Answer:
7%
Step-by-step explanation:
since the formula says si=ptr/100
so we have to separate r which gives us r =(i ×100)/(p×t)
now putting the values (980×100)/(7000×2)
=7
therefore the rate of interest is 7%
Hardware Sells Nails By The Kilogram.One Inch Of Nails Weighs Approximately 18 mg.How Long,In mm,Is A 1-inch Nail,Correct to 1Decimal Place.?
The length of the 1 inch nail weighing 18 mg is 25.4 mm
What is an equation?An equation is an expression showing the relationship between numbers and variables.
Weight is the quantity of matter stored in an object. The SI unit of weight is the kilograms.
1 inch = 0.0254 meter
1 m = 1000 mm
Given the nail is 1 inch, hence:
1 inch = 0.0254 m
0.0254 m = 0.0254 m * 1000 mm/m = 25.4 mm
The length of the nail is 25.4 mm
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What is the solution of (x+8)/(5x+-1)>0?
Answer:
the solution set is (-infinity, -8) ∪ (-8, 1/5)
Step-by-step explanation:
x + 8 changes sign at x = -8.
I'll assume you meant 5x - 1 (as 5x+- is meaningless). 5x - 1 changes sign at x = 1/5.
Subdivide the x-axis using the two x-values found above:
(negative infinity, -8), (-8, 1/5), (1/5, infinity.
Choose a representative value from each interval. I'm choosing x = -10, x = 0 and x = 1.
Now test the given inequality at each of these x-values. Is the result true or false?
x + 8
---------- > 0
5x - 1
For x = -10:
-10 + 8
--------------- > 0 => -2/(-51) => 2/51 This is TRUE
5(-10) - 1
For x = 1:
1 + 8
---------- > 0 => 9/4 This is TRUE
5 - 1
For x = 0:
8
---------- > 0 This is FALSE
- 1
Therefore the solution set is (-infinity, -8) ∪ (-8, 1/5)
Plz help!!!!
Patrick randomly selects a marble from a bag, records the color, and then returns the marble to the bag. After 40 trials, he has recorded 14 red marbles, 12 blue marbles, 10 yellow marbles, and 4 green
marbles.
Which of the following experimental probabilities is correct based on his record?
A.P (not red)=13/20
B.P (not blue) =3/10
C.P (not yellow)=1/4
D.P (not green) = 3/4
Answer:
try A im not sure tho
Step-by-step explanation:
lol sorry if its wrong
Solve for the unknown angle
Answer:
30
Step-by-step explanation:
can someone help my lil sister.
Answer:
78
Step-by-step explanation:
Given:
h + 9g
Required:
Evaluate when g = 8 and h = 6
Solution:
Plug in the values of the variables into the expression
Thus,
6 + 9(8)
= 6 + 72
= 78
Find the volume of the cylinder
Answer:
pi 50 x^4
Step-by-step explanation:
The volume of a cylinder is
V = pi r^2 h
The radius is 5x and the height is 2x^2
V = pi (5x)^2 * 2x^2
V = pi ( 25x^2) (2x^2)
= pi 50 x^4
Answer:
[tex]50\pi x^{5}[/tex]
Step-by-step explanation:
50π[tex]x^{5}[/tex]
two angles are supplementary. the bigger angle is three times as large as the smaller angle.find the measurement of the angles
Answer:
The bigger angle is 135, and the smaller angle is 45.
Step-by-step explanation:
First, you have to know that supplementary angles add up to 180°.
We have no equations for the angles, so I will use the variable x for the value of the smaller x.
The reason for this: the problem gave the value of the bigger angle, but relative to the smaller angle. Therefore, it would be safe to assume the use of a variable for the smaller angle.
Since the bigger angle is 3 times as large as the smaller, we can say that the bigger angle is 3x, or 3 times x.
Now, we can put this in an equation: 3x+x=180. Like I said before, both of the angles add up to 180 degrees.
To solve the equation:
1. Combine like terms
4x=180
2. Divide both sides by 4
x=45
Now that we have the value of x, we can plug that in to 3x and x to find the angles.
3*45=135, which is the bigger angle
45, which is the smaller angle.
SHOW YOUR WORK
5.9 ÷ 0.54 =?
Answer:
10.93
Step-by-step explanation:
5.9 ÷ 0.54 = 5.9 x 1/0.54 = 5.9/0.54 = 10.93
A room has a measurement of 7.5 m x 9.6 m. If Encik Zaki wishes to lay square tiles
on the floor of the room, what is the biggest size, in cm, of the tiles so that the tiles
will fully cover the entire floor?
Answer:
72
Step-by-step explanation:
the cost of renting a van is $30. An additional $0.89 is charged for each mile, m, the van is driven, Which expression can be used to determine the total cost, in dollars, of renting a van?
Answer:
30 + 0.89m
Step-by-step explanation:
I think this is the correct answer.
Find the volume of a pyramid with a square base, where the side length of the
base is 19.3 ft and the height of the pyramid is 16.2 ft. Round your answer
to the nearest tenth of a cubic foot.
Answer:
20.4
Step-by-step explanation:
The answer is 2011.4
Marcus has 16 4/7 ounces of pretzels that he wants to split equally among 4 people. How many ounces of pretzels will each person get?
Answer:
4 1/7
Step-by-step explanation:
16 4/7 ÷ 4 = 4 1/7
Hope this helps!
Two girls are standing 100 feet apart they both see a beautiful seagull in the air between them the angles of elevation from the girls to the bird are 20 degrees and 45 degrees respectively how high up is the seagull
Answer:
[tex]26.68\ \text{feet}[/tex]
Step-by-step explanation:
a = 100 feet
[tex]\angle B=20^{\circ}[/tex]
[tex]\angle C=45^{\circ}[/tex]
[tex]\angle A=180-(20+45)=115^{\circ}[/tex]
From sine rule we have
[tex]\dfrac{\sin B}{b}=\dfrac{\sin A}{a}\\\Rightarrow b=\dfrac{\sin B}{\sin A}a\\\Rightarrow b=\dfrac{\sin 20^{\circ}}{\sin 115^{\circ}}\times 100\\\Rightarrow b=37.73\ \text{feet}[/tex]
[tex]\sin C=\dfrac{h}{b}\\\Rightarrow h=b\sin C\\\Rightarrow h=37.73\times \sin 45^{\circ}\\\Rightarrow h=26.68\ \text{feet}[/tex]
The is seagull is [tex]26.68\ \text{feet}[/tex] above the ground.
y=x2+3x-2 -17/4
what is the range and domain
Answer:
Hope this helps :)
Step-by-step explanation:
Please help I don’t understand this:((
How many one-inch cubes will fit in the box?
Answer:
D. 132,651 cubes
Step-by-step explanation:
You're looking for how many cubes fit in the box. Remember cubic means 3 dimensions and squared means 2 dimensions.
Use length x width x height and converting the 4.25 feet to inches...
4.25×12=51
51×51×51=132,651
Meaning 132,651 one inch cubes would fit.
Answer:
132,651 cubes
Step-by-step explanation:
4.25 ft = 51 inches
51 x 51 x51 = 132,651 inches
1 x 1 x 1 = 1 inch cubes
so
132,651 divided by 1 = 132,651.
En qué países hispanohablantes se comen muchos frijoles?
From the video capitulo 8
10 POINTS!! Need it now
Answer:
Cuba, Venezuela, Colombia, Mexico
Help pls I’m stuck on this question
Answer:
We have 15 Nickels and 10 Dimes.
Step-by-step explanation:
This is a system of equations! [Literally in a class reviewing that rn}
Lets make a chart:
Number of Coins x Value of Coin = Total Value
Dimes | d | 10 | 10d
Nickels | n | 5 | 5n
So, When you have a System of Equations with Money, One equations is about the value of the money, and the other about the number of coins.
The First Equation [Number of Coins]:
D + N = 25
the Second Equation [Value of Money]:
10D + 5N = 175
I will use Elimination to solve this, however, graphing and substitution works too.
ELIMINATION:
Multiply First equation by -5
-5[D + N = 25] = -5D - 5N = -125
Add the Two Equations vertically.
-5D - 5N = -125
10D + 5n = 175
---------------------
5D = 50
Divide both sides by 5.
5D/5 = 50/5
D = 10
Substitute D= 10 In any equation and solve for the other variable.
10 + N = 25
Subtract 10 from both sides.
10 - 10 + N = 25 - 10
N = 15
So, we have 15 Nickels and 10 Dimes.
==================================================================
Hope I Helped, have a Great Day!
-Aadi x
id.6577294778 psrd:kaus
please do 81 cookies and distributed 44
Answer:
1.84
Step-by-step explanation:
I think you gave the wrong information because if you divided 81 by 44 you will get 1.84...
If b = 5, what is 632
15
25
75
125
Answer:
Step-by-step explanation:
A
Jerry has a new job and earns a salary of $45,000. Victoria has a new job and earns a salary of $54,000. Jerry will receive a salary increase of $2,500 per year, and Victoria will receive a salary increase of $1,500 per year. Which equation can be used to find x, the number of years it will take Jerry to earn the same salary as Victoria? F 45,000 x + 2,500 x = 54,000 x + 1,500 x G 45,000 x + 2,500 = 54,000 x + 1,500 H 45,000 + 2,500 x = 54,000 + 1,500 x J 45,000 x + 2,500 x = 54,000 x + 1,500
Answer:
H) 45,000 + 2,500 x = 54,000 + 1,500x
Step-by-step explanation:
Let the number of years be represented as x
For Jerry
Jerry has a new job and earns a salary of $45,000.Jerry will receive a salary increase of $2,500 per year,
The equation is
45,000 + 2,500x
Victoria has a new job and earns a salary of $54,000. and Victoria will receive a salary increase of $1,500 per year.
The equation is :
54,000 + 1,500x
The equation that can be used to find x, the number of years it will take Jerry to earn the same salary as Victoria is given as
Equation for Jerry = Equation for Victoria
45,000 + 2,500x = 54,000 + 1,500x
Option H is the correct option
Solve for n.
11(12 – 1) + 35 = 311
(0) n =
n = -6
n=-3
n = 3
( n
n = 6
what they are saying is n is 3 so 3+11=14
Step-by-step explanation:
The weather forecaster says that tomorrow there is a 6% chance that it will rain. Which word or phrase describes the probability that it will rain?
O unlikely
O likely
O impossible
O an equal chance or 50-50
The subtotal of your computer purchase was $398.50. If the sales tax rate is 7.25%, how much will you pay in tax for the computer?
Answer:
54.97
Step-by-step explanation:
Find the balance in the amount after the given period. 5000 principal earning 7% commanded, 7 years
Complete question :
Find the balance in the amount after the given period. 5000 principal earning 7% compounded annually for 7 years
Answer:
8,028.91
Step-by-step explanation:
Given :
Principal, P = 5000
Rate, r = 7% = 0.07
Period, t = 7 years
Using the compound interest formula :
A = P(1 + r/n)^nt
A = final amount ; n = number of compounding times per period
A = 5000(1 + 0.07/1)^(1*7)
A = 5000(1 + 0.07)^7
A = 5000(1.07)^7
A = 5000 * 1.60578147647843
A = 8028.90738239215
Amount saved = 8,028.91
There were 49.7 million people with some type of long-lasting condition or disability living in the United States in 2000. This represented 19.3 percent of the majority of civilians aged five and over (http://factfinder.census.gov). A sample of 1000 persons is selected at random.
a. Approximate the probability that more than 200 persons in the sample have a disability.
b. Approximate the probability that between 180 and 300 people in the sample have a disability.
Answer:
The answer is "0.274 and 0.841"
Step-by-step explanation:
Given:
In this question, let X the binomial random variable with the parameters:
[tex]n = 1000\\\\P = 0.193[/tex]
Calculating the random variable Z:
[tex]Z= \frac{X - np}{\sqrt{np(l - p)}}=\frac{x -193}{12.48}[/tex]
is an approximately regular, cumulative random variable with [tex]\Phi[/tex] specified in the back of the book in the tables.
Using the continuity and tables to calculate:
[tex]\to \mathbb{P} (X > 200) = \mathbb{P} (X\geq 200.5) \approx \mathbb{P}(Z\geq 0.6)=1- \Phi(0.6) \approx 0.274 \\\\\to \mathbb{P} (180 < X < 300) = \mathbb{P} (180.5 \leq X \leq 299.5) = \approx \mathbb{P} (-1 \leq Z\leq 8.53) = \approx 1- \Phi(-1) \approx 0.841[/tex]
(a) The probability that more than 200 persons throughout the sample have a disability will be "0.08691".
(b) The probability that between 180 - 300 people throughout the sample have a disability will be "0.85122".
ProbabilityAccording to the question,
Majority percentage, P = 19.3% or,
= 0.193
Sample person, n = 1000
Q = 1 - P
= 1 - 0.193
= 0.807
By using Normal approx. to Binomial,
→ Mean, E(X) = n × P
By substituting the values,
= 1000 × 0.193
= 193
Standard deviation, X = √n × p × Q
= √1000 × 0.193 × 807
= 12.4800
(a)
Z = [tex]\frac{X - \mu}{\sigma}[/tex]
= [tex]\frac{210-193}{12.48}[/tex]
= 1.36
The probability be:
→ P(X > 210) = 1 - P (Z < 1.36)
= 1 - 0.9131
= 0.08691
(b)
Z = [tex]\frac{X - \mu}{\sigma}[/tex]
= [tex]\frac{180-193}{12.48}[/tex] or, [tex]\frac{300-193}{12.48}[/tex]
= 8.57
hence,
The probability be:
→ P (180 < X < 300) = P(Z < 8.57) - P(Z < -1.04)
= 1 - 0.1488
= 0.85122
Thus the answers above are correct.
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What are the solutions to 6x²-5x-4=0?
Answer:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Step-by-step explanation:
Exact Form:
[tex]x=-\frac{1}{2} , \frac{4}{3}[/tex]
Decimal Form:
x=-0.5, -1.¯3
Hope this helps :)
Your parents give you $10,000. You place it in an account that pays 6.1% annual interest compounded continuously. How much will you have in 20 years? Round the answer to the nearest dollar.
Answer:
$22,200 over all
Step-by-step explanation:
The compound interest after 20 years is $22700.
What is compound interest?Compound interest is the interest you earn on interest. Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.
For the given situation,
The principle, p = $10,000
Rate of interest, r = 6.1% = 0.061
Compounded continuously, n = 1
Number of years, T = 20
The amount formula of compound interest is
[tex]A=p(1+\frac{r}{n} )^{T}[/tex]
On substituting the above values,
⇒ [tex]A=10000(1+\frac{0.061}{1} )^{20}[/tex]
⇒ [tex]A=10000(1.061)^{20}[/tex]
⇒ [tex]A=32681.9[/tex] ≈ [tex]32682[/tex]
The compound interest can be calculated as
[tex]CI=A-P[/tex]
⇒ [tex]CI=32682-10000[/tex]
⇒ [tex]CI=22682[/tex] ≈ [tex]22700[/tex]
Hence we can conclude that the compound interest after 20 years is $22700.
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At Chill Hill, there are 540 ways to make an ice cream sundae consisting of one flavor ice cream, one topping, and one type of syrup. If there are 9 ice cream flavors and 5 types of syrup, how many toppings are there? Please Explain how you got this answer for brainliest
Answer:
12 different toppings
Step-by-step explanation:
Total combination / (number of syrup * Numbe rod ive cream flavors)
540 / (9*5)
540 / 45
= 12
Which of the statements below are true? Select all that apply.
A) The table shows a proportional relationship
B) The table does not show a proportional relationship
C) Buying 6 comics saves $2.00
D) Buying 2 comics costs $8.00