Step-by-step explanation:
simple interest formula is I = p × r × t / 100
$32 = p × 8 × 3 / 100
$32 = 24p / 100
32 × 100 = 24p
3200 / 24 = $133.33
Does anyone kno dis answer for me
Answer:
answer below:)
Step-by-step explanation:
since s2= 6.2, then:
cos L= [tex]\frac{adjacent side }{hypotenuse side}[/tex]= [tex]\frac{6.2}{7\\}[/tex]
Find the value of the variable. A
610
790
Answer: Allie made a 240- mile trip in just 4 hours.
Step-by-step explanation:
Find the Area of the triangle
6.3 yd
3.4 yd
A. 2 sqrt 3
B. 4
C. 8
D. 4 sqrt 6
E. 12
Please help
Answer:
Option B. 4
Step-by-step explanation:
From the question given above, the following data were obtained:
Angle θ = 60 °
Opposite (Fe) = 4√3
Adjacent (DE) = x
The value of x can be obtained by using the Tan ratio as illustrated below:
Tan θ = Opposite / Adjacent
Tan 60 = 4√3 / x
√3 = 4√3 / x
Cross multiply
√3 × x = 4√3
Divide both side by √3
x = 4√3 /√3
x = 4
Thus, the length of DE is 4
(SAT Prep) Find the value of x.
Answer:
x = 155
Step-by-step explanation:
First find the missing angle in the smaller triangle.
We know that the sum of the angles in a triangle is 180 so 35 + 90 + the missing angle = 180 so 180 - (35+90) = 180 - 125 = 55
Since the line above is a straight line, the sum of the angles must equal 180 so 55 + 60 + ? = 180. So 180 - 115 = 65.
The triangle is a right triangle so that means on of the angles is 90. So 65 + 90 = 155, so we have 180 - 155 = 25.
The angle that x is on is also a straight line so that means the angles must add up to 180 so 180 - 25 = 155.
An accounting firm has recently recruited six graduates: three men and three women. Three of the graduates are to be selected at random to work in the firm’s suburban office. Construct the probability tree. What is the probability that at least two women will be selected? Round your answer to three decimal places.
Answer:
a) The probability tree is constructed below
b) the probability that at least two women will be selected is 0.500
Step-by-step explanation:
Given the data in the question;
a) The probability tree is as follows;
3 men, 3 women
↓
_______________________|________________________
↓ ↓ ↓ ↓
3 men 2 men 1 man 0 men
0 women 1 woman 2 woman 3 women
b) the probability that at least two women will be selected
p( at least two women would be selected) = P( there are 2 women out of 3 ) + P( there 3 women out of 3
so
p( at least two women would be selected) = C
³C₂ × ³C₁ / ⁶C₃ + ³C₃³C₀ / ⁶C₃
= 3!/(2!(3-2)!) × 3!/(1!(3-1)!) / 6!/(3!(6-3)!) + 3!/(3!(3-3)!) × 3!/(0!(3-0)!) / 6!/3!(6-3)!)
= 3 × 3 / 20 + 1 × 1 / 20
= 9/20 + 1/20
= 0.45 + 0.05
p( at least two women would be selected) = 0.500
Therefore, the probability that at least two women will be selected is 0.500
A phone plan costs $10 per month, plus $0.03 per text message. John wants his phone bill to be less than $40, before taxes. What is the
maximum number of text messages John can send?
A.) 333
B.) 999
C.) 1,333
D.) 1,666
Answer:999
Step-by-step explanation:
0.03x999=29.97
29.97+10=39.97$
Answer:
39.97
Step-by-step explanation:
Starbucks opened two new locations. Location A costed $800 to open but makes $100 a month. Location B costed $1200 to open but makes $200 a month. Determine how long it will take for the locations to have made the same amount after paying off their costs and how much that amount is. *
Answer:
I think it is A that will take longer but im not 100 percent sure
Step-by-step explanation:
First write an equation:
Location A- 800+100x
Location B- 1200+200x
Then you need to plug numbers in for x
When 2 times a number is increased by 9, the answer is the same as
when 30 is decreased by the number. Find the number. HELP ME
Answer:
its 7
Step-by-step explanation:
why did u delete my answer if its right?
n is an integer.
Write the values of n such that -15 < 3n <6
I need know please
Answer:
-5<n≤2
Step-by-step explanation:
Divide 3 by -15 nad 6 since we need to find the "n" we need to divide on all sides, so -15 divided by 3 is -5 so replace -15 with -5 and 6 divided by 3 is 2 so replace 6 with 2
Write the exact value of the side length of a square with an area of
95 square units
The side length of the square is a = 9.75 units
What is the area of a square?A square is a four sided quadrilateral with all of the side having equal lengths. The total internal angle of a square is 360° with each side perpendicular to each other.
A square is a 4 sided polygon where all the sides are of equal length.
The area of the square is the square of any one of its side
Let a be the side of the square
Area of the square = a²
Given data ,
Let the area of the square be represented as A
Now , the value of A is
Area of the square = a²
The exact value of the side length of a square with an area of 95 square units can be found by taking the square root of 95.
√95 ≈ 9.74679434481 (approximate value)
Hence , the exact value of the side length of the square is approximately 9.74679434481 units
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Two ships leave port at the same time. One travels north at 70 knots (that is, 70 nautical miles per hour), and the other west at 70 knots. The distance between the ships increases at a constant rate. At what rate is the distance between the two ships increasing
Answer:
99miles is more likely correct
or 114miles as knots is usually higher mileage
Step-by-step explanation:
70^2 + 70^2 = c^2
sqrt 4900 + sqrt 4900 = c^2
sq rt 9800 = c^2 = 98.9949494
99 x 1.1507794480225 = 113.927165 = 114miles if converted to 80.6m/ph
70 Knots is equivalent to 80.554561361578 Miles/Hour. How to convert from Knots to Miles/Hour The conversion factor from Knots to Miles/Hour is 1.1507794480225. To find out how many Knots in Miles/Hour, multiply by the conversion factor or use the Velocity converter.
find the area of ABC
Answer:
area of ABC=1/2 b×h=1/2×20×6=30m²
Answer:
60 m^2
Step-by-step explanation:
( Base * Hight / 2 = Area)
20 * 6 = 120
120 / 2 = 60
which algebraic expression represents "the difference of fofty-four and seven times a number
Answer:
44-7x
Step-by-step explanation:
A random sample of 250 juniors majoring in psychology or communication at a large university is selected. These students are asked whether or not they are happy with their majors. Assume that none of these 250 students is majoring in both areas. There are a total of 100 majoring in psychology and only 80 of those majoring in psychology are happy while 35 students majoring in communication are unhappy.
If one student is selected at random from this group, find the probability that this student is:________
i. happy with the choice of major
ii. a psychology major
iii. a communication major given that the student is happy with the choice of major
iv. unhappy with the choice of major given that
Solution :
It is given that :
Number of students in a random sample majoring in communication or psychology at an university = 250
Total number of students majoring in psychology = 100
Number of students majoring in psychology those who are happy = 80
So number of students majoring in psychology those who are not happy = 20
Total number of students majoring in communication = 250 - 100 = 150
Number of students majoring in communication those who are happy = 115
So number of students majoring in psychology those who are not happy = 35
a). Probability of the students happy with their major choices are
[tex]$=\frac{80+115}{250}$[/tex]
= 0.78
b). Psychology major [tex]$=\frac{80+20}{250}$[/tex]
= 0.4
c). Probability of the students who are happy with the communication as the choice of major = [tex]$\frac{115}{250}$[/tex] = 0.46
d). Students unhappy with their choice of major given that the student is psychology major = [tex]$\frac{20}{250}$[/tex] = 0.018
a) Probability of the students happy with their major choices is 0.78.
b) Probability of Psychology major is 0.4
c) Probability of the students who are happy with the communication as the choice of major is 0.46.
d) Students unhappy with their choice of major given that the student is psychology major is 0.018
Given:
Number of students in a random sample majoring in communication or psychology at an university = 250
Total number of students majoring in psychology = 100
Number of students majoring in psychology those who are happy = 80
So, number of students majoring in psychology those who are not happy = 20
Total number of students majoring in communication = 250 - 100 = 150
Number of students majoring in communication those who are happy = 115
So, number of students majoring in psychology those who are not happy = 35
a). Probability of the students happy with their major choices are
[tex]=\frac{80+115}{250} =0.78[/tex]
b). Psychology major
[tex]\frac{80+20}{250} =0.4[/tex]
c). Probability of the students who are happy with the communication as the choice of major =[tex]\frac{115}{250} =0.46[/tex]
d). Students unhappy with their choice of major given that the student is psychology major =[tex]\frac{20}{250} =0.018[/tex]
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Which set of numbers below DO NOT make a triangle?
7,7,7
6, 3, 3
3,4,5
5, 11,7
Answer:
6, 3, 3 (B)
Step-by-step explanation:
Two sides of a triangle must be greater than the remaining side
A way to think about this is like this:
The two shortest sides of a triangle must be greater than the final side
Go through this process for each option and find the B does not work
Can someone help me with a two step equatio that is x=2
What is 730 divided by 30
Answer:
24 1/3
Step-by-step explanation:
long division
To get to the baseball game, Todd drove 2 hours and 10 minutes, stopped for 15 minutes, then drove 1 hour 15 minutes more to get to the game. If he arrived at 6:10, what time did he leave?
Evaluate Bridget is filling welcome bags for
several new students. Each bag gets
1 magnet. The ratio of magnets to pencils in
each bag is 1:6, and the ratio of erasers to
magnets is 2:1. Which statement below must
be true? Use a model to help explain your
thinking.
• Bridget needs 4 more pencils than erasers.
Bridget needs 3 times as many pencils as
erasers.
Answer:
sOrRy BoW nEeD SoMe PoInTs Bow
Step-by-step explanation:
Classify the polynomial according to its degree and number of terms 8x.
quadratic binomial
seventh-degree binomial
seventh-degree monomial
linear monomial
Answer:
Linear monomial
Step-by-step explanation:
As here the number of terms is only 8x that is only one hence it is a monomial and as its degree here is 1 hence it is linear.
So it is a linear monomial.
Sadie swam x laps in the pool. Eric swam 3/5 more than that. Write an expression for the number of laps Eric swam
Answer:
y = 3/5 + x
'y' = # laps Eric swam
Step-by-step explanation:
Answer:
.
Step-by-step explanation:
.
A cab company charges a $3.95 flat fee for rides up to 15 miles. For rides over 15 miles, the company charges the $3.95 flat fee and $1.25 per mile for every mile over 15 miles up to 75 miles. For rides over 75 miles the company charges a flat fee of $78.95 and $0.75 per mile over 75 miles. Using this information, write an equation that represents the total cost of the trip as a function of the number of miles traveled. (Remember: Identify your input and output variables, and use proper notation – I recommend you handwrite your function and add a picture in to this document)
Answer:
There are three intervals depending on the mileage:
0 - 15 miles15 - 75 milesMore than 75 milesFor each interval we have different cost and equation
Let miles = x, cost = y, then the equations are:
0 < x ≤ 15 ⇒ y = 3.9515 < x ≤ 75 ⇒ y = 1.25x + 3.95x > 75 ⇒ y = 0.85x + 78.95Step-by-step explanation:0 - 15 miles
15 - 75 miles
More than 75 miles
For each interval we have different cost and equation
Let miles = x, cost = y, then the equations are:
0 < x ≤ 15 ⇒ y = 3.95
15 < x ≤ 75 ⇒ y = 1.25x + 3.95
x > 75 ⇒ y = 0.85x + 78.95
A trader makes a loss of 10% when he sells a watch for 15,300
what did it cost?
Answer:
CP = 17000
Step-by-step explanation:
Given that,
Loss = 10%
Selling price of the watch, SP = $15,300
We need to find the cost price of the watch.
[tex]CP=\dfrac{100}{100-L\%}\times SP\\\\CP=\dfrac{100}{100-10}\times 15300\\\\CP=17000[/tex]
So, the cost price of the watch is 17000.
at a garage sale a large bin full of DVDs and CDs are being sold.all the DVDs and all the CDs are the same price. Aaliyah bought two DVDs for six dollars and the four CDs for eight dollars. Her friend lynn wants to buy four DVDs and two CDs. How much will Lynn have to pay Aaliyah‘s brother Pierre wants to spend $20 on DVDs and CDs what combination of DVDs and CDs could he buy
Answer:
Step-by-step explanation:
$6/(2 DVDs) = $3/DVD, and $8/(4 CDs) = $2/CD
a DVD costs $3
a CD costs $2
Lynn bought 4 DVDs and 2 CDs for 4×$3 + 2×$2 = $16.
Pierre bought d DVDs and c CDs for $20.
d is 0, 2, 4, or 6
c = (20-3d)/2
(d,c) = (0,10), (2,7), (4,4), or (6,1)
please help me get this answer
Answer:
Step-by-step explanation:
Due to similarity in Tri ABC and ADE so,
[tex]\frac{AD}{AB} =\frac{DE}{BC} =\frac{AE}{AC}[/tex]
[tex]AE=28.2*\frac{20}{24} =23.5cm[/tex]
[tex]EC=AC-AE =28.2-23.5=4.7cm[/tex]
Here again are the results of a survey that students conducted at a mall. The students conducted this survey as part of a statistics project to determine if younger adults are more likely to have tattoos. At least one tattoo No tattoo Row Totals Age 18 - 29 170 320 490 Age 30 - 50 60 445 505 Column Totals 230 765 995 Which proportions are most useful in analyzing the relationship between age and tattoos? Group of answer choices 170 / 230 and 60 / 230
Answer:
1. 170/490 and 60/505
2. 320/490 and 445/505
Step-by-step explanation:
No options were given, but the question can still be answered
Given
[tex]\begin{array}{cccc}{} & {\ge 1\ tattoo} & {0\ tattoo} & {Row\ Total} & {18 -29} & {170} & {320} & {490} & {30 - 50} & {60} & {445} & {505} & {Column\ Total} & {230} & {765} & {995}\ \end{array}[/tex]
Required
Which proportion best compares age and tattoos?
The row data represents the age range of each group while the column data represents the amount of tattoo by each group.
So, to make comparison:
You simply pick a cell data and compare it to the row total.
Take for instance
For those who have at least 1 tattoo. The proportion to use are:
170/490 --- For age range: 18 - 29
60/505 --- For age range: 30 - 29
For those without tattoo. The proportion to use are:
320/490 --- For age range: 18 - 29
445/505 --- For age range: 30 - 29
Please help for instant brainliest.
What is the percent of change from 400 to 600
Answer:
I dont speak english so i dont know whats is your question
Question #4
The radius of a circle is 12 inches.
Enter the circumference of the circle, in inches. Round your answer
to the nearest hundredth.
Answer:
80.11 inches
Step-by-step explanation:
The formula to finding the circumference of a circle is:
C = 2πr (C = circumference, π = pi, r = radius)
Replace r with the radius:
C = 2π(12.75)
Now, multiply 2 times pi, then multiply that by 12.75, and the answer rounded
to the nearest hundredth is 80.11