Answer:
Lisa borrowed $8,500
Step-by-step explanation:
Simple Interest
Occurs when the interest is calculated on the original principal of a loan only.
Unlike compound interest where the interest earned in the compounding periods is added to the old principal, simple interest only considers the principal to calculate the interest.
The interest earned is calculated as follows:
I=Prt
Where:
I = Interest
P = initial principal balance
r = interest rate
t = time
Lisa took out a loan for t=5 months and was charged simple interest at an annual rate of r=4.8% = 0.048. She paid interest for I=$170.
We need to convert the time to years (there are 12 months per year):
t = 5 /12 years.
The formula must be solved for P:
[tex]\displaystyle P=\frac{I}{rt}[/tex]
Substituting:
[tex]\displaystyle P=\frac{170}{0.048*5/12}[/tex]
[tex]\displaystyle P=\frac{170}{0.02}=8,500[/tex]
Lisa borrowed $8,500
Answer:
Step-by-step explanation:
I need help on this question
There ard 86,400 seconds in one day. If Mr. Liegel is at work for
28,800 seconds a day, how many seconds a day is he away from
work?
Answer:57,600 seconds
Step-by-step explanation:
86,400 - 28,800 = 57,600
Stories
1. A fishing boat can hold fewer than 9
people. How many people ex can it
hold?
Roulette is a casino game that involves players betting on where a ball will land on a spinning wheel. An
American roulette wheel has 38 numbered slots - half of the slots from 1 to 36 are red and the other half are
black. Slots 0 and 00 are both green.
Suppose that a player bets $1 on the color red. If the ball lands in a red slot, the player gets their initial $1 back
plus a payout of $1. If the ball doesn't land in a red slot, they lose their $1 bet. Let X = the player's net gain
from a $1 bet on a the color red. Here is the probability distribution of X:
Win
Lose
X = net gain $1
-$1
18
P(X)
20
38
38
Calculate the mean of X.
You may round your answer to the nearest thousandth.
E(X) =
dollars
Answer: -0.053
Step-by-step explanation:
1•(18/38) + -1 •(20/18) = -0.053
• =multiply or times
Solve the following problems:
Given: AAFD, mZF=90°
AD = 14, mZD=30°
Find: Area of AAFD
F
D
Factor the trinomial. Factor out the GCF first.
5x^2y - 30xy^2 - 35y^3
Answer: [tex]5x^2y - 30xy^2 - 35y^3=5y(x+y)(x-7y)[/tex]
Step-by-step explanation:
GCF = Greatest common factor.
For example: 6 is the GCF of 12 and 18.
The given expression: [tex]5x^2y - 30xy^2 - 35y^3[/tex]
It can be written as
[tex]5x^2y - (5\times6)x( y\times y) - (5\times7)(y^2\times y)[/tex]
Taking out common factor [tex]5y[/tex] , we get
[tex]5y(x^2-6xy-7y^2)\\\\ =5y(x^2+xy-7xy-7y^2)\ \ [\because-6xy=xy-7xy]\\\\=5y(x(x+y)-7y(x+y))\\\\= 5y((x+y)(x-7y))\\\\=5y(x+y)(x-7y)[/tex]
Hence, [tex]5x^2y - 30xy^2 - 35y^3=5y(x+y)(x-7y)[/tex]
Solve: -3x+8+5x = -4
Answer:
X=-6
If satisfied, please mark brainliest
Step-by-step explanation:
-3x+8+5x=-4
Subtract 8 from both sides and add
2x=-12
X=-6
Step 1: Simplify both sides of the equation.
−3x+8+5x=−4
(−3x+5x)+(8)=−4(Combine Like Terms)
2x+8=−4
2x+8=−4
Step 2: Subtract 8 from both sides.
2x+8−8=−4−8
2x=−12
Step 3: Divide both sides by 2.
2x
2
=
−12
2
x=−6
What is the slope of the line?????
A: 1
B: -2
C: 0
D: no slope
Please help!
A jar top is shaped like a circle. The circumference of the top is 20π centimeters.
Which measurement is closest to the area of the top in square centimeters?
31.4 cm²
62.8 cm²
314 cm²
1,256 cm²
Answer: The answer is 1,256 cm
Answer:
1,256 cm²
Step-by-step explanation:
what is the simplest form of 153/8 - 11 1/5.
Answer:
[tex]7\frac{37}{40}[/tex]
Step-by-step explanation:
Select the equation that is true for all values of x.
(Select all that apply.)
7x = 7x
x - 6 = 6 - X
x.2.(-6) = x : 3.4
Answer:
the first equation is True, second one is not and I'm not sure what the third equation is . . .
Step-by-step explanation:
Equation 7x=7x is true for all values of x. Therefore, option A is the correct answer.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Here,
A) 7x=7x
So, the equation that is true for all values of x.
B) Now, x-6=6-x
The equation that is not true for all values of x.
C) x.2.(-6) = x:3.4
The equation that is not true for all values of x.
Therefore, option A is the correct answer.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
A tennis ball has a diameter of 2.7 in. How many tennis balls will fit inside of a storage
unit that is 4 feet wide, 2.5 feet long, and 2 feet high?
Step-by-step explanation:
Given that,
The diameter of a tennis ball, d = 2.7 inches
We need to find the number of tennis balls will fit inside of a storage unit that is 4 feet wide, 2.5 feet long, and 2 feet high.
Let there are x number of tennis balls.
[tex]x=\dfrac{\text{Volume of box}}{\text{Volume of 1 tennis ball}}\\\\x=\dfrac{4\times 2.5\times 2}{\dfrac{4}{3}\pi \times (\dfrac{2.7}{3})^3}\\\\x=6.54[/tex]
Approximately
x = 7
Hence, there are 7 balls.
What is the horizontal asymptote of the function
Answer:
The horizontal asymptote of this function is y=0
Step-by-step explanation:
In case you need the vertical asymptote as well, it is x=3, but the horizontal asymptote is y=0.
A sample of 173 students using Method 1 produces a testing average of 88. A sample of 127 students using Method 2 produces a testing average of 53.5. Assume the standard deviation is known to be 12.22 for Method 1 and 13.59 for Method 2. Determine the 95% confidence interval for the true difference between testing averages for students Method 2.
Answer:
43 < μ₁ - μ₂ < 49
Step-by-step explanation:
Sample 1:
Mean x₁ = 88
Sample size n₁ = 173
Sample standard deviation s₁ = 12,22
Sample 2:
Mean x₂ = 53,5
Sample size n₂ = 127
Sample standard deviation s₂ = 13,59
CI 95 % α = 5% α = 0,05 α/2 = 0,025
We need to find:
( x₁ - x₂ ) - tα/2,v *√ (s₁²/n₁ ) + (s₂²/n₂) < μ₁ - μ₂ < ( x₁ - x₂ ) + tα/2,v *√ (s₁²/n₁ ) + (s₂²/n₂)
v = degree of fredom
v = [ ( s₁²/n₁ + s₂²/n₂)² / (s₁²/n₁)² /n₁-1 + (s₂²/n₂)²/n₂-1
v = [ (0,86 + 1,45 ) / 0,0043 + 0,017
v = 2,31 / 0,0213
v = 108
Then t 0,025, 108 from t table is: We will take v = 100
t = 1,984
Now
√ (s₁²/n₁ ) + (s₂²/n₂) = √ 0,86 + 1,43
√ 2,3 = 1,51
Then: CI:
(173 - 127 ) - 1,984*1,51 < μ₁ - μ₂ < ( 173 - 127 ) + 1,984*1,51
46 - 3 < μ₁ - μ₂ < 46 + 3
43 < μ₁ - μ₂ < 49
realiza las siguientes adiciones y halla abc
2+22+222+2222+...+22 222 222=abc
Answer:
sssssssssiiiiiiiiiiiiii
Answer:
6
Step-by-step explanation:
please help me please help
Answer:
y=-1/2x-7
Step-by-step explanation:
Mike travels 13 miles per 2 hours on his bike.
How far does he travel in 6 hours?
How many hours does it take to 52 miles?
Answer:
It took Markus half an hour to drive home from work. He averaged 34 miles per hour. How far does Markus live from his work?
Solution
We are given that it takes 1/2 an hour for the trip. This is a time:
t = 1/2
We are given that he averages 34 miles per hour. This is a rate:
r = 34
We are asked how few he has traveled. This is a distance. We use the d=rt equation:
d = rt
= (34)(1/2)
= 17
Markus lives 17 miles from work.
Now try one by yourself. If you want to see the answer, put your mouse on the yellow rectangle and the answer will appear.
Exercise 1
The current along the beach is moving towards the south at 1.5 miles per hour. If a piece of debris is placed into the water, how far will the current take it in 6 hours?
Step-by-step explanation:
A sculptor has just finished creating a large wooden sphere for a sculpture he is working on. The sphere has a radius of 4.3 feet and weighs approximately 10,578.59 pounds. What is the approximate density of the wood used to create the sphere? I need help
Daniel has 6 erasers. He gives one to PJ. and he gives one to Ken.
He keeps the rest. What fraction of his erasers did he give away?
Answer:
2/6 a.k.a 1/3
Step-by-step explanation:
Who names a child P.J?
An animal shelter created a dataset for all of the puppies in the shelter. The variables they recorded were tag number, breed, weight (in lbs), age (in years), size (as small, medium, or large), and cuteness (on a scale of 1 to 5). Identify the type of each variable recorded.
Answer:
Quantitative, categorical, continuous, quantitative, categorical, quantitative
Step-by-step explanation:
Tag number will be quantitative, as it is giving the dog a particular number.
Breed will be categorical, as it dividing the dogs in different categories.
Weight (in lbs) will be continous as weight can have infinite values.
Age will be quantitative, as age is a numeric value.
Size will be categorical, as its dividing the dogs in different categories of small, medium or large dog
Cuteness will be a quantitative value, as you are rating them from 1 to 5.
a floor plan is drawn using a scale of 3cm/15ft what length is represented by 1 centimeter ?
Answer:
1cm= 5ft.
Step-by-step explanation:
divide 15 by three
I need help I will give Brainliest
Answer:
[tex] 129° + (x + 19) ° = 180° \: (angles \: on \: a \: straight \: line) \\ x = 180° - (129° + 19°) \\ x = 32°[/tex]
Six friends ate in a restaurant together and split the total cost, c, equally. Each person paid less than $8. Which statements represent the scenario? Check all that apply.
The total cost of the food, c, can be represented by the inequality StartFraction c Over 6 EndFraction less-than 8.
The total cost of the food could be $48
.
The total cost of the food could be $36.
When graphed, the number line would be shaded to the left of the maximum value.
The total cost of the food must be greater than $60.
100 BRAINLY POINTS
Answer:
The total cost could be $36
Step-by-step explanation:
36/6 = 6
6 is less than 8
Answer:
A, C, and D are the correct answers.
Step-by-step explanation:
A) The total cost of the food, c, can be represented by the inequality c/6 < 8
C) The total cost of the food could be $36.
D) When graphed, the number line would be shaded to the left of the maximum value.
It's A because the 6 friends SPLIT the total cost which is c, and each person paid LESS than $8 dollars, not $8 and above. So it will look like, "total cost/6 people is less than 8" aka "c/6 < 8"
It's C because if each person paid less than $8 dollars, the total is anything under 48. (6 x 8 = 48, and 6 x 6 = 36, and 6 is less than 8.)
It's D because anything LESS than the max value could be the value to c/6. So anything to the left of 8, is less than 8, and anything to the right of 8, is greater than 8, and we want what is "< 8" less than 8 so it has to be to the left.
What are the correct justifications, listed in proper order?
Double Angle Identity, Quotient Identity for Tangent, Simplify, Double Angle Identity
Double Angle Identity, Simplify, Double Angle Identity, Quotient Identity for Tangent
Double Angle Identity, Simplify, Quotient Identity for Tangent, Double Angle Identity
Double Angle Identity, Quotient Identity for Tangent, Double Angle Identity, Simplify
Answer: A
Double Angle Identity, Quotient Identity for Tangent, Simplify, Double Angle Identity
Step-by-step explanation:
Answer:
it's a
Step-by-step explanation:
IS 7 7 Solve for a = √[? [] a a = 4 Enter the number that goes beneath the radical symbol 4 Enter
Answer:
[tex]a=\sqrt{33}[/tex]
Step-by-step explanation:
When we solve for this we should always remember this formula [tex]a^2+b^2=c^2[/tex] and since we already know b and c we can plug that in to find out what a could be but we won't actually solve it.
[tex]a^2+b^2=c^2\\a^2+4^2=7^2\\a^2+16=49\\a^2=33\\\sqrt{a^2}=\sqrt{33}\\a=\sqrt{33}[/tex]
So a would equal whatever the square root of 33 is.
Help please
What is the answer I’m struggling
Answer:
x equal 120 I did this question
Please answer this ASAP only right answers A.) 5 B.) 8 C.) 14 D.) 9
Answer: The answer is 9
Step-by-step explanation: 9 is the number and thats what median means.
Answer:
D.) 9
Step-by-step explanation:
The box and whisker plot gives you the answer about the median. It's mainly just the middle line of the box.
(4m+7n-6p)-(2m-3n-4p)
Answer:
2m + 10n - 2p
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
TermsStep-by-step explanation:
Step 1: Define
(4m + 7n - 6p) - (2m - 3n - 4p)
Step 2: Simplify
Distribute negative: 4m + 7n - 6p - 2m + 3n + 4pCombine like terms (m): 2m + 7n - 6p + 3n + 4pCombine like terms (n): 2m + 10n - 6p + 4pCombine like terms (p): 2m + 10n - 2pa college says it admits only people with sat scores among the top 10%. how high an sat score does it take to be g
Full question:
Suppose SAT scores among students are normally distributed with a mean of 500 and a standard deviation of 100.
If a college says it admits only people with sat scores among the top 10%. how high a sat score does it take to be eligible?
Answer and explanation:
To find where SAT score of student falls in the test given mean and standard deviation of scores, we can calculate: x-500/100 where x is number of SAT score of students
A sat score in the top 10% region would have a score better than 90% of other SAT scores. Therefore 0.90 has a z score of 1.28
We use algebra to find the score to be eligible thus:
1.28=x-500/100
x-500=128
x=128+500
x=628
Therefore to be eligible, a student needs to score at least 628, and be in the top 10% of scores
A large bag contains the following marbles: •
40 blue marbles
8 green marbles
16 yellow marbles
21 white marbles
Tyra selects a marble from the bag at random. Based on the information, which statement is true?
A The marble she selects is twice as likely to be yellow as it is to be green.
B.The marble she selects is more likely to be blue than all the other colors combined.
C. The marble she selects is equally likely to be yellow or white
D. The marble she selects is three times as likely to be white as it is to be green.
Answer:
it either B or C
Step-by-step explanation: cause all of the number added is 45 so it could be any of them.
