Answer:
$420t
Step-by-step explanation:
Given data
Principal= $7000
Rate= 6%
Time= t years
The expression for the amount is
Simple interest= PRT/100
Sustitute
Simple interest= 7000*6*t/100
Simple interest= 42000t/100
Simple interest= 420t
Hence the amount after t years is $420t
Dustin bowled a three-game series at a bowling alley. His scores for the three games were 178, 209, and 159. What was Dustin's average score? A) 178 Eliminate B) 179 C) 180 D) 182
Answer:
182
Step-by-step explanation:
Add 178 + 209 + 159 = 546
Then divide 546 by 3 = 182
Find the area of the figure
Answer:
186.66
Step-by-step explanation:
4. How many inches long is the hammer?
0_1
2
3
4
5
6
what are all the solutions for the equation 5x^2-2x+16=4x^2+6x
Answer:
x=4 is a solution
Is (3,-4) a solution to this system?
Answer:
Bug0
Step-by-step explanation:
tangá Bubv haha yaanka amp
Find y. Do not round ! Geometry homework, plz help if you can/if you know how ;) thank you
9514 1404 393
Answer:
y = 11.2 in
Step-by-step explanation:
The product of segment lengths to the near and far intersection points of the secant with the circle are the same for all secants from the same external point. Here, there are three, so we have the relations ...
9×9 = 5(5+y) = x(x+19)
Then the value of y can be found as ...
81/5 = 5+y
16.2 -5 = y = 11.2
__
The value of x is a little trickier, as a quadratic is involved.
81 = x² +19x
81 + 90.25 = x² +19x +90.25 . . . . complete the square
171.25 = (x +9.5)²
x = √171.25 - 9.5 ≈ 3.58625...
__
Additional comment
For the purpose here, the tangent can be considered to be a degenerate case of a secant in which the two points of intersection with the circle are the same point. For the purpose of this calculation, the length of the tangent is squared. (The distance to the points of intersection is the same.)
I find it easier to remember one rule, rather than a separate rule for tangents. With some imagination, the same rule can be applied when the "secants" meet inside the circle. In that case, they are called "chords".
We have shown the value for x because we suspect some versions of this question may ask for x instead of y. (Rounding may be required in that case.)
calculate the value (1+√2)^4 - (1-√2)^4 without using table
[tex](1 + \sqrt{2^{4} }) = 5[/tex]
[tex](1 - \sqrt{2^{4} } ) = - 3[/tex]5--3=8
Sin 0= 8/17 determine the value of tan?
Answer:
tan theta = 8/15
Step-by-step explanation:
Sin is equal to opposite over hypotenuse. So it means that the side opposite from theta is 8, and the hypotenuse is 17.
To find the value of the adjacent side from theta, use the Pythagorean Theorem.
a^2 + b^2 = c^2
8^2 + b^2 = 17^2
64 + b^2 = 289
Subtract 64.
b^2 = 225
Take the square root.
b = 15.
So that means:
the side opposite from theta is 8,
the side adjacent from theta is 15,
the hypotenuse is 17.
Now we take tan, opposite over adjacent, and use the values from the triangle.
tan = opposite / adjacent
tan = 8/15.
Need help asap!!!
Solve for the horizontal distance
Answer:
Step-by-step explanation:
Find the area of the figure
Answer:
456.9
Step-by-step explanation:
The period of a pendulum is the length
of time required to complete one swing
back and forth. If it takes 1.4 sec for a
0.49m pendulum to complete one period,
'What is the period of a 0.36 mpendulum?
Answer:
T₂ = 1.2 s
Step-by-step explanation:
The time period of a simple pendulum is given by :
[tex]T=2\pi \sqrt{\dfrac{L}{g}}[/tex]
Where
L is length of the pendulum
g is acceleration due to gravity
We have,
T₁ = 1.4 s, L₁ = 0.49 m, L₂ = 0.36 m, T₂= ?
[tex]\dfrac{T_1}{T_2}=\sqrt{\dfrac{L_1}{L_2}} \\\\T_2=\dfrac{T_1}{\sqrt{\dfrac{L_1}{L_2}}}\\\\T_2=\dfrac{1.4}{\sqrt{\dfrac{0.49}{0.36}}}\\\\T_2=1.2\ s[/tex]
So, the new time period is equal to 1.2 seconds.
What is the mode out of these numbers?
63, 63, 76, 67, 75, 79, 65, 95, 68, 90
Answer:
63
Step-by-step explanation:
Mode is the number that is repeated the most, in this case its 63
Traveling
All changes saved
8. Morgan is traveling from Dallas, Texas to San Francisco, California. She has the choice
of two airlines. She will check two bags, wants Wi-Fi access, and does not want a meal
on the plane. She does not mind a layover if it will get her a better deal. Which of the
following would be the best deal, and how much would she save?
> Lesson 82
> Lesson 83
Answer:
24
Step-by-step explanation:
i did it
plzzzzzzzzz help me on dis
Answer:
a
Step-by-step explanation:
The city of Philadelphia has an area of 141.7 square miles (mi2) and a population of 1,579,000 residents. What is the density of the city?
Answer:
11,143.3
Step-by-step explanation:
Density measures the number of people per unit area
Density = population / area
1,579,000 / 141.7 = 11,143.30
A bag contains 6 red marbles, 7 blue marbles, and 4 green marbles. What is the probability that a randomly selected marble is blue?
Answer: 7/17
add all the marbles to get the total
6 + 7 + 4 = 17
there are 7 blue marbles so
7/17
find the solution for 4x+6y=16 -7x+2y=-3
Answer:
Step-by-step explanation:
==
A recent survey reported that small businesses spend 24 hours a week marketing their business. A local chamber of commerce claims that small businesses in their area are not growing because these businesses are spending less than 24 hours a week on marketing. The chamber conducts a survey of 93 small businesses within their state and finds that the average amount of time spent on marketing is 23.0 hours a week. Assuming that the population standard deviation is 5.5 hours, is there sufficient evidence to support the chamber of commerce’s claim at the 0.02 level of significance?
Step 1 of 3 :
State the null and alternative hypotheses for the test. Fill in the blank below.
H0: μ=24
Ha: μ ____ 24
Step 2 of 3:
What is the test statistic?
Step 3 of 3:
Do we reject the null hypothesis? Is there sufficient or insufficient evidence?
Answer:
Ha: μ < 24
The test statistic is z = -1.75.
The pvalue of the test is 0.0401 > 0.02, which means that we do not reject the null hypothesis, as there is insufficient evidence.
Step-by-step explanation:
A recent survey reported that small businesses spend 24 hours a week marketing their business.
This means that the null hypothesis is:
[tex]H_0: \mu = 24[/tex]
A local chamber of commerce claims that small businesses in their area are not growing because these businesses are spending less than 24 hours a week on marketing.
This means that the alternate hypothesis is:
[tex]H_a: \mu < 24[/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.
24 is tested at the null hypothesis:
This means that [tex]\mu = 24[/tex]
The chamber conducts a survey of 93 small businesses within their state and finds that the average amount of time spent on marketing is 23.0 hours a week.
This means that [tex]n = 93, X = 23[/tex]
The population standard deviation is 5.5 hours
This means that [tex]\sigma = 5.5[/tex]
Value of the test-statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{23 - 24}{\frac{5.5}{\sqrt{93}}}[/tex]
[tex]z = -1.75[/tex]
The test statistic is z = -1.75.
Do we reject the null hypothesis? Is there sufficient or insufficient evidence?
The pvalue of the test is the probability of finding a sample mean below 23, which is the pvalue of z = -1.75.
Looking at the z table, z = -1.75 has a pvalue of 0.0401
The pvalue of the test is 0.0401 > 0.02, which means that we do not reject the null hypothesis, as there is insufficient evidence.
Please help with math
Answer:
D
Step-by-step explanation:
The other graphs are functions.
Graph A is a linear function, and C is an Absolute Value Function.
Graph B also seems to be a function.
However- I can only narrow it down to B or C. I apologize if my answer is not correct.
I need help please. I need the the discount and selling price. Thank you
Answer:
15.12 is the discount68.88 is the sell priceStep-by-step explanation:
When you are taking off percentages from numbers, you first want to make the percent a number. This step is super simple. Just divide the 18 by 100
This gets you 0.18
Now multiply
84 * 0.18 = 15.12
So 15.12 is the discount
Then take 84 and subtract 15.12
84 - 15.12 = 68.88
So 68.88 is the sell price
SOMEONE SMART PLEASE HELP
I HAVE 5 MINS LEFT FOR THIS IS IT CORRECT?
Answer:
Step-by-step explanation:
i belive it is correct.
please helppp with this questions
Answer:
Sorry for the wait.
Step-by-step explanation:
5. the two bottom angles are the same btw
[tex]2x+2x+x-15=180\\5x-15=180\\5x-15+15=180+15\\5x=195\\5x/5=195/5\\x=39[/tex]
6. straight lines are 180
[tex]3x+17+x-9=180\\4x+8=180\\4x+8-8=180-8\\4x=172\\4x/4=172/4\\x=43[/tex]
7. another 180
[tex]2x-4+3x+5+2x+11=180\\7x-10=180\\7x-10+10=180+10\\7x=190\\7x/7=190/7\\x=27.14\\[/tex]
8. 90 degree angle
[tex]x+x+4+3x-9=90\\5x-5=90\\5x-5+5=90+5\\5x=95\\5x/5=95/5\\x=19[/tex]
help a girl pass her math test pleaseee
Answer:
Your answer is B
Step-by-step explanation:
Answer:
Step-by-step explanation:
A looks good
Hector is training for a race. During week 1, he will run 8 miles. He plans to run
27 miles in week 12.
Which equation shows how to find x, how many more miles Hector will run in
week 12 than in week 1?
A. X + 8 = 27
B. X - 8 = 27
C. -8 + x = 27
D. 8 - x = 27
Answer:
A
Step-by-step explanation:
How you find x is you do 27-8. You get 19. If you do 19+8 and think of 19 as x, you get 27. This is why A is correct
1/2 x 288 = ???????
What is the answer?
Answer:144
Step-by-step explanation:
Use a calculator
or 1/2 x 288 = 288/2 = 144
Answer: 144
Step-by-step explanation:
I'm assuming that the "x" in this statement is a multiplication symbol.
Multiplying any number by 1/2 or 0.5 is the same thing as dividing it by 2.
Therfore the answer is 288/2 which is 144.
On your first draw, what is the probability of drawing a red card, without looking, from a shuffled deck containing 6 red cards, 6 blue cards, and 8 black cards?
The number of books (b) in a preschool classroom is proportional to the number of children (c) enrolled.
If the preschool has three books in a classroom for each child enrolled, which equation represents the total number of books in the classroom?
A. b=3c
B. b=3+c
C. b= 1 over 3c
D. b=3-c
A storeowner wants to set up a rectangular display area outside his store. He will use one side of the building (which is 25 feet long) as part of one side of the display area. He has 190 linear feet of fencing material to use to fence in the display area. Write a function which expresses the total area of the display area in terms of the length x of the side of the display area opposite the building.
Answer:
[tex]A=\frac{215*x}{2}-x^2)[/tex]
Step-by-step explanation:
From the question we are told that:
Total length of building side [tex]x=25feet[/tex]
Perimeter of fence in [tex]P=190feet[/tex]
Generally the perimeter of the display area is given as mathematically given by
[tex]2L+2B=P+x\\2L+2B=190+25[/tex]
Therefore
[tex]2L+2B=215[/tex]
[tex]L+B=\frac{215}{2}[/tex]
[tex]B=\frac{215}{2}-L[/tex]
Generally the Area of the display area A is given as mathematically given by
[tex]Area A=L*B[/tex]
[tex]Area A=L*(\frac{215}{2}-L)[/tex]
[tex]Area A=\frac{215*L}{2}-L^2)[/tex]
Length L in terms of x
[tex]Area A=\frac{215*x}{2}-x^2)[/tex]
Pls help ASAP PLSSSS!!!
Answer:
D
Step-by-step explanation:
225 is the closest to point (200, 200)
Answer:
c
Step-by-step explanation:
trust
Robin saves $500 at a yearly simple interest rate of 4%. What is the total amount of
money she has after 20 years?
Answer:
$900
Step-by-step explanation:
The formula for simple interest is I = PRT where I is the interest earned, P is the principal/amount deposited or borrowed, R = rate as a decimal, and T = time in years
I = PRT
I = (500)(0.04)(20)
I = 400
Add the interest to the principal, and she will have $900 in 20 years.
Please let me know if you have questions about this.