion
y = -4
y = 2x + 1
y = 6
y = 2/3x
Answer:
y=2x+1
Step-by-step explanation:
y is directly proportional to x if it increases as x increases
find the length of the arc. round your answer to nearest tenth
41.9 mi
Step-by-step explanation:
First, we convert the angle from degree measure to radian measure:
[tex]\theta = 240°×\left(\dfrac{\pi}{180°}\right)= \dfrac{4\pi}{3}\:\text{rad}[/tex]
Using the definition of an arc length [tex]s[/tex]
[tex]s = r\theta[/tex]
[tex]\:\:\:\:=(10\:\text{mi})\left(\dfrac{4\pi}{3}\:\text{rad}\right)[/tex]
[tex]\:\:\:\:= 41.9\:\text{mi}[/tex]
A car is traveling 40 kilometers per hour. What is the speed of that car in meters per second?
We have to convert it to m/s
[tex]\boxed{\sf 1km/h=\dfrac{5}{18}m/s}[/tex]
[tex]\\ \sf\longmapsto 40km/h[/tex]
[tex]\\ \sf\longmapsto 40\times \dfrac{5}{18}[/tex]
[tex]\\ \sf\longmapsto \dfrac{200}{18}[/tex]
[tex]\\ \sf\longmapsto 11.1m/s[/tex]
km/h > m/s
when converting km/h to m/s all you need to do is divide by 3.6
and vise versa when converting m/s to km/h multiply by 3.6
so therefore,
40km/h > m/s
= 40 / 3.6
= 11.11 m/s (4sf)
Simplify 13 x - 4[ x + (3 - x )].
A.9x-1
B.8x-12
C.13x-12
13x - 4[x + (3 - x)] =
= 13x - 4(x + 3 - x) =
= 13x - 4 · 3 = 13x - 12
C.
Answer:
13x -12
Step-by-step explanation:
13 x - 4[ x + (3 - x )].
Combine like terms inside the brackets
13 x - 4[ 3 -0x]
13x - 4[3]
Multiply
13x -12
Can anyone help with this math equation please?
Megan and Suzanne each have a plant. They track the growth of their plants for four weeks.
Whose plant grew at a faster rate, and what was the rate?
Suzanne’s at 2 inches per week
Suzanne’s at 1.5 inches per week
Megan’s at 3 inches per week
Megan’s at 2.5 inches per week
Answer:
Megan’s at 2.5 inches per week
Use the information angle 8 is congruent to angle 11 to determine which lines are parallel.
A. p || q
B. l || m
C. m || n
D. l || n
Answer:
A
Step-by-step explanation:
based on line p and q
Answer: p || q
Or A
Step-by-step explanation:
good luck
Find the inequality represented by the graph.
9514 1404 393
Answer:
y < 3x -4
Step-by-step explanation:
The boundary line has a slope (rise/run) of 3/1 = 3. It has a y-intercept of -4. The shaded area is below the line and the solution does not include the line. The relevant inequality can be written ...
y < 3x -4
How??????????????????????
Answer:
y=-1/3x+7
Step-by-step explanation:
y=mx+c
m=-1/3, c=7
y=-1/3x+7
Find the value of the trigonometric ratio. sin A
Answer:
sin A = 4/5
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin A = opp / hyp
sin A = 24/ 30
Dividing the top and bottom by 6
sin A = 4/5
sinØ=Perpendicular/Hypotenuse
sinA=BC/ACsinA=24/30sinA=4/5Need help with this- Precalculus
use x^2 when x=0 because the restriction for it is "use x if x is less than or equal to 1"
when x = 0, (0)^2 will make f(x) = 0
the graph of f(x) will just be a dot at 0
simplify each expression below. Compare your answers with your classmates answers.
Answer:
1)17
2)33
3)9
4)27
5)1252
6)50
Step-by-step explanation:
Please tell me answer not by directly step by step please don't write answer only please please please
y + z + r + x = 360
2x + 3x + 4x + x = 360
10x = 360
x = 360/10
x = 36
Now
x = 36
y = 72
z = 108
r = 144
Answered by Gauthmath must click thanks and mark brainliest
In a regression analysis involving 30 observations, the following estimated regression equation was obtained. If required enter negative values as negative numbers.
In a regression analysis involving 30 observations
Interpret b1, b2, b3, and b4 in this estimated regression equation (to 1 decimal). Assume that for each coefficient statement, the remaining three variables are held constant. Enter negative values as negative numbers.
b1 = estimated change in y per 1 unit change in x1
b2 = estimated change in y per 1 unit change in x2
b3 = estimated change in y per 1 unit change in x3
b4 = estimated change in y per 1 unit change in x4
Predict y when x1 = 10, x2 = 5, x3 = 1, and x4 = 2 (to 1 decimal).
In this, question the equation is missing that's why in the solution we define the equation and its complete solution:
Let the given equation:
[tex]\bold{\hat{h}=17.6+3.8x_1-2.3x_2+7.6x_3+2.7x_4}[/tex]
[tex]\bold{b1 = 3.8}[/tex] units expect changes in the y for each 1 unit change in [tex]\bold{x_1}[/tex]
[tex]\bold{b2 = -2.3 }[/tex] units expect changes in the y for each 1 unit change in [tex]\bold{x_2}[/tex]
[tex]\bold{b3 = 7.6 }[/tex] units expect changes in the y for each 1 unit change in [tex]\bold{x_3}[/tex]
[tex]\bold{b4 = 2.7}[/tex] units expect changes in the y for each 1 unit change in [tex]\bold{x_4}[/tex]
Calculating the estimated value of the y when:
[tex]\to \bold{x_1 = 10}\\\\ \to \bold{x_2 = 5}\\\\\to \bold{x_3 = 1}\\\\\to \bold{x_4 = 2}\\\\[/tex]
Put the value into the above-given equation:
[tex]\to \bold{17.6 + 3.8(10) - 2.3(5) + 7.6(1) + 2.7(2)} \\\\\to \bold{17.6 + 38 - 11.5 + 7.6 + 5.4} \\\\\to \bold{17.6 + 38 - 11.5 + 7.6 + 5.4} \\\\\to \bold{68.6-11.5}\\\\\to \bold{57.1}[/tex]
So, the final answer is "57.1".
Learn more:
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What is the future value of $500 to be received 3 years from now if the discount rate is 10%?
An amount of $700 was invested at 7% for 7 months what is the interest? Round your answer to your nearest cent.
Answer:
$343
step by step explanation: interest=PRT/100
:I=700×7×7/100
:I=$343.
Given:
Principal, P = $700
Rate of interest, R = 7% = 0.07
Time period, T = 7 months (it is considered as a monthly investment)
∴ Simple Interest, SI = PRT
SI = 700 × 0.07 × 7
SI = $343
What is straightforward interest and model?
Straightforward Simple Interest is the strategy for working out the premium sum for a specific chief measure of cash at some pace of revenue. For instance, when an individual takes credit of Rs. 5000, at a pace of 10 p.a. for a very long time, the individual's advantage for quite some time will be S.I. on the acquired cash.
Straightforward recipes generally start with an equivalent sign (=), trailed by constants that are numeric qualities and computation administrators like in addition to (+), short (- ), asterisk(*), or forward cut (/) signs.
Learn more about Simple Interest here
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What function type does the table of values represent?
Answer:
Quadratic
Step-by-step explanation:
Answer:
Linear
Step-by-step explanation:
for every one unit increase in x, there is a 3 unit increase in y
The slope of the plot line would be 3
The y intercept of the plot line would be -1
y = 3x - 1
Find perpendicular,hypotenuse and base
Step-by-step explanation:
In right angled triangle ABC,
Taking alpha as reference angle,
By pythagoras theorem,
p=BC,h=AB,b=AC
Taking thita as reference angle,
p=AC,h=AB,b=BC
Keep smiling and hope u are satisfied with my answer.Have a good day :)
What is the remainder for the synthetic division problem below?
2/ 3 1 2 -7
A. 25
B. 17
C. -29
D. -39
Answer:
B.17
Step-by-step explanation:
B.17
B.17
B.17
B.17
Find the inequality represented by the graph
I'm using khan academy btw
Answer:
Step-by-step explanation:
slope of line through (0,0) and (4,3) =(3-0)/(4-0)=3/4
eq. of line is y-0=3/4(x-0)
y=3/4 x
put x=4
y=2
2=3/4×4
2=3
which is true if 2<3
2<3
so y<3/4 x
Can any one solve this.Please
Answer:
True
Step-by-step explanation:
The first derivative tells you the slope of the graph at a specific point. If f'(c) =0, then that means that at f(c), the slope of the graph is 0. It is neither going up nor down
The second derivative tells you the slope of the slope of the graph. If f''(c) < 0, this means that the slope is decreasing. This means that going from the left to f(c), the slope is greater than the slope at f(c), and going from f(c) to the right, the slope is less than the slope at f(c).
Therefore, since the slope at f(c) is 0, the slope is positive to the left of f(c) and negative to the right of f(c). This means that the graph is going up until it hits f(c) and then goes down. Because f(c) is greater than the values to the left of it (because it is going up until it hits f(c)) and the values to the right of it (because it is going down past f(c)), f(c) is a local maximum
look at the image for the question
9514 1404 393
Answer:
246.6 in²
Step-by-step explanation:
The surface area is the sum of the base area and the areas of the four triangular faces. The relevant area formulas are ...
A = s² . . . . . . area of a square of side length s
A = 1/2bh . . . . area of a triangle with base b and height h
Then the surface area of this figure is ...
A = (9 in)² + 4×(1/2)(9 in)(9.2 in) = 81 in² +165.6 in² = 246.6 in²
5 times a certain number plus 2 times that number plus 2 is 16 what is the number
let the number be x
ATQ
[tex]\\ \sf\longmapsto 5x+2x+2=16[/tex]
[tex]\\ \sf\longmapsto (5+2)x+2=16[/tex]
[tex]\\ \sf\longmapsto 7x+2=16[/tex]
[tex]\\ \sf\longmapsto 7x=16-2[/tex]
[tex]\\ \sf\longmapsto 7x=14[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{14}{7}[/tex]
[tex]\\ \sf\longmapsto x=2[/tex]
Answer:
The number is
2
Explanation:
Let
n
represent the number.
Translating the given statement into algebraic notation, we have
XXX
5
n
+
2
n
+
2
=
16
Therefore
XXX
7
n
+
2
=
16
XXX
7
n
=
14
XXX
n
=
2
answered by: Alan P.
